If X is a radom variable for amount you win, Then the excepted value of game or expected income i.e E(X) is 8/13.
What is Expected Income ?Expected Income is the result of multiplying your income by the probability of earning it. This expected revenue can be subtracted by the expected cost to get the expected profit.
Mathematically, E(X) = X₁p₁ + X₂p₂ + ---+ Xₙpₙ
where Xᵢ are observation and pᵢ probability of Xᵢ.
We have given that,
Total number of cards in standard card deck = 52
i.e total possible outcomes = 52
One card is drawn from deck.
Total number of king cards in 52-card deck = 4
Favourable outcomes that drawn card is king = 4
Probability of getting a king card , p = 4/52 = 1/13
Probability of not getting a king ,q = 1 - p
= 1 - 1/13 = 12/13
let X be the amount you win . You win $20 if a king is drawn and lose $1 if king is not drawn . So, probability distribution is
Xᵢ pᵢ
$20 1/13
-$1 12/13
So, E(X) = ∑ Xᵢpᵢ = 20× 1/13 + (-1)× 12/13 = 20/13 - 1/13 = 8/13
Hence, required excepted value is 8/13.
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Do linear equations have 2 answers?
In general, linear equations have one solution. However, they can have infinitely many solutions in some cases.
A linear equation in mathematics is an equation that can be written in the form
ax + b = 0
The values of x that make this equation true are the solutions to the equation. Generally speaking, linear equations have one solution, which means that there is only one value of x that will make the equation true. However, in some cases, linear equations can have infinitely many solutions. For example, if a = 0 and b = 0, then any value of x will make the equation true.
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What is the quotient for this division problem? x+33x2−2x+5 A −3x−7+26x+3 B −3x+11+38x+3 C 3x+7+26x+3 D 3x−11+38x+3
The quotient of given polynomials division is x+2. So, the correct answer is option A.
What is a quotient?A quotient is a quantity produced by the division of two numbers. The quotient has widespread use throughout mathematics, and is commonly referred to as the integer part of a division, or as a fraction or a ratio.
Given that, (x²+3x+2)÷(x+ 1)
x²+3x+2 can be written as
x²+1x+2x+2 (Splitting of middle term)
= x(x+1)+2(x+1)
= (x+1)(x+2)
Now, (x+1)(x+2)÷(x+1)
= [(x+1)(x+2)]/(x+1)
= (x+2)
Therefore, option A is the correct answer.
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What is the quotient of the following division problem (x²+3x+2)÷(x+ 1).
a. x+ 2
b. x +1
c. x²+3x +2
d. 0
Find a polynomial function of least degree having only real coefficients, a leading coefficient of 1, and roots of 1- square root of 3 , and 6-i.
The polynomial function is P(x) = x⁴ - 14x³ + 59x² - 50x - 74
What is a polynomial?A polynomial is a function in which the least power of the unknown is 2.
What is the root of a polynomial?The root of a polynomial is the value of the unknown which makes the polynomial equal zero.
How to find the polynomial of least degree having real coefficients?Since we have that the given polynomial has roots 1 - √3 and 6 - i.
We also know that their conjugates 1 + √3 and 6 + i are also roots of the polynomial.
So, the factors of the polynomial are
x - (1 - √3) = (x - 1) + √3x - (1 + √3) = (x - 1) + √3x - (6 - i) = (x - 6) + i andx - (6 + i) = (x - 6) - iSo, the required polynomial is P(x) = [(x - 1) + √3][(x - 1) - √3][(x - 6) + i][(x - 6) - i]
= [(x - 1)² - (√3)²][(x - 6)² - i²] (Since a² - b² = (a - b)(a + b))
= [(x - 1)² - 3][(x - 6)² - (- 1)]
= [(x - 1)² - 3][(x - 6)² + 1]
Expanding the brackets, we have
= [x² - 2x + 1 - 3][(x² - 12x + 36 + 1]
= [x² - 2x - 2][(x² - 12x + 37]
= x⁴ - 12x³ + 37x² - 2x³ + 24x² - 74x - 2x² + 24x - 74
Collecting like terms, we have
= x⁴ - 14x³ + 59x² - 50x - 74
So, the polynomial is P(x) = x⁴ - 14x³ + 59x² - 50x - 74
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Multiple 3/8 by the whole part and the fractional part
Multiplying 3/8 by the whole part and the fractional part is 21/32.
How to calculate the fraction?A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.
