MATHEMATICS HIGH SCHOOL

Use the functions m(x) = 5x + 4 and n(x) = 6x − 9 to complete the function operations listed below.Part A: Find (m + n)(x). Show your work.

Part B: Find (m ⋅ n)(x). Show your work.

Part C: Find m[n(x)]. Show your work.

Answers

Answer 1

Answer:

For this case we have the following functions:

For the sum of functions we have:

Substituting values:

Adding similar terms we have:

For the multiplication of functions we have:

Substituting values:

If we apply the distributive property we have:

Adding similar terms we have:

For the composition of functions we have:

Rewriting we have:

Answer 2

Answer: A. (m+n)(x)=
5x+4+6x-9=
11x-5

B. (mn)(x)=
(5x+4)(6x-9)=
30x^2+24x-45x-36=
30x^2-21x-36

C. basically sub n(x) for x in m(x)
m(n(x))=
5(6x-9)+4=
30x-45+4=
30x-41

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A student uses the substitution method to solve the system of equations below algebraically.2x - y = 5 3x + 2y = -3 Which equivalent equation could be used?

PLEASE HELP
what is there value of y?
what is the value of x?

Answers

Answer:

x=14

y=30

Step-by-step explanation:

5x+25=3x+53

5x=3x+28

2x=28

x=14

2y+35=95

2y=60

y=30

(I assumed all of the angles are equal, correct me if I'm wrong.)

Answer:x=14

Step-by-step explanation:

Let's first understand what we need to do. We need to solve for two variables, x and y. We do these by setting two systems of equations equal to each other. This is easily done for x, but for y the other equation is missing. Keep this in mind for later.

So, we will first start off by solving for x. We do this by using inverse operations.

5x+25=3x+53 We will subtract

5x=3x+28

2x=28 Divide

x=14

You can plug 14 into both the xs and they will be similar, and both will have the similar results once you solve for y and plug it into the equation along with x.

We know that the 5x+25 on the left is adjacent to 2y+35, and so is the second x. Adjacent angles add up to 180 total, and so to solve for y we need to plug 12 in the first x.

5(14)+25=95

180-95=85

85 is the value of 2y+35

We will solve for y just like any other alegrbaic problem

85=2y+35

50=2y

y=25

We know know that y is 25 and x is 14

Plug both values into 2 adjacent angles and they will add up to 180.

How much bigger is 132 than 110 in percentage?

Answers

Answer:

22%

Step-by-step explanation:

132%-110% is 22%

The steps in writing f(x) = 18x + 3x2 in vertex form are shown, but a value is missing in the last step. Write the function in standard form. f(x) = 3x2 + 18x Factor a out of the first two terms. f(x) = 3(x2 + 6x) Form a perfect square trinomial. f(x) = 3(x2 + 6x + 9) – 3(9) Write the trinomial as a binomial squared. f(x) = 3(x + ______)2 – 27

Answers

To find the vertex form of parabola $y=a(x-x_0)^2+y_0$ given in almost standard form $y=ax^2+bx+c,$ were written following steps:

1. Write the function in standard form:

$y=3x^2+18x.$

2. Factor a out of the first two terms:

$y=3(x^2+6x).$

3. Form a perfect square trinomial:

$y=3(x^2+6x+9-9)=3(x^2+6x+9)-3\cdot 9.$

4. Write the trinomial as a binomial squared:

$y=3(x+3)^2-27.$

The vertex is (-3,-27).

Answer: missing value is 3

The function in vertex form is y = 3( x+3)² -9

What is a Function ?

A function is a mathematical statement formed for relating a dependent and in independent variable.

It is given that

f(x) = 18x +3x²

To write it into vertex form

The standard vertex form is given by

y =a(x- h)² +k

y = 18x +3x²

y = 3(x² +6x)

y = 3 (x² + 2.3 x + 9) -9

y = 3( x+3)² -9

Therefore in vertex form the function is y = 3( x+3)² -9

To know more about Function

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Ashton works as a marketing manager for a consumer products firm. His total earnings, A, in x months is given by the function A(x) = 2,400x + 40x2. His total savings, S, in x months is given by the function S(x) = 250x + 500.The function E(x) = 40x^2 + 2,150x - 500 40x^2 + 2,650x + 500 40x^2 + 2,150x + 500 40x^2 + 2,650x - 500 represents Ashton’s total expenses in x months.

Ashton’s expenses for 3 years total $ 6,310 8,810 128,740 147,740 .

Answers

E(x) = A(x) - S(x) = 2400x + 40x^2 - (250x + 500) = 2400x + 40x^2 - 250x - 500 = 40x^2 + 2150x - 500

Ashton's expenses for 3 years E(3) = 40(3)^2 + 2150(3) - 500 = 40(9) + 6450 - 500 = 360 + 5950 = $6,310

Final answer:

The functions for Ashton's earnings and savings are given, and his expenses should theoretically be his earnings minus savings. However, the question appears to contain errors, making this computation impossible. Therefore, the given scenario cannot be accurately analyzed.

Explanation:

From the question, we know Ashton's income is A(x) = 2,400x + 40x2, and his savings are S(x) = 250x + 500. His total expenses are represented by E(x) = 40x2 + 2,650x - 500, but it seems there was a mistake in the question with the repetition of the function E(x) and the incorrect total expenses over 3 years.

In principle, to get the equation for Ashton's expenses, we would subtract his savings from his earnings (A(x) - S(x) = E(x)), assuming the given functions are correct. This means, his expenses should equal to his earnings minus savings. However, this cannot be successfully applied because of inconsistencies in the given information.

Learn more about Functions here:

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What is the answers ?

Answers

ok so the 2nd and 3rd are obviously wrong
there must be a craxy pattern

hmm
1+4=5 corerct

2+5=7
that is 5 away from 12

3+6=9
that is 12 away from 21

I see it
1+4=5
2+5+5=12
3+6+12=21
so the pattern is takee the result from the last equaton and add to the next

see how it goes, 1,2,3, then jumps to 8
we need to buildto 8
4+7+21=32
5+8+32=45
6+9+45=50
7+10+50=67
8+11+67=86

the result is 86

19 because you have to have to add them

A letter in the word ACCEL is chosen. What is the theoretical probability of choosing a C?