Answers
1) Linear equation has no solutions.
2) It has one solution.
3) It has many solutions.
Define linear equation.The points where the lines representing the intersection of two linear equations intersect are referred to as the solution of a linear equation. In other words, the set of all feasible values for the variables that satisfy the specified linear equation constitutes the solution set of the system of linear equations.
Given,
Linear equations:
1) 3x - y = 4
6x - 2y = 8
Multiplying 3x - y = 4 by 2
6x - 2y = 8
6x - 2y = 8
0 = 0
It has no solutions.
2) -3x + y = 7
2x - 4y = -8
2(x - 2y ) = -8
x - 2y = -4
Multiplying x - 2y = -4 by 3
-3x + y = 7
3x - 12y = -12
-11y = -5
y = 5/11
It has one solution.
y = -4x -5
y = -4x + 1
It has many solutions.
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Related Questions
Practice 5
In Richmond, Virginia, the average daily high temperature was 90°F for July. The average daily low temperature for the same month was 69°F. If a day's temperature change is measured by comparing the morning/low temperature to the afternoon/high temperature, what is the percent of increase between the average low and high temperatures in July? Round your answer to the tenths place. Do not include the % symbol in your answer.
Answers
26°F in July would be the percent of increase between the average low and high temperatures.
What is the temperature range?The difference between how hot and how cold two locations are is known as the temperature range.So, the month's typical daily maximum temperature is 90°F.
The month's typical low temperature is 69°F.The difference in temperature between the two ranges is 21°F or 90-69°F.When comparing the two temperatures, the result is:
79.5°F = 90+69/2 = 159/2The daily low-temperature increase as a percentage:
= 21/79.5 × 100/1= 2100/79.5= 26.4= 26°F ( nearest to the tenth place)Therefore, 26°F in July would be the percent of increase between the average low and high temperatures.
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Question 2 Part C (2.02, 2.05): The linear function f(x) represents the average test score in your language arts class, where x is the number of the test taken. The linear function g(x) represents the average test score in your social studies class, where x is the number of the test taken.
Answers
Answer:
f(x)
Step-by-step explanation:
[tex]f(4)=0.3(4)+80=81.2 \\ \\ \\ \frac{g(3)-g(2)}{3-2}=\frac{81-83}{1}=-2 \\ \\ \therefore g(x)-85=-2(x-1) \\ \\ g(x)=-2x+2+85=-2x+87 \\ \\ g(4)=-2(4)+87=79 \\ \\ \therefore f(4)>g(4) \implies \boxed{f(x)}[/tex]
Rewrite in simplest terms: -5a – 8(-8a + 1)
Answers
The expression is given as
[tex]-5a-8(-8a+1)[/tex]Step 1: Expand the parenthesis (-8a+1) by multiplying through by -8:
[tex]\begin{gathered} -5a\lbrack+64a-8\rbrack \\ \therefore-5a+64a-8 \end{gathered}[/tex]Simplify the expression by collecting and solving like terms:
[tex]\begin{gathered} -5a+64a-8\text{ } \\ =59a-8 \end{gathered}[/tex]Thus, the simplest term is 59a - 8
4 in length and 2.6 in width What is the area in feet. Round to nearest hundredth place.
Answers
Solution
Given a rectangle of the dimension
[tex]\begin{gathered} \text{Length}=L=4\text{ in} \\ \text{Breadth}=B=2.6\text{ in} \end{gathered}[/tex]To find the area, A, of a rectangle, the formula is
[tex]A=LB[/tex]Where
[tex]\begin{gathered} 1ft=12\text{in} \\ 4\text{ in}=\frac{1}{3}ft \\ 2.6\text{ in}=\frac{13}{60}ft \end{gathered}[/tex]Substitute the values into the formula above
[tex]\begin{gathered} A=LB \\ A=\frac{1}{3}\times\frac{13}{60}=\frac{13}{180}=0.07222ft^2 \\ A=0.07ft^2\text{ (nearest hundredth)} \end{gathered}[/tex]Hence, the answer is 0.07ft² (nearest hundredth)
WILL GIVE BRAINIEST!!!!!
Answers
The x-coordinates of the points of intersection of the given function graphs are;
1) x = 0 and x = 2
2) x = -1
3) x = 0
What is the point of intersection of the graph?
The point of intersection of a graph is defined as the point or coordinates where two lines or curves meet each other.
