Answer:
(2, -5)
Step-by-step explanation:
g(x) = 3x² − 12x + 7
Complete the square.
g(x) = 3 (x² − 4x) + 7
g(x) = 3 (x² − 4x + 4) + 7 − 3(4)
g(x) = 3 (x − 2)² + 7 − 12
g(x) = 3 (x − 2)² − 5
The vertex is at (2, -5).
Answer:
I don't know
Step-by-step explanation:
<span>4x+2y=10
x-y=13
x=13+y
4(13+y)+2y=10
52+4y+2y=10
52+6y=10
6y=-42
y=-7
x=13+y=13-7=6
</span>
<h2>Hello There today we will solve your problem</h2>
![\huge\red{\mid{\underline{\overline{\textbf{QUESTION}}}\mid}](https://tex.z-dn.net/?f=%5Chuge%5Cred%7B%5Cmid%7B%5Cunderline%7B%5Coverline%7B%5Ctextbf%7BQUESTION%7D%7D%7D%5Cmid%7D)
![16x-7\leq-71](https://tex.z-dn.net/?f=16x-7%5Cleq-71)
Find the solution set of the inequality.
<em>Response-</em>
<em></em>![{\blue{16x-7\le \:-71\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\le \:-4\:\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:-4]\end{bmatrix}}](https://tex.z-dn.net/?f=%7B%5Cblue%7B16x-7%5Cle%20%5C%3A-71%5Cquad%20%3A%5Cquad%20%5Cbegin%7Bbmatrix%7D%5Cmathrm%7BSolution%3A%7D%5C%3A%26%5C%3Ax%5Cle%20%5C%3A-4%5C%3A%5C%5C%20%5C%3A%5Cmathrm%7BInterval%5C%3ANotation%3A%7D%26%5C%3A%28-%5Cinfty%20%5C%3A%2C%5C%3A-4%5D%5Cend%7Bbmatrix%7D%7D)
Add 7 to both sides
![16x\leq -64\\divide\\x\leq -4](https://tex.z-dn.net/?f=16x%5Cleq%20-64%5C%5Cdivide%5C%5Cx%5Cleq%20-4)
Answer:
see explanation
Step-by-step explanation:
let y = f(x) and rearrange making x the subject, that is
y =
← multiply both sides by (x + 1)
y(x + 1) = 2x - 3 ← distribute left side
xy + y = 2x - 3 ( subtract y from both sides )
xy = 2x - 3 - y ( subtract 2x from both sides )
xy - 2x = - 3 - y ← factor out x from each term on the left side
x(y - 2) = - 3 - y ← divide both sides by y - 2
x =
factor out - 1 on numerator and denominator
x = ![\frac{-(3+y)}{-(2-y)}](https://tex.z-dn.net/?f=%5Cfrac%7B-%283%2By%29%7D%7B-%282-y%29%7D)
Change y back into terms of x, thus
(x) =
= ![\frac{x+3}{2-x}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%2B3%7D%7B2-x%7D)