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.
Answer:
Pedro: 1481 Base hits
Ricky: 1198 Base hits
Step-by-step explanation:
First, take the total amount of base hits last season 2679, then subtract how many more Pedro has 283.
2679 - 283 = 2396 now divide the sum in half 2396 ÷ 2 = 1198 that gives you how many each player has, you're then going to add the amount that you took off to only Pedras total since he had 283 more
Pedro: 1198 + 283 = 1481
Ricky: 1198
Answer:
11 3/13% per annum
Step-by-step explanation:
to find rate= 100×simple interest ÷ (principal ×time)
simple interest=total amount - principal
=1,500,000-1,300,000
=200,000
=200,000 ×100÷ 1,300,000×4
=3 11/13% per annum
Step-by-step explanation:
In ten minutes she walked 1-0.5=0.5 miles.
60 minutes/10 minutes=6. So 0.5 miles ×6=3 miles per hour
6x = 3x + 12 so 3x = 12 then x = 4
