Write an equation for the translation of y = |x|. 6.5 units up
a. y = |x| + 6.5
b. y + 6.5 = |x|
c. y = |x| – 6.5
d. y = |6.5x|

A.

Step-by-step explanation:  

We have been given an absolute value function . We are asked to translate the given function 6.5 units up.

Let us recall translation rules.

Using translation rules after translation our function would be .

Therefore, option A is the correct choice.

75 tickets have been sold so far.

step-by-step explanation:

in this question it is clearly mentioned that 45 children's tickets have been sold and this number is 60% of the total tickets sold.

now let's assume the total number of tickets sold be x.

then 60% of x = 45

⇒

⇒ x(.6) = 45

by dividing with .6 on both the sides of the equation

⇒ x = 75

therefore 75 tickets have been sold so far.

the correct answer is x/3+10≥32

hope this !