Answer:
x=−2
y=7
Step-by-step explanation:
5x+2y=4
x−3y=−23
In order to solve by elimination, coefficients of one of the variables must be the same in both equations so that the variable will cancel out when one equation is subtracted from the other.
5x+2y=4,x−3y=−23
To make 5x and x equal, multiply all terms on each side of the first equation by 1 and all terms on each side of the second by 5.
5x+2y=4,5x+5(−3)y=5(−23)
Simplify.
5x+2y=4,5x−15y=−115
Subtract 5x−15y=−115 from 5x+2y=4 by subtracting like terms on each side of the equal sign.
5x−5x+2y+15y=4+115
Add 5x to −5x. Terms 5x and −5x cancel out, leaving an equation with only one variable that can be solved.
2y+15y=4+115
Add 2y to 15y.
17y=4+115
Add 4 to 115.
17y=119
Divide both sides by 17.
y=7
Substitute 7 for y in x−3y=−23. Because the resulting equation contains only one variable, you can solve for x directly.
x−3×7=−23
Multiply −3 times 7.
x−21=−23
Add 21 to both sides of the equation.
x=−2
The system is now solved.
x=−2,y=7
Graph if needed:
Please help. Will give brainliest.
Answer:
2
Step-by-step explanation:
Answer:
the answer to the question is 2
A table showing pairs of r- and yvalues is shown below.
х
у
0 0.5
1 1.5
2. 4.5
3 13.5
4 40.5
Which equation describes the relationship between the pairs of r- and y-values?
Answer:
4
Step-by-step explanation:
Which linear inequality represents the solution set graphed?
A. y≥4x+5
B. y>4x-5
C. y≥4x-5
D. y>-4x-5
The linear inequality (B) y>4x-5 represents the given solution set graph.
What is linear equality?A linear inequality in mathematics is an inequality involving a linear function. One of the symbols for inequality is found in linear inequality. It displays non-equal data in graph style. The boundary line that separates the coordinate plane into two halves by a linear inequality represents the solutions to the inequality in one half. For > and, the border line is solid, and for and, it is dashed. Typically, the half-plane that resolves the inequality is shaded.So, the linear inequality that represents the graph:
Graph the inequation as follows:
(A) y≥4x+5 (Refer to attached Graph 1)(B) y>4x-5 (Refer to attached graph 2)(C) y>-4x-5 (Refer to attached graph 3)Now, we can easily notice that graph 2 which is of equation (B) y>4x-5 matches the given graph.
Therefore, the linear inequality (B) y>4x-5 represents the given solution set graph.
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The correct question is given below;
Which linear inequality represents the solution set graphed?
A. y≥4x+5
B. y>4x-5
C. y>-4x-5
Can someone help me with this picture? (Ignore 45,15)
Answer:
h = 5 (3+p)
Step-by-step explanation:
3 hrs = $45 + $15p
h = 45+15p / 3 (This was supposed to be a fraction)
h = 15 (3+p)/ 3 (This was supposed to be a fraction)
h = 5 (3+p) (You might use different variables from me)
hrs = hours
p = per person
Brainlist pls!
Help me solve this problem please
Answer:
x=0
Step-by-step explanation:
Slope for y:2(x-y)-2(2x+7)=4
Answer:
graph y=2x-7
Step-by-step explanation:
Help!!!!!! Please I have no idea what this is!!!
Answer:
33.49 cubic units
Step-by-step explanation:
[tex]V_{sphere} = \frac{4}{3} \times \pi {r}^{3} \\ \\ V_{sphere} = \frac{4}{3} \times \pi {(2)}^{3} \\ \\ V_{sphere} = \frac{4}{3} \times \pi \times 8 \\ \\ V_{sphere} = \frac{32 \times 3.14}{3} \\ \\ V_{sphere} = \frac{100.48}{3} \\ \\ V_{sphere} = 33.4933333\\ \\ V_{sphere} \approx 33.49\: units^3 [/tex]
Y = 1/2x + 3 on a graph
Answer:
Step-by-step explanation:
What is the question? If you want to know how to graph this equation, it's usually easiest to start with the intercepts, i.e., the points where the line crosses the axes.
y = ½x + 3 tells you that the line crosses the y-axis at (0,3), so plot that point.