In this case, the whole and fractional part can be 1 3/4.
Therefore, the multiplication by 3/8 will be:
= 3/8 × 1 3/4.
= 3/8 × 7/4
= 21 / 32.
The fraction is 21/32.
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Complete question
Multiply 3/8 by 1 3/4 which depicts the whole part and the fractional part.
A car moves on a straight road. As the driver passes a point A on the road with a speed of 20 ms–1, he
notices an accident ahead at a point B. He immediately applies the brakes and the car moves with an
acceleration of ams–2, where a = – 6 and t s is the time after passing A. When t = 4, the car passes
the accident at B. The car then moves with a constant acceleration of 2 ms–2 until the original speed of
20 ms–1 is regained at a point C. Find
(i) the speed of the car at B, [4]
(ii) the distance AB, [3]
(iii) the time taken for the car to travel from B to C. [2]
Sketch the velocity-time graph for the journey from A to C.
Answer:
The answer to the problem is:
(i) The speed of the car at B is -4 ms$^{-1}$.
(ii) The distance AB is 32 meters.
(iii) The time taken for the car to travel from B to C is 10 seconds.
Step-by-step explanation:
To find the speed of the car at B, we can use the formula $v = v_0 + at$, where $v$ is the final speed, $v_0$ is the initial speed, $a$ is the acceleration, and $t$ is the time. In this case, $v_0 = 20$ ms$^{-1}$, $a = -6$ ms$^{-2}$, and $t = 4$ s. Plugging these values into the formula gives us:
$v = 20 + (-6)(4) = 20 - 24 = -4$ ms$^{-1}$
Thus, the speed of the car at B is -4 ms$^{-1}$.
To find the distance AB, we can use the formula $d = v_0t + \frac{1}{2}at^2$, where $d$ is the distance, $v_0$ is the initial speed, $a$ is the acceleration, and $t$ is the time. In this case, $v_0 = 20$ ms$^{-1}$, $a = -6$ ms$^{-2}$, and $t = 4$ s. Plugging these values into the formula gives us:
$d = (20)(4) + \frac{1}{2}(-6)(4^2) = 80 - 48 = 32$ meters
Thus, the distance AB is 32 meters.
To find the time taken for the car to travel from B to C, we can use the formula $v^2 = v_0^2 + 2ad$, where $v$ is the final speed, $v_0$ is the initial speed, $a$ is the acceleration, and $d$ is the distance. In this case, $v_0 = -4$ ms$^{-1}$, $v = 20$ ms$^{-1}$, $a = 2$ ms$^{-2}$, and $d$ is the distance from B to C. We can find this distance by using the formula for distance and setting $t = 0$, since we're looking for the time it takes the car to travel from B to C, not from A to B:
$d = (20)(0) + \frac{1}{2}(-6)(0^2) = 0 - 0 = 0$ meters
Thus, the distance from B to C is 0 meters. Plugging these values into the formula gives us:
$20^2 = (-4)^2 + 2(2)(0) = 16 + 0 = 16$
We can solve this equation for $t$ to find the time it takes the car to travel from B to C:
$t = \sqrt{\frac{v^2 - v_0^2}{2a}} = \sqrt{\frac{20^2 - (-4)^2}{2(2)}} = \sqrt{\frac{400}{4}} = \sqrt{100} = 10$ seconds
Thus, the time taken for the car to travel from B to C is 10 seconds.
The velocity-time graph for the journey from A to C would have a positive slope from A to B, a negative slope from B to C, and a positive slope from C to the end of the journey.
3. two sides of a triangle have lengths 12m and 15m. the angle between them is increasing at a rate of 0.35 radians/minute. a. how fast is the area of the triangle increasing when the angle between the given sides is /6
The area of the triangle will increase at a rate of 3.81 m² per second
Given,
The length of the sides of the triangle are base, 12 m and hypotenuse 15 m
Area of the triangle = 1/2 bh
We have to find h;
That is,
Sin ∅ = opposite side /hypotenuse = h/15
h = 15Sin ∅
d∅/dt = 0.06rad/s
Now,
A = bh/2 = 12 × 15sin∅/2
A = 90sin∅,
By differentiating this equation with respect to A, we have
d(A)/dt = 90cos∅d∅/dt
d(A)/dt = 90cos∅(0.06)
∅ = π/4, cosπ/4 = 0.7071
90×0.7071×0.06
= 3.81m²/s
That is,
The area of the triangle will increase at a rate of 3.81 m² per second
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Does a dilation affect the slope?
