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Alexxandr [17]
2 years ago
7

Please help I don’t understand this.

Mathematics
1 answer:
tresset_1 [31]2 years ago
3 0

The average rate of change of <em>g(x)</em> over the interval [2, 8] is given by

(<em>g</em> (8) - <em>g</em> (2)) / (8 - 2)

In other words, it's the slope of the line through the points (2, <em>g</em> (2)) and (8, <em>g</em> (8)).

Use the definition of the function to evaluate it at the points in the numerator:

• 8 ≥ 4, so using the second piece, <em>g</em> (8) = -0.5(8) + 8 = 4

• 2 < 4, so <em>g</em> (2) = 5(2) + 1 = 11

Then the average rate of change is

(<em>g</em> (8) - <em>g</em> (2)) / (8 - 2) = (4 - 11) / 6 = -7/6

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How many ridges would there be on $10 worth of quarters?
tresset_1 [31]

Answer:

4760

Step-by-step explanation:

First you find out how many are in a dollar so you do

119*4 which is 476

Then because there is $10 you need to do

476 * 10 which would be 4760

4 0
2 years ago
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The graph of the function f(x) = (x + 2)(x + 6) is shown in the picture
tester [92]

Answer: The function is negative for all real values of x.where

x < -2.

Step-by-step explanation:

Because the values ​​-4 and -6 are less than -2 which is the basis of the statement highlighted as the right one.

6 0
2 years ago
A rectangular field on a farm is to be fenced in using the wall of the barn for one side and 200 meters of fencing for the other
vitfil [10]

Answer:

Rectangular area as a function of x :   A(x)  = 200*x  + 2*x²

A(max) = 5000 m²

Dimensions:

x = 50 m

l  = 100 m

Step-by-step explanation:

"x" is the length of the perpendicular side to the wall of the rectangular area to be fenced, and we call "l" the other side (parallel to the wall of the barn) then:

A(r) = x* l     and the perimeter of the rectangular shape is

P = 2*x + 2*l   but we won´t use any fencing material along the wll of the barn therefore

P  =  2*x + l       ⇒   200 = 2*x  + l      ⇒   l  = 200 - 2*x      (1)

And the rectangular area as a function of x is:

A(x)  = x * ( 200 - 2*x)  ⇒  A(x)  = 200*x  + 2*x²

Taking derivatives on both sides of the equation we get:

A´(x)  =  200 - 4*x     ⇒   A´= 0

Then    200 - 4*x  = 0     ⇒   4*x =  200   ⇒  x  = 50 m

We find the l value, plugging the value of x in equation (1)

l  = 200 - 2*x     ⇒ l = 200 - 2*50   ⇒  l = 100  m

A(max)  =  100*50

A(max)  = 5000 m²

3 0
3 years ago
What times what equals 234
inessss [21]
2 x 117
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5 0
3 years ago
Express as a unit rate. $18.50 for 5 lbs​
m_a_m_a [10]

Answer:

3.7 dollars per lb

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