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Nuetrik [128]
2 years ago
15

Find the average rate of change of the parabola below over the interval [1,3]

Mathematics
1 answer:
weeeeeb [17]2 years ago
5 0

Answer:

D

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

\frac{f(b)-f(a)}{b-a}

Here (a, b ] = [ 1, 3 ], thus

f(b) = f(3) = 5 ← from graph

f(a) = f(1) = - 3 ← from graph

average rate of change = \frac{5-(-3)}{3-1} = \frac{8}{2} = 4 → D

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Please help asap!! Due today!
Elena-2011 [213]

Answer:

25 cm

Step-by-step explanation:

a^2 + b^2 = c^2

7^2 + 24^2 = c^2

49 + 576 = c^2

c^2 = 625

c = 25

Answer: 25 cm

5 0
2 years ago
F(x)= (x+2)^2 -1<br> Find x intercept <br> Find y intercept<br> Find vertex
Trava [24]
The x intercept occurs when y = 0.

0=(x+2)^2 - 1
1=(x+2)^2

Take the square root of both sides. Note that the sqrt of 1 is 1. Then solve for x.

1=x+2
-1=x

The x intercept is -1.

The y intercept occurs when x=0.

y=(0+2)^2 - 1
y=2^2 -1
y=4-1
y=3

The y intercept is 3.

Now, to find the vertex...

This parabola is currently in a format called the vertex form, which is:

f(x) = (x-h)^2 + k

where (h, k) is the vertex.

Therefore, the vertex is (-2, -1).
6 0
3 years ago
What is the domain and range of -4.92x² + 17.96x + 575
klio [65]

The domain of the function is D ∈ R or (-∞, ∞) and the range of the function is R ∈ (591.39, ∞)

<h3>What is a function?</h3>

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a function:

f(x) = -4.92x² + 17.96x + 575

The above function is a quadratic function and we know,

The quadratic function domain is all real numbers.

The domain of the function is all real numbers or

D ∈ R or (-∞, ∞)

The range:

From the graph of a function:

The maximum value of the graph:

f(1.825) = 591.39

So the range of the function:

R ∈ (591.39, ∞)

Thus, the domain of the function is D ∈ R or (-∞, ∞) and the range of the function is R ∈ (591.39, ∞)

Learn more about the function here:

brainly.com/question/5245372

#SPJ1

6 0
1 year ago
what is the point-slope form of the equation of the line passing through the points (–6, –4) and (2, –5).
ioda

Answer:

The equation of the line would be y + 4 = -1/8(x + 6)

Step-by-step explanation:

To find the point-slope form of the line, start by finding the slope. You can do this using the slope formula below along with the two points.

m(slope) = (y2 - y1)/(x2 - x1)

m = (-4 - -5)/(-6 - 2)

m = 1/-8

m = -1/8

Now that we have the slope, we can use that along with one of the points in the base form of point-slope.

y - y1 = m(x - x1)

y + 4 = -1/8(x + 6)

7 0
3 years ago
The local hamburger restaurant is famous for how quickly they can assemble a burger. The restaurant advertises that its constant
melisa1 [442]

The gievn equation is ,

t=11.3h\ldots(1)

where t is the time in seconds and h is the no.of hamburgers assembled.

put h = 2 in equation (1).

\begin{gathered} t=11.3\text{ (2)} \\ t=22.6 \end{gathered}

blank A assembles 2 hamburges in 22.6 seconds.

put h = 3 in equation (1)

\begin{gathered} t=11.3(3) \\ t=33.9 \end{gathered}

blank B assembles 3 hamburgers in 33.9 seconds.

put h = 5 in equation (1)

\begin{gathered} t=11.3(5) \\ t=56.5 \end{gathered}

blank C assembles 5 hamburgers in 56.5 seconds.

put h = 8 in equation (1)

\begin{gathered} t=11.3(8) \\ t=90.4 \end{gathered}

blank D assembles 8 hamburgers in 90.4 seconds.

3 0
1 year ago
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