Answer: -6x² + 15x + 5
Step-by-step explanation:
To solve this problem, you only need to substitute g(x)'s equation as the value of the x in f(x), then simplify.
Step 1: f(x) = -3(2x² - 5x - 1) + 2
Step 2: Apply the distributive property
-3(2x²) + -3(-5x) + -3(-1)
-6x² + 15x + 3
Step 3: Simplify
f(x) = -6x² + 15x + 3 + 2
f(x) = -6x² + 15x + 5
Answer:
25 pounds, hope its right
Step-by-step explanation
Without doing the math, you can can see that the 100ft marker is about 1/3rd of the bottom(combining the triangle and the rectangle) This floor is practically(if not exactly) the same length of each vertical side of the building.
"100 x 3" is 300, So I am pretty sure the answer is 308.
Good luck!
-RxL
Answer:
B. No. The product of two fractions is the product of the numerators divided by the product of the denominators.
Step-by-step explanation:
For A: A is clearly false because you can multiply any fraction and it doesnt matter what the denominator is.
For B: The first part is correct, which is that to multiply two fractions, they dont have to have like/common denominators, the explanation part is also correct. When we multiply we multiply the numerator to the numerator and the denominator to the denominator.
For C: C is false because the first part says yes and we know that you can multiply any 2 fractions regardless of denominators.
For D: For D the first part is correct however, the explanation section is false you dont multiply the numerator to the denominator.
For E: You don't have to find the equivalent fraction to multiply because you can do that afterward.
I hope this helps, have a blessed day! :D
Answer:
Austin will have to buy 180 squares of carpeting.
Step-by-step explanation:
First find the dimension of the room. We do that by multiplying the width times the length and then subtracting the cut out region in the top right. And, in order to know how big that region we cut out is, we have to do a little subtraction.
We know the room is 18' long on the left side and 12' long on the right side. We subtract 12 from 18 to get 6, and we know that the cut out region is 6' long. We do the same thing with the width, 25' wide at the bottom minus 10' wide at the top and we see that the cut out is 15' wide.
18 x 25 = 450
6 x 15 = 90
450 - 90 = 360. The area of the room is 360 
Each piece of carpet is 2' by 1'. So for every 2' long, the piece of carpet is 1' wide. Each carpet piece will cover 2 . Divide 360 by 2 and you get 180.
