Answer: ![[-3,7]](https://tex.z-dn.net/?f=%5B-3%2C7%5D)
Step-by-step explanation:
The range of a function is the set of y-values
Step-by-step explanation:
27^x / sqrt(9^y) = 3 and log2(x) - 2 = log2(y).
3^3x / 3^y = 3 and log2(x) - log2(4) = log2(y).
3x - y = 1 and x/4 = y.
Therefore x = 4/11 and y = 1/11.
Answer:
![6\frac{2}{3}\ h](https://tex.z-dn.net/?f=6%5Cfrac%7B2%7D%7B3%7D%5C%20h)
Step-by-step explanation:
step 1
we know that
Nicole can mow a large lawn in about 4 hours
That means----> In 4 hours Nicole mow the 100% of the lawn
so
using proportion
Find out what percentage Nicole mow in 2.5 hours
![\frac{4}{100}\ \frac{h}{\%}=\frac{2.5}{x}\ \frac{h}{\%}\\\\x=100(2.5)/4\\\\x= 62.5\%](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B100%7D%5C%20%5Cfrac%7Bh%7D%7B%5C%25%7D%3D%5Cfrac%7B2.5%7D%7Bx%7D%5C%20%5Cfrac%7Bh%7D%7B%5C%25%7D%5C%5C%5C%5Cx%3D100%282.5%29%2F4%5C%5C%5C%5Cx%3D%2062.5%5C%25)
step 2
we know that
When Nicole and Jessica work together, they can mow the same lawn in about 2.5 hours
Remember that in 2.5 hours Nicole mow 62.5%
That means -----> Jessica in 2.5 hours mow 100%-62.5%=37.5%
using proportion
Find out how many hours would it take Jessica to mow the lawn (100%) by herself
![\frac{2.5}{37.5}\ \frac{h}{\%}=\frac{x}{100}\ \frac{h}{\%}](https://tex.z-dn.net/?f=%5Cfrac%7B2.5%7D%7B37.5%7D%5C%20%5Cfrac%7Bh%7D%7B%5C%25%7D%3D%5Cfrac%7Bx%7D%7B100%7D%5C%20%5Cfrac%7Bh%7D%7B%5C%25%7D)
![x=2.5(100)/37.5\\\\x=6\frac{2}{3}\ h](https://tex.z-dn.net/?f=x%3D2.5%28100%29%2F37.5%5C%5C%5C%5Cx%3D6%5Cfrac%7B2%7D%7B3%7D%5C%20h)
Answer:
7/16 or (if you are looking for a word) likely
Step-by-step explanation:
Answer:
6x + 35
Step-by-step explanation:
distribute three and five through parenthesis
remove parenthesis
collect like terms
calculate
8x+3(x+5)-5(x-4)
8x+3x+15-5x+20
6x+35