Let f(y) = y^4 - 3y^3 + y - 3 and g(y) = y^3 + 7y^2 - 2. Find f(y) + g(y). Write your answer as a polynomial with terms of decreasing degree.

Answers

Answer 1
Answer:   y^4 - 2y^3 + 7y^2 + y - 5

Work Shown:

h(y) = f(y) + g(y)

h(y) = (y^4 - 3y^3 + y - 3) + (y^3 + 7y^2 - 2)  

h(y) = y^4 - 3y^3 + y - 3 + y^3 + 7y^2 - 2  

h(y) = y^4 + (-3y^3+y^3) + 7y^2 + y + (-3 - 2)

h(y) = y^4 - 2y^3 + 7y^2 + y - 5

This is a fourth degree polynomial (aka quartic).


Related Questions

an oven has a maximum temperature of 220°c.what will it be in 2 days time​

Answers

Answer:

Well I assume 220ºC.

Step-by-step explanation:

That is the MAXIMUM temperature of the oven

Write an algebraic expression for the verbal expression: "7 times the sum of a squared and b minus 4 times the sum of a squared and b".​

Answers

7x(b2-4xb2) the b2 meaning b squared

What is the temperature change between the greatest value and the least value?
-25°F, 5°F, 60°F, -45°F, -10°F, 90°F
WILL BR MARKED BEST

Answers

The temperature change between the highest and lowest.
Highest- 90 degrees
Lowest- -45 degrees

-45 to 0 = 45 units
0 to 90 = 90 units
45+90 units = 130

ANSWER 130

Write the equation of the line in slope intercept form

Slope =−1/5 Y-Intercept =−3

Answers

Answer:

y = mx + c ......( general form)

y = -1/5X - 3

Identify which graph below contains the coordinate points (–3, 4),(–2, 0), and (0, –8). Select all that apply.

Answers

Answer:

A, C, D

Step-by-step explanation:

All of the plot curves contain (0, -8) and (-2, 0)

B doe NOT contain (-3, 4), though the plot lines seem kind of fuzzy and other curves may miss, but not by much.

Answer:

Graph A , B, and D

Step by-step explanation:

All the points are one these three graphs.

help me please !!!!!!

KS3 YEAR 8 maths!


super confused ‍♀️‍♀️

Answers

Answer:

9:29pm

Step-by-step explanation:

There are m marbles in a bag. Write an expression for the number of marbles in the bag when 4 marbles are taken away​

Answers

Answer:

m-4

Step-by-step explanation:

4 marbles taken away = -4 marbles

This morning, Megan and her dad had smoothies for breakfast. Megan made her smoothie with 1 cup of mango and 3 cups of strawberries. Her dad made a giant smoothie with 2 cups of mango and 6 cups of strawberries. Did the smoothies have the same ratio of mango to strawberries?

Answers

Answer:

Yes.

Step-by-step explanation:

An unopened bag of gummy bears weighs 2 1/3 ounces. Drayven has 3/4 of a bag of gummy bears and Akila has 2/3 of a bag. Who has more? If they put their bags together, would they have more than one bag? Explain your answer.

Answers

Answer:

Drayven has more

Step-by-step explanation:

If you look at the fractions through a drawing you would see that my claim is correct.

These points are linear.
Find the slope.
M=?

Answers

Answer:

Step-by-step explanation:

(5, 0) (6, 8)

(8 - 0)/(6 - 5) = 8/1 = 8

An eight-sided dice numbered from 1 to 8 is rolled 80 times to determine whether it is fair, a If the dice is fair, how many of each number would you expect to get?

Answers

Answer:

10 times for each number

Step-by-step explanation:

:)

Answer:

10

Step-by-step explanation:

if the dice is fair, the sides will land one time every 8, so if its rolled 80 time, and it was equal 10 would be your answer.

Consider the set {7,8,9; the elements of this set include?
a. 7,8,9
b. 9, 10, 11
c. none of these

Answers

Answer:

The correct answer is "Option A".

Step-by-step explanation:

Hope this helps :)

The percent of Ivy Tech students receiving financial aid in 2018 was 82%, this was a 9.8% relative increase from 2017. What would the percent of students receiving aid in 2017 have been?

Answers

In 2017 it would have been 72.2%

dont sound so smart doing it she will know ​

Answers

Jeremy is incorrect because a negative plus a negative will always be a negative.

Need all of these answered please

Answers

alternate entireror angles are congurent by this rule you can find your answer by solving the equation

How do I do this math !

Answers

Answer:

The equation of a straight line is always

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

The constant m always refers to the slope, and the constant b always refers to the y-intercept.

Simply substitute the numbers in:

[tex]y=-\frac{1}{2}x+3[/tex]

There's your equation!

At the store the ratio of books sold to movies sold was 4:5.For every_books sold there were _ movies sold.

Answers

Answer:

At the store the ratio of books sold to movies sold was 4:5.For every 4 books sold there were 5 movies sold.

Step-by-step explanation:

7. Karen opened a savings account with $500. The money earns 0.2% interest per month. If she does not make any withdraws or any more deposits, approximately how much money will Karen have in the account after two years?

