Step-by-step explanation:
= 11 R 49
= 11 49/76
885 divided by 76 equals
11 with a remainder of 49
011 R49
76 /885
836
49
Step-by-step explanation:
replaced f(x) with 5
5= x^2 +4
5 -4 = x^2
1 = x^2
take the square root on both sides
- 1 or 1 = x
Answer:
120 cups of sugar
8 ounces of paint
Step-by-step explanation:
Given that :
To cover all sides of the rectangular prism with paint, that is the surface area.
The amount of sugar held by the prism is function of its volume.
Hence, doubling the dimension :
The surface area, in unit² is a obtained by
Initial paint required * 2^2
2 * 2² = 2 * 4 = 8 ounces of paint.
For sugar :
It has to do with volume, unit³
Initial * double³
15 * 2³
15 * (8) = 120 cups of sugar
Given vertical asymptotes x = 2 and x = -5 .
Therefore Factors of denominator (x-2)(x+5).
x-intercepts (-1,0) and (1,0) .
Therefore factors of (x+1)(x-1).
So far we got rational function =
.
Now, we are given horizontal asymptote at y = 9.
Multiplying above express by 9 on the top, we get
.
<h3>Therefore, required rational function is

.</h3>
44 students in Mrs. Vitale's class read 11 books
<h3>Ratio and proportions</h3>
Let the number of students that read 11 books in Mrs. Vitale's class be x
If One fourth of the students in Mrs. Vitale's class read 11 books, then
1/4 x = 11 books
x = 11 * 4
x = 44
Hence 44 students in Mrs. Vitale's class read 11 books
Learn more on ratio and proportion here: brainly.com/question/2914376