The answer is (x + 6)(5x - 1).
5x² + 29x - 6 = 5x² + 30x - x - 6 =
= (5x · x + 5x · 6) - (x + 6) =
= 5x(x + 6) - 1(x + 6) =
= (x + 6)(5x - 1)
Answer:
-1.32-34.7= -36.02
Step-by-step explanation:
A negative minus a negative will always give you another negative.
So, to do this quickly just see this equation "-1.32-34.7" as this equation "1.32+34.7" and add a negative once you've finished.
1.32+34.7= 36.02
Now add the negative.
-36.02
In this item, we are given that the length of the rectangle is equal to 80% of its width and that its width is equal to 95 inches. The length can be calculated by multiplying the decimal equivalent of the given percentage and the width. That is,
l = 0.8w
If we are to substitute the given value,
l = 0.8(95 inches) = 76 inches
Hence, the answer is that the length is 76 inches.
Just use algebra to rearrange the terms so for s=1/2at^2 and solving for a we get 2s=at^2 so 2s/t^2=a
solving s=1/2at^2 for t gives 2s=at^2 which leads to 2s/a=t^2 so t=sqrt(2s/a)
filling in the numbers for 3 since a = 2s/t^2 we get a= (2(20.5m))/5s^2 =1.64m/s^2 the correct units in the answer indicate a possible correct answer since the units of acceleration are m/s^2.
4. using the value for a from question 3 and using 42.5 meters for s and solving for t we get sqrt((2s)/a) = sqrt((2*42.5m)/1.64m/s^2)= approximately 7.2s you can see the m's cancel and you are left s^2 as the units and the sqrt(s^2) = s so again the correct units indicate that 7.2s is probably correct. (These answers ARE correct though). checking the units gives a kinda quick assurance you are on the right path.
