MATHEMATICS HIGH SCHOOL

Write 3.45 as a reduced mixed number.

Answers

Answer 1

Answer:

Answer:

3 $(9)/(20)$

Step-by-step explanation:

3.45=3 45/100

reduce and divided by 5

3 45/100= 3 9/20

Answer 2

Answer:

Answer:

Step-by-step explanation:

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What is the ratio 1.12 turned in to a fraction in simplest form?

What is the distance between points E and G?A.
11.2 units

B.
12.0 units

C.
14.3 units

D.
17.0 units

Answers

the answer you are looking for is 12.0

Answer:

B.) 12.0

Step-by-step explanation:

I just did it and got it right.

F c(x) = 4x – 2 and d(x) = x2 + 5x, what is (C o D)(x)?A) 4x^3 + 18x^2 – 10x
B) x^2 + 9x – 2
C) 16x^2 + 4x – 6
D) 4x^2 + 20x – 2

Answers

The value for the compositefunction is 4x² + 20x - 2.

Option D is the correct answer.

What is a function?

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

To find (C o D)(x), we need to substitute d(x) into c(x) and simplify the resulting expression.

First, we have:

C(D(x)) = 4D(x) - 2

Next, we substitute d(x) for x in the expression for D(x):

D(x) = x² + 5x

So,

C(D(x)) = 4(x² + 5x) - 2

Simplifying, we get:

C(D(x)) = 4x² + 20x - 2

Therefore,

The value for the compositefunction is 4x² + 20x - 2.

Learn more about functions here:

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$\bf \begin{cases}c(x)=4x-2\n\nd(x)=x^2+5x\end{cases}\qquad thus\n\n\n(c\circ d)(x)\implies \begin{array}{llll}c(x)=&4x-2\n\nc[\ d(x)\ ]=&4(dx)-2\n\nc[\ \boxed{x^2+5x}\ ]= &4(\boxed{x^2+5x})-2\end{array}$

distribute and simplify

What is the slope that is perpendicular to the line 4x-6y=12?.?.

Answers

Answer:

It might be -2/3

I tried doing the way I did in school but also on ---- and got the same answer so sorry if it's wrong

Answer:

-3/2

Step-by-step explanation:

4x-6y=12

-6y=12-4x

6y=4x-12

y=2/3x-2

Slope= 2/3

Perpendicular Slope= -3/2

The perpendicular line's slope is the opposite reciprocal of the original slope, so you answer is -3/2.

The sum of two numbers is 29. If thelarger number is 2 less than three times
the smaller number, what is the smaller
number.

Answers

The smaller number is 7.75.

What is an Equation?

An equation is a mathematical statement formed when two expressions are equated using an equal sign.

The equations are useful in determination of unknown parameters.

The equations are of various types, such as Trigonometric equations, quadratic equations.

The system of equations are used to solve complex problems.

Let the smaller number is x.

The larger number is 2 less than three times the smaller number

Then the larger number is 3x -2

The sum of the two numbers is 29

The sum is the output of the mathematical operation, Addition.

The equation formed is :

3x -2 + x = 29

Grouping the variables and the constants

4x = 31

Dividing both side of the equation by 4

x = 7.75

The value of the smaller number is obtained.

To know more about Equation

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Answer: 7

Step-by-step explanation:

Please help I've been stuck on this question for a while now. How do I solve (1/2)^4 (1/2)^-2? It has to do with Multiplying and Dividing Expressions with Exponents. Please show work so I may figure it out on my own.

Answers

The value of the expression is $0.25$

Explanation:

The expression is $\left((1)/(2)\right)^(4)\left((1)/(2)\right)^(-2)$

Since, the base of the expression is the same. Then, by "product rule", when multiplying two powers that have the same base, you can add the exponents.

Thus, we have,

$\left((1)/(2)\right)^(4)\left((1)/(2)\right)^(-2)=\left((1)/(2)\right)^(4-2)$