Answer:
x=10 x=-2
Step-by-step explanation:
(x − 3)(x − 5) = 35
FOIL
x^2 -5x-3x+15 = 35
Combine like terms
x^2 -8x+15 = 35
Subtract 35 from each side
x^2 -8x+15-35 = 35-35
x^2 -8x-20 =0
Factor
What 2 numbers multiply to -20 and add to -8
-10*2 = -20
-10 +2 = -8
(x-10)(x+2) =0
Using the zero product property
x-10 =0 x+2 = 0
x=10 x=-2
First, we need to find the total fraction of her raisins she used:
1/4 + 3/8 = 2/8 + 3/8
She used 5/8 of her supply.
Knowing this:
5/8x = 5
We multiply by 8 (the LCD)
5x = 40
x = 8
Her supply was 8 pounds, and after making the food, she now has 3 pounds
Answer:
Both answers are correct
Step-by-step explanation:
both y = 1 - 3/2x and y = 1 + -3/2x are correct answers, it is just that y= 1 - 3/2x is the simpler version. Adding a negative number is the same as subtracting a positive.
Answer: 30
Step-by-step explanation: 30 is the first multiple that both 5 and 6 share, and as such should be the denominator
