Answer:
They will have 53 CDs when they have the same amount. You have to add the amounts 5 times
Step-by-step explanation:
8+9=17+9=26+9=35+9=44+9=53
18+7=25+7=32+7=39+7=46+7=53
Hope this helps
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A set of numbers is said to be Pythagorean triple if the sum of the squares of the lesser numbers equal the square of the remaining number,
A. 28² + 45² = 2809 ; 53² = 2809 ; EQUAL
B. 16² + 63² = 4225 ; 65²= 4225 ; EQUAL
C. 13² + 84² = 7225 ; 85² = 7225 ; EQUAL
D. 11² + 61² = 3842 ; 62² = 3844 ; NOT EQUAL
The answer is letter D.
Answer: Choice C
h(x) = -x^4 + 2x^3 + 3x^2 + 4x + 5
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Explanation:
When reflecting the function f(x) over the y axis, we replace every x with -x and simplify like so
f(x) = -x^4 - 2x^3 + 3x^2 - 4x + 5
f(-x) = -(-x)^4 - 2(-x)^3 + 3(-x)^2 - 4(-x) + 5
f(-x) = -x^4 + 2x^3 + 3x^2 + 4x + 5
h(x) = -x^4 + 2x^3 + 3x^2 + 4x + 5
Note the sign changes that occur for the terms that have odd exponents (the terms -2x^3 and -4x become +2x^3 and +4x); while the even exponent terms keep the same sign.
The reason why we replace every x with -x is because of the examples mentioned below
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Examples:
The point (1,2) moves to (-1,2) after a y axis reflection
Similarly, (-5,7) moves to (5,7) after a y axis reflection.
As you can see, the y coordinate stays the same but the x coordinate flips in sign from negative to positive or vice versa. This is the direct reason for the replacement of every x with -x.
