Answer:
last option: y = -2/7x + 4
Step-by-step explanation:
original equation, in slope-intercept form, is: y = -2/7x -8
Parallel lines have equal slopes
Answer:
yes
Step-by-step explanation:
You can always separate an equation into two parts and see where those graphs intersect.
Joel's method works well.
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<em>Additional comments</em>
Preston should know that the invention of logarithms makes it easy to solve equations like this. x = log₂(14) = log(14)/log(2) ≈ 3.8073549.
As for Joel's method, I prefer to subtract the right side to get the equation ...
2^x -14 = 0
Then graphing y = 2^x -14, I look for the x-intercept. Most graphing calculators make it easy to find x- and y-intercepts. Not all make it easy to find points of intersection between different curves.
The lower quartile is the 25th percentile.
Answer:
19 bears, 38 boxes of candy.
Step-by-step explanation:
We can use a system of equations (b = # of bears, c = # of candy boxes):
<em>b + c = 57, 8b + 6c = 380</em>.
We can use substitution by isolating b in the first eq.: <em>b = 57 - c</em>, then substitution b with 57 - c in the second eq.: <em>8(57 - c) + 6c = 380</em>.
Then, we solve: 456 - 8c + 6c = 380, 76 = 2c, c = 38 candy boxes.
Finally we plug in 38 for c in the first eq.: b + 38 = 57, b = 19 bears.