2x^2+20x=-38 divide both sides by 2
x^2+10x=-19, halve the linear coefficient, square it, than add that value to both sides of the equation, in this case add (10/2)^2=25...
x^2+10x+25=6 now the left side is a perfect square
(x+5)^2=6 take the square root of both sides
x+5=±√6 subtract 5 from both sides
x=-5±√6 (so answer c.)
The property above is distribution property where we distribute x-term in the function.
Substitute both f(x) and g(x) in.
Évaluate/Combine like terms.
The function can be factored so there are two answers. (Both of them work as one of them is factored form while the other one is not.)
<u>Alternative</u>
<u>Answer</u>
- (f+g)(x) = 2x²-2x-2
- (f+g)(x) = 2(x²-x-1)
Both answers work. The second answer is in factored form.
Let me know if you have any doubts!
That's 5 lengths for a three sided shape... Are you sure that is the instructions?
Answer:
x - 11
Step-by-step explanation:
Let f(x) = -5x - 4 and g(x) = 6x - 7.
f(x) + g(x)
I like to line them up vertically
-5x - 4
6x - 7
--------------
x-11
Ok im not sure the answer yet so ima work on it at the same time while im explaining it. (The answer will probably be near the end)
We can use the elimination method to eliminate y out. To do that we multiply the first equation by 3.
6x+3y=-12
Now just subtract it from the other equation.
6x+3y=-12
5x+3y=-6
***x=-6***
Usually after doing the elimination method you will have to solve for x but in this case its already solved for you. If you want to find y now you just take the first equation and fill x with -6 and solve for y.
2(-6)+y=-4
-12+y=-4
y=8
Brainliest my answer if it helps you out?
