Answer:
52 minutes
Step-by-step explanation:
it takes him 13 minutes to complete 5 so if he wants to do 20 problems do 20 divided by 5 (4) then do 13 times 4=52
1) 32% students chose red, yellow, & orange.
Find the total number of students that gave their favorite color.
6 + 4 + 8 + 7 + 9 + 3 + 4 + 9 = 50 students
Find the students that chose red, yellow, and orange.
9 + 4 + 3 = 16
16 out of 50 students chose red, yellow, & orange as their favorite color.
16/50 = 32/100, which is 32%.
2) No, 2/25 students chose pink, which is less than 1/10.
Find the number of students that chose pink -- 4 students. 4 out of 50 students. 4/50 reduced is 2/25.
2/25 is 0.08.
1/10 is 0.10.
So, less than 1/10 of the students chose pink as their favorite color.
3) 18% students chose blue as their favorite color.
Find how many students chose blue -- 9 students.
9 students out of 50 students, 9/50. Multiply both sides by 2 to get 18/100.
18/100 is 18 percent.
4) 21/50 students chose green, black, & purple.
Find how many students chose green, black, and purple.
7 + 8 + 6 = 21
21 out of 50 students, 21/50.
2y² + y - 3
(2y+3)(y-1)
2y(y-1) + 3(y-1)
2y² - 2y + 3y - 3
2y² + y - 3
2y + 3 = 0
2y = -3
y = -3/2
y = -1 1/2
y - 1 = 0
y = 1
2y² + y - 3 = 0
2(-3/2)² + (-3/2) - 3 = 0
2(9/4) - 3/2 - 3 = 0
18/4 - 3/2 - 3 = 0
18/4 - (3/2 * 2/2) - 3(4/4) = 0
18/4 - 6/4 - 12/4 = 0
(18 - 6 - 12)/4 = 0
(18 -18)/4 = 0
0/4 = 0
0 = 0
Given:
The function is
To find:
The domain and range of the given function.
Solution:
Domain is the set of input values.
Range is the set of output values.
We have,
It is an exponential growth function, where the initial value is 4 and the growth factor is .
We know that the exponential function is defined for all real values of x. so,
Domain = { x | x is a real number}
In the given function 4>0 and for all real values of x. So,
Range = {y | y > 0}
Therefore, the correct option is A.