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kirill [66]
3 years ago
10

The rule for Function A is y= -2/3x

Mathematics
1 answer:
Rom4ik [11]3 years ago
6 0

Answer:

Both functions have negative rates of change

Function B has a greater rate of change than Function A

Step-by-step explanation:

we know that

<em>Function A</em>

The rule for Function A is

y=-\frac{2}{3}x

This is the equation of a proportional relationship (the line passes through the origin)

The slope is equal to m=-\frac{2}{3}

<em>Function B</em>

Find the equation of the function B

we have the points (-2,0) and (0,-2)

<em>Find the slope</em>

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

substitute the values

m=\frac{-2-0}{0+2}

m=\frac{-2}{2}

m=-1

The equation of the function B in slope intercept form is equal to

y=mx+b

we have

m=-1\\b=-2

substitute

y=-x-2

<u><em>Verify each statement</em></u>

Option 1) Both functions have negative rates of change

The statement is true

Because, the rate of change is the slope of the linear equation

Function A ----> m=-\frac{2}{3}

Function B ----> m=-1

Option 2) Both functions have the same rate of change.

The statement is false (see the explanation)

The rate of change are different ( m=-2/3 and m=-1)

Option 3) When graphed, Function A and Function B are parallel

The statement is false

When graphed, Function A and Function B are intersecting lines, because their slopes are different

Option 4) Function B has a greater rate of change than Function A

The statement is true

Remember that the rate of change can be either positive (increasing function) or negative (decreasing function). To find out which function has a greater rate of change, compare the absolute value of their slopes

therefore

1 > 2/3

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kotegsom [21]

Answer:

A

Step-by-step explanation:

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<em>Hope that helps!</em>

5 0
3 years ago
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stepladder [879]

Hello from MrBillDoesMath!

Answer:

8

Discussion:

Let the number be "n". Then the question states that

3n - 15 = (n/2) + 5             => multiply both sides by 2

6n - 30 = n + 10                => subtract n from both sides

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5n = 30 + 10 = 40            => divide both sides by 5

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Thank you,

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8 0
3 years ago
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WINSTONCH [101]

Answer:

Step 1, all the exponents are increased by 4

Step-by-step explanation:

The first incorrect step occurred in Step 1, where all the exponents were increased by 4.

This is mathematically incorrect due to exponential rules. When distributing exponents inside parentheses, we have to multiply the existing exponents inside the parentheses by the exponent outside the parentheses.

For example, (x²)³ is not x²⁺³, but rather, x⁽²⁾⁽³⁾.

We multiply the exponents instead of adding them together.

Therefore, the correct Step 1 should multiply all the variables' exponents by 4.

Steps 2 and 3 are correct since we do add the exponents when multiplying exponents with the same base, and we do subtract exponents with the same base when dividing.  

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3 years ago
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Svetlanka [38]

Answer:

I dont wanna be wrong But if it was me i would go with B...BUUUUUT C could also be right

Step-by-step explanation:

3 0
3 years ago
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