A restaurant has a sign by the front that says “Maximum occupancy : 75 people”.

What percentage of its capacity is 9 people?

What percentage of its capacity is 51 people?

What percentage of its capacity is 84 people?

What percentage of its capacity is 9 people?

                             12%

What percentage of its capacity is 51 people?

                          68 %

What percentage of its capacity is 84 people?                

                         112%

Ans to qu 1 = 12.68

Ans to qu 2) = 68%

Ans to qu 3) = 112%

Step-by-step explanation:

We convert the fraction

To find percentages on higher or lower required numbers we just divide the query number into 75 and x 100 answer.

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

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240