Please, someone, help with this question. This is my last question.
1 answer:
Answer:
4.5 inches high
Step-by-step explanation:
First, find the height of the tub using the volume 350 and the length 76 and width 60 in the volume formula.
Convert 350 gallons to cubic inches by multiplying 350*231 (since 1 gallon has 231 cubic inches). 350*231 = 80,850.
The volume formula for a rectangular prism is .
Substitute l = 76, w = 60 and V= 80850.
80850 = 76*60*h
80850 = 4,560*h
17.7 = h
18 = h
The tub is about 18 inches high. If the water is 1/4 of the way full. it will be 1/4 of the height.
18* 1/4 = 4.5
The water is about 4.5 inches high.
You might be interested in
We need to use rational root theorem to find out roots here.
The rational root theorem states that if p(x) is a polynomial with integer coefficients and if is a zero of p(x) then p is a factor of constant term and q is a factor of leasing term coefficient.
Here factors of constant term are 1,2,3,4,6,8,12,24,-1,-2,-3,-4,-6,-8,-12, and -24.
And factors of leading coefficient is -1,1.
Hence possible roots may be -1,1,-2,2,-3,3,-4,4,-6,6,-8,8,-12,12,-24 and 24.
Let us plugin these in f(x) to find zeroes.
Hence x=-1 is a zero which means x-(-1)=x+1 is a factor.
Let us use synthetic division to find quotient.
-1 | 1 10 35 50 24
<u>| 0 -1 -9 -26 -24</u>
<u> 1 9 26 24 0</u>
Hence quotient is
Since all coefficients are positive, root must be negative. Let's plugin all remaining negative numbers in the quotient.
Hence x+2 is another factor.
Let us find quotient again using synthetic division.
-2 | 1 9 26 24
<u>| 0 -2 -14 -24</u>
<u> 1 7 12 0</u>
Hence quotient is
Again we got quotient with all positive coefficients, let us plugin remaining negative numbers from rational root theorem.
Hence x+3 is also a factor.
Let us find quotient using synthetic division.
-3 | 1 7 12
<u>| 0 -3 -12</u>
<u> 1 4 0</u>
Hence quotient is x+4.
So,
Please have a look at the graph attached.
