What is (f - g)(x)? f(x) = 3x g(x) = -3x² + 3x Write your answer as a polynomial or a rational function in simplest form.​

Answers

Answer 1

Answer:

3x²

Step-by-step explanation:

(f - g)(x)

= f(x) - g(x)

= 3x - (- 3x² + 3x) ← distribute parenthesis by - 1

= 3x + 3x² - 3x ← collect like terms

= 3x²


Related Questions

Help! I’ll give you the brainly answer if you help!

Answers

Answer:

2,78,31,64,4-2,10-6,54,-97,-38,-8-7,-4-5,-11-1,-16

a triangle has a width of 4 cm and perimeter of 26 cm. find the length​

Answers

Answer:

9 ufh fcnbscbhbvxdfhbbhukkkocd

What is the quotient of 5/6 and 3/8?

Answers

Answer:

2 2/9

Step-by-step explanation:

5/6 ➗3/8

We can use the reciprocal.

So, 5/6 * 8/3 = 40/18.

40/18 can be simplified to 20/9 or 2 2/9

4a^2-20a+24+6y-9y^2

Answers

what do you mean by ^

Step-by-step explanation:

SEE THE IMAGE FOR SOLUTION

HOPE IT HELPS

HAVE A GREAT DAY

X + 7= -12i need it step by step

Answers

Answer: x = -19

Step-by-step explanation:

Given

x + 7 = - 12

Subtract 7 on both sides

x + 7 - 7 = -12 - 7

[tex]\boxed{x=-19}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Answer:

X=-19

Step-by-step explanation:

X+7=-12

subtract 7 from both sides

X=-19

Ajay is on the swim team. He improved his time on
the 50-yard freestyle from 32 seconds to 31 seconds.
What's the percent decrease in his time?
3.125%
3.23%
1.03%
3.2%

Answers

Answer: it should be  3.125%

Step-by-step explanation:

3.125% is the answer

Graph the line that passes through the points (-4,-6) and (-2,-7) and
determine the equation of the line.

Answers

Answer:

[tex]y=-\frac{1}{2}x-8[/tex]

Step-by-step explanation:

[tex](-4,-6)(-2,-7)[/tex]

Step 1. Find the slope (by using the slope-formula)

m = slope

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

[tex]m=\frac{-7--6}{-2--4}[/tex]

[tex]m=\frac{-1}{2}[/tex]

[tex]m=-\frac{1}{2}[/tex]

Step 2. Create the equation of a line that has a slope of [tex]-\frac{1}{2}[/tex]

[tex]y=-\frac{1}{2} x+b[/tex]

Step 3. Find the y-intercept

To do this, use any of the two points and substitute their x and y values

[tex]y=-\frac{1}{2}x+b[/tex]

point: [tex](-2,-7)[/tex]

[tex](-7)=-\frac{1}{2}(-2)+b[/tex]

[tex](-7)=1+b[/tex]

[tex]b=-7-1[/tex]

[tex]b=-8[/tex]

Step 4. Write the equation in Slope-intercept form

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

[tex]y=-\frac{1}{2} x-8[/tex]

Help fast! If you answer right ill give best khan academy

Answers

Answer:

17 I think it's 17 considering the 45 went to 35

Calculate the Midpoint M of line segment AB given, A(4,-10) and B(8,4).

Answers

Answer:

(6,-3)

Step-by-step explanation:

Using midpoint formula, we have

x=(4+8)/2=12/2=6

y=(-10+4)/2=-6/2=-3

3k = 126 ??????????????????????????

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\boxed{\mathsf{3k = 126}}[/tex]

[tex]\huge\boxed{\textsf{\bf DIVIDE 3 to BOTH SIDES}}[/tex]

[tex]\huge\boxed{\mathsf{\dfrac{3k}{3}= \dfrac{126}{3}}}}[/tex]

[tex]\huge\boxed{\mathsf{\bf CANCEL\ out: \dfrac{3}{3}\ because\ it\ gives \ you\ 1}}}[/tex][tex]\huge\boxed{\bf KEEP: \dfrac{}{}\ because\ it\ answers\ for\ the\ }\\\huge\boxed{\bf k-value}[/tex]

[tex]\huge\boxed{\mathsf{k = \dfrac{126}{3}}}\\\huge\boxed{\mathsf{\dfrac{126}{3} = k}}[/tex]

[tex]\huge\boxed{\textsf{\bf SIMPLIFY ABOVE}}[/tex]

[tex]\huge\boxed{\mathsf{Therefore, your \ answer \ is: k = 42}}}\huge\checkmark[/tex]

[tex]\huge\textsf{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

18(p+5) in a verbal expression

Answers

Answer:

Five greater than a number,the result is multiplied by 18

The verbal expression for 18(p + 5) is eighteen times the quantity obtained by adding five to a number p.

The verbal expression for the algebraic expression 18(p + 5) can be described as "Eighteen times the quantity obtained by adding five to a value represented by 'p'." This expression represents a mathematical operation where a given value 'p' is increased by five, and then the result is multiplied by eighteen. This type of expression is commonly encountered in various real-world situations where a value needs to be adjusted and then scaled up by a certain factor. In this case, the result reflects the outcome of multiplying the adjusted value by eighteen.

To know more about  expression here

https://brainly.com/question/34132400

#SPJ3

I need help with this please help me

Answers

here’s your answer;
a.f(2)
given,
f(x)=5x-6
now,put the value of x=2,then we have
f(2)=5*2-6
=10-6
f(2)=4.

8w-2=12w+6 both answers

Answers

Answer:

your answer is -2

I hope it's helps you

Answer:

[tex]8w - 2 = 12w + 6 \\ 8w - 12w = 6 + 2 \\ - 4w = 8 \\ w = \frac{8}{ - 4} \\ w = - 2[/tex]

I hope it helped U

stay safe stay happy

Please help by September 7th.

Answers

Answer:

The first of the 3 numbers is 11.

Step-by-step explanation:

Well all three would be 11,12,13 because 11+12+13=36. First number is 11

can Someone Answer This Please! The Question Is on the Attached Photograph Below: Thanks!

Answers

Answer:

a^5÷a^3=a^5×a^-3=a^5+-3=a^2

Answer:

[tex]a) \: \: {a}^{2} [/tex]

[tex]b) \: \: c[/tex]

Step-by-step explanation:

[tex]a) \: \: {a}^{5} \div {a}^{3} \\ = (a \times a \times a \times a \times a)(a \times a \times a) \\ = a \times a \\ = {a}^{2} [/tex]

[tex]b) \: \: \frac{ {c}^{4} }{ {c}^{3} } \\ \frac{(c \times c \times c \times c)}{(c \times c \times c)} \\ = c[/tex]

Hope it is helpful.....

solve for y 7y-3y=8
plzzzz answer
will give brainliest!!!!

Answers

7y - 3y = 8
4y = 8
y = 8/4
y = 2
Hope this helps :)

Answer:

Step-by-step explanation:

7y-3y= 4y

4y=8

Here when its like this we need y by itself, so you take out 4 by dividing 8 by 4.

y= 2

hi can you help me ?​

Answers

Answer:

5,400

Step-by-step explanation:

do the exponent which is 10x10=100 then add it to 5,300

8. A chair lift at a ski resort travels along the
cable as shown.
AY
6
4
O
U
w
w
2
t
0
0 2
4 6 8 10 12 14 16 18
1 unit = 10 ft
How long is the cable? Round your answer
to the nearest whole foot.

Answers

Answer:  187 feet

This value is approximate.

==========================================================

Explanation:

The cable is connected by these key points

A = (0,3)B = (6,5)C = (12,4)D = (18,2)

Let's use the distance formula to find the length of segment AB.

[tex]A = (x_1,y_1) = (0,3)\\\\B = (x_2,y_2) = (6,5)\\\\d = \text{Distance from A to B} = \text{length of segment AB}\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(0-6)^2 + (3-5)^2}\\\\d = \sqrt{(-6)^2 + (-2)^2}\\\\d = \sqrt{36 + 4}\\\\d = \sqrt{40}\\\\d \approx 6.325\\\\[/tex]

Segment AB is roughly 6.325 units long. You could use the pythagorean theorem as an alternative route instead of the distance formula.

If you repeated this process for the other segment lengths, then you should get these other approximate lengths.

BC = 6.083CD = 6.325

Add up those three results:

AB+BC+CD = 6.325+6.083+6.325 = 18.733

The entire cable is roughly 18.733 units long.

Since 1 unit = 10 feet, we'll multiply that result by 10.

18.733*10 = 187.33 feet

This rounds to 187 feet which is the approximate length of the cable.

The length of the cable will be 187.2 feet long.

What is the distance between two points?

Let one point be (x, y) and another point be (h, k). Then the distance between the points will be

D² = (x - h)² + (y - k)²

From the diagram, the length between (0, 3) and (6, 5), (6, 5) and (12, 4), and (12, 4) and (18, 2) will be the length of the cable (L).

[tex]\rm L = \sqrt{(6 - 0)^2 + (5-3)^2} + \sqrt{(12 - 6)^2 + (4 - 5)^2} + \sqrt{(18 - 12)^2 + (2 - 4)^2}\\[/tex]

Simplify the equation, then we have

L = √40 + √37 + √40

L = 6.32 + 6.08 + 6.32

L = 18.72 units

L = 18.72 x 10

L = 187.2 ft

The length of the cable will be 187.2 feet long.

Learn more about the distance between two points here:

https://brainly.com/question/18296211

#SPJ2

Label where the adjacent, hypotenuse and the opposite is on this triangle please :)

Answers

Answer:

Here you go

Step-by-step explanation:

Simplify the expression: (-13.2) + 8.1

Answers

Step-by-step explanation:

(-13.2)+8.1

-13.2+8.2

Since, there are two signs i.e, '+' and '-' and the value of '-' is more

Therefore,

-5

I hope it helped U

I hope it helped Ustay safe stay happy

Pls help me with this.

Answers

Answer:

Step-by-step explanation:

Which rational number best describes Point A and Point B on the number line? *
(IMAGE BELOW)
-2.1
-2.75
-3.2
-3.25

Answers



-2.75 describes the best.

Which graph represents a line with a slope of -1/2 and a y-intercept equal to that of the line y =2/3x – 2?

Answers

Step-by-step explanation:

I guess option 4 is the correct answer.

HELP!! Use the properties of addition to simplify this expression. 6-8 +6f-2f​

Answers

Answer:

-2 + 4f

Step-by-step explanation:

6 - 8 + 6f - 2f​

2(3 - 4 + 3f -f)     [Distributive Property]

=> 2(-1 + 3f - f)

=> 2(-1 + 2f)

=> -2 + 4f

Answer:

4f-2

Step-by-step explan:

6-8+6f-2f

6-8+4f

4f-2


The number q is rational. Which statement about q- 10 is true

Answers

Answer:

you forgot to add the statements

R
5/3
S
Given right triangle QRS, what is the value of sin(30°)?
30°
5
V3
10
60°
o
o
V3
2
o

Answers

Answer:

1/2

Step-by-step explanation:

here ,

sin = p/h

or, sin (30⁰) = 5 /10

so sin (30⁰) = 1/2

The value of  sin(30°) given triangle QRS is; 1/2

Trigonometric Ratios

In trigonometric ratios, we know that;

sin θ = opposite/hypotenuse

cos θ = adjacent/hypotenuse

tan θ = opposite/adjacent

From the given triangle, we see that;

Opposite side to the angle 30° is 5 while hypotenuse is 10.

Thus;

sin 30° = 5/10

sin 30° = 1/2

Read more about trigonometric ratios at; https://brainly.com/question/13276558

12x15 in exponential notation

Answers

Answer:

5(6^2)

BRAINLIEST, PLEASE!

Step-by-step explanation:

12 x 15 = 180

180/5 = 36

=5(6^2)

y = 2/3x + 1

Solve for X and Y Intercept

Answers

Y intercept is 1 as it is the value output when X = 0 which can be solved simply by plugging 0 in for X and solving. The X Intercept is -1.5 as it is the value when Y=0 which can be solved by plugging 0 into the function for y and solving.

Answer:

x=(3/2,0)

y=   ( 0 , − 1 )

Step-by-step explanation:

Can someone please help me understand this problem thanks

Answers

Answer:

Step-by-step explanation:

So we know that it cost $600 in material to build the couch,

and then we know it cost $2000 extra to install and setup the couch,

so it cost 2,600 to build and install one couch,

So the first answer is 2,600

Now to build and install 15 of them we do 2,600 x 15 = $39,000

So it cost 2,600 to make and install one

And 39,000 to make and install 15.

But it only cost $600 to build one

and $9,000 to make 15 without installation fees.

What is the measure of ZW?

Select the best answer from the choices provided.
A.530
B. 74°
C.106°
D.116

Answers

Answer:

B) 74

Step-by-step explanation:

This is an icoseles triangle because of the 2 lines in each side. This makes <Y equal to <Z

Given:

<Y = <Z

All triangle angles add up to 180 so:

<W + <Y + <Z = 180

<W + 53 + 53 = 180

<W + 106 = 180

<W = 180 - 106

<W = 74

Other Questions
PLEASE HELP ASAP -- WITH THE WORKK50 points How many grams of Co, are produced when 3.60 g of Fe 0 reacts with excess CO?Fe2O3 + CO -> Fe + CO2 How did inventions and innovation contribute to change in America Divide 48 into the ratio of 2:6 ____ act as glue in sentences and join words or groups of words together. A. Prepositions. B. Interjections. C. Conjunctions. D. Nouns. What is the solution to the system of equations below?4x-2y=10y=-2x-5show your work! :) Help me please This has to be 20 letters long, but !!!!!Im overthinking this A car increases, then decreases, its speed. Which table could represent the speed of the car?A. A 2-column table with 5 rows. The first column is labeled time (minutes) with entries 5, 6, 7, 8, 9. The second column is labeled speed (miles per hour) with entries 45, 43, 41, 42, 43. B. A 2-column table with 5 rows. The first column is labeled time (minutes) with entries 5, 6, 7, 8, 9. The second column is labeled speed (miles per hour) with entries 45, 47, 49, 48, 47.C. A 2-column table with 5 rows. The first column is labeled time (minutes) with entries 5, 6, 7, 8, 9. The second column is labeled speed (miles per hour) with entries 45, 45, 45, 43, 41. D. A 2-column table with 5 rows. The first column is labeled time (minutes) with entries 5, 6, 7, 8, 9. The second column is labeled speed (miles per hour) with entries 45, 43, 41, 41, 41. why is the bantu education law interesting or important to know about today A motorboat travels 116 kilometers in 4 hours going upstream. It travels 164 kilometers going downstream in the same amount of time. What is the rate of theboat in still water and what is the rate of the current?Rate of the boat in still water:Rate of the current: explain any two measures to control social problems with examples. Circle the statement or statements that are not equal to 1.5/9 X 9/517/12-5/123/4 + 2/812/4 - 11/910 X 1/10 Which of the following is NOT. A property of salt in the ionic and covalent properties lab? is 1/3 and -1/3 parallel? 4. This case is based on what the concept of "equality" means. Whatare the conflicting points of view on this concept in this case? solve it and get 50 points Please help me Its my birthday!2. Janyce conjectured that in the visual pattern below, there would be 3n 1 smallsquares in the nth figureCan you disprove Janyces conjecture? True or false?Shops can mix refrigerants a) Explain different types of professions related to financial sector.