Answer: 4-6x^2
Step-by-step explanation:
f•g = f(g(x))
f(g(x)) = 4-2(3x^2) = 4-6x^2
Answer:
<h3>The number is 500</h3>
Step-by-step explanation:
Let the number be x
The quotient of a number divided by five is written as
![\frac{x}{5}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%7D%7B5%7D%20)
the number decreased by 400 is written as
x - 400
Equate the two expressions
We have
![\frac{x}{5} = x - 400](https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%7D%7B5%7D%20%20%3D%20x%20-%20400)
Multiply through by 5
That's
x = 5x - 2000
x - 5x = - 2000
- 4x = - 2000
Divide both sides by - 4
x = 500
Hope this helps you
Answer:
a = 5
Step-by-step explanation:
According to the factor theorem, if x + 2 is a factor, then by dividing the polynomial by the binomial, we are meant not to have a remainder
In this case, the remainder would be zero
So, if we set the binomial equals zero and substitute the x-value into the polynomial, we are supposed to have 0
So we have this as;
x + 2 = 0
x = -2
-2^3 -2(-2)^2 -2(a) + 6 = 0
-8-8-2a + 6 = 0
-16 + 2a + 6 = 0
2a -10 = 0
2a = 10
a = 10/2
a = 5
Answer:
f(3)=
Step-by-step explanation: