Answer:
the y intercept is 2
Step-by-step explanation:
we can see this because the line crossed the 2 on the y axis line
His mistake was adding 12+2 when he was supposed to subtract.
Answer:
B. They will all be similar
Step-by-step explanation:
You can make as many different size triangles as you like. The angles alone do not constrain the size, only the shape. The triangles you make will all be similar.
Answer:
![\frac{x - 10}{8}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%20-%2010%7D%7B8%7D%20)
Step-by-step explanation:
![\frac{3x}{8} - \frac{x + 5}{4}](https://tex.z-dn.net/?f=%20%5Cfrac%7B3x%7D%7B8%7D%20-%20%5Cfrac%7Bx%20%2B%205%7D%7B4%7D%20)
The common denominator of both fractions is 8. Therefore,, divide the denominator of each fraction, then multiply what you get by the numerator of each fraction.
Thus:
![\frac{1(3x) - 2(x + 5)}{8}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%283x%29%20-%202%28x%20%2B%205%29%7D%7B8%7D%20)
![\frac{3x - 2x - 10}{8}](https://tex.z-dn.net/?f=%20%5Cfrac%7B3x%20-%202x%20-%2010%7D%7B8%7D%20)
![\frac{x - 10}{8}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%20-%2010%7D%7B8%7D%20)
Answer:
- domain: all terms are defined for <em>all real numbers</em>
- solution: x = 6
Step-by-step explanation:
Rewrite the equation as a single exponential. After taking the log, the solution becomes obvious.
![5^{x-2}-7^{x-3}=7^{x-5}+11\cdot 5^{x-4}\\\\5^{x-2}-11\cdot 5^{x-4}=7^{x-3}+7^{x-5}\\\\5^{x-2}(1-11\cdot 5^{-2})=7^{x-3}(1+7^{-2})\\\\5^{x-2}\dfrac{14}{25}=7^{x-3}\dfrac{50}{49}\\\\1=\dfrac{2\cdot 7^{x-3}5^4}{2\cdot 5^{x-2}7^3}=\left(\dfrac{7}{5}\right)^{x-6}\\\\0=(x-6)\log(1.4)\\\\x=6](https://tex.z-dn.net/?f=5%5E%7Bx-2%7D-7%5E%7Bx-3%7D%3D7%5E%7Bx-5%7D%2B11%5Ccdot%205%5E%7Bx-4%7D%5C%5C%5C%5C5%5E%7Bx-2%7D-11%5Ccdot%205%5E%7Bx-4%7D%3D7%5E%7Bx-3%7D%2B7%5E%7Bx-5%7D%5C%5C%5C%5C5%5E%7Bx-2%7D%281-11%5Ccdot%205%5E%7B-2%7D%29%3D7%5E%7Bx-3%7D%281%2B7%5E%7B-2%7D%29%5C%5C%5C%5C5%5E%7Bx-2%7D%5Cdfrac%7B14%7D%7B25%7D%3D7%5E%7Bx-3%7D%5Cdfrac%7B50%7D%7B49%7D%5C%5C%5C%5C1%3D%5Cdfrac%7B2%5Ccdot%207%5E%7Bx-3%7D5%5E4%7D%7B2%5Ccdot%205%5E%7Bx-2%7D7%5E3%7D%3D%5Cleft%28%5Cdfrac%7B7%7D%7B5%7D%5Cright%29%5E%7Bx-6%7D%5C%5C%5C%5C0%3D%28x-6%29%5Clog%281.4%29%5C%5C%5C%5Cx%3D6)