Given that f(x) = x2 + 12x + 32 and g(x) = 2 + 4, find (f - g)(x) and
express the result in standard form.

Answers

Answer 1

Answer:

(f - g)(x) = x² + 12x + 26

General Formulas and Concepts:

Pre-Algebra

Distributive Property

Algebra I

Terms/Coefficients/Degrees

Step-by-step explanation:

Step 1: Define

f(x) = x² + 12x + 32

g(x) = 2 + 4

(f - g)(x) is f(x) - g(x)

Step 2: Find

Substitute:                         (f - g)(x) = x² + 12x + 32 - (2 + 4)Combine like terms:         (f - g)(x) = x² + 12x + 32 - 6Combine like terms:         (f - g)(x) = x² + 12x + 26

Related Questions

Algebra 2. Please help! I got 40% on my last try

Answers

Maybe third one ( -2 -8)

Answer: x=-6 so it has to be the first option

Step-by-step explanation:

This is the answer upon dividing the polynomial.

Let the vector \mathbf{v}v have an initial point at (1, -2)(1,−2) and a terminal point at (0, 0)(0,0). Plot the vector \mathbf{v}v and afterwards follow the guided steps to analyze the vector.

Answers

Given that the initial point of the vector is (1,-2) and the termination point of the vector is (0,0).

So, the tail of the vector is at point (1,-2) and the head of the vector is at (0,0). The vector, [tex]\vec{v}[/tex], has been shown in the figure.

The magnitude of the vector:

[tex]|\vec{v}|=\sqrt{(1-0)^2+(-2-0)^2}=\sqrt{1+4}=\sqrt{5}[/tex]

The direction of a vector is the angle made by a vector with the positive direction of the x-axis.

From the figure, [tex]\theta = 180 \degree\tan ^{-1} \left|\frac {0-(-2)}{0-1}\right|[/tex]

[tex]\theta = 180 ^{\circ} - \tan^{-1}(2) = 180 ^{\circ} - 63.43^{\circ}[/tex]

[tex]\theta =116.57 ^{\circ}[/tex]

Hence, the required vector having a magnitude [tex]\sqrt {5}[/tex] and direction [tex]116.57 ^{\circ}[/tex] has been shown in the figure.

Please help me!! It’s important

Answers

Answer:

The slope is 2

Step-by-step explanation:

Pick two points and plug into this equation: y2-y1/x2-x1

(-3,2) and (-1,6)

2-6/-3-(-1)=-4/-2= 2

Answer:

The slope of the linear function is 2

Step-by-step explanation:

Calculating the Slope of a Line

Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:

[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

The table shows four points: (-3,2), (-1,6), (1,10), and (3,14). To find the slope on the line passing through them we only need two, for example (-3,2), (-1,6):

[tex]\displaystyle m=\frac{6-2}{-1+3}[/tex]

[tex]\displaystyle m=\frac{4}{2}=2[/tex]

Any other pair of points should give the very same value for the slope. Use (1,10), and (3,14):

[tex]\displaystyle m=\frac{14-10}{3-1}[/tex]

[tex]\displaystyle m=\frac{4}{2}=2[/tex]

Thus, the slope of the linear function is 2

a×2×5=
.so what should I do?​

Answers

Answer:

2 x 5 = 10

10 x a = 10a

answer = 10a

Step-by-step explanation:

the answer on top is step by step

ax2x5

    ^   ^

      10xa

The way I learned it was that if they dont have the same variables dont touch them, so what I did was multiply the like numbers (2 and 5). Why are they alike? Because they don't have a variable! I then just put the X sign there to show that there is no other way to multiply this. If it where addition, it would be 10+a so that would equal 10a.

A and B are complementary angles. If A = (x + 9) and m B = (7x – 15)° then find the measure of B.​

Answers

Answer:

[tex]coplementary \: angles \: = 90° \\ (x + 9)° + (7x - 15)° = 90° \\ (8x - 6)° = 90° \\ 8x = 90 + 6 \\ 8x = 96° \\ x = 12\\ angle \: B. = ((7 \times 12)- 15) \\ = 69°[/tex]

Rewrite each of the following so there are no parentheses, negative or zero exponents:
1. 4a^2b^3/a^5b
2. -3p^-2q^2 x 4p^4q^-5

Answers

Answer:

can you give me an answer to something I need help on and ill answer this

Step-by-step explanaton:

plz help will give brainliest

Answers

Answer: $6,120

Step-by-step explanation:

There are 15 fruits in each basket.

The store shipped 3,825 fruits, to find the number of baskets of fruits shipped you have to divide 3,825 by 15.

3,825 ÷ 15 = 255

Each basket costs $24 so to find the cost of 255 baskets, you multiply 255 by 24.

$24 × 255 = $6,120

Leona earned $6,120 from the gift baskets sold.

Hope this helped!! :p

Simplify the radical expression below
✔️3/25

Answers

Answer:

√3/5 B)....…...........

what is 370 by the power of 90

Answers

its a really big #

1.37453298E231

^ is ur answer

What is the answer to “c+ 13–9c + 11”

Answers

Answer: -8c+24

Step-by-step explanation:

PLEASE HELP

An example problem for multiplying or dividing integers with a different sign.

Answers

Answer: ↓↓

Step-by-step explanation:

10 ÷ -5

The answer's -2 btw

Hope this was what you were asking

What is the slope of the line?

Answers

Answer:

=4/1 or 4

Step-by-step explanation:

Remember Rise/Run

also remember this formula:

y2-y1/

x2-x1

Your coordinates are: (-2, 1) (-3, -3)

-3-1/

-3-(-2) = -4/-1  or 4

Two negatives cancel out and make it a positive.

Look at attachment for further information

Any questions or concerns, please ask

Hope this helps (:

The slope is 4.
Explanation: slope is found by rise over run.

Can someone help me calculate angles? P2

Answers

Answer:85

Step-by-step explanation: In this problem you are trying to find the missing angle of a line. In a line all angles have to add up to 180 so what you wanna do first is add 55 and 40 which gives you 95. Next, you wanna subtract 95 from 180 which will give you 85. Now you know the missing angle.

put them in order from the least to greatest. You can use the number line to help!!

Answers

Answer:

-1 4/5, -1.7, -1 1/10, -1.

Step-by-step explanation:

We convert all of these to tenths. -1 4/5 becomes - 1 8/10. -1.7 becomes -1 7/10. -1 1/10 is already in tenths and -1 is a whole number. When putting these from least to greatest, remember that the bigger the negative, the less the number is.

HELP THIS IS URGENT ​

Answers

y=3/2x -1.5

The y intercept is -1.5 and then it’s 3 up and 2 to the right from there.

SOMEONE PLS HELP!
(4+51)(4 - 51) =
DONE

Answers

The right answer is -2585

The printing company charges a fixed amount for creating the artwork and then charges an additional amount based on the number of shirts purchased. The graph shows the price including artwork, for different numbers of shirts,​

Answers

Answer: 5

Step-by-step explanation:

What is the final amount if 1102 is increased by 2% followed by a further 1% increase?
Give your answer rounded to 2 DP.

Answers

Answer:

1135.28

Step-by-step explanation:

1102 * (1.02) = 1124.04

1124 * (1.01) = 1135.28

Find the value of X in the measure of angle 2.

Answers

Answer:

x = 11, ∠ 2 = 146°

Step-by-step explanation:

∠ 2 and 146° are corresponding angles and are congruent, then

∠ 2 = 146°

Thus

13x + 3 = 146 ( subtract 3 from both sides )

13x = 143 ( divide both sides by 13 )

x = 11

What is the quotient?

-4/5÷2​

Answers

Answer: -2/5
Decimal form: -0.4

Answer:

Answer = [tex]-\frac{2}{5}[/tex]

Decimal = [tex]-0.4[/tex]

Step-by-step explanation:

given a-2b=8, 4a+3b= 21; prove b= -1

please give a step by step answer

Answers

Answer:

Step-by-step explanation:

We can solve this with some pretty simple substitution

First write that a=2b+8

and our reasoning for this is that we added 2b from the first equation

Then write

4(2b+8)+3b=21

After we figured out what A was in the previous part we are able to substitute that into our other equation

Then you solve for b from here

8b+32+3b=21

11b=-11

b= -1

If you have any questions leave them below

WILL MARK BRAINLIEST

Answers

Answer:c

Step-by-step explanation:

Answer:

I think it is 19.7

Step-by-step explanation:

please help, would be greatful :)

Answers

Answer:

x ≈ 31.0°

Step-by-step explanation:

Using the tangent ratio in the right triangle

tanx = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{9}{15}[/tex], then

x = [tex]tan^{-1}[/tex] ([tex]\frac{9}{15}[/tex] ) ≈ 31.0° ( to 1 dec. place )

how to simplify (4x + 3) - (6x - 2) + (3x + 5)

Answers

Answer:

It is simplified as x + 10.

Step-by-step explanation:

Convert the negative sign for the second parentheses equation to -6x + 2.  Your equation should now look like this 4x + 3 -6x + 2 + 3x + 5.  Combine the 3 x value terms and the 3 non-value terms together to get your simplified answer which is x + 10.

Expand and simplify (x − 2)(x - 1)​

Answers

Answer:

Expand the polynomial using the FOIL method.

x^2−3x+2

Answer:

x^2 - 3x + 2

Step-by-step explanation:

x times x is x^2

x times - 1 is -1x

-2 times x is -2x

-2 times -1 is 2

x^2 - 3x + 2

What is the slope of the line passing through the points (0, 4) and (-8, -1)?

Enter your answer in the box.​

Answers

Answer:

0.625

Step-by-step explanation:

Given the points :

(0, 4) and (-8, -1)

x1 = 0 ; y1 = 4

x2 = - 8 ; y2 = - 1

Slope, m = rise / run

Rise = y2 - y1 = - 1 - 4 = - 5

Rise = x2 - x1 = - 8 - 0 = - 8

The slope, m = - 5 / - 8

Slope, m = 0.625

In a bag there are blue sweets and red sweets.
The ratio of blue sweets to red sweets is 4:9
What fraction of the sweets are blue?

Answers

Answer:

9/4

Step-by-step explanation:

9 out of 4 are blue, just flip the ratio.

Answer:

4/13

Step-by-step explanation:

A ratio can be added up to find the denominator, and using that information, you can do 4+9=13. Then in order to find the blue sweets which are the 4 part, we just need to make it numerator to get 4/13.


Frank has x grapes.
Gabriel has two fewer grapes than Frank.
Himali has five times as many grapes as Frank.
If Gabriel has 6 grapes how many does Hamali have?

Answers

Hamali has 40 grapes

help please need this answer asap

Answers

Answer:

Step-by-step explanation:

a. A=X

B=Z

C=Y

b. AB = XZ

AC=XY

BC= ZY

Answer:

a. A=X

B=Z

C=Y

b. AB = XZ

AC=XY

BC= ZY

Step-by-step explanation:

Hope this helped have an amazing day/month/year!

help would be appriciated :)​

Answers

Answer:

Any assistance you can provide would be greatly appreciated. Any help you can give would be greatly appreciated. But "assistance" is a more formal word than "help". "Provide" is also formal.

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