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rjkz [21]
3 years ago
13

Consider the function f ( x ) = 1 − 4 x 2 on the interval [ − 1 , 3 ] . Find the average or mean slope of the function on this i

nterval, i.e. f ( 3 ) − f ( − 1 ) 3 − ( − 1 ) =
Mathematics
1 answer:
Blababa [14]3 years ago
4 0

Answer:

The average slope is 8.

Step-by-step explanation:

Let <em>f</em> be defined on the closed interval [a, b]. The average slope of <em>f </em>between a and b is the quotient

                                       average slope = \frac{f(b)-f(a)}{b-a}

To find the average slope of the function f(x)=1-4x^2 on the interval [-1, 3] you have to evaluate your function in the interval and then divide by the interval.

So,

f(-1)=1-4(-1)^2=-3\\\\f(3)=1-4(3)^2=-35

The average slope is  \frac{f(3)-f(-1)}{3+1}= \frac{-3+35}{3+1}=\frac{32}{4}=8

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Valentin [98]
2 is the answer because 2=2 but 2 doesn’t =0.
6 0
3 years ago
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I need help with #2 (click the attached photo to view properly)<br>I will mark Branliest​
Shtirlitz [24]

Hi there! :)

\large\boxed{j(h(x))(2) = 31}

Solve for j(h(x)):

h(x) = x² + 4

j(x) = 4x - 1

Substitute in h(x) into "x":

j(h(x)) = 4(x² + 4) - 1

j(h(x)) = 4x² + 16 - 1

j(h(x)) = 4x² + 15

Solve at x = 2:

4(2)² + 15 = 4(4) + 15 = 31.

7 0
3 years ago
7/11 converted to a decimal rounded up 2 places
astraxan [27]

Answer:

0.636

Step-by-step explanation:

First off, we'll interpret the fraction bar to mean "divided by." This means that 7/11 is the same as 7 divided by 11.

Second, you have requested to see 2 decimal places in your answer, so we'll write the 7 as 7.00 instead (a 7 with 2 zeros after the decimal point).

Now, we'll just do what the fraction bar says: divide 7.00 by 11:

And that's about it! 7/11 written as a decimal to 3 decimal places is 0.636.

3 0
3 years ago
Read 2 more answers
1. Are the two expressions below<br> equivalent <br> 25x + 20y = 5x(5+4y)
alexandr402 [8]

Answer:

No.

Step-by-step explanation:

25x + 20y = 5x(5 + 4y)

Distribute the 5x inside the (5 + 4y).

5x * 5 = 25x

5x * 4y = 20xy

25x + 20y ≠ 25 + 20xy, so the two expressions below are not equal.

4 0
3 years ago
Find the equation of the line that passes through the points (-4,-2) and (-3,5) in both point-slope form and
kaheart [24]
<h2>Answer:</h2>

First, we must determine the slope, then we find the y-intercept using slope formula and slope-intercept form.

<u>For slope:</u>

<u />m = \frac{5 + 2}{-3 + 4} = \frac{7}{1} = 7<u />

Slope (m) = 7

<u>For y-intercept:</u>

<u />5 = 7(-3) + b\\\\5 = -21 + b\\\\26 = b<u />

Y-intercept (b) = 26

Using this information, we can now create the equations for this line.

y= 7x + 26\\\\y - 5 = 7(x + 3)

Formulas:

Slope formula: <em>y₂ - y₁/x₂ - x₁</em>

Slope-intercept form: <em>y = mx + b</em>

Point-slope form: <em>y - y₁ = m(x - x₁)</em>

<em></em>

*Note: (x₁, y₁), (x₂, y₂) = <em>2 points on the line</em>

6 0
2 years ago
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