Answer:
(a) The net change of the function is 12.
(b) The average rate of change of the function 4.
Step-by-step explanation:
The average rate of change of function 
over the interval 
is given by this expression:
average rate of change = 
It is a measure of how much the function changed per unit, on average, over that interval.
Given:
(a) To find the net change of the function, first we calculate the values of 
and 
The net change is simply the difference
(b) The average rate of change takes the net change and divides it by the change in the 
value.
Answer:
x= 5
Step-by-step explanation:
You need to get rid of the fraction first and to do that you muliply the whole equation by 5 so that your new equation reads 4x+25=45. Then you subtract 25 from both sides so you have 4x=20. Divide both sides by 4 so x=5.
Answer:
w = V/lh
Step-by-step explanation:
The volume of a rectangular prism is calculated using the formula V = lwh, where V is the volume of the prism, l and w are the length and width of the base of the prism, respectively, and h is the height of the prism.
Rewrite the formula to find the width of the base of the prism if the volume, length of the base, and height of the prism are already known.
volume of a rectangular prism,V = lwh
Where,
l = length of the base of the prism
w = width of the base of the prism
h = height of the prism
Rewrite the formula to find w
V = lwh
w = V/lh
That is,
width of the base of the prism = volume of the prism divided by length of the base of the prism multiplied by height of the prism
Answer:
x = 38, y = 4
Step-by-step explanation:
Since AB = BC then the triangle is isosceles and the base angles are congruent, that is
∠ DAB = ∠ DCB = 52°
Subtract the sum of the base angle from 180° for ∠ ABC
∠ ABC = 180° - (52 + 52)° = 180° - 104° = 76°
Note that ∠ ABD = ∠ CBD, thus
x = 76 ÷ 2 = 38
BD bisects the side AC, thus DC = AD = 4
Thus y = 4
