Answer:
1)
32x^2 - 28x - 15
2)
30x^2 + 54x - 12
Step-by-step explanation:
1.
(8x+3)(4x-5)
Using FOIL
= (8x)(4x) + (8x)(-5) + (3)(4x) + (3)(-5)
= 32x^2 - 40x + 12x - 15
= 32x^2 - 28x - 15
2.
(10x-2)(3x+6)
Using FOIL
= (10x)(3x) + (10x)(6) + (-2)(3x) + (-2)(6)
= 30x^2 + 60x - 6x - 12
= 30x^2 + 54x - 12
So first you need to find a formula for who has what!
Because nobody said what chase had, chase is our variable!
Chase = x
Sophie = x-6 (six less than Chase so subtraction)
Jonah = x•3 (three times the amount of Chase)
Now you will put all of this in an equation- adding everybody together! The total is 89 so that will be what’s after the equal sign!
Your equation: x+x-6+x•3=89
First you will use PEMDAS, since there are no parentheses or exponents- you’ll do multiplication first!
x+x-6+(x•3)=89
When you multiply that out, you will be left with: x+x-6+3x=89
Second you will add all common terms! Remember- the 3x means there are THREE x’s in that one spot. Take out all x’s in the equation and add them together!
x+x+3x=5x
Now you are left with:
5x-6=89
Now you will solve this like a regular equation! First, you have to move the -6 to the right so you will do the inverse operation (the opposite sign) and add 6 to both sides! 89+6 is 95 and -6+6 is 0, so the 6 on the left cancels out and isn’t there anymore!
Now you have 5x=95. To get the x by itself, you will divide both sides by 5! (Once again, doing the inverse operation! Since 5 and x are being multiplied, you have to divide.)
When you divide, you are left with x=19. In this question, the answer is:
Each person has $19.
Use the foil method
FIRST
OUTER
INNER
LAST
9x by 5x
9x by -7
-12 by 5x
-7 by -12
Then add and subtract like terms to get the answer.
Answer:
The max # of shirts they can order is <u>29</u>
Step-by-step explanation:
300 = 83.95 + 7.45x
216.05 = 7.45x
x = 29
