Answer:
5/4
Step-by-step explanation:
4y = 5x Divide by 4
y = (5/4) x
To make y = kx from y = (5/4) x
k must be (5/4)
k = 5/4
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:
8
Step-by-step explanation:
to find the answer, subtract the second amount (2) from the first amount (-6), -6 - 2 = -8, the temperat decreased by 8
Answer:
Step-by-step explanation:
what is she considering? I would need more information to complete the probolem
Answer:
If I read this right
3 (n -12) + 14 = 4 (7 - 5n)
First, remove the parentheses
3 n - 36 + 14 = 28 - 20 n
Combining terms
23 n = 28 - 14 + 36 = 50
n = 50 / 23 = 2 4/23 = 2.17
