Based on the information of the table, you have:
1. The ratio is 105/150. By simplifying you get for the ratio 7/10.
2. The students that prefer action movies are 75+90 = 165 and the total numbe of students is 180+240 = 420. Then, the fraction of students who prefer action movies is:
165/420 = 11/28
3. The fraction of seventh graders students that prefer action movies is:
75/180 = 5/12
4. The percent of student that prefer comedy is:
105 + 150 = 255 total student that prefer comedy
420 total number of students
the fraction is:
(x/100)420 = 255
solve for x:
x = 255(100/420)
x = 60.71
the percent of students is 60.71%
5. The percent of eighth graders student who prefer action moveis is:
(x/100)240 = 90
x = 90(100/240)
x = 37.5
the percent of students is 37.5%
6. To determine which from the given grades has the greatest percent of student that prefer action movies, calculate the percent of student in seventh-grade:
(x/100)180 = 75
x = 75(100/180)
x = 41.66
the percent of student is 41.66%
then, seventh grade has the greatest percent of student that prefer action movies.
Answer: 120
Step-by-step explanation:
5!/(5-4)!=5!/1!=(5*4*3*2*1)/1
120/1
=120
We need to write the equation in its vertex form so we have to know the general equation for the vertex form. It is written as:
y = (x - h)^2 + k
where h and k represents the point of the vertex.
We go as follows:
y = (x^2 + 4x) – 3
y +4= (x^2 + 4x+4) – 3
y = (x + 2)^2 - 7
Therefore, the correct answer from the choices is option B.
Answer:


Step-by-step explanation:
Composite function:

h(x) = 5/x-4
We have x on the denominator and not the numerator, so the outer function is given by:

The denominator is x - 4, so this is the inner function, so:
