Answer:
<h2>
x∈{-1, 8}</h2>
Step-by-step explanation:
![\log_2x +\log_2(x-7) = 3\\\\\log_2[x\cdot(x-7)]= 3\log_22\\\\\log_2(x^2-7x)= \log_22^3\\\\x^2-7x=2^3\\\\x^2-7x-8=0\quad\implies \quad a=1\,,\ \ b=-7\,,\ \ c=-8 \\\\x=\dfrac{-(-7)\pm\sqrt{(-7)^2-4\cdot1\cdot(-8)}}{2\cdot1}= \dfrac{7\pm\sqrt{49+32}}{2} =\dfrac{7\pm\sqrt{81}}{2}\\\\x=\dfrac{7+9}2=8\qquad\vee\qquad x=\dfrac{7-9}2=-1](https://tex.z-dn.net/?f=%5Clog_2x%20%2B%5Clog_2%28x-7%29%20%3D%203%5C%5C%5C%5C%5Clog_2%5Bx%5Ccdot%28x-7%29%5D%3D%203%5Clog_22%5C%5C%5C%5C%5Clog_2%28x%5E2-7x%29%3D%20%5Clog_22%5E3%5C%5C%5C%5Cx%5E2-7x%3D2%5E3%5C%5C%5C%5Cx%5E2-7x-8%3D0%5Cquad%5Cimplies%20%5Cquad%20a%3D1%5C%2C%2C%5C%20%5C%20b%3D-7%5C%2C%2C%5C%20%5C%20c%3D-8%20%5C%5C%5C%5Cx%3D%5Cdfrac%7B-%28-7%29%5Cpm%5Csqrt%7B%28-7%29%5E2-4%5Ccdot1%5Ccdot%28-8%29%7D%7D%7B2%5Ccdot1%7D%3D%20%5Cdfrac%7B7%5Cpm%5Csqrt%7B49%2B32%7D%7D%7B2%7D%20%3D%5Cdfrac%7B7%5Cpm%5Csqrt%7B81%7D%7D%7B2%7D%5C%5C%5C%5Cx%3D%5Cdfrac%7B7%2B9%7D2%3D8%5Cqquad%5Cvee%5Cqquad%20x%3D%5Cdfrac%7B7-9%7D2%3D-1)
Answer:
2
Step-by-step explanation:
Slope or gradient of a line is given by dividing change in y axis by the change in x axis. Slope is represented by m hence
where
is the change in y axis while
is the change in x co-ordinates. Substituting
with 6 units while 3 units substitute
then the slope will be 
Therefore, the gradient is 2
The slope of a graph is rise over run. So count how many units up you move and put that over how many units right you move. If you are moving down or to the left it would be negative.
-6/√(8x) ×√(8x)/√(8x) = -6√(8x)/8x
= -3√(8)x/4x
= -3√(8)√(x)/4x
= -6√(2)√(x)/4x
= -3√(2)√(x)/2x
= -3√(2x)/2x
Answer:
a spinner
Step-by-step explanation:
yes a spinner so like yeah