Then let y = 0 and solve for x.
0 = ½x + 3
x = 6
The line crosses the x-axis at (6,0), so plot that point as well.
Then draw the line passing through those two points.
Is 9 a solution of the inequality 20 − f < 11?
Answer:
no
Step-by-step explanation:
f = 9
20 - 9 = 11
11 < 11 is incorrect
What is the product of -4 and 2 3/5
Answer:
6 3/
5
= 6.6
Step-by-step explanation:
Conversion a mixed number 2 3/
5
to a improper fraction: 2 3/5 = 2 3/
5
= 2 · 5 + 3/
5
= 10 + 3/
5
= 13/
5
To find new numerator:
a) Multiply the whole number 2 by the denominator 5. Whole number 2 equally 2 * 5/
5
= 10/
5
b) Add the answer from previous step 10 to the numerator 3. New numerator is 10 + 3 = 13
c) Write a previous answer (new numerator 13) over the denominator 5.
Two and three fifths is thirteen fifths
Add: 4 + 13/
5
= 4/
1
+ 13/
5
= 4 · 5/
1 · 5
+ 13/
5
= 20/
5
+ 13/
5
= 20 + 13/
5
= 33/
5
For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of the both denominators - LCM(1, 5) = 5. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 1 × 5 = 5. In the next intermediate step the fraction result cannot be further simplified by canceling.
In words - four plus thirteen fifths = thirty-three fifths.
Helppp Bc I don’t know what to do
Answer:
Option (b) will be the correct answer.
Step-by-step explanation:
190×10⁸
1.9×10²×10⁸
1.9×10¹⁰
Answer:
B
Step-by-step explanation:
190 x 10^8 = 19000000000
1.9 x 10 ^10= 19000000000
help please :()
Write a fraction in which the numerator and denominator are both greater than 9. Then write the fraction in the simplest form.
A cone has a diameter of 12 centimeters and a height of 9 centimeters. Using 3.14 for pi, find the
volume of the cone to the nearest tenth.
A cone has a diameter of 12 centimeters and a height of 9 centimeters. The volume of the cone would be 2034.72 cubic cm.
How to find the volume of a right circular cone?
Suppose that the radius of considered right circular cone be 'r' units.
And let its height be 'h' units.
Then, its volume is given as:
[tex]V = \dfrac{1}{3} \pi r^3 h \: \rm unit^3[/tex]
The right circular cone is the cone in which the line joining the peak of the cone to the center of the base of the circle is perpendicular to the surface of its base.
A cone has a diameter of 12 centimeters and a height of 9 centimeters.
Radius = 12/2 = 6cm
Height h = 9 cm
The volume of the cone
[tex]V = \dfrac{1}{3} \pi r^3 h \: \rm unit^3[/tex]
[tex]V = \dfrac{1}{3} \times 3.14 \times 6^3 \times 9\: \rm unit^3\\\\V = 3.14 \times 648\\\\V = 2034.72 cm^{3}[/tex]
Hence, The volume of the cone would be 2034.72 cubic cm.
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The width of a rectangular field is 20 feet less than its length. The area of the field is 12,000 ft? What is the length of the field?
80 ft
100 ft
120 ft
140 ft
Answer:
The answer is 120 feet.
Step-by-step explanation:
The area of the field (A) is:
A = w · l (w - width, l - length)
It is known:
A = 12,000 ft²
l = w - 20
So, let's replace this in the formula for the area of the field:
12,000 = w · (w - 20)
12,000 = w² - 20
⇒ w² - 20w - 12,000 = 0
This is quadratic equation. Based on the quadratic formula:
ax² + bx + c = 0 ⇒
In the equation w² - 20w - 12,000 = 0, a = 1, b = -20, c = -12000
Thus:
So, width w can be either
or
Since, the width cannot be a negative number, the width of the field is 120 feet.
The length of the field is 120 feet.
Option C is the correct answer.
What is a rectangle?A rectangle is a 2-D shape with length and width.
The length and width are different.
If the length and width are not different then it is a square.
The area of a rectangle is given as:
Area = Length x width
We have,
Let's start by using the given information to set up two equations:
Let x be the length of the field in feet.
Then, the width of the field is x - 20 feet.
The area of the field is given as 12,000 square feet:
x (x - 20) = 12,000
Expanding the left side of the equation, we get:
x² - 20x = 12,000
Bringing all the terms to one side, we get:
x² - 20x - 12,000 = 0
Now, we can solve this quadratic equation using factoring,
Completing the square, or the quadratic formula.
Here, we will use factoring:
x² - 20x - 12,000 = 0
(x - 120) (x + 100) = 0
The solutions are x = 120 and x = -100, but a negative length doesn't make sense, so we reject that solution.
Therefore,
The length of the field is 120 feet.
To check, we can substitute x = 120 into the equation for the width:
Width = x - 20 = 100 feet
Area = Length x Width
= 120 ft x 100 ft
= 12,000 sq ft
Thus,
The length of the field is 120 feet.
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Geometry please help-
If HI and JI are tangent segments, what is the measure of angle HJI?
Answer:
68°
Step-by-step explanation:
We can find this by remembering that tangents meet a circle at a ninety degree angle with the diameter or a radius that touches the point of intersection. By understanding that because these two tangents intersect at a point outside the circle there angle measure is the same so we can use the 180° total in a triangle to find the remaining degrees to be divided into the two measures we need to find. Because 180 - 48 equals 132 we divide this by 2 to get our angle measure of 68 degrees.
WILL MARK BRAINLEST
The mean of 16 items was found to be 30. On rechecking, it was found that two items were wrongly taken as 22 and 18 instead of 32 and 28 respectively. Find the correct mean. Round to the nearest Hundredth.
Answer: The answer is 31.25 because The mean of 16 items was found to be 30. So once you checked, it was that 2 items were wrongly taken as 22 and 18 instead of 32 and 28 respectively. Sum = mean no of items = 30 16 = 480
(32 +28) – (22 + 18) = 20
Correct mean = = 31.25
Step-by-step explanation: My apologize that I took long I hope this helps.
Help please I don’t understand
Answer:
x=0.75645 in radians
x=43.34175 in degrees
Step-by-step explanation:
cos(x)=8/11
Answer:
approximately 46.66
Step-by-step explanation:
label the following sides as 11=h and 8=o.
circle the missing angle x
remember SohCahToa
since you have h and o that means you are using (sin) on your calculator and since the angle is missing you do the inverse of sin multiplied by (8/11)
Como se escribe el numero 32.7548 en fracicion decimal
Answer:
Así es como lo escribes ^_^
Step-by-step explanation:
32.755
y si no lo siento
Answer:
Treinta y dos con siete mil quinientas cuarenta y ocho diéz milésimas y mil.
Espéro que te sirva!
a) Simplify e(to the power of 5) x e(to the power of 4)
Answer:
e(to the power of 9)
Step-by-step explanation:
when you multiply variables with exponents, you have to add the exponents together.
Hi there!
Answer: [tex]\huge\boxed{\ e^9}[/tex]
Explaination:
1. e^5 multiplied by e^4 = e^(5 + 4) = e^9
Hope this helps!
Q2. 1 a) Dave wants to invest $2000 in an account that earns 2.5% interest compounded monthly. If he
leaves the money in the account for 5 years, how much money will he have at the end of those 5 years?
Question: Dave wants to invest $2000 in an account that earns 2.5% interest compounded monthly. If he leaves the money in the account for 5 years, how much money will he have at the end of those 5 years?
Answer:
Step-by-step explanation:
what is the value of k
Answer:
10
Step-by-step explanation:
4k + 5 + 6k + 10 = 115 {Exterior angle property}
4k + 6k + 5 +10 = 115
10k + 15 = 115
10k = 115 - 15
10k = 100
k = 100/10
k = 10
Find the derivative of (3+tan X )( 4+3 Cos X)
The derivative of [tex]f(x) = (3 + \tan x)\cdot (4 + 3\cdot \cos x)[/tex] is [tex]f'(x) = \frac{4+3\cdot \cos x-9\cdot \sin x \cdot \cos^{2}x+3\cdot \sin^{2}x\cdot \cos x}{\cos^{2}x}[/tex].
In this question we shall use the following derivative rules:
Derivative of a sum of functions
[tex]\frac{d}{dt}(f(t) + g(t)) = \frac{df(t)}{dt} + \frac{dg(t)}{dt}[/tex] (1)
Derivative of a product of functions
[tex]\frac{d}{dt}(f(t)\cdot g(t)) = \frac{df(t)}{dt}\cdot g(t) + f(t)\cdot \frac{dg(t)}{dt}[/tex] (2)
Derivative of a constant
[tex]\frac{d}{dt}(k) = 0[/tex], [tex]\forall k \in \mathbb{R}[/tex] (3)
Derivative of a function multiplied by a constant
[tex]\frac{d}{dt}(c\cdot f(t)) = c\cdot \frac{df(t)}{dt}[/tex], [tex]\forall\, c\in \mathbb{R}[/tex] (4)
Derivative of the cosine function
[tex]\frac{d}{dt} \cos t = -\sin t[/tex] (5)
Derivative of the tangent function
[tex]\frac{d}{dt}\tan t = \sec^{2} t[/tex] (6)
Chain rule
[tex]\frac{d}{dt}f[u(t)] = \frac{df(u)}{du}\cdot \frac{du(t)}{dt}[/tex] (7)
Let be [tex]f(x) = (3 + \tan x)\cdot (4 + 3\cdot \cos x)[/tex], then the derivative of [tex]f(x)[/tex] is:
[tex]f'(x) = \sec^{2}x\cdot (4 + 3\cdot \cos x) + (3+\tan x)\cdot (-3\cdot \sin x)[/tex]
[tex]f'(x) = 4\cdot \sec^{2}x+3\cdot \sec x -9\cdot \sin x -3\cdot \sin x\cdot \tan x[/tex]
[tex]f'(x) = \frac{4+3\cdot \cos x}{\cos^{2}x} -\frac{9\cdot \sin x \cdot \cos x+3\cdot \sin^{2}x}{\cos x}[/tex]
[tex]f'(x) = \frac{4+3\cdot \cos x-9\cdot \sin x \cdot \cos^{2}x+3\cdot \sin^{2}x\cdot \cos x}{\cos^{2}x}[/tex]
The derivative of [tex]f(x) = (3 + \tan x)\cdot (4 + 3\cdot \cos x)[/tex] is [tex]f'(x) = \frac{4+3\cdot \cos x-9\cdot \sin x \cdot \cos^{2}x+3\cdot \sin^{2}x\cdot \cos x}{\cos^{2}x}[/tex].
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there are 72 boys and 90 girls on a math team for the next competition mr. Johnson would like to arrange all the students in equal rows with only girls or only boys in each row. What is the greatest number of students that can be in each row
BEST ANSWER GETS BRAINLIEST, THANKS ON ANSWER, AND THANKS ON YOUR PROFILE!
Step-by-step explanation:
Figure ABCD is similar to figure A'B'C'D'. is the correct awnser.
Figure ABCD is similar to figure A'B'C'D'. is the correct awnser.this is became ABCD is reflected over the y-axis so it is simular too A'B'C'D.
A is incorrect because the size of the shape doesn't change when getting reflected.
B and D is incorrect because just by looking at the shape D is not equal to A' or B'
Hope this helps!!
work out the following,giving your answers in their simplest form:a)3/11 divide 3/11 b)9/10 divide 3/5
Answer:
Step-by-step explanation:
o
Abbi and her 9 friends want to split up 30 math questions evenly how many Math question each person will solve?
Solve for the missing angle. Round your answers to the nearest tenth. Figures are not drawn to scale.
Help me plzzzzzz!!!!
Answer:
50.8 degrees
Step-by-step explanation:
cos(x)=12/19
a number which only 2 factors is called a
Answer:
prime number
Step-by-step explanation:
If f and g are two functions defined by f(x)=3x+5 and g(x)=x^2+1 then g(f(x)) is
Step-by-step explanation:
g(fx)=g(3x+5)
= (3x+5)²+1
There are 12 red Skittles in a box. This represents 40% of the total Skittles in the box. How many total Skittles are in the box?
Answer:
30 Skittles
Step-by-step explanation:
12 = .4 x S
12/.4 = S
30
taste the rainbow