Answer: (3x + 4y)(3x + 4y)
Step-by-step explanation: So you are supposed to "unfoil". So you would find two numbers multiplied together to make 9x^2 which would be 3x. Then you would find two numbers that can be multiplied together to get 16y^2 which would be 4y. To check your work, you do 3x times 3x. Then 4y times 4y. Then 4y times 3x plus 3x times 4y. You get 9x^2 + 24xy plus 16y^2.
Sonia saves a lot of water. To figure this out, you plug the number 8 into the equation, replacing it with the variable x. y = 3(8). Therefore, y=24. To find out how much water she saves, you have to also figure out how much water she was using for 8 minutes with the other shower head, the one that wastes the water. Since it dispenses 12 gallons per minute, you multiply that by 8 minutes and get 96. Subtract 24 from 96 and get 72. Which I think is your answer. Then again, I'm in high school so I most likely am wrong.
Answer:
i can't answer this but i can tell you this
The general form of an absolute value function is f(x)=a|x-h|+k. From this form, we can draw graphs.
y = a(x – h)2 + k, where (h, k) is the vertex. ... In the vertex form of the quadratic, the fact that (h, k) is the vertex makes sense if you think about it for a minute, and it's because the quantity "x – h" is squared, so its value is always zero or greater; being squared, it can never be negative.
Step-by-step explanation:
it is not the answer but i hope it helps:)
<span>First, the inequality needs to be solved. The first step is to subtract 8 from both sides of the inequality, leading to 5r < 55. Dividing 5 out from both sides, this will leave r < 11. Next, to form a set notation, the inequality is written in such form: {r | r < 11}.</span>
Answer:
80 is less than or equal to 22+7x
8 DVDs
Step-by-step explanation:
I don't have the inequality signs sorry if you don't know its the symbol thats opening to the left with a line underneath
80 is less than or equal to 22+7x
subtract 22
58 is less than or equal to 7x
divide and flip the sign to the right
x is greater than or equal to 8.29
so he can buy 8 DVDs in total