The quotient of 9 and a number added to 30 is 33

The number is 27

Step-by-step explanation:

Step 1:  Convert words into an expression

The quotient of 9 and a number added to 30 is 33

30 + (n / 9) = 33

Step 2:  Subtract both sides by 30

30 + (n/9) - 30 = 33 - 30

n/9 = 3

Step 3:  Multiply both sides by 9

n/9 * 9 = 3 * 9

n = 27

 The number is 27

r(0,90)(x,y) . t(-5,0)

last option

step-by-step explanation:

∆def to ∆d"e"f"

- rotate 90 counterclockwise degrees

- then translated 5 to the left (x --> x - 5)

answer is the last option

step-by-step explanation:

f(x)=2x^2 -1 

translation is a function transformation that transform the function in a way of translating. by translating the function its graph is moved  up an down. moving the function f(x) 2 units to the left will be the new function g(x) with the equation: g(x)=f(x+2)=2(x+2)^2 -1