Answer:
B
Step-by-step explanation:
Plug the 3 in for x because x=3 so it’ll be 6(3)+7 and that equals 25
Answer:
(6, 80)
Step-by-step explanation:
First, should mark your y intercepts, which are +20 and +50 on your y axis.
Next, you must know how to use rise over run.
10 = 10/1 and 5 = 5/1
If you have a graph, you can use it for this step:
Next, you rise up 10 then go right 1 because it is positive, and do the same thing over and over again for your first equation. For your next equation, you go up 5 and right 1 since it is also positive.
Notice that 6 is a factor of all three coefficients and thus can be factored out:
6x^2 -42x-54 => 6(x^2 - 7x - 9). x^2 - 7x - 9 does not factor so easily. Remembering that obtaining roots of a quadratic makes it easy to write out the corresponding factors, let's apply the quadratic formula to x^2 - 7x - 9:
a=1, b = -7, c = -9. Then the discriminant is b^2 - 4ac, or (-7)^2 - 4(1)(-9), or 85.
Thus, the roots are:
7 plus or minus √85 7 plus or minus 9.220
x = -------------------------------- = ------------------------------------
2 2
Let's call these roots "a" and "b." Then the factors of the quadratic x^2 - 7x - 9 are (x-a) and (x-b), or, in this case, (x-8.11) and (x+1.11).
The original quadratic has three factors: 6, (x-8.11) and (x+1.11).
