( 3 1 ) 2 +3 2 =left parenthesis, start fraction, 1, divided by, 3, end fraction, right parenthesis, squared, plus, 3, squared
Fynjy0 [20]
Answer:
I guess that we have the equation:
(1/3)^2 + 3^2 =
And we want to solve it.
Here just remember that:
3^2 = 3*3 = 9
then:
(1/3)^2 = (1/3)*(1/3) = 1/9
replacing these in the expression, we get:
(1/3)^2 + 3^2 = 1/9 + 9
If we want to write this as a single fraction, we can rewrite:
1/9 + 9 = 1/9 + (9/9)*9
= 1/9 + 81/9 = (1 + 81)/9 = 82/9
Answer:
Step-by-step explanation:
let the number of dimes=x
and number of quarters=y
x=2y
0.10 x+0.25 y=2.25
or 10x+25y=225
divide by 5
2x+5y=45
2 ×2y+5y=45
4y+5y=45
9y=45
y=45/9=5
x=2y=2×5=10
Hence dimes=10
quarters=5
Hello there!

Explanation:
↓↓↓↓↓↓↓↓↓↓↓↓
First you had to subtract by 7 from both sides of the equation.

Simplify

Then you add by x from both sides of the equation.

Simplify

Divide by 4 from both sides of the equation.

Simplify it should be the correct answer.

Answer⇒⇒⇒x=-2
Hope this helps!
Thank you for posting your question at here on Brainly.
Have a great day!
-Charlie

now, that's the equation or polynomial in factored form, hmmm we also know that it has a y-intercept of -11, namely, when x = 0 y = -11, well let's plug in a factor to it, that will reflect those values, namely say hmmm factor "a", so
![(x+4)(x+2)(x-1)=y\qquad \stackrel{\textit{adding "a" factor for vertical shift}}{a(x+4)(x+2)(x-1)}=y \\\\\\ \stackrel{\textit{we know that when x = 0, y = -11}}{a(0+4)(0+2)(0-1)=-11}\implies -8a=-11\implies a=\cfrac{-11}{-8}\implies a = \cfrac{11}{8} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\mathbb{FOIL}}{\cfrac{11}{8}(x^2+6x+8)}(x-1)=y\implies \cfrac{11}{8}(x^3+6x^2+8x-x^2-6x-8)=y \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \cfrac{11}{8}(x^3+5x^2+2x-8)=y~\hfill](https://tex.z-dn.net/?f=%28x%2B4%29%28x%2B2%29%28x-1%29%3Dy%5Cqquad%20%5Cstackrel%7B%5Ctextit%7Badding%20%22a%22%20factor%20for%20vertical%20shift%7D%7D%7Ba%28x%2B4%29%28x%2B2%29%28x-1%29%7D%3Dy%20%5C%5C%5C%5C%5C%5C%20%5Cstackrel%7B%5Ctextit%7Bwe%20know%20that%20when%20x%20%3D%200%2C%20y%20%3D%20-11%7D%7D%7Ba%280%2B4%29%280%2B2%29%280-1%29%3D-11%7D%5Cimplies%20-8a%3D-11%5Cimplies%20a%3D%5Ccfrac%7B-11%7D%7B-8%7D%5Cimplies%20a%20%3D%20%5Ccfrac%7B11%7D%7B8%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20%5Cstackrel%7B%5Cmathbb%7BFOIL%7D%7D%7B%5Ccfrac%7B11%7D%7B8%7D%28x%5E2%2B6x%2B8%29%7D%28x-1%29%3Dy%5Cimplies%20%5Ccfrac%7B11%7D%7B8%7D%28x%5E3%2B6x%5E2%2B8x-x%5E2-6x-8%29%3Dy%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20~%5Chfill%20%5Ccfrac%7B11%7D%7B8%7D%28x%5E3%2B5x%5E2%2B2x-8%29%3Dy~%5Chfill)
Just say partial products that relate to one another