I just took this question on a test and the answer was c
Step-by-step explanation:
2x +90 =180
2x =180-90
2x = 90
x = 90/2
is the answer so you can solve further OK
Answer:
The conclusion is wrong
Step-by-step explanation:
The following steps are given
Required
The error
Going through the steps, we can see that there are no mistakes in any of the step.
However, the conclusion that there are infinitely many solutions is wrong
because the solution actually has no solutions.
(2, 36) → x = 2, y = 36
Substitute the value of x and y to the equations of the functions:
A. y = 2x^2
36 = 2(2)^2 → 36 = 8 FALSE
B. y = (3x)^2
36 = (3 · 2)^2 → 36 = 6^2 → 36 = 36 CORRECT
C. y = 7x^2 + 2
36 = 7(2)^2 + 2 → 36 = 7 · 4 + 2 → 36 = 30 FALSE
D. y = (x + 4)^2
36 = (2 + 4)^2 → 36 = 6^2 → 36 = 36 CORRECT
Answer: B. y = (3x)^2 and D. (x + 4)^2
Answer:
7.5 hours
Step-by-step explanation:
<u>1 method:</u>
Amber drove at an average speed of 55 mph.
Austin averaged 75 mph per hour.
The difference in speed is 20 mph, this means that each hour Austin drove 20 miles more.
Amber drove 110 miles in 2 hours, then Austin needs 110:2=5.5 hours to catch Amber, so in total after 5.5+2=7.5 hours Austin will catch up Amber.
<u>2 method:</u>
Let t hours be the time Amber was driving, then t-2 hours ia Austin's time.
Amber distance = 55t miles
Austin's distance = 75(t-2) miles
When Austin caught up with Amber, their distances are the same: