if f(x)=3x+5 and g(x)=-2x^2-5x+3,find (f+g)(x)

Answer:

60

Step-by-step explanation:

Answer:

Dustin Earns $14,000 in a year but in the question, we are given the salary of a month

Monthly salary of dustin:

14000 / 12 = $1,166 (approx)

Hence,

The actual monthly salary of Dustin is $1166, excluding the commissions

For a specific month, the salary of Dustin including the commissions is $2,400

Money earned in commissions:

Salary earned  - Actual monthly salary

2400 - 1166 = $1,234

We are given the sales of Dustin for that specific month = $ 18,000

Hence, Dustin Earned a commission of $1,234 for sales of $18,000

Commission rate of Dustin:

Commission Earned * 100 / Sales made

1234 * 100 / 18000

6.856 %

Therefore, the commission rate of Dustin is 6.856%

[tex]\bold{Hello!}\\\bold{Your~Answer~Is~Below!}[/tex]

______________________________

[tex]\bold{Solution~Steps:}[/tex]

[tex]1.)~Rewrite: 64x^6-1~as~(8x^3)^2-1^2[/tex]

        [tex]a^2-b^2=(a-b)(a+b)[/tex]

       [tex]\bold{(8x^3-1)(8x^3+1)}[/tex]

[tex]2.)~Rewrite:~8x^3-1~as~(2x)^3-1^3[/tex]

        [tex]a^3-b^3=(a-b)(a^2+ab+b^2)[/tex]

       [tex]\bold{(2x+1)(4x^2+2x+1}[/tex]

[tex]3.)~Rewrite:~8x^3+1~as~(2x)^3+1^3[/tex]

       [tex]a^3+b^3=(a+b)(a^2-ab+b^2)[/tex]

       [tex]\bold{(2x+1)(4x^2-2x+1)}[/tex]

[tex]4.)~Rewrite~the~complete~factored~expression:[/tex]

        [tex](4x^2-2x+1),~(4x^2+2x+1)[/tex]

______________________________

[tex]\bold{Answers:}[/tex]

______________________________

[tex]\bold{Hope~this~helps,}\\\bold{And~best~of~luck!}\\\\\bold{~~~-TotallyNotTrillex}[/tex]

Answer:

n=9/5, 1.8, or 1 4/5

Step-by-step explanation:

Answer:

oml

Step-by-step explanation: [tex]n[/tex]=9/5

i think ';-;

Answer:

Brainlest two angle adjacent will mark

Answer: function

Step-by-step explanation: Here were given a relation in

the form of a graph and we're asked if it represents a function.

In this situation, we would use what is called the vertical line test.

In other words, if we can draw a vertical line that passes through more

than one point on the graph, then the relation is not a function.

In this problem, there is no way to draw a vertical

line that passes through more than one point on a graph.

Therefore, this relation must be a function.

Answer:

7/26

Step-by-step explanation:

7/8 ÷ 13/4

7/8 * 4/13

7/2 * 1/13

=7/26

Answer:

121

Step-by-step explanation:

f(-3)=2[1-4(-3)]-5[3(-3)-10]

or,f(-3)=2*13-5*(-19)

or,f(-3)=26+95

f(-3)=121

Answer:

[tex]\huge\boxed{\boxed{\bf{16f-116}}}[/tex]

Step-by-step explanation:

Hello.

Do you remember what the Distributive Property states? If you don't, please don't worry :)

The Distributive Property states that

[tex]\huge\boxed{a(b+c)=ab+ac}[/tex]

Now, let's simplify our expression ;)

4(4f-29)

4 times 4f and 4 times -29:

4×4f=16f

16f- (4×(-29)

16f-116

And we're done!

I hope it helps & have an outstanding day!  

~ST2710 :)

Answer:

[tex]\boxed {\tt y=\frac{2}{5}x-2}[/tex]

Step-by-step explanation:

If the slope and y-intercept is known, the equation of a line can be written using slope-intercept form.

[tex]y=mx+b[/tex]

where m is the slope and b is the y-intercept.

We know that the slope is 2/5.

The y-intercept is (0,-2). For this form, we only need the y-coordinate, which is -2 in this case. Therefore, we can say the y-intercept is -2.

[tex]m=2/5 \\b= -2 \\[/tex]

Substitute the values into the formula.

[tex]y=2/5x+ (-2)[/tex]

[tex]y=2/5x-2[/tex]

The equation of the line is y=2/5x-2

Step-by-step explanation:

-t = 9(t-10)

-t = 9t - 90

90 = 9t + t

90 = 10t

90 ÷ 10 = t

9 = t

Answer:

A score of 61 should be used as the cutoff for the lower 16% and a score of 92 should be used as the cutoff for the upper 2.5%.

Step-by-step explanation:

The data set for the scores of the 30 people are:

S = {79, 79, 71, 51, 65, 71, 65, 90, 60, 62, 78, 76, 88, 69, 65, 91, 72, 56, 61, 83, 61, 78, 68, 66, 52, 79, 88, 74, 71, 69}

Compute the mean and standard deviation:

[tex]\mu=\frac{1}{n}\sum X=\frac{1}{30}\times 2138=71.27\\\\\sigma=\sqrt{\frac{1}{n-1}\sum (X-\mu)^{2}}=\sqrt{\frac{1}{30-1}\times 3343.8667}=10.74[/tex]

It is provided that in the past the company issued a rejection letter with no interview to the lower​ 16% taking the test.

That is the probability of no interview is, P (X > x) = 0.16.

That is, P (Z > z) = 0.16.

The z-score corresponding to this probability is, -1.

