It should be $4 for the adult ticket and $3 for the student ticket
G(9,-3) being dilated by a scale factor of 1/3 is G'(3,-1) so D. All I did was divide the coordinates by 3 and there you go.
The answer is 68 because 11 - 3 is 8 and 8 squares is 64 and 64 + 4 is 68.
Answer:
- C) (x − 3)2 = 25
- C) Factor out 4 from 4x2 + 40x.
Step-by-step explanation:
1. Adding the square of half the x-coefficient to both sides of the equation will "complete the square." That square is 9, so the result on the right is 16+9 = 25. Only selection C matches.
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2. To complete the square, you want to be able to put the quadratic into the form a(x -h)^2 = -k. For the purpose, it is most convenient to first factor "a" from the given quadratic. Then you can determine "-h" to be half the x-coefficient inside the parentheses.
Here, that looks like ...
4(x² +10x) = 80 . . . . . . . . . . step 1: factor out 4
4(x² +10x +25) = 180 . . . . . add 25 inside parentheses and the same number (4·25) on the right side of the equation
4(x +5)² = 180 . . . . . . . . . . . written as a square
Well, if each cookie contains 10g of fat, then...
4 cookies = 4*10 = 40g fat
7 cookies = 7*10 = 70g fat
I can only eat 4 to 7 cookies. So that means I had between 40 and 70 grams of fat.
Answer: a. Between 40 and 70 grams.
