A survey was conducted among 400 students of age groups 7–12 years and 13–18 years to find their favorite music genre. The students had to select any one genre out of jazz, rock, and pop. Out of the 200 students in the age group 7–12 years who participated in the survey, 142 liked rock or pop music. The total number of students of both age groups who liked jazz was 72.

Using a two-way table, compute the total number of students in the age group 13–18 years who liked rock or pop music. (5 points)

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

b) k’(6, 4); l’(3, 3)

step-by-step explanation:

a 270° clockwise rotation maps every point (x, y) to (y, -x). (it negates the x-coordinate and then switches it and the y-coordinate.)

this means the endpoints of the side congruent to kl, k' and l', would be mapped as:

k'(-4, 6)→(6, 4)

l'(-3, 3)→(3, 3)

alaska, florida, nevada, south dakota, texas, washington and wyoming, tenessee and new hampshire.

step-by-step explanation: