4x²+4x-35=0
factor: (2x+7)(2x-5)=0
2x+7=0, or 2x-5=0
2x=-7 or 2x=5
x=-3.5 or x=2.5
I don't see any rounding necessary in this case.
when you factor ax²+bx+c, you take the two factors of a and the two factors of c, one factor of a times one factor of c, the other factor of a times the other factors, the sum of the two products make b.
in this case, the factors of 4 is 2 and 2, the factors of -35 is -5 and 7. I line them up in the following way:
2 -5
2 7
then I multiple them diagonally, the top left 2 multiplying the bottom right 7=14, and the other 2 multiplying -5=-10, 14 and -10 make a sum of 4.
if you don't get the desired sum, switch the factors up and down till you have the right combination. Note: Do not switch left and right.
I hope this makes sense to you.
Problem 37
<h3>Answer: B. 4 & 1/4 gallons</h3>
-------------------
Work Shown:
The 3/4 and 1/2 add up to (3/4)+(1/2) = (3/4)+(2/4) = 5/4 = 1&1/4
The whole part 1 is then added to the other whole parts 1 and 2 to get 1+2+1 = 4
Overall, the grand total is 4 & 1/4
An alternative way is to convert each mixed number to a decimal to get 1&1/2 = 1+1/2 = 1+0.5 = 1.5 and 2&3/4 = 2+3/4 = 2+0.75 = 2.75
Add up those decimals 1.5+2.75 = 4.25
then convert that result to a mixed number: 4.25 = 4+0.25 = 4+1/4 = 4&1/4
================================================
Problem 38
<h3>Answer: C. Cubic feet</h3>
----------------
The units for volume follow the template "Cubic _____" where you'll write "feet", "inches", "centimeters" or whatever unit you are using in the blank.
Some other examples:
* cubic miles
* cubic meters
* cubic yards
Answer:
972cm^3
Step-by-step explanation:
use the formula for a rectangular prism base x height x length but then divid by two because it is a triangular prism.
multiply 18 x 12 x 9 then divide by 2
Answer:
180-30=150
180-165=15
Step-by-step explanation:
Answer:
n=3
Step-by-step explanation:
Divide both sides by 3.5
n= 3.5
/10.5
Simplify 3.5
/10.5 to 3.
N=3
