Answer:
Step-by-step explanation:
It usually works best for factoring to remove any common factors from the coefficients. Here, they are all even numbers, so have a common factor of 2. After taking that out, you have ...
2(4x² -4x -3)
To factor this, you are looking for factors of (4)(-3) that have a sum of -4.
-12 = 1(-12) = 2(-6) = 3(-4)
These pairs have sums of -11, -4, -1. So, we are interested in the factors 2 and -6. We can use those to rewrite the middle term, then factor by pairing.
= 2(4x² +2x -6x -3) = 2((2x(2x+1) -3(2x+1)) = 2(2x -3)(2x +1)
Of these, the factors that are on your list of choices are ...
Answer:
Step-by-step explanation:
The angle adjacent to the 106 degree angle is 180 degrees - 106 degrees, or 74 degrees. Next, the adjacent angle to the 145 degree angle is 35 degrees; in other words, the two bottom angles of this triangle are 35 degrees and 35 degrees. That means that a 35 degree angle is vertical angle to x, and so x is also 35 degrees.
The sum of the three interior angles is 35 degrees + 74 degrees and
D.........................
9- 0.9 or .9 either of these would work
6/30- 6.30
<h3>
Answer:</h3>
4.25 mph
<h3>
Step-by-step explanation:</h3>
Speed, distance, and time are related by ...
... speed = distance/time
... distance = speed · time
___
If we let x represent the current speed in miles per hour, the number of miles the jet ski goes upstream is ...
... 0.25(60 -x)
The number of miles it drifts downstream is 2 more than that, or ...
... 0.25(60 -x) +2
The speed it drifts downstream is x, and that speed is equal to the distance divided by the time (3.75 hours):
... x = (0.25(60 -x) +2)/3.75
Multiplying by 3.75, we have ...
... 3.75x = 17 - 0.25x
... 4x = 17
... x = 17/4 = 4.25
The rate of the current is 4.25 miles per hour.