Hey! So, the answer is the letter B.
Answer:
1 2/3 inches.
Step-by-step explanation:
Volume = area of the base * height so:
20 = 3*4 * h
h = 20/12
h = 1 2/3 inches.
Answer:
4, I believe
Step-by-step explanation:
400 students
100 buses
400/100=4
Answer:
3(2x + 3y)
Step-by-step explanation:
Here, we want to divide
The inner term of the first part can be splitted by the use of the difference of two squares
That is;
given two perfect squares, separated by negative; we can write the factors as;
a^2-b^2 = (a-b)(a + b)
Thus;
4x^2 - 9y^2 = (2x-3y)(2x + 3y)
matching term for term;
6x/2x will give 3
while (2x-3y)(2x + 3y)/(2x-3y) = 2x + 3y
So we have the results of the division as;
3(2x + 3y)
(4). If we break down this piecewise function, we have 3 main expressions to deal with, 'h(x) = 5 if {x ≥ 4}' (represented by the green graph) 'h(x) = x if {0 ≤ x ≤ 4}' (represented by the blue graph) and 'h(x) = 1 / 2x + 2 if {x < 0}' (represented by the red graph).
Take a look at the attachment below for your graph of these 3 functions / expressions.
(5). For this part we want to determine the average rate of change of the function f(x) = 4x² - 5x - 8 over the interval [- 2,3]. Remember that to calculate average rate of change between the 2 points we use the following formula...
f(b) - f(a) / b - a,
f(3) = 4(3)² - 5(3) - 8 = 4(9) - 15 - 8 = 36 - 15 - 8 = 13,
f(- 2) = 4(- 2)² - 5(- 2) - 8 = 4(4) + 10 - 8 = 16 + 10 - 8 = 18
13 - 18 / 3 - (- 2) = - 5 / 5 = - 1
Therefore the average rate of change of the function f(x) = 4x² - 5x - 8 over the interval [- 2,3] will be - 1.