Use the remainder theorem to factor
2 answers:
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Answer:
Step-by-step explanation:
This is a unit problem.
If you notice in that ratio, there is a "g" in both the numerator and the denominator which will cancel out, leaving you only with the label of miles, which is what you are looking for (since "how far can she drive..." is a distance thing). 28 then only needs to be divided by 8.25 to see how many miles this is.
miles which, in an improper fraction, is
miles
The x and y-intercept(s) of the graph of the function f(x)=−4|x−3|+12 are: ( 0, 0 ), ( 6, 0 ) and ( 0, 0 ) respectively.
<h3>What are the x and y -intercepts of the graph of the function f(x)=−4|x−3|+12 ?</h3>Given the function;
f(x) = −4| x-3 | + 12
First, we find the x-intercepts by simply substituting 0 for y and solve for x.
f(x) = −4| x-3 | + 12
y = −4| x-3 | + 12
0 = −4| x-3 | + 12
−4| x-3 | + 12 = 0
−4| x-3 | = -12
Divide both sides by -4
| x-3 | = 3
We remove the absolute value sign
x - 3 = ±3
x = 3±3
x = 3-3, 3+3
x = 0, 3
Hence, x-intercepts are: ( 0, 0 ), ( 6, 0 )
Next, we find the y-intercept by substituting 0 for x and solve for y.
f(x) = −4| x-3 | + 12
y = −4| 0-3 | + 12
y = −4| -3 | + 12
We remove the absolute value sign
y = −4(3) + 12
y = −12 + 12
y = 0
Hence, y-intercept is: ( 0, 0 ).
The x and y-intercept(s) of the graph of the function f(x)=−4|x−3|+12 are: ( 0, 0 ), ( 6, 0 ) and ( 0, 0 ) respectively.
Learn more about graph functions here: brainly.com/question/28105390
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The given radius is = 60 feet
The volume of the sphere is given by =
So we will find the volume of the sphere using radius as 60 and pi as 3.14
Volume = = 902059.20 cubic feet
As quarter of anything is defined as its one-fourth part, so here the volume of the quarter of sphere can be calculated by finding one fourth of the calculated volume.
So volume of quarter sphere =
= 225514.80 cubic feet
And rounding this to nearest whole number we get 225515 cubic feet as the answer.