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4 years ago

The graph represents the function f(x) = x2 + 3x + 2.

Mathematics

1 answer:

Bezzdna [24]4 years ago

5 0

For this problem, you have to find the g(x) right?

The f(x) is already given, so all you have to do is multiply both sides by negative 1 (-1) to get the g(x) which is the opposite.

It'll look like this (g(x) = x^2 + 3x + 2)(-1)

Then the answer should be, g(x) = -x^2 - 3x - 2

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If m<4=105 what is m<5

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Answer:

131.25

Step-by-step explanation:

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Construct a function to model a linear relationship between two quantities. Determine the rate of change and initial value of the function from a description of a relationship or from two (x, y) values, including reading these from a table or from a graph. Interpret the rate of change and initial value of a linear function in terms of the situation it models, and in terms of its graph or a table of values.

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4 years ago

A 4-cup container of food is 2/3 groups of what size?

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3 years ago

The sum of 10 and hans savings is 49. Use the variable h to represent Hans savings.

andrey2020 [161]

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39 I believe. The question is a little confusing.

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3 years ago

Two linear functions of x are shown. Which Statement about the functions is true?

kolbaska11 [484]

Answer:

OPTION D: The rate of change of Function 2 is less than that of Function 1.

Step-by-step explanation:

From the table, we will determine the equation of function 2.

From the table, g(1) = 14 & g(-3) = - 86

Since, it is a linear function it should have been of the form, y = a + bx.

We will denote Function 2 as g(x).

So, g(1) = 14 = a + b . . . (1)

And g(-3) = -86 = -3a + b . . . (2)

From (1), a = 14 - b

Substituting this in (2), we get:

-86 = -3(14 - b) + b

⇒ - 86 = - 42 + 4b

⇒ - 44 = 4b

⇒ b = -11

So, a = 14 - (-11)

⇒ a = 25

So, equation of function 2 is: y = 25 - 11x.

Hence, Option A and B are eliminated.

In a linear equation of the form, y = ax + b, y - intercept = b.

So, in function 1, y - intercept = 19

And in function 2, y - intercept = -11

Clearly, OPTION C can be eliminated.

Now, rate of change of Function 1 = $\frac{dy}{dx} = 30$

and rate of change of Function 2 = $\frac{dy}{dx} = 25$

Therefore, we can say that the rate of change if function 2 is less than that of function 1.

Option D is our answer.

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3 years ago