Compute the value of x as follows:

[tex]z=\frac{x-\mu}{\sigma}\\\\x=\mu+z\cdot \sigma\\\\=71.27+(-1\times 10.74)\\\\=60.53\\\\\approx 61[/tex]

It is also provided that the upper​ 2.5% directly to the company without an interview.

That is the probability of no interview is, P (X < x) = 0.025.

That is, P (Z < z) = 0.025.

The z-score corresponding to this probability is, 1.96.

Compute the value of x as follows:

[tex]z=\frac{x-\mu}{\sigma}\\\\x=\mu+z\cdot \sigma\\\\=71.27+(1.96\times 10.74)\\\\=92.3204\\\\\approx 92[/tex]

Thus, the complete sentence is:

A score of 61 should be used as the cutoff for the lower 16% and a score of 92 should be used as the cutoff for the upper 2.5%.

Answer:

16√5

Step-by-step explanation:

[tex]13 \sqrt{5} + 3 \sqrt{5} \\ \\ = (13 + 3) \sqrt{5} \\ \\ = 16 \sqrt{5} [/tex]

I believe that the answer is y=-2x +20. please correct me if I am wrong.

Answer:

225

Step-by-step explanation:

Well, we already know how many square inches each card is. 18. All we need to do is multiply that number by 150 because we need to make 150 cards. So:

18 x 150 = 2,700inches.

Now all we need to do is divide the number of inches by the amount each foot is. Each foot is 12 inches. So:

2,700 ÷ 12 = 225.

225 is your answer.

Hope this helps and have a nice day!

Answer:

8 days

Step-by-step explanation:

Answer:

8 1/8

Step-by-step explanation:

Multiple the first number by the second

Answer:

4 1/8

Step-by-step explanation:

dvdsfdsfdgfdsfdsfdsfdfdfdf a ss

Answer:

3s + 3t

Step-by-step explanation:

To simplify this expression, all you need to do is distribute the 3, which means you basically multiply whatever is in the parentheses by 3:

(s + t) * 3 =

3s + 3t

And that is the simplified form for this expression.

Hope this helps :)

Answer:

y=-2/3x+18

Step-by-step explanation:

Slope intercept form equals y=mx+b

Step 1 move 2x to the other side.  3y=-2x+18

Step 2 divide by 3.   y=-2/3x+18

Answer:

[tex] \huge \boxed{x = - 1}[/tex]

Step-by-step explanation:

[tex] \frac{2x - 10}{4} = 3x \\ [/tex]

Multiply through by 4 to eliminate the fraction

That's

[tex]4 \times \frac{2x - 10}{4} = 4(3x) \\ 2x - 10 = 12x[/tex]

Subtract 12x from both sides of the equation

[tex]2x - 12x - 10 = 0 \\ - 10x - 10 = 0 \\ - 10x = 10[/tex]

Divide both sides by - 10

[tex] \frac{ - 10x}{ - 10} = \frac{10}{ - 10} \\ [/tex]

We have the final answer as

Hope this helps you

Answer:

Step-by-step explanation:

sales earning commission=130,000-21000=109,000

sales commission=5800-900=4900

rate of commission=4900/109,000 ×100=490/109 %

≈4.495

≈4.50%

Answer:

  y-intercept: (0, 5); slope: 1/4

Step-by-step explanation:

The slope (m) is found from ...

  m = (y2 -y1)/(x2 -x1)

Using the first two points in the table, this is ...

  m = (8 -6)/(12 -4) = 2/8 = 1/4 . . . . . eliminates choices A and C

__

Then, the point-slope form of the equation of the line can be written as ...

  y -y1 = m(x -x1)

  y -6 = (1/4)(x -4) . . . fill in known values

  y = 1/4x -1 +6 . . . . . add 6

  y = 1/4x +5

Then the value of y when x=0 is ...

  y = 0 +5 = 5

So, the y-intercept is (0, 5) and the slope is 1/4, matching the last choice.

Answer:

Step-by-step explanation:

x= -8,-11

Answer:

-8, -11

Step-by-step explanation:

Go to the M-a-t-h-w-a-y website

Answer:

yesnt

Step-by-step explanation:

Answer:

A: -5 and B is -14

Step-by-step explanation:

Answer:

-5 and -14

Step-by-step explanation:

-5 and -14 you can also look at calculator

Answer:

y = 3 + 1.5x

Step-by-step explanation:

4y = 12 + 6x

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Divide each side by '4'.

y = 3 + 1.5x

Simplifying

y = 3 + 1.5x

Answer:

y = 3/2x + 3

Step-by-step explanation:

Given :

To Do :-

Solution :-

The given equation is ,

⇒ 4y - 6x = 12

⇒ 4y = 6x + 12

⇒ y = ( 6x + 12 )/4

⇒ y = 3/2x + 3

Answer:

0.40x[tex]\leq \\[/tex]8

The inequality that represents the number of copies you can make is x ≤ 20. This means you can make a maximum of 20 copies with your $8.00 budget.

To determine the number of copies you can make with a given budget, you need to write and solve an inequality using the cost per copy and your available funds.

1. Let's denote the number of copies as "x".

2. The cost of each copy is $0.40.

3. The total cost of the copies can be calculated by multiplying the number of copies by the cost per copy, which gives us 0.40x.

4. You have $8.00 available for copying.

5. To represent the inequality, we compare the total cost of the copies (0.40x) to the available funds ($8.00).

6. Since you want to ensure that the cost of the copies does not exceed your budget, the inequality is: 0.40x ≤ 8.00

To solve the inequality and find the maximum number of copies you can make, divide both sides of the inequality by 0.40:

= (0.40x) / 0.40 ≤ (8.00) / 0.40

= x ≤ 20

Learn more about Inequality here:

https://brainly.com/question/30238989

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