Answer:

Step-by-step explanation:
To start, lets form our polynomial factors from our zeroes.
x = -2
x + 2 = 0
x = 5
x - 5 = 0
Now lets put these into factored form by moving them into parenthesis and multiplying them with each other!
(x+2)(x-5)
We can start moving them out! I am going to use FOIL, but you could also use distributive or any other method/property.
x · x = x²
x · -5 = -5x
x · 2 = 2x
2 · 5 = 10
Now lets put our terms into our polynomial function, based on the order of the powers.

We are done! Hope this helps!
Answer:
y = 2x - 3
Step-by-step explanation:
We are given the slope, m = 2
Our standard formula of a line is y = mx + b, so we can substitute for the x and y values of the point (3, 3). If you did not know, the x-value and the y-value are both 3 because the point (3, 3) = (x, y).
So, our equation looks like this:
3 = (2)(3) + b
We can solve for b:
3 = 6 + b
b = -3
And now we have our equation of a line:
y = 2x - 3
Answer:
3
Step-by-step explanation:
The factors of 12a are ...
2×2×3×a
The factors of 27 are ...
3×3×3
The only common factor is 3.
_____
12a -27 = 3(4a -9)
Answer:
19 weeks
Step-by-step explanation:
Given equation:
P = w
Where,
w = the number of weeks he has taken piano lessons
p = the total number of pieces he has learned
how many weeks of piano lessons will Lamar need before he will be able to play a total of 19 pieces?
Find w when p = 19
P = w
p = 19
Since P = w
19 = w
Therefore,
w = 19
Lamar need 19 weeks before he will be able to play a total of 19 pieces

<u>Given expression is </u>

can be rewritten as

We know,

And

So, using this identity, we


can be further rewritten as





<u>Hence, </u>
