MATHEMATICS HIGH SCHOOL

Determine the solution to f(x) = g(x) using the following system of equations:f(x) = 5.5x − 13
g(x) = −5x + 18.5

x = 1
x = 2
x = 3
x = 4

Answers

Answer 1
Answer: 5.5x-13=-5x+18.5 so 10.5x=31.5 so x=3
Answer 2
Answer:

Answer:

the answer is x = 3

Step-by-step explanation:

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Is this figure a parallelogram?

Answers

Answer:

no

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Make a the subject of V^2+U^2+2as

Answers

i think you mean v^2 = u^2 + 2as  which is an equation of motion under constant acceleration

2as = v^2 - u^2
a =  (v^2 - u^2) / 2s

A rope is stretched from the top of a 60 feet pole to a point on the ground 11 feet away from the base of the pole. What is the length of the rope?

Answers

you'd use the equation a^2 + b^2 = c^2        (**** ^2 means squared****)

a = 60

b = 11

c = ? 
 
60^2 + 11^2 = c^2 

3600 + 121 = c^2

3721 = c^2 

then just square root 3721 and c^2 

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Ana's statistics skills have been improving during her senior year at Fletcher High School. On her first end-of-the-week assessment she scored 57 points, then she scored 61 and 65 on her next two assessments. If her scores continued to increase at the same rate, what will be her score on the 9th assessment?

Answers

it will be 89 because it increases by 4 each time
Answer:
89%
Step-by-step explanation:
This is because it increases by 4 every time.

How to distribute this problem:
(x-8)^2 + 16

Answers

Answer:

We conclude that:

\left(x-8\right)^2+16=x^2-16x+80

Step-by-step explanation:

Given the equation

\left(x-8\right)^2\:+\:16

First, solve (x - 8)²

Apply Perfect Square formula:    (a - b)² = a² - 2ab + b²

a=x,\:\:b=8

\left(x-8\right)^2=x^2-2x\cdot \:\:8+8^2

             =x^2-16x+64

so the expression becomes

\left(x-8\right)^2+16=x^2-16x+64+16

                     =x^2-16x+80           Add the numbers: 64+16=80

Therefore, we conclude that:

\left(x-8\right)^2+16=x^2-16x+80

A ceiling fan has 20
-inch blades (so the radius of the circular fan is
20
inches). Suppose the linear speed of the tip of a blade is
10
feet per second.

Answers


OK.  Got it !  So the fan is spinning at about 57.296 revolutions per minute.

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