Answer:
x = 0
Step-by-step explanation:
To solve this equation you would need to get x by itself on one side
1/2 (x+4)^2 - 5 = 3
1.) add 5 to both sides
1/2 (x+4)^2 = 8
2.) divide each side by 1/2
(x+4)^2 = 16
3.) find the square root of both sides
(x+4) = 4
4.) subtract 4 from both sides
x = 0
The app "Photomath" is a great way to solve problems like these and it gives a step by step explanation that might be easier to understand than mine :)
Answer:
Humans have technology
Step-by-step explanation:
(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.
Answer:
Step-by-step explanation:
The area enclosed by y=1 and ±2x+y=2 is (in square unit).
Answer:
Step-by-step explanation:
5x(2+7)
10x+35x
45x
There are no choices. But above is the answer if I need to solve it.