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2 years ago

The a value of a function in the form f(x) = ax2 + bx + c is negative. Which statement must be true?

Mathematics

2 answers:

timofeeve [1]2 years ago

6 0

The vertex is maximum

Mice21 [21]2 years ago

3 0

Answer:

A) the vertex is a maximum.

Step-by-step explanation:

The function f(x) = ax^2 + bx + c, where is "a" is negative.

a < 0, means the graph of the parabola opens down. when the parabola opens down we will have the vertex as a maximum point.

Therefore, answer is A) the vertex is a maximum.

Hope this will helpful.

Thank you.

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2 years ago

Aaron uses the equation y=500+0.2x to determine his weekly paycheck based on his sales volume, where y represents the amount of

lbvjy [14]

Answer:

1050 units

Explanations:

Given the equation y=500+0.2x to determine his weekly paycheck based on his sales volume, where:

y is the amount of his check

x is the number of units he sells each month.

In order to determine the amount of units he would need to sell for his paycheck to be $710, we willl substitute y = 710 into the equation and find the value of x as shown:

y=500+0.2x

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Jessie estimated the weight of his cat to be 12 pounds. The actual weight of the cat is 15 pounds.

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Given the following functions, find and simplify (f • g)(x) f(x)=—x+3 g(x)=-x-1

Hitman42 [59]

Answer:

$(f\circ g)(x)= x + 4$

Step-by-step explanation:

<u>Composite Function</u>

Given f(x) and g(x) as real functions, the composite function $(f\circ g)(x)$ is defined as:

$(f\circ g)(x)=f(g(x))$

It can be found by substituting g into f.

We are given the functions:

f(x) = -x + 3

g(x) = -x -1

Find

$(f\circ g)(x)=f(g(x))= - (-x -1) + 3$

Removing parentheses:

$(f\circ g)(x)= x + 1 + 3$

Simplifying:

$\mathbf{(f\circ g)(x)= x + 4}$

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2 years ago