Answer: no
Step-by-step explanation: the slope stays the same because the image and pre- image are parallel which means their slope is equal
what is the answer to 281+1
Answer: 282
Step-by-step explanation:
Please answer all questions ( AT LEAST 2 OR 1 ) fast! Who ever give me the first answer that is right and does all of them will get brainiest:
1. A local community bank has 31 employees on it’s rolls. 15 employees work part-time at the bank. What fraction of full-time employees work in the bank?
2. David was gifted a 28 piece puzzle by his aunt. He has fixed 19 pieces of the puzzle.What fraction of pieces does David need to fix to complete the puzzle?
3. 20 girls were dressed in green outfits and 10 girls donned red outfits at a dance recital. What fraction of girls wore red outfits?
5. A section of Tina’s bookshelf has 15 French books and 6 Spanish books. What fraction of books on the shelf are in Spanish?
1. The fraction of full-time employees who work in the bank is 16/31.
2. The fraction of pieces that David need to fix to complete the puzzle is 9/27
3. The fraction of girls that wore red outfits is 1/2.
4. The fraction of books on the shelf that are in Spanish is 2/7.
How to calculate the fractions?1. Alocal community bank has 31 employees on it’s rolls. 15 employees work part-time at the bank. The fraction of full-time employees will be:
= (31 - 15) / 31
= 16/31
2. David was gifted a 28 piece puzzle by his aunt. He has fixed 19 pieces of the puzzle. The fraction of pieces that David need to fix will be:
= (28 - 19)/28
= 9/28
3. 20 girls were dressed in green outfits and 10 girls donned red outfits at a dance recital. The fraction of girls that wore red outfits will be:
= 10/20
= 1/2
4. A section of Tina’s bookshelf has 15 French books and 6 Spanish books. The fraction of books on the shelf that are in Spanish will be:
= Spanish books / Total books
= 6 / (15 + 6)
= 6/21
= 2/7
The above illustrate the fraction.
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You are completing a math assessment. The number of questions you complete and the time it takes you to complete them have a proportional relationship, as shown in the table.
Number of Questions 6 11
Time (in minutes) 15 ?
How much time does it take to complete 11 questions?
It will take 27 minutes 30 seconds to complete eleven questions.
What is direct proportionality?When two values are directly proportional, it indicates that if one increases by a specific percentage, the other also increases by the same percentage, direct proportionality is represented by a straight line and it equation is of the form -
y = kx
k = y/x
where [k] is the constant
Given is that the number of questions [y] completed and time [x] it takes to complete them are proportional to each other.
The number of questions [y] completed is proportional to the time [x] it takes to complete them.
That means,
y ∝ x
y = kx, where k is constant.
k = y/x
So, we can write;
y₁/x₁ = y₂/x₂
According to the question:
Let y₁= 6, x₁= 15, y₂= 11.
Substituting the values,
6/15 = 11/x₂
x₂ = 11 x 15 / 6
x₂ = 11 x 5 / 2
x₂ = 55 /2
x₂ = 27. 5
x₂ = 27 minute and 30 seconds.
Therefore, it will take 27 minutes 30 seconds to complete 11 questions.
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In a sale, the price of a computer is reduced by $124. The sale price is $1,394. Find the marked price (original price) and the rate of the discount. Round the discount rate to the nearest tenth of a percent if necessary. A. $1,270; 8. 9% c. $1,518; 8. 9% b. $1,270; 9. 79% d. $1,518; 8. 2%.
The marked price is $1518 and the rate of the discount is 8.9%.
What is meant by marked price?The marked price or list price is the amount that appears on a product's label. This is the price that the product will be sold for. But this price might be discounted in some way, and the product's real selling price might be less than the advertised price. Typically, MP is used to indicate it.
This was the initial selling price, but $194 was deducted, making the final price $1394.
Use the following formula to determine percent markdown:
(Markdown amount/Selling price)×100 is the percent markdown.
To locate Markdown
Original Selling Price – Markdown Price
Connect what you have now.
Markdown=$1518-$1394
M=124
The Markdown, as we already know, is 124.
At this point, Percent Markdown equals (124/1394)×100 PM=0.088952654×100
PM=8.9 (rounded)
As a result, the growth rate is 8.9%.
And $1394+$124=$1518.
Hence, The marked price is $1518 and the rate of the discount is 8.9%.
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An animal pen is in the shape of a regular heptagon. What is the measure of each interior angle of the animal pen? round to the nearest tenth.
The required measurement of each interior angle of the animal pen
What is interior angle?An interior angle is a point inside a shape. The polygons are the shut shape that has sides and vertices. A standard polygon has generally its interior angle equivalent to one another. For instance, a square has generally its interior angle equivalent to the right point or 90 degrees.
According to question:The question expects us to track down the inside point of a customary heptagon.
To do this initially compute the outside angle of that polygon.
The amount of outside angle is 360°. A heptagon has 7 sides.
Along these lines, one exterior angle = 360°/7 = 51.4°
inside angle+exterior angle=180°
Interior angle = 180-51.4 = 128.6°
Thus, required interior angle is 128.6°.
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Classify the following triangle. Check all that apply.
A. Acute
B. Equilateral
C. Scalene
OD. Obtuse
OE. Isosceles
OF. Right
Answer:
A and B
Step-by-step explanation:
The triangle is labeled that all three sides are equal and all three angles are equal; thus, it is an equilateral triangle and “B” is correct.
Acute triangles have all acute angles. Understanding that the triangle is equilateral, equilateral triangles have all equal angles, and the total of all three angles in a triangle is 180, we can determine that all three angles are acute and the triangle is acute, so “A” is right. (one angle = x; three angles are equal and add up to 180 —> 3x = 180; x = 60; all angles are acute).
Al’ garden i 18 feet long and 30 feet wide. He want to put fence pot the ame ditance apart along all ide of the garden. What i the greatet ditance apart that Alcan place the fence pot? (Show your work)
6 feet is the greatest distance apart by using the greatest common factor that Al can place the fence post.
What is the greatest common factor?The greatest common factor (GCF) of a set of numbers is the largest factor that all of the numbers share.
Given:
The length of the garden is 18 feet.
The width of the garden is 30 feet.
We need to find the greatest common factor between 18 and 30. These numbers can be expressed as follows (using multiplication of prime numbers).
18 = 2*3*3
30 = 2*3*5
2*3 = 6 appears in both cases and is the greatest common factor.
Therefore, 6 feet is the greatest distance apart that Al can place the fence post
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how would I make (-3,2); y=-4 into a slope-intercept form equation??
The required equation of the line in the slope-intercept form is given as x = -3.
Given that,
to determine the equation of the line passing through (-3,2 and perpendicular to the line y = -4,
The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.
Here,
The slope of the given line y = -4 is,
m = 0
Slope of the required line = -1/ 0
Now,
Slope intercept form of the equation,
y - y₁ = m (x - x₁)
y - 2 = -1/0{x + 3}
x = -3
Thus, the required equation of the line in the slope-intercept form is given as x = -3.
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someone help please step by step
Answer:
[tex]x^{1}[/tex]=[tex]\frac{-3-\sqrt{7} }{2}[/tex] [tex]x^{2}[/tex]=[tex]\frac{-3+\sqrt{7} }{2}[/tex]
Step-by-step explanation:
1) collect like terms and move everything to the left
2[tex]x^{2}[/tex]2+3x-3+3x+4=0
2[tex]x^{2}[/tex]2 +6x-3+4=0
2) find the coefficients so you can plug them into the quadratic formula
a=2, b=6, c=1
3) plug these into the quadratic formula
4) use a calculator to solve both the positive and negative equations
A birdhoue and the pole that i in on cat a hadow 15 feet long, if a peron nearby cat a hadow 5 feet long, and the peron i 4 feet tall, how tall are the birdhoue and the pole
The pole and the birdhouse both stand 18.75 feet tall.
What is a word problem in math examples?Jack has two dogs and eight cats. Jill owns 4 dogs and 7 cats. In total, how many dogs are there? How many more cats does Jane have than I do if she has 23 and I have 2, and then Jane gives me 5 cats?
How do you solve word problems in mathematics?To answer a word issue with algebra:
Establish a variable.
Utilizing the variable, write an equation.
Make the equation work.
Use the variable to determine the answer if it is not the word problem's solution.
A person standing close by casts a shadow that is five feet long. The individual is 4 feet tall..
Assume that for the birdhouse and the pole are (x) ft tall.
The shadow is now 5 feet long for a person that is 4 feet tall.
Then, for one feet long person, the shadow would be (5/4) feet long.
Then, for 15 feet long -
[tex]\frac{x}{15}[/tex] = [tex]\frac{5}{4}[/tex]
x = (15 x 5)/4
x = 75/4
x = 18.75 feet tall
As a result, both the pole and the birdhouse are 18.75 feet tall.
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In which coordinate of the point which divides the join of 1/7 and 4/3 in the ratio 2 3?
The coordinates of the point dividing the join of given points will be equal to (1, 3).
If we need to find the coordinates of a point P(x, y) dividing the join of points (x₁, y₁) and (x₂, y₂) in the ratio m:n then the formula is expressed as
P(x, y) = [(mx₂ + nx₁/m + n), (my₂ + ny₁/m + n)]
We have the values as m:n = 2:3 and
(x₁, y₁) = (-1, 7) and (x₂, y₂) = (4, -3)
On using the above formula we get
P(x, y) = [2(4) + 3(-1)/2 + 3, 2(-3) + 3(7)/2 + 3]
P(x, y) = [(8 - 3)/5, (-6 + 21)/5]
P(x, y) = (1, 3) which is the required coordinate.
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Complete Question:
Find the coordinates of the point which divides the join of (-1, 7) and (4, - 3) in the ratio 2 : 3.
What happens to the area when you dilate?
When we dilate the area , it is multiplied by the square of dilation factor .
In the question ,
it is given that ,
the area of the figure ,
we have to explain what will happen to the area when we dilate the figure .
let the figure be a square ;
let the unit square's length be x ,
and let the dilation factor be "k" ;and
So ,the comparison square's length be kx .
the area of the original square is = x² and
the area of the new square is = (kx)²
So , the ratio of the areas will be = (kx)²/x²
simplifying further ,
we get ,
= k² .
Therefore , the area gets multiplied by k² .
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you buy 15 apples and a $2.75 block of cheese. the bill cost $6.20. write and solve an equation to find "a" the cost of each apple
The cost of each apple is equal to $0.23.
Linear Function
An equation can be represented by a linear function. The standard form for the linear equation is: y= mx+b , for example, y=8x+3. Where:
m= the slope.
b= the constant term that represents the y-intercept.
For the given example: m=8 and b=3.
The question gives:
15 apples (A)$2.75 block of cheesebill cost = $6.20You should convert the data into an equation:
15A+2.75=6.20
15A=6.20-2.75
15A=3.45
A=3.45/15
A=0.23
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what graph represents a liner function
Answer:
A linear function can be represented by a graph that is a straight line. The equation for a linear function is of the form y = mx + b, where m is the slope of the line and b is the y-intercept (the point where the line crosses the y-axis). The slope of the line tells us how steep the line is, and whether it has a positive or negative slope. A positive slope means that the line is sloping upwards from left to right, while a negative slope means that the line is sloping downwards from left to right.
Helpppp
(5-√11) : 3 √7
Answer:
= 5√7 - 3√77: 63 or 5√7 - 3√77/63
what kind of function can be used to model the amount of air pollution in this city over the next several years, assuming no other significant changes
By using the concept of depreciation, it can be concluded that-
The function that could be used to model the amount of air pollution in this city over the next several years, assuming no other significant changes is an exponential function.
What is growth?
Growth is the exponential increase in the value of an asset or article or population at a certain rate over a certain period of time
EPA calculated that the air pollution should decrease by approximately 8% each year
The function that could be used to model the amount of air pollution in this city over the next several years, assuming no other significant changes is an exponential function.
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Complete Question
One function of the Environmental Protection Agency (EPA) is to reduce air pollution. After implementing several pollution reduction programs in a certain city, EPA calculated that the air pollution should decrease by approximately 8% each year. What kind of function could be used to model the amount of air pollution in this city over the next several years, assuming no other significant changes?
The answer is 9 (2b - 5)
Answer:
18b-45
Step-by-step explanation:
9(2b-5)
9*2b-9*5
18b-9*5
18b-45
Answer:
9(2b - 5)
Distribute
9(2b - 5)
18b - 45
Solution
18b - 45
The management of the local zoo wants to know if all of their animal exhibits are equally popular. If there is significant
evidence that some of the exhibits are not being visited frequently enough, then changes may need to take place within the
zoo. A tally of visitors is taken for each of the following animals throughout the course of a week, and the results are
contained in the following table. At a = 0.10, determine whether there is sufficient evidence to conclude that some exhibit
are less popular than others.
Number
of
visitors
Animal Exhibits at the Zoo
Elephants Lions/Tigers Giraffes Zebras Monkeys Birds Reptiles
133
172
163
165
134
155
148
Copy Data
Step 2 of 4: Calculate the expected value for the number of visitors for the lions and tigers exhibit. Enter your answer as a
fraction or a decimal rounded to three decimal places.
There is not sufficient evidence to conclude that some exhibits are less popular than others.
How to test the hypothesis?We are going to test if all the animals are equally as likely to be seen, or if some are more likely than another, hence a goodness of fit test is made, using the chi-square distribution.
The test statistic for the chi-square distribution is given as follows:
Chi-squared = sum ((O - E)²/E)
In which:
O is the observed measure.E is the expected measure.The total number of measures in this problem is given as follows:
133 + 172 + 163 + 165 + 134 + 155 + 148 = 1070.
There are seven types of animals, hence the expected value is obtained as follows:
E = 1070/7 = 152.86.
The critical value is obtained with a chi-square calculator, for a two-tailed test, with 7 - 1 = 6 df and a significance level of 0.1, hence it is of:
Chi squared = 10.64.
Hence the conclusion will be reached as follows:
Chi-squared < 10.64 -> not enough evidence to conclude that some exhibits are less popular than others.Chi-squared > 10.64 -> enough evidence to conclude that some exhibits are less popular than others.The test statistic is calculated as follows:
Chi-squared = 1/152.86 x [(133 - 152.86)² + (172 - 152.86)² + (163 - 152.86)² + (165 - 152.86)² + (134 - 152.86)² + (155 - 152.86)² + (148 - 152.86)²]
Chi-squared = 9.13.
Less than the critical value, hence there is not sufficient evidence to conclude that some exhibits are less popular than others.
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you want to grade on the normal curve. what characteristic of the distribution used should be of most concern
The class mean and standard deviation of the distribution used should be of most concern.
What is mean and standard deviation?
In statistics, the measurement of variability known as the standard deviation (SD) is frequently utilised. It demonstrates how different things are from the norm (mean). While a high SD shows that the data are dispersed throughout a wide range of values, a low SD suggests that the data points tend to be close to the mean.The mean and SD provide information about the average value and the average distribution of values around the mean, respectively.The standard deviation is a measure that summarises how far away from the mean each observation is. The positive would exactly balance the negative if the discrepancies themselves were totaled together, making their aggregate equal to zero.To know more about mean check the below link:
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A delivery service charges a flat rate of $4.25 per box plus an additional
amount per ounce. Carl mailed a four-pound package at a cost of $10.65.
How much did Carl have to pay per ounce?
Marissa decides she wants to retire early. She makes an initial deposit of $1,000. Her contributions are $500 a month for the next 15 years. She chooses to invest in the US stock market through an index fund with a 7% return annually. What is the balance of Marissa’s retirement account after 15 years?
The balance of Marissa’s retirement account after 15 years if She makes an initial deposit of $1,000. Her contributions are $500 a month for the next 15 years is $8500.
What is interest?
When the loan is given to you, then some amount is charged to you for the principal amount and that is called interest.
Given data:
Initial deposit = $1000
Her contributions are $500 a month for the next 15 years
Amount after 15 years = Initial deposit + 15 × 500
Amount after 15 years = $1000 + 7500
Amount after 15 years = $8500
Therefore, the balance of Marissa’s retirement account after 15 years if She makes an initial deposit of $1,000. Her contributions are $500 a month for the next 15 years is $8500.
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What is the value of x in the solution to this system of equations?
y + 2x = -1
y=x+4
F.3
G65
H.-10/3
J.-2
The value of x in the solution to this system of equations y + 2x = -1 and y=x+4 is 3.
Define elimination method.The elimination approach involves taking one variable out of the system of linear equations by utilizing addition or subtraction together with multiplication or division of the variable coefficients. To create an equation in one variable using the elimination approach, you can either add or subtract the equations. To eliminate a variable, add the equations when the coefficients of one variable are in opposition, and subtract the equations when the coefficients of one variable are in equality.
Given,
Equations:
y + 2x = -1
y = x + 4
y - x = 4
Using elimination method,
y + 2x = -1
y - x = 4
-------------
x = 3
The value of x in the solution to this system of equations y + 2x = -1 and y=x+4 is 3.
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9w-10 help please i am so dum
Answer:
w=10/9
Step-by-step explanation: