The slope is 2, because you subtract the points 3,17 from 7,25 to get 8/4/ Simplify that into 2.
(g-f)(x) is x² - 3x - 6
<u>Step-by-step explanation:</u>
Step 1:
Given g(x) = x² - 1 - 2x, f(x) = x + 5. Find (g-f)(x)
(g-f)(x) = x² - 2x - 1 - (x + 5) = x² - 2x - 1 - x - 5 = x² - 3x - 6
<h3>
Answer: 155 inches</h3>
This is equivalent to approximately 12.917 feet.
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Work Shown:
(10 inches)/(2 days) = (x inches)/(31 days)
10/2 = x/31
10*31 = 2*x ... cross multiply
310 = 2x
2x = 310
x = 310/2
x = 155
Keep in mind that this water is being drained on a fairly continuous basis. This means that not all of the water is sticking around (we'd hope not anyway) at the same moment in time.
Note: 155 inches = 155/12 = 12.917 feet approximately.
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Alternative method:
If the town got 10 inches in 2 days, this means it rains at a unit rate of 10/2 = 5 inches per day.
Multiply that by 31 days and we get 5*31 = 155 inches of total rain.
The actual distance between park and movie theater is 68 miles, if the park and movie theater are 3.4 inches apart on a map and the map has a scale of 0.25 inch = 5 miles.
Step-by-step explanation:
The given is,
Park and movie theater are 3.4 inches apart
Map has a scale of 0.25 inch = 5 miles
Step:1
Formula to calculate the number of scales for distance between park and theater,


= 13.6
number of scales for distance between park and theater = 13.6
Step:2
Formula to convert distance inches to miles
× 
= 13.6 × 5
= 68
Actual distance between park and theater = 68 miles
Result:
The actual distance between park and movie theater is 68 miles, if the park and movie theater are 3.4 inches apart on a map and the map has a scale of 0.25 inch = 5 miles.
Answer:
<h2>140 minutes</h2>
Step-by-step explanation:
this problem focuses on the combined work rate
both can finish the work under 63 minute
let bobby mow the lawn in x minute
Billy will then mow the lawn in x-25 minutes
Let the completed job = 1 (a mowed lawn)
we can now apply the combined work formula for the two boys as
multiplying through by x(x-25 )we have

open bracket we have

rearranging and collecting like terms we have

we can now use the quadractic formula
a= 1
b= -151
c= 1575



the first answer x= 139.72 approximately 140 minutes mins is correct for Bobby's time
let us check

we can see that the solution approximates to 1