Answer:
C. Greg weighs 180 pounds, and Justin weighs 165 pounds
Step-by-step explanation:
let G be the weight of Greg and J be the weight of Justin
G -15=J
G/2 +75=J
G =J+15 (1)
G+150=2J. (2)
If We substitute G by J+15 in equation (2) we will get:
G =J+15
J+15+150=2J
G =J+15
J+15+150=2J
G =J+15
J+165=2J
then J=165 and G=165+15=180
Answer:
x-3
Step-by-step explanation:
(x^2-9)(x^2-9)/x^2*(x+3)+9(x+3)
(x+3)*(x^2+9)/(x+3)*(x^2+9) cross multiply
(x^2+9)*(x+3)/(x^2+9) cross multiply
x+3 final anser
Answer:
x=6, x=-8
Step-by-step explanation: i used the symbolab calculator online to solve this.
Answer:
-3, 1, 4 are the x-intercepts
Step-by-step explanation:
The remainder theorem tells you that dividing a polynomial f(x) by (x-a) will result in a remainder that is the value of f(a). That remainder will be zero when (x-a) is a factor of f(x).
In terms of finding x-intercepts, this means we can reduce the degree of the polynomial by factoring out the factor (x-a) we found when we find a value of "a" that makes f(a) = 0.
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For the given polynomial, we notice that the sum of the coefficients is zero:
1 -2 -11 +12 = 0
This means that x=1 is a zero of the polynomial, and we have found the first x-intercept point we can plot on the given number line.
Using synthetic division to find the quotient (and remainder) from division by (x-1), we see that ...
f(x) = (x -1)(x² -x -12)
We know a couple of factors of 12 that differ by 1 are 3 and 4, so we suspect the quadratic factor above can be factored to give ...
f(x) = (x -1)(x -4)(x +3)
Synthetic division confirms that the remainder from division by (x -4) is zero, so x=4 is another x-intercept. The result of the synthetic division confirms that x=-3 is the remaining x-intercept.
The x-intercepts of f(x) are -3, 1, 4. These are the points you want to plot on your number line.