(North Carolina Math 2)

A. $502 B. $512 C. $515 D. $525

Answers

Answer:

The answer is A

Step-by-step explanation:

0.2% of 500 is 1 so in two year she would have 502$

The answer would be A. 502

Which number should be multiplied by 45 so that it will have 3 nct prime factors?​

Answers

Answer:

2

Step-by-step explanation:

A rectangular field is six times as long as it is wide. If the perimeter of the field is 1190 feet, what are the dimensions of the field?

A) Write an equation you can use to answer the given question. Let w be the width of the field. Do not solve the equation yet. The equation is _______

(Make sure you use the correct variable.)

B) Use your equation to find the dimensions of the field.

The width of the field is ____________ feet.

The length of the field is ____________ feet.

Answers

Let width be xLength=6x

ATQ

[tex]\\ \tt\longmapsto 2(x+6x)=1190[/tex]

[tex]\\ \tt\longmapsto 2(7x)=1190[/tex]

[tex]\\ \tt\longmapsto 7x=595[/tex]

[tex]\\ \tt\longmapsto x=595/7[/tex]

[tex]\\ \tt\longmapsto x=85[/tex]

Length=6(85)=510ftWidth=85ft

How many solutions for
55l=50l+5

Answers

Answer:

Zero

Step-by-step explanation:

The question is impossible to answer. 501+5 does not equal 551, 501+5 equals 506.

Question 1 of 10
f (2) = y + 10. Find the inverse of f(x).
O A f-'(x) = (x + 10)
O B. f-1(x) = 73 + 10
O C. f-1(x) = (x – 10)3
O D. f-'(x) = x3 – 10

Answers

Option D

step by step explanation:

[tex] \sf f(x) = \sqrt[3]{x + 10} \\ \sf y = \sqrt[3]{x + 10} \\ \sf y = \sqrt[3]{y + 10} \\ \sf y = {x}^{3} - 10 \\ \sf {f}^{ - 1} (x) = {x}^{3} - 10[/tex]

The inverse of the given function is represented as f' ( x ) = x³ - 10

What is Function Rule?

A function is a mathematical object that takes an input (or several inputs) and produces an output. The rule of a function describes how the input is transformed to produce the output. It can be written using mathematical notation, words, or a combination of both.

Functions are used in many areas of mathematics, science, engineering, and other fields to model relationships between variables, make predictions, and solve problems.

Given data ,

Let the function be represented as A

Now , the value of A is

Now , the function is depicted as f ( x ) = ∛( x + 10 )    

Simplifying results in

The function's inverse is obtained by swapping the x and y variables.

So ,

y = ∛( x + 10 )

x = ∛( y + 10 )

On solving for y , we get

y = x³ - 10

And , the inverse is f' ( x ) = x³ - 10

The function is therefore f' (x) = x³ - 10.

Go here to read more about the function rule.

https://brainly.com/question/3760195

#SPJ7

What would you do if you found out that you wrote a cheque of $78 but it was recorded as $98 in check register?

Answers

Answer:

I will cryy because I only want to write 78 why it recorded as 98

Natasha earns $425 a week. How many weeks does it take before she has
earned more than $12, 000

Answers

Answer:

29

Step-by-step explanation:

12000/425

plz answer this with complete process plzzz I will give you brainlist ..........​

Answers

Answer:

Step-by-step explanation:

Needs a picture to be solved, please put one.

Answer:

i know

Step-by-step explanation:

I know have a amazing day

Please help me and give explanation on how you got your answer if not that’s fine

Answers

D

The reason is because well first of the plotted dot is filled in with means that x needs to be less then or equal too so to represent that you put the line under the less then symbol and none of the other options have that exact symbol

The arrow is going to the left this is stating that x needs to be less than -2

If it’s wrong then I apologize because I don’t really remember this

Pls help this is timed and I don’t understand

Answers

Answer:

178

Step-by-step explanation:

All right!!

Line l is parellel to line m.

So if r is 91 then we can infer that s helps it make a 180 degree angle/straight line.

So 180 - 91 = 89

s = 89

If the two lines are parallel then s = u because of inner angles/outer angles stuff.

If s=u then u = 89 as well.

And because of vertical angles, t =u so t = 89.

Now the question asks to find t + u, so t + u = 89 + 89 = 178

Hope that helps!!

A waiter carried 6 baskets with 5 dinner rolls in each
basket. How many dinner rolls did he carry? Show
your work.


Answers

Answer:

30 dinner rolls

Step-by-step explanation:

There are 5 dinner rolls per basket and there are 6 baskets

So there are 6 groups of 5:

5 + 5 + 5 + 5 + 5 + 5

In other words, multiply 5 and 6

5 dinner rolls x 6 = 30 dinner rolls

5x6=30

Each basket has five rolls so you have to do 5+5+5+5+5+5 which equals 30

Question
Given that the market basket for gardening was $\$131.17$ last year and $\$131.96$ this year, what was the inflation rate?
(Round your answer to the nearest hundredth of a percent.)

Answers

Answer:

0.006