Which expression below gives the average rate of change of the function g(x) = -x2 - 4x on the interval 6 ≤ x ≤ 8 ?
2 answers:
Answer:
the first selection (see below)
Step-by-step explanation:
The average rate of change (m) on the interval [x1, x2] is given by ...
... m = (g(x2) -g(x1))/(x2 -x1)
For g(x) = -x²-4x and (x1, x2) = (6, 8), the expression is the one attached.
Answer:
Step-by-step explanation:
average rate of change of the function g(x) = -x^2 - 4x on the interval 6 ≤ x ≤ 8
To find average rate of change we use formula
Average =
use the given interval 6<=-x<=8
x2=8 and x1= 6
we replace the value in the given formula
g(x) = -x^2 - 4x
x2-x1 is 8-6
So equation becomes
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1) What left
*Obs: remember that left at least 42 dollars. In other words, the left over is equal or more than 42 dollars.
2) At the beginning
Letter C
*Obs: remember that left at least 42 dollars. In other words, the left over is equal or more than 42 dollars.
2) At the beginning
Letter C
A) Answer: A. 22.5 cm, 30 cm, and 37.5 cm
Setting the unity measurement as x, the three sides will be 3·x, 4·x, and 5·x. The sum of the three sides will be (3 + 4 + 5)·x = 12·x; this corresponds to the perimeter, therefore:
12·x = 90 cm
We can solve for x:
x = 90 / 12 = 7.5 cm
Hence, the sides will be:
7.5 · 3 = 22.5 cm
7.5 · 4 = 30 cm
7.5 · 5 = 37.5 cm
This situation is represented in option A (which is also the only option whose sides add up to 90).
B) Answer: C. never true
We have:
6 + 8x - 9 = 11x + 14 - 3x
Bring all the terms with x on the left, by subtracting from both sides 11x and -3x, and all the numbers on the right by subtrcting from both sides 6 and -9:
6 + 8x - 9 - 11x - (-3x) - 6 - (-9) = 11x + 14 - 3x - 11x - (-3x) - 6 - (-9)
Cancel out the opposite terms from each side:
8x - 11x + 3x = 14 - 6 + 9
Combine likely terms:
0x = 17
Now you should ask yourself: what number multiplied by zero gives 17 as a result? The answer is none because a number multiplied by zero always equals zero.
Hence, the statement is never true.
C) Answer:
We have:
5r + 4 ≤ 5
Subtract 4 from both sides:
5r + 4 - 4 ≤ 5 - 4
Combine likely terms:
5r ≤ 1
Divide both sides by 5:
To graph the set of solutions, you need to set:
y₁ = 5x + 4 and
y₂ = +5
Plot these two lines:
y₂ is a horizontal line at a height of 5;
y₁ is a line passing through (0, 4) and (1, 9)
The set of solutions will be the part of the graph in which y₁ lies underneath y₂ (see picture attached), that happens for .
