Answer:
Step-by-step explanation:
To simplify a fraction, you need to find the GCF (Greatest Common Factor) of the numerator (top number) and denominator (bottom number).
Factors of 14:
1, 2, 7, 14
Factors of 40:
1, 2, 4, 5, 8, 10, 20, 40
As you can see, 2 is the GCF of 14 and 40. So, we now divide both numbers by 2.
14 ÷ 2 = 7
40 ÷ 2 = 20
Therefore, 
in simplest form is
None. The triangle inequality states that the sum of the smaller two sides of a triangle must be greater than the third side. As 4+5=9, this inequality is false in this case, so these sides cannot create a triangle.
Answer:
92
Step-by-step explanation:
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.
1) you add the variables in the bracket
(4+5)÷3×4
9÷3×4
2) you multiply 3 by 4
9÷3×4
9÷12
3) now you divide 9 by 12
9÷12
=0.75