1) In the first graph, we are given the functions as;
f(x) = -³/₄x² + 3x + 1
g(x) = 2ˣ
Thus;
From the graph, f(x) = g(x) is at (2,4 and (0, 1)
2) In the first graph, we are given the functions as;
f(x) = x² + 4x + 2
g(x) = (¹/₂)ˣ + 1
Thus;
From the graph, f(x) = g(x) is at (-1. 3)
C) In the third graph, we are given the functions as;
f(x) = -⁷/₃x - 3
g(x) = 2ˣ - 4
Thus;
From the graph, f(x) = g(x) is at (0, -3)
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You used a student deck of 52 cards and selected a card at random find (c) 2 of heart
Answers
Definition
Theoretical Probability is the ratio of the number of favorable outcomes to the total possible outcomes of an event.
Expressing probability as a formula:
[tex]\text{probability = }\frac{Number\text{ of favorable outcomes}}{Total\text{ possible outcomes of an event}}[/tex]Information about a standard deck of cards:
A standard deck of cards has four suits: hearts, clubs, spades, diamonds. Each suit has thirteen cards: ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, jack, queen, and king. Thus the entire deck has 52 cards total.
(a) Picture card (J, Q, and K)
In a standard deck, there are 4 Jacks, Queens, and Kings. Hence, the probability of J, Q, and K are:
[tex]\begin{gathered} \text{Number of picture cards = 4 }\times\text{ 3} \\ =\text{ 12} \end{gathered}[/tex]Probability as a fraction:
[tex]=\text{ }\frac{12}{52}[/tex]In decimal:
[tex]=\text{ }0.23[/tex]Percent:
[tex]\begin{gathered} =\text{ 0.23 }\times\text{ 100} \\ =\text{ 23\%} \end{gathered}[/tex](b) 9 or 10
There are 4 cards labeled 9 and 10 each.
Probability as a fraction:
[tex]\begin{gathered} P(9or10)=\text{ P(9) + P(10)} \\ =\text{ }\frac{4}{52}\text{ + }\frac{4}{52} \\ =\text{ }\frac{8}{52} \end{gathered}[/tex]In decimal:
[tex]=\text{ 0.15}[/tex]In percent:
[tex]\begin{gathered} =\text{ 0.15 }\times\text{ 100} \\ =\text{ 15\%} \end{gathered}[/tex](c) 2 of heart
In a standard deck of cards, there are only one 2 of hearts.
Probability as a fraction:
[tex]=\text{ }\frac{1}{52}[/tex]In decimal:
[tex]=\text{ 0.02}[/tex]In percent:
[tex]\begin{gathered} =\text{ 0.02 }\times\text{ 100} \\ =\text{ 2\%} \end{gathered}[/tex]You have (12,-6) that dilates to (9,-4.5), what is the dilation?
Answers
The dilation is a reduction.
Lets the origin O(0,0) as a common point.
Let A be the point (12,-6) and B be the point (9,-4.5)
Distance formula = [tex]\sqrt{(x1-x2)^{2}+(y1-y2)^{2} }[/tex]
Therefore,
Distance between A and O = AO = [tex]\sqrt{(12-0)^{2}+(6-0)^{2} }[/tex]
= [tex]\sqrt{12^{2} +6^{2} }[/tex]
= [tex]\sqrt{144 + 36}[/tex]
= [tex]\sqrt{180}[/tex]
= 13.42
Distance between B and O = BO = [tex]\sqrt{(9-0)^{2}+(-4.5-0)^{2} }[/tex]
= [tex]\sqrt{9^{2} +(4.5)^{2} }[/tex]
= [tex]\sqrt{81 + 20.25}[/tex]
= [tex]\sqrt{101.25}[/tex]
= 10.06
As we can see, OA > OB
Therefore, it is a reduction.
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Write the inequality that matches the description. The boundary line is dashed and has a slope of -7 and a y-intercept of 2. The area below the line is shaded.
Answers
Answer:
y<-7x+2
Explanation:
The slope-intercept form of a line is: y=mx+b
• When slope, m = -7
,• y-intercept, b = 2
We have:
[tex]y=-7x+2[/tex]Since the boundary line is dashed, the inequality sign has to be < or >.
However, since the area below the line is shaded, we can now conclude that the inequality sign is: <
The inequality that matches this description is:
[tex]y<-7x+2[/tex]Help me with my algebra. Please and thank you.
Answers
Answer:
A
Step-by-step explanation:
The system of equations listed in answer A fits both of the criteria.
as x represents the number of 55-inch televisions and y fits the criteria of the number of 65-inch television, we can use the knowledge we have from the question that we can combine these two variables to get a total number of tv's.
As said in the question: "The first week they sold 44 TVs total" meaning that the combined total amount of TV's sold was 44, meaning x + y (which are just variables, not "known" amounts equates to 44.
x + y = 44
The second equation in the system represents the profits. Using the same knowledge from before, we don't know how many how many tv's of each were sold but we can use these variables to present that each 55-inch tv is worth $349 and each 65-inch tv is worth $469.
349x+469y = 17,516 represents this perfectly, thus making A our answer
Valerie earns $28,000.00 per year as an assistant hotel manager. Find her
average pay to the nearest cent if she works 38 hours per week, for 52 weeks
out of the year.
Answers
Answer:
$14.17 per hour
Step-by-step explanation:
You want Valerie's average pay to the nearest cent if she works 38 hours per week, for 52 weeks out of the year, receiving annual pay of $28,000.
Pay per HourIn a year, Valerie works ...
(38 hours/week) × (52 weeks/year) = 1976 hours/year
She is paid $28,000 for that number of hours, so her hourly pay is ...
$28,000/(1976 hours) ≈ $14.17/hour
Valerie's average pay is about $14.17 per hour.
pls help, this is too hard for me
Answers
The value that will be included in section D is C option 0.
The number that could not be included in the section B is D option [tex]\sqrt{32}[/tex].
An example of a value that could be represented by C is -10.
As we can observe from the figure, we can write the following:-
E is the set of natural numbers.
D is the set of whole numbers.
C is the set of integers.
D is the set of rational numbers.
A is the set of irrational numbers.
The biggest rectangle is the set of real numbers comprising of rational and irrational numbers.
Hence,
The value that will be included in section D is C option 0 as it is whole number.
The number that could not be included in the section B is D option [tex]\sqrt{32}[/tex] as it is an irrational number and will be included at A.
An example of a value that could be represented by C is -10 as C represents the set of integers.
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Which is the graph of the inverse sine function?
On a coordinate plane, a graph starts at (negative 1, negative StartFraction pi over 2) and increases through (0, 0) to (1, StartFraction pi Over 2 EndFraction).
On a coordinate plane, a graph starts at (negative 1, pi) and decreases through (0, StartFraction pi Over 2 EndFraction) to (1, 0).
On a coordinate plane, a graph starts at (negative StartFraction pi Over 2 EndFraction, 0) and increases through (0, 0) to (StartFraction pi Over 2 Endfraction, 1).
Answers
a) is the graph of inverse sine function.
Define inverse sine function.The inverse of the sine function, also known as the arcsine function, returns the angle's value when the sine function's opposite side and hypotenuse ratio are equal. It produces the angle's value.
When the opposing side and hypotenuse of a right triangle are known, the angles can be determined using the inverse sine function. That is, angle = sin-1. The inverse sine function, which is represented as sin-1 or arcsine, is one of the inverse trigonometric functions that calculates the inverse of the sine function. Each restricted domain inverse of a trigonometric function, such as cosine, tangent, cosecant, or cotangent, exists. The trigonometric ratios from the right-angle triangle are utilized to compute the angles using the inverse function formulas.
Given,
a) is the graph of inverse sine function.
Function - inverse sine
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Answer:
A
Step-by-step explanation:
A set of tires for your car cost 435.00 what is the cost for one tire?
Answers
Answer: Provided that the car has four tires, the cost per tire would be $ 108.75
Step-by-step explanation:
435 (Total tire cost) / 4 (number of tires) = 108.75 (the cost per tire)
**Cost model used does not include taxes or applicable other fees.
Answer:
108.75 each tire
Step-by-step explanation:
because 435.00 dividEd by 4 equals 108.75
The circumference of a circle is 22π ft. What is the area, in square feet? Express your answer in terms of \piπ.
Answers
Answer:
121 pi
Step-by-step explanation:
pi d =22 pi
divide both side by pi to find diameter
d=22
divide by 2 too find radius
11 is the radius
plugg 11 to pi r ²
121 pi
Bonjour est-ce que vous pouvez m’aider s’il vous plaît voici l’exercice
C’est l’exercice 19
Answers
Answer:
a = ⁵⁄₃ = 1⅔
b = ¼
c = ⁵⁄₇
d = ¹³⁄₁₂ = 1¹⁄₁₂
e = -⁷⁄₃₀
f = ³⁷⁄₁₄ = 2⁹⁄₁₄
I need help! fast! please help will give 50 points
Answers
Answer:
9/2
Step-by-step explanation:
Answer
the commisoin is 270
In ΔKLM, l = 710 cm, k = 130 cm and ∠K=161°. Find all possible values of ∠L, to the nearest 10th of a degree.
PLEASE HELP
Answers
The value of ∠L is 2.909° as the definition of angle is "An angle is created by joining two line segments at one point, or we can say that an angle is the combination of two line segments at a common endpoint".
