Write a polynomial function rule for g(x)+f(x)


Consider the polynomial function
f(x)=7x^3+x2-4x+10
g(x)=c^2-5

Answers

Answer 1

Given:

Consider the given polynomials are:

[tex]f(x)=7x^3+x^2-4x+10[/tex]

[tex]g(x)=x^2-5[/tex]

To find:

The polynomial function rule for [tex]g(x)+f(x)[/tex].

Solution:

We need to add both functions to get [tex]g(x)+f(x)[/tex].

[tex]g(x)+f(x)=(x^2-5)+(7x^3+x^2-4x+10)[/tex]

[tex]g(x)+f(x)=x^2-5+7x^3+x^2-4x+10[/tex]

On combining like terms, we get

[tex]g(x)+f(x)=7x^3+(x^2+x^2)-4x+(10-5)[/tex]

[tex]g(x)+f(x)=7x^3+2x^2-4x+5[/tex]

Therefore, the required function is [tex]g(x)+f(x)=7x^3+2x^2-4x+5[/tex].


Related Questions

−|−37| = 37 true or false

Answers

Answer:

false

Step-by-step explanation:

The value of |−37| is 37

however, since the negative sign is in front of the absolute value,

−|−37| = -37

Therefore,

−|−37| does not equal 37

The given statement −|−37| = 37 is false.

Given that, −|−37| = 37.

We need to whether the given statement is true or false.

What is an absolute value?

The absolute value of a variable x is represented by |x| which is pronounced as 'Mod x' or 'Modulus of x'. 'Modulus' is a Latin word, which means 'measure'. Absolute value is commonly referred to as numeric value or magnitude. The absolute value represents only the numeric value and does not include the sign of the numeric value. The modulus of any vector quantity is always taken as positive and is its absolute value.

Now, |−37|=37

So, -|−37|=-37

Therefore, the given statement is false.

To learn more about an absolute value visit:

https://brainly.com/question/1301718.

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Help finding area of this

Answers

The answer is 62m, sorry I don’t have time to explain.

1) (1/2)/(2)=

2) (3/4)/(1/5)=

3) (2 1/2)/( 5 3/5)=

Answers

Answer:

if you are dividing the 2 fractions the answers are below

Step-by-step explanation:

1. 0.24

2. 3.75

3. 0.44642857

Select all the ordered pair that are solutions to the system

Answers

0,-1 works . Not sure about the rest- if it’s meaning anything within the shaded area, everything but 3,0 and -3,-2 works.

What is the image point of (-1, 1) after a translation right 2 units and
down 1 unit?

Answers

1,0 should be right :)

Hi please help thank you so much

Answers

Answer:

23.09 ft

Step-by-step explanation:

tan = [tex]\frac{opposite}{hypotenuse}[/tex]

⇒ tan 13 = [tex]\frac{x}{100}[/tex]

tan of 13 is 0.23086

⇒ 0.23086 = [tex]\frac{x}{100}[/tex]

multiply each side by 100

⇒ 0.23086 x 100 = [tex]\frac{x}{100}[/tex] x 100

solve:

⇒ 23.0868

round to the nearest hundreth:

⇒ 23.09

A car is 160 inches long.

A truck is 10% longer than the car.

How long is the truck?

Answers

Answer:

im pretty sure its 170 inches long

Step-by-step explanation:

Answer:

176 Inches long.

Step-by-step explanation:

160 multiplied by .1 gets you 10% then add 160 to 16 to get 176.

Show your work!
If the length of a rectangle in terms of x is x² + 2x – 3, and its width is 2x2 + 3x + 5,
what is the perimeter of this rectangle? Don't leave any spaces
in
your
solutions.
Perimeter: units

Answers

Answer:

answer is 20+12x^6

Step-by-step explanation:

Multiply x^2+2x-3 by 2

length equals 2x^4+4x-6

simplify. 6x^5-6

multiply 2x2+3x+5 by 2

width equals 4x4+6x+10

simplify. 16+6x+10

simplify again. 26+6x

add length and width- 20+12x^6

Suppose that 29\%29%29, percent of undergraduates at a large university are involved in a campus organization. The administration plans to take an SRS of 100100100 undergraduates from the population of over 20{,}00020,00020, comma, 000 undergraduate students at the school to see what proportion of students sampled are involved in a campus organization.

Answers

Answer:

μ  p ^ =0.29

σ  p ^  =  Square root[    ( (0.29)(0.71) )/100   ]

 

Step-by-step explanation:

The mean of the sampling distribution of a sample proportion is equal to the population proportion.

μ p ^ =p

The population proportion reported is 29%, so p=0.29p.

