Answer: (x - 4) (3x + 2)
<u>Step-by-step explanation:</u>
Factor 3x² - 10x - 8
a) Multiply the first and last coefficients: 3(-8) = -24
b) Find two numbers whose product equals -24 and sum equals -10 (the middle coefficient).
-24
∧
1 -24
2 -12 This works!
c) Replace the the middle term of -10x with 2x - 12x
3x² + 2x - 12x - 8
d) Split the equation into two sections (left and right) and factor each side separately.
3x² + 2x - 12x - 8
x(3x + 2) -4(3x + 2)
e) Notice that the parenthesis are the same. The values on the outside combine to make one of the factors and the parenthesis are the other factor.
x(<u>3x + 2</u>) -4(<u>3x + 2</u>)
= (x - 4) (3x + 2)
The question is incomplete. Here is the complete question:
A machine covers 5/8 square foot in 1/4 hour. what is the unit rate?
Answer:
2.5 square feet per hour
Step-by-step explanation:
Given:
Area covered by a machine =
Time taken to cover the given area =
Now, unit rate of the first quantity with respect to second quantity is the magnitude of the first quantity being when the second quantity is one unit.
Here, the first quantity is the area covered and the second quantity is the time taken.
So, unit rate is the area covered by the machine in 1 hour.
In order to find that, we use the unitary method and divide the area by the total time taken. Therefore,
Thus, the unit rate is 2.5 square feet per hour.
Answer:
yes.
Step-by-step explanation:
it is correct