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3 years ago

Finding Percent Increase and Percent Decrease using an Equation

Mathematics

1 answer:

zaharov [31]3 years ago

8 0

Answer:

Its B,D,E

Step-by-step explanation:

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Consider this system of equations. Which shows the second equation written in slope-intercept form? y = 3 x minus 2. 10 (x + thr

Arte-miy333 [17]

Question

Consider this system of equations. Which shows the second equation written in slope-intercept form?

$y = 3x - 2.$

$10(x + \frac{3}{5} ) = 2y$

A. $y = 5x + \frac{3}{10}$

B. $y = 5x + 3$

C. $y = \frac{1}{5} x + \frac{3}{25}$

D. $y = \frac{1}{2} x + 6$

Answer:

B. $y = 5x + 3$

Step-by-step explanation:

Given

Equation 1: $y = 3x - 2.$

Equation 2: $10(x + \frac{3}{5} ) = 2y$

Required:

Equivalent of equation 2

To get an equivalent of equation 2 (in slope intercept form), first we have to simplify equation 2

$10(x + \frac{3}{5} ) = 2y$

Open the bracket

$10*x + 10 *\frac{3}{5} = 2y$

$10x + \frac{30}{5} = 2y$

Simplify fraction

$10x + 6 = 2y$

Divide through by 2

$\frac{10x}{2} + \frac{6}{2} = \frac{2y}{2}$

$5x + 3 = y$

Re-arrange

$y = 5x + 3$

The next step is to compare each of option A through D with $y = 5x + 3$

$y = 5x + \frac{3}{10}$ is not equal to $y = 5x + 3$

We check the next available option

$y = 5x + 3$ is equal to $y = 5x + 3$

This option is equivalent to the second equation in slope-intercept form.

We check further if there are more equivalent options

$y = \frac{1}{5} x + \frac{3}{25}$

Convert fraction to decimal

$y = 0.2x + 0.12$

This is not equal to $y = 5x + 3$

$y = \frac{1}{2} x + 6$

Convert fraction to decimal

$y = 0.5x + 6$

This is not equal to $y = 5x + 3$

Hence, the only equation that is equivalent to the second equation written in slope intercept form is Option B

7 0

3 years ago

Read 2 more answers

Someone please help ?? Question 10

emmainna [20.7K]

the answer is A 160.68 dollars. there is pictures of my work shown as well. That is your answer by the way.

5 0

4 years ago

Can anyone tell me what a math puzzle is there are five question i have to do

Svetradugi [14.3K]

$A. \\
44 \div (4 \cdot 4)=44 \div 16=\frac{44}{16}=\frac{11}{4}=2 \frac{3}{4} \not= 36 \\ \\
B. \\
44-4-4=40-4=36 \\ \\
C. \\
(4 \cdot 4)+(4 \cdot 4)=16+16=32 \not= 36 \\ \\
D. \\
(4+4+4) \cdot 4=12 \cdot 4=48 \not= 36$

The answer is B.

7 0

3 years ago

There are 64 trucks and 80 cars in the parking lot what is the ratio of cars and trucks in simplest form

Travka [436]

Answer:

5:4

Step-by-step explanation:

The ratio would be

80:64 since there are 80 cars to 64 trucks.

You can simplify by dividing everything by 16.

5:4

3 0

3 years ago

I’ll give you 20 points if you help me

Nat2105 [25]

Answer:

f(g(x)) = 2x +(-5)

Step-by-step explanation:

Put the argument value into the function and simplify the result.

f(g(x)) = f(x -3) = 2(x- 3) +1 = 2x -6 +1

f(g(x)) = 2x +(-5)

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3 years ago