\mu_{\hat p}=p=0.29μ  

μ p ^ = 0.29

Since σ  p hat = sqare root [ ( p(1-p) )/ n]

After subsitution we get σ  p ^  =  Square root[    ( (0.29)(0.71) )/100   ]

I need help with this question

Answers

Answer:

Part A

D

Part B

76

Step-by-step explanation:

I don't know how to explain it

A circle is drawn within a square as shown.

What is the best approximation for the area of the shaded region?

Use 3.14 to approximate pi.
One side is marked: 28 inches.

A. 168.56 in²
B. 696.08 in²
C. 740.04 in²


I will mark brainliest plz help!
D. 1677.76 in²

Answers

Answer:

hi hi hi

Step-by-step explanation:

hi hi

Answer:

okay since there isn't a picture to work with, im going to assume that there is a circle inscribed in a square with a side length of 28, and all the sides of the square are tangent to the circle.

So if you need the area of just the circle, that is 615.75 in^2

If you need the area of the square, but not including the circle 168.25 in^2

And if you need the area of the whole square 784 in^2

Step-by-step explanation:

It is most likely the second one, but answer based what you see in the diagram.

somebody please help im giving 20 points and a brainliest !

Answers

Answer:

y = 1500(1.079)^t

Step-by-step explanation:

Here, we want to write an exponential function

Mathematically, we have this generally as;

FV = IV( 1 + r)^t

where FV is future value which is y in this case

IV is the initial value which is 1,500 kn^2 in this case

r is the rate of change which is 7.9%

7.9/100 = 0.079

t is the time difference

so we have the equation as;

y = 1500(1 + 0.079)^t

y = 1500(1.079)^t

You have a bucket with 100 gallons of water in it. That bucket is losing water at a rate of 7 gallons per minute. How much water
have you lost after 8 minutes?
How much water is left in the bucket at this time?

Answers

8×7=56

then subtract it from 100-56=44 so you lost 56 gallons in 8 minutes and there is 44 left.

If volunteers set up a water station every 0.7 km, including one at the finish line, how many stations will they have?

Answers

The question is incomplete:

The total distance of a race is 18.9 km.

If volunteers set up a water station every 0.7 km, including one at the finish line, how many stations will they have?

Answer:

They will have 27 stations.

Step-by-step explanation:

In order to find the answer with the information provided, you have to divide the total distance of the race by 0.7 that is the distance at which the volunteers will set up the water stations:

18.9/0.7= 27

According to this, the answer is that they will have 27 stations.

PLSSS HELP GIVING 5 POINTS PLUS BRAINLIEST
The Ridgeport school district collected data about class size in the district. The table shows the class sizes for five randomly selected kindergarten and seventh-grade classes. Number of students in randomly selected class Mean Mean absolute deviation 19 1.2 Kindergarten 17, 18, 19, 21, 20 29 2.4 25, 30.27, 29, 34 Seventh grade Based on these data, which statement is true? O A. The recommended number of students in a kindergarten class is 19. O B. The average size of a seventh-grade class is larger but varies less than that of a kindergarten class. O C. The average size of a seventh-grade class is larger and varies more than that of a kindergarten class. O D. Every seventh-grade class has 10 more students than a kindergarten class.​

Answers

Answer:The answer should be D based on the data given.

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Give the center and radius of the circle x2+y2=25
A) (2,3)r=5
B) (0,0)r=5
C) (0,0)r=25
D) (3,2)r=25

Answers

Answer:

B) (0,0); r=5

Step-by-step explanation:

A circle's standard form is (x-h)^2+(y-k)^2=r^2

The center is (h, k) and the radius is r.

So, here the center would be (0, 0) and the radius would be square root 25, or 5.

Answer:

(0,0) r=5

Step-by-step explanation:

The guy above me

Help me plz and I’ll give brainliest and it’s due in 20 mins

Answers

Answer:

2. c

3.

a. no

b. yes

c. yes

d. no

e. yes

I think this is right

4.

Part A;

5.4-3.1=D

Part B;

4.9+3.1=t

Part C:

1. 2.3

2. 8

I hope this helps!!!

Step-by-step explanation:

HEEELP PLEASE ASAP!! Put the following equation of a line into slope-intercept form, simplifying all fractions.
4x+3y=-6

Answers

Answer:

(edit) wait sorry i forgot slope-intercept form

Step-by-step explanation:

the answer should be y = - 4/3x - 2

-10/3
Would be the answer because th

Simplify cos 0 tan 0 a. cos 0 b. sin 0 c. 1 d. -1

Answers

[tex] \sf \huge \purple{SIMPLIFY}[/tex]

[tex] \sf{ \cos(0) \tan(0)}[/tex]

Convert tan to a fraction of sin and cos

[tex] \cos(0) \times \frac{ \sin(0) }{ \cos(0) } [/tex]

Do the reduction for the same expression

[tex] \sf \pink{ \sin(0)}[/tex]

The required expression is sin0°

What is an expression?

Expressions in maths are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Given that, Simplify cos0° × tan0°

We know,

cos0° = 1

tan0° = 0

cos0° × tan0° = 0 × 1 = 0

Also, sin0° = 0

Therefore, cos0° × tan0° = sin0°

Hence, the correct option is sin0°

For more references in expression, click;

https://brainly.com/question/14083225

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I need help now plzzzz

Answers

Step-by-step explanation:

I think Option A is your answer ☺️☺️☺️

Option C is your answer
C:6

State if the triangles in each pair are similar. If so, complete the similarity statement.

Answers

Answer:

B

Step-by-step explanation:

Set up a proportion and see if it is true:

[tex]\frac{12}{8} =\frac{27}{18} \\\frac{3}{2} =\frac{3}{2}[/tex]

True, so they are similar.

The similarity statement would be QRS ~ QED

So B is the answer

I’m slow so what’s the answer to these?

Answers

Answer:

0, -8, 2

Step-by-step explanation:

Opposite of 0 is still 0.

Opposite of 8 = -8

Opposite of the opposite of 2: -2 is the opposite, then the opposite of opposite is -(-2) = 2

hey....lol i need help on this

Answers

W = 32 blaaaa blaaaaaaaaa blaaaaa

Answer:

W = 32

Step-by-step explanation:

lol.

Jasmine always carries cash. Her friends think she should get a credit card. Which reasons show the benefits of having a credit card?

******Select all that apply.******

helps save money
safer
more convenient
free to use
rewards programs

Answers

Answer:

A and b

Step-by-step explanation:

it could also be c but it's definitely a and b

Answer:

Might be:

Safer

Rewards programs

More convenient

Online shopping

Step-by-step explanation:

The CB radio of a trucker covers the circular area of (7,4). Find the equation of that circle. Give your answer in both standard and general form.

Answers

Answer:

Standard form is - (x - 7)² + (y - 4)² = 5²

General form is - x² + y² - 14x - 8y + 40 = 0

Step-by-step explanation:

Given - The CB radio of a trucker covers the circular area of (7,4).

             Find the equation of that circle.

To find - Find the equation of that circle. Give your answer in both

              standard and general form.

Proof -

Given that,

Center of CB radio = (7, 4)

Point on the Boundary = (10, 0)

Now,

We know that radius, r is

r = [tex]\sqrt{(7-10)^{2} + (4-0)^{2} }[/tex]

 = [tex]\sqrt{(-3)^{2} + 4^{2} }[/tex]

 = [tex]\sqrt{9 + 16}[/tex]

 = [tex]\sqrt{25} = 5[/tex]

⇒r = 5

∴ we get

Standard form is - (x - 7)² + (y - 4)² = 5²

General form is -

x² + 7² - 2·7·x + y² + 4² - 2·4·y = 25

⇒x² + 49 - 14x + y² + 16 - 8y = 25

⇒x² + 65 - 14x + y²  - 8y = 25

⇒x² + 65 - 14x + y²  - 8y - 25 = 0

⇒x² - 14x + y²  - 8y + 40 = 0

So, the general form is -

x² + y² - 14x - 8y + 40 = 0

IN YOUR OWN WORDS, describe how to find the mean of a set of numbers.

Answers

Answer:

just add all the number and divide them .

is P= {a, b} then the number of subsets of P is what? ​

Answers

Answer:

4

Step-by-step explanation:

The number of subsets of P simply refers to the power of the sets.

P(P) = 2^n(P)

where P(P) is the power of the set P

n(P) is the cardinality of set P

P(P) = 2^2 = 4

Calcula el volumen, en centímetros cúbicos, de una habitación que tiene 5 m de largo, 4 m de ancho y 2.5 m de alto. V=50m ^3

Answers

Answer:

the volume is 50m^3

Step-by-step explanation:

The computation of the volume of the room is shown below:

As we know that

The Volume of the room = length × width × height

volume = 5m × 4m × 2.5m

= 50m^3  

Hence, the volume is 50m^3

you play video games for 20 minutes.You lose 80 points.What integer represent ur change in points per minutes?

Answers

Answer:

4

Step-by-step explanation:

80 devided by 20

which of the following are solutions to the equation below?
check all that apply.
x^2+3x-18=0
A. 6
B. -3
C. -6
D. 18
E. 3

Answers

the correct solutions to this equation are E and C
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