Answer:
The simplest form is 1/r^7 + 1/s^12
Step-by-step explanation:
The given expression is r^-7+s^-12.
Notice that the exponents of both the base are negative
So, we will apply the rule which is:
a^-b = 1/a^b
Which means that to change the exponent into positive we will write it as a fraction:
r^-7+s^-12.
= 1/r^7 + 1/s^12..
Therefore the simplest form is 1/r^7 + 1/s^12....
Answer: y = 3x-8
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Explanation:
The slope is 3, so m = 3
The given point is (3,1) meaning x = 3 and y = 1. The x coordinate is always listed first in an ordered pair. The general format is (x,y)
We'll use m = 3, x = 3 and y = 1 to find the y intercept
y = mx+b
y = m*x+b
1 = 3*3+b ... plug in m = 3, x = 3 and y = 1
1 = 9+b
1-9 = 9+b-9 ... subtract 9 from both sides
-8 = b
b = -8
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So we're given m = 3 as the slope and we just found that b = -8 is the y intercept
So y = mx+b updates to y = 3x-8. This is the final answer.
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Side Notes:
* The slope of 3 means rise/run = 3/1 indicating each time we go up 3, we move to the right 1
* The y intercept -8 is the location on the vertical y axis numberline where the graph crosses. The point (0,-8) is on this line.
Answer:
350gallons /minute
Step-by-step explanation:
D = minimun depth of mine
4D-250 = minimum gallon per minute required to pump
4(150)- 250= 350gallon/minute
She can travel 3000 miles
Answer: 5, -4, 2.6, and 100
Step-by-step explanation:
