Answer:
x =-1
Step-by-step explanation:

replace y by 2x +4 in the first equation
2(2x + 4) = 6x + 10
4x + 8 = 6x + 10
-2x +8 = 10
-2x = 2
x = -1
Since
, by the remainder theorem this means that <em>x</em> - 6 divides <em>f(x)</em> exactly. This means there are constants <em>a</em>, <em>b</em>, and <em>c</em> such that

Multiplying both sides by <em>x</em> - 6 gives

Then <em>a</em>, <em>b</em>, <em>c</em> satisfy

and solving this system gives <em>a</em> = 2, <em>b</em> = -7, and <em>c</em> = 3.
So, we have

The quadratic term can be factored as

which leaves us with

so that the zeros of <em>f(x)</em> are 6, 1/2, and 3.
Answer:
y = -2x + 25
Step-by-step explanation:
A standard equation can be in slope-intercept form: y = mx + b
m is the slope, b is the y-intercept.
Plug in the given slope.
y = -2x + b
To find b, plug in the given point (9, 7).
7 = -2(9) + b
Multiply.
7 = -18 + b
Add 18 to both sides to find b.
25 = b
Plug this into your standard equation.
y = -2x + 25
Check by plugging in the given point again.
7 = -2(9) + 25
7 = -18 + 25
7 = 7
Your answer is correct!
Hope this helps!