Amy is thinking of a number that is 2 times the value of jake's number. Amys number is also 2 more than 3 times the value of jake's number. What is amys number? Write and solve a system of equations to answer the question.
A.4
B.2
C-2
D.-4

D

Step-by-step explanation:

Amy's number: a

Jake's number: j

a = 2j

a = 2 + 3j

2j = 2 + 3j

j = -2

a = 2j = 2(-2) = -4

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.

11.2

step-by-step explanation:

when doing tangent the tangent of the angle is equal to the opposite side from the angle over the adjacent side to the angle.

tan43 = x / 12

move 12 over by multiplying each side by 12

12tan43 = x

x = about 11.2