What is angle?An angle is created by joining two line segments at one point, or we can say that an angle is the combination of two line segments at a common endpoint. When two straight lines or rays intersect at a single endpoint, an angle is created. The vertex of an angle is the location where two points come together. The Latin word "angulus," which means "corner," is where the word "angle" originates. Based on measurement, there are different kinds of angles in geometry. The names of fundamental angles include acute, obtuse, right, straight, reflex, and full rotation. A geometrical shape called an angle is created by joining two rays at their termini. In most cases, an angle is expressed in degrees.
Here,
Side k = 130
Side l = 710
Side m = 833.99204
Angle ∠L = 2.909°
Angle ∠M = 16.091°
Angle ∠K = 161°
Angle L=cos⁻¹((m²+ k² - l²)/2mk)
=cos⁻¹((834²+130²-710²)/2*834*130)
= 2.909°
Since the definition of an angle is "An angle is created by joining two line segments at one point, or we can say that an angle is the combination of two line segments at a common endpoint," the value of ∠L is 2.909°.
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qrst is a square find Qu if qs =16t-14 and qu=6t+11
Answers
You have the square QRST, furthermore, you have that sides QS and QU are given by the following algebraic expressions:
QS = 16t - 14
QU = 6t + 11
Due to QRST is a square, the length of all sides are equal.
You can notice by the symmetry of the figure that QS = 2QU
Equal the expressions for QS and 2QU and solvde for t:
16t - 14 = 2(6t + 11) apply distribution property
16t - 14 = 12t + 22 add 14 both sides
16t = 12t + 22 + 14 subtract 12t both sides
16t - 12t = 22 + 14 simplfy like terms
4t = 36 divide by 4 both sides
t = 36/4 simplify the fraction
t = 9
Hence, the value of t is t = 9
A swimming pool is being filled. If the depth of the water increases at the rate of 13.5 inches of water per hour. After 6 hours how many feet of water have been added to the pool?
Answers
Given data:
The depth of water increases per hour is d= 13.5 in/hour.
The given time is t= 6 hours.
The amount of water added is,
[tex]\begin{gathered} W=d\times t \\ =(13.5)(6)\text{ }in \\ =81\text{ in} \\ =81\text{ in(}\frac{1\text{ ft}}{12\text{ in}}) \\ =6.75\text{ ft} \end{gathered}[/tex]Thus, 6.75 feet of water added in 6 hours.
use the commutative property to write an expression equivalent to -5 d + 1/2
Answers
We are asked to use the commutative property in the following expression:
[tex]-5d+\frac{1}{2}[/tex]Let's remember that the commutative property states the following:
[tex]a+b=b+a[/tex]In this case, we can swap the order of the terms and they will remain equivalent, like this:
[tex]-5d+\frac{1}{2}=\frac{1}{2}-5d[/tex]And thus we have rewritten the expression using the commutative property
Solve the equation to find the value of x. log2(5x-4)=4
Answers
The given equation is
[tex]\log _2(5x-4)=4[/tex]To solve for x, the logarithm to indices relationship will be applied
That is
[tex]\begin{gathered} \log _ab=x \\ \Rightarrow b=a^x \end{gathered}[/tex]Hence
[tex]\begin{gathered} \log _2(5x-4)=4 \\ \Rightarrow5x-4=2^4 \end{gathered}[/tex]This is simplified to get
[tex]\begin{gathered} 5x-4=16 \\ 5x=16+4 \\ 5x=20 \\ x=\frac{20}{5} \\ x=4 \end{gathered}[/tex]Therefore, the value of x = 4
Joseph runs 2/3 of a mile in 8 minutes. If Joseph runs at that speed, how long will it take him to run four miles? pls include explanation
Answers
Joseph runs 4 miles in 48 minutes.
From the question, we have
Joseph runs 2/3 of a mile in 8 minutes.
Joseph runs 1 mile in (3*8)/2 = 12 minutes.
Joseph runs 4 miles in (12*4)= 48 minutes.
Multiplication:
Finding the product of two or more numbers in mathematics is done by multiplying the numbers. It is one of the fundamental operations in mathematics that we perform on a daily basis. Multiplication tables are the main use that is obvious. In mathematics, the repeated addition of one number in relation to another is represented by the multiplication of two numbers. These figures can be fractions, integers, whole numbers, natural numbers, etc. When m is multiplied by n, either m is added to itself 'n' times or the other way around.
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Which linear equality will not have a shared solutionset with the graphed linear inequality?Oy> ²x + 2Oy<-5x-72Oy>-x-5Oy < 5 x + 2
Answers
The linear inequality y</5/2 x - 7 does not have any common solution set with the given inequality.
The solution sets of the linear inequality are drawn in the graph attached below,
From the graph it is seen that the yellow part represents the inequality y≥-5/2 x - 3
And the green section of the graph represents the other inequality
y<-5/2 x - 7
As we can see in the graph that the two areas are separate. So there are no common points.
Again if we consider the two inequalities as two lines y= -5/2 x - 3
and y = -5/2 x - 7 . we can see that they both have the same slopes of -5/2 so they are parallel lines. so they will never intersect.
Therefore we can conclude that the inequality y</5/2 x - 7 does not have any common solution set with the given inequality.
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a person must score in the upper 7% of the population on an admissions test to qualify for membership in society catering to highly intelligent individuals. if test scores are normally distributed with a mean of 110 and a standard deviation of 15, what is the minimum score a person must have to qualify for the society? (round your answer to the nearest integer.)
Answers
Answer:
Below
Step-by-step explanation:
Look for .9300 on the z-score table
= z-score = + 1.48
1.48 standard deciations = 1.48 * 15 = 22.2
110 + 22.2 = 132.2
132.2 is 1.48 standard deviations above the mean and is .9308 (93.08%)
1. 2x + 7 + 3x + 5 =5x+12
2. 3x + 9 + 4x + 3 =7x+12
3. 5x - x = 4x
4. 5y + 7y = 12y
5. 7 + 6y + 5 =6y+12
6.2 + 6x + 4 + x = 6+7x
7.4 + 5y + 6 + 2y = 10+7y
8. 3x + 9 + 4x - 5 =4+7x
9.8+y-5+ 2y = 13+1y
10. 6y + 4 + 8y + 9 =14y+13
11. 2+x-1 + 4x=1+5x
12. 8y + 4y = 12+
pls i need the answers like now!!
Answers
Answer:are you fr bro??
1.true
2.true
3.true
4.true
5.true
6.true
7.true
8.true
9.y=2
10.true
11.true
12.y=1
Step-by-step explanation:
1. 5x+12=5x+12
2.7x+12=7x+12
3.5x=5x
4.12y=12y
5.6y+12=6y+12
6.7x+6=7x+6
7.7y+10=7y+10
8.7x+4=7x+4
9.3+3y=13+y
2y=10
y=2
10.14y+13=14y+13
11.5x+1=5x+1
12.12y=12
y=1
The number of cups of strawberries in a shortcake recipe is proportional to the number of cups of sugar in the recipe. The recipe uses 5 cups of strawberries per 1/4 cup of sugar.
PART A - What is the constant of proportionality for the relationship between cups of strawberries and cups of sugar
Answers
The constant of proportionality is 20.
What is constant of proportionality?
The constant of proportionality is the ratio between two directly proportional quantities. Two quantities are directly proportional when they increase and decrease at the same rate.
Given,
the recipe uses 5 cups of strawberries per 1/4 cup of sugar.
And let constant of proportionality is k.
that is
5 α 1/4
5 = k1/4
k = 5(4)
k = 20
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18 pizzas were ordered for a holiday party at Reedy Creek Elementary
Answers
ANSWER
C. 12
EXPLANATION
1/3 of the pizzas is:
[tex]18\times\frac{1}{3}=\frac{18}{3}=6[/tex]Therefore, 6 pizzas were cheese and the rest were pepperoni:
[tex]18-6=12[/tex]There were 12 pepperoni pizzas.
60.60 increased by 60%
Answers
The answer is 96.96
From the question, we have
60.60 increased by 60%
= 60.60 + 60.60 * 60/100
= 96.96
Percentage:
Use the percentage formula to express a number or percentage in terms of 100. % simply indicates one out of one hundred. An expression for a number between 0 and 1 can be made using the percentage formula. It is a number that is represented as a fraction of 100. The sign % is used to denote it and it is mostly used to compare and calculate ratios. The formula for percentage increases is the ratio of the increased value to the original value multiplied by 100. It is described in percentage form. If anything is valued more highly, both its value and proportion will rise.
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What is the slope of the line that passes through the points (0, -8) and (0,−10)? Write your answer in simplest form.
Answers
Answer:
Undefined
Step-by-step explanation:
The x-coordinates of two points on the line are the same, so the line is vertical. Thus, the slope is undefined.
Lindsey bought a picnic basket originally priced at $40 but on sale for 50% off. After 10% sales tax, what was the total cost?
$
Answers
Answer:
Step-by-step explanation:
I got 22 my friend hope i helped.
Answer:
$18
Step-by-step explanation:
50% of 40 is 20, so 40-20=20
10% of 20 is 2, so 20-2=18
total price=$18