Step-by-step explanation:
the area is
length × width
(3x - 2) × width = 9x² - 4
to find width we could do a real polynomial division or simply recognize the fact that
(a + b)(a - b) = a² - b²
and we see that in our area calculation we are missing the (a + b) factor.
so, width = (3x + 2)
but if you want the division :
9x² - 4 : 3x - 2 = 3x + 2
- 9x² - 6x
-----------------
0 6x - 4
- 6x - 4
----------------------
0 0
again, width = (3x + 2)
I take it each student is going to make a block.
She has 25 + 28 students all together which is 53 students total
Each one requires 512 magnetic blocks
Therefore she needs 53 * 512 = 27136 blocks.
Answer:
The standard form as
Step-by-step explanation:
Given: A function which is written in vertex form or intercept form.
We have to re-write it in standard form that in terms of
Given ![y = 5(x+3)^2-4](https://tex.z-dn.net/?f=y%20%3D%205%28x%2B3%29%5E2-4)
Squaring using
, we get,
![y=5(x^2+9+6x)-4](https://tex.z-dn.net/?f=y%3D5%28x%5E2%2B9%2B6x%29-4)
Multiply 5 inside , we get,
![y=5x^2+45+30x-4](https://tex.z-dn.net/?f=y%3D5x%5E2%2B45%2B30x-4)
Solving further , we get,
Thus , we have obtained the standard form as
alright then, 12x + 17 = 66! we started with 17 and there is twelve months with x amount of inches grown plus the already 17 that equals the total 66
so it is 12x + 17 = 66