MATHEMATICS HIGH SCHOOL

Arrange the equations in the correct sequence to find the inverse of f(x)=y=3x/8+x

Answers

Answer 1
Answer: To find the inverse of the the function, it must be arranged in such a way that the independent variable be on the left side and the dependent variable on the right. So,
f(x) = y = 3x/ (8 + x)
y (8 + x) = 3x
8y + xy = 3x
8y = 3x - xy
8y = x (3 - y)
8y / (3-y) = x
x = 8y / (3 -y)

Therefore,
f-(x) = f(y) = x = 8y/ (3 - y)

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What is the area of the whole rectangle

Answers

Answer:

Step-by-step explanation:

it is divided into 4 rectangles

first rectangle ( 100 cm ^2)

area = l × b

= 10 × 10 = 100 cm^2

second rectangle ( 60 cm^2)

area = l × b

= 6 × 10 = 60 cm^2

third rectangle ( 20 cm^2)

area = l × b

= 2 × 10 = 20 cm^2

fourth rectangle ( 12 cm^2)

area = l × b

= 2 × 6 = 12 cm^2

so total area of the rectangle = 100 + 60 + 20 + 12 cm^2

= 192 cm^2

hope this helps

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What is the difference in elevation between High Point (673 feet above sea level) and Low point (80 feet below sea level)?

Answers

Answer:

The difference in elevation between High Point and Low Point is of 753 feet.

Step-by-step explanation:

Since High Point is located at 673 feet above sea level (+673) and Low Point is located at 80 feet below sea level (-80), in order to know the difference in elevation between both points we have to do the following calculation:

673 - (-80) = Difference

673 + 80 = Difference

753 = Difference

The difference in elevation between High Point and Low Point is of 753 feet.
Difference is subtraction so 673-80 = 593. 593 is your answer. ;) Hope I helped.

Which sequence is modeled by the graph below?coordinate plane showing the points 2, 1; 3, 2; 4, 4; and 5, 8

an = one half(2)n − 1
an = 2(2)n − 1
an = 4(−2)n − 1
an = 2(one half)n − 1

Answers

First, we inspect what type of sequence is the order of the coordinates:
a2 = 1
a3 = 2
a4 = 4

Getting the difference,
a3 - a2 = 1
a4 - a3 = 2

The differences are not equal; hence, the sequence is not arithmetic.

Getting the ratio:
a3/a2 = 2
a4/a3 = 2

The common ratio is 2. Using the general form for a geometric series:
an = a1 r^(n-1)
If n = 2
1 = a1 (2)^(2-1)
a1 = 1/2

So,
an = (1/2) (2)^(n-1)

The answer is the first option.

Answer:

an = one half(2)n − 1

Write a ratio for the following description: Kaleel made three times as many baskets as john during basketball practice.

Answers

You would have 3 times the amount of baskets john(j) made equals the amount of baskets kaleel(k) made. So you would have 3j=k.

Is 0.789 greater than 0.7 or less then it?

Answers

The answer is 0.789
So that means 0.789 is greater than 0.7
Hope this helps  :)

Sidney bought two magazines that were each $5. If Sidney paid a total of $10.70 for the two magazines with tax,what percent tax did she pay for her purchase?

Answers

10 x 1.07 = $10.70
therefore, she paid 7% tax for her purchase.

Answer:

7% tax

Step-by-step explanation:

[1,07][10] = 10,7

An extra 7¢ were added to that, therefore her tax percentage was 7%.

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