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2 years ago

Given f(x) and g(x) = k•f(x), use the graph to determine the value of k

Mathematics

1 answer:

castortr0y [4]2 years ago

7 0

Step-by-step explanation:

f(x) has a slope of 1.

g(x) has a slope of -5

so k must be -5 to change f(x)'s slope from 1 to -5

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Answer:

4 5/12 or four and five twelfths or 4 and 5 over 12

Step-by-step explanation:

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3 years ago

Find the average rate of change over the interval [-1,2] (from x = -1 to x = 2) for the graph below

Lyrx [107]

Hello!

Find the coordinate where x = -1:

At x = -1, y = 1, so the coordinate is (-1, 1).

Find the coordinate where x = 2:

At x = 2, y = -2, so the coordinate is (2, -2).

Find the rate of change between the points using the slope formula:

$slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

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2 years ago

Martin uses 5/8 of a gallon of paint to cover 4/5 of a wall. What is the unit rate at which Martin paints in walls per gallon?

Tanya [424]

Remember, (a/b)/(c/d)=(a/b)(d/c)=(ad)/(bc)

so

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3 years ago

The square root of a negative number, such as StartRoot negative 144 EndRoot, is undefined. Explain why the square root of –x, S

IRINA_888 [86]

Answer:

see the explanation

Step-by-step explanation:

we have

$f(x)=\sqrt{-x}$

we know that

The radicand of the function cannot be a negative number

$-x\geq 0$

Solve for x

Multiply by -1 both sides

$x\leq 0$

The domain of the function f(x) is the interval -----> (-∞, 0]

The domain is all real numbers less than or equal to zero

The range of the function f(x) is the interval ----> [0,∞)

The range is all real numbers greater than or equal to zero

<em>Example</em>

For x=144

$144\leq 0$ ----> is not true

This value of x not satisfy the domain

substitute

$f(x)=\sqrt{-144}$ ----> this value is undefined

For x=-144

$-144\leq 0$ ----> is true

This value of x satisfy the domain

substitute

$f(x)=\sqrt{-(-144)}$

$f(x)=\sqrt{144}$ ----> this value is defined

therefore

The function will be undefined for all those values of x that do not belong to the interval of the domain of the function

6 0

2 years ago

Read 2 more answers