Answer:
170.
Step-by-step explanation:
We have that A = W*L where A= Area, W= width, L=length and that W = 13+L. So,
A = (13+L)*L
1764 = 13L + L^2
L^2 + 13L - 1764 = 0.
We use the general formula in the image where a=1, b=13 and c= -1764.
, this result will be negative and the problem is about length so it doesn't apply for this problem. We use L1= 36.
Then, L=36, W = 13 + 36 = 49. Therefore, the perimeter is 2L+2W = 72+98=170.
g(x) = 4(x2 – 6x + 9) + 1
g(x) = –3(x2 – 8x + 16) – 6
g(x) = 8(x2 – 6x + 9) – 5
Answer:
g(x) = 8(x2 – 6x + 9) – 5
Step-by-step explanation:
A function with a form (x - a)^2 - b where a and b are some constants are a transformation to the right and down from the parent function, f(x) = x^2. Then, option:
g(x) = 4(x2 – 6x + 9) + 1 = 4(x - 3)^2 + 1
is discarded
The vertex form of a quadratic equation is f(x) = c*(x - h)^2 + k, where c, h and k are all constant, and point (h,k) is the vertex of the quadratic function. If c > 0, then the vertex is a minimum and if c < 0 then the vertex is a maximum. Therefore, options:
g(x) = –9(x2 + 2x + 1) – 7 = -9(x + 1)^2 - 7
g(x) = –3(x2 – 8x + 16) – 6 = -3(x - 4)^2 - 6
are dicarded
In consequence, the correct option is:
g(x) = 8(x2 – 6x + 9) – 5 = 8(x - 3)^2 - 5
Answer:
The last choice is the one you want
Step-by-step explanation:
First of all, a parabola has a minimum value if it is a positive parabola, one that opens upward. The first and the third parabolas are negative so they open upside down. That leaves us with choices 2 and 4. We find the side to side and up or down movement by finishing the completion of the square that has already been started for us. Do this by factoring what's inside the parenthesis into a perfect square binomial.
The second one factored becomes:
which reflects a shift to the right 3 and up 1. Not what we are asked to find.
The fourth one factored becomes:
which reflects a shift to the right 3 and down 5. That's what we want!
What operation do you think you would use to solve this problem?why?
tax of $.18 (or 18 cents) per gallon, plus a state gas tax of 8 cents ($.08) per gallon. Her taxes paid for a gallon of gas equal 26 cents.
You can calculate the percentage of a purchase that goes to taxes by dividing the tax amount by the total sale price. If Kristin buys gas at $3.69 per gallon, which includes all taxes, what percentage of the price is the state tax? What percentage is the federal tax?