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ElenaW [278]
2 years ago
14

For a function f(x), the difference quotient is x + one-half h + 15. Which statement explains how to determine the average rate

of change of f(x) from x = 5 to x = 8? Substitute 5 for x and 3 for h in the expression x + one-half h + 15. Substitute 5 for x and 8 for h in the expression x + one-half h + 15. Substitute 8 for x and 5 for h in the expression x + one-half h + 15. Substitute 8 for x and 3 for h in the expression x + one-half h + 15.
Mathematics
1 answer:
Paraphin [41]2 years ago
8 0

The average rate of change of f(x) from x = 5 to x = 8 would be gotten by; B: Substituting 5 for x and 8 for h in the expression x + one-half h + 15

<h3>How to used difference quotient to find average rate of change?</h3>

The difference quotient is defined as a measure of the average rate of change of a function over an interval.

The limit of the difference quotient which is the derivative is the instantaneous rate of change.

This differential quotient in calculus is usually expressed as;

[f(x + h) - f(x)]/h

We are given the differential quotient as;

f(x) = x + ¹/₂h + 15

Thus, the average rate of change of f(x) from x = 5 to x = 8 would be gotten by;

Substituting 5 for x and 8 for h in the expression x + one-half h + 15

Read more about Difference quotient at; brainly.com/question/18232053

#SPJ1

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Eleanor and max used two rectangular wooden boards to make a set for the school play.one board was 6 feet long and the other boa
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By definition, the area of a rectangle is:

A = w * l

Where,

w: width of the rectangle

l: length of the rectangle

The total area is given by:

A = A1 + A2

Where,

A1: rectangular wooden board 1

A2: rectangular wooden board 2

Substituting we have:

60 \frac{3}{8} = (6) (w) + (5\frac{1}{2}) (w)

Rewriting we have:

\frac{483}{8} = (6) (w) + (\frac{11}{2}) (w)

483 = 48w + 44w\\483 = 92w

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Answer:

The width is given by:

w = 5 \frac{1}{4}

3 0
3 years ago
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WILL MARK BRAINIEST!!! Segment AC has two endpoints; (-2,5) and (2,-5). What are the coordinates of point B on segment AC such t
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Answer:

(\frac{4}{3},-\frac{10}{3})

Step-by-step explanation:

If the extreme ends of a line segment AC are A(x_1,y_1) and C(x_2,y_2).

If a point B(x, y) divides the segment in the ratio of m : n

Then the coordinates of the point B are,

x = \frac{mx_2+nx_1}{m+n}

y = \frac{my_2+ny_1}{m+n}

If the ends of AC are A(-2, 5) and C(2, -5) and a point B divides it in the ratio of m : n = 5 : 1

Therefore, coordinates of this point will be,

x = \frac{5\times (2)+1(-2)}{5+1}

  = \frac{10-2}{5+1}

  = \frac{8}{6}

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y = \frac{5\times (-5)+1(5)}{5+1}

  = \frac{-25+5}{6}

  = -\frac{20}{6}

  = -\frac{10}{3}

Therefore, coordinates of the point B are (\frac{4}{3},-\frac{10}{3}).

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Answer:

14.4 inches to the nearest tenth.

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The square has area x^2 where x is the length of each side so:

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