Answer (2 answers):
x = -2/5, x = -14/5
Step-by-step explanation:
First step is to try and get the absolute value by itself on one side and everything else that's not inside the absolute value on the other side.
9|5x+8|=54
|5x+8| = 54/9
|5x+8| = 6
Remember how absolute values turn everything positive? For example
|-4|=4, but |4|=4 as well. So we must do the same to our problem by splitting up the absolute equation into two parts.
|5x+8| = 6 and |-(5x+8)| = 6
now solve the first equation.
(Just remove the absolute value sign and solve it normally)
5x+8 = 6
5x = -2
x = -2/5
Now solve the other equation
-(5x+8) = 6
-5x - 8 = 6
-5x = 14
x = -14/5
Answer: B
Step-by-step explanation:
The equation
is not yet in slope-intercept form(
). Simply subtract 2 from both sides to turn the equation into slope intercept form as
. For a line to be perpendicular to another, it must have an opposite reciprocal slope. A reciprocal is the fraction reversed, where the numerator is the denominator and vice versa. Thus, 3/4 would become 4/3. The opposite reciprocal of 3/4 would be -4/3.
The slope of the line given is 3/4. Thus, simply plug in the opposite reciprocal of 3/4 for the slope to get:
. Then, because the line passes through -12, 1, plug those values in for x and y, respectively.



Thus, the equation of the line is
, or B.
Hope it helps :D
Answer:
8.90 seconds
Step-by-step explanation:
When the rocket hits the ground, its height ( <em>y</em> ) will be zero. This means we can write the equation as:
So we need to <u>solve that equation</u>:
- x =

x₁ = -0.84
x₂ = 8.90
We discard x₁, as it is negative.
So the answer is x₂, 8.90 seconds.
Solution:- Answer is 19.33%
Annual percentage rate (APR) is the yearly rate for a price which have to pay for borrowing money through credit card.
Here Caleb has an offer from a credit card issue for i=0% APR for the first 30 days.
now, effective interest rate for n= 30 days
=
After 30 days APR =17.68%=0.1768
n=365-30=335 days
now the effective interest rate for n=335 days
=
=19.33%
So the effective interest rate for 365 days =0+19.33% =19.33%
So fourth option is correct.
Answer:
the answer should be 8.9
you square 12 and square the 8 and subtract them by each other