Step-by-step explanation:
So you use the distributive property
3*x and 3*-1
You get 3x and -3
so therefore 3x-3
Answer:
3:7
Step-by-step explanation:
A basket has:
6 peaches
8 plums
The total amount of fruits is
6+8= 14
The ratio of peaches to total pieces of fruit is:
6:14
3:7
Its just a matter of combining like terms...
3t + ?h - 5t + ? t + 4h
lets separate our t and h terms...
3t - 5t + ?t......and the answer has to be 1t or just t......lets simplify
-2t + ?t = 1t....so -2 + ? = 1....-2 + 3 = 1...so 3 is our missing t.
lets check....3t - 5t + 3t = 6t - 5t = 1t or just t (correct)
?h + 4h.....and it has to equal 6h
so 4 + what = 6 ? 4 + 2 = 6...so our missing h is 2.
lets check....2h + 4h = 6h (correct)
so ur expression is :
3t + 2h - 5t + 3t + 4h...and when combining like terms, u end up with :
t + 6h
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)
