MATHEMATICS HIGH SCHOOL

Find f(x) and g(x) so the function can be expressed as y = f(g(x)).
y =2/x^(2) + 3

Answers

Answer 1
Answer:
We are asked to find f(x) and g(x) so the function can be expressed as y = f(g(x) such that y = y =2/x^(2) + 3. There are many possibilities here but we go to the simplest ones. we can have g (x) = x2 and f(x) is equal to 2/x + 3. 
Answer 2
Answer:

One possible answer is:

f(x) = (2/x) + 3 and g(x) = x².

Explanation:

We are to write this equation as y = f(g(x)).  This means we want it to be a composite of functions; in f(x), we take the value of g(x) and use in place of x.

If we let g(x) = x², this means everywhere we see an x in f(x), we will replace it with x².  To make our equation y = 2/x² + 3, working backward we would substitute x for x²; this would give us f(x) = 2/x + 3.

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Solve the system of equations 3y+2z=12 and y-z=9
9. Identify the number of solutions to 3x + 21 = 3(x+ 7).
Write the fraction in simplest form 5/10

3x2 − y3 − y3 − z if x = 3, y = −2, and z = −5.

Answers

Plug in each variable:
3(3)²-(-2)³-(-2)³-(-5)
3(9)-(-8)-(-8)+5
27+21
The answer is 48

What’s the result when 3a^2 - 2a + 5 is subtracted from a^2 + a - 1

Show all work

Answers

Answer:

-2a^2+3a-6

Step-by-step explanation:

a^2+a-1-(3a^2-2a+5)

=a^2+a-1-3a^2+2a-5

=-2a^2+3a-6

How to write 12,400,000 in scientific notation ?

Answers

The answer is 12.4 x 10^6

The face that is shared with the rectangular prism is . The area of each base of the rectangular prism is square units. The lateral area (excluding the shared face) for the rectangular prism is square units. The total surface area of the composite figure will be square units.

Answers

The total surface area of the composite figure will be square units. Therefore, the correct option is option C.

What is prism?

A three-dimensional in nature solid object called a prism has two identical ends. It consists of equal cross-sections, flat faces, and identical bases. Without bases, the prism's faces are parallelograms or rectangles. And any n-sided polygon, whether a triangle, square, rectangle, or other, might serve as the prism's base.

A prism is a solid object with flat faces or surfaces, uniform cross-section along its length, and two identical ends (such as a triangle, square, rectangle, etc.). Given that the cross-section resembles a triangle, triangular prisms are so named. There are no curves in the prism's form. The total surface area of the composite figure will be square units.

Therefore, the correct option is option C.

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The answer is c: 279 Step-by-step explanation:

Which function below correctly illustrates the absolute value function

Answers

The answer is the second choice:
a, if a is greater than or equal to 0 and
-a, if a is less than or equal to 0

You can check this by testing out values.
The absolute value of 5 is 5 while the absolute value of -5 is -(-5) or 5. This follows the chosen function.

Last year at a certain high school, there were 132 boys on the honor roll and 90 girls on the honor roll. This year, the number of boys on the honor roll increased by 25% and the number of girls on the honor roll increased by 20%. By what percentage did the total number of students on the honor roll increase? Round your answer to the nearest tenth (if necessary).

Answers

The percentage of increase of total number of students on the honor roll is obtained as 22.97%.

What is percentage?

A percentage is a value that indicates 100th part of any quantity.

A percentage can be converted into a fraction or a decimal by dividing it by 100.

And to convert a fraction or a decimal into percentage, they are multiplied by 100.

The number of boys and girls on the honor code last year is given as 132 and 90.

Then, the total number is 132 + 90 = 222.

When, the number of boys increased by 25%, it can be obtained as,

⇒ 132 + 25% × 132 = 165

And, the number of girls increased by 20% can be obtained as,

⇒ 90 + 20% × 90 = 108

Now, the total number of students is 165 + 108 = 273.

The percent increase can be obtained as follows,

Change in the total number ÷ Initial number × 100

⇒ (273 - 222) ÷ 222 × 100 = 22.97%

Hence, the percent value of the increase in the number is 22.97%.

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Answer:

23

Step-by-step explanation:

or 2.8 but try 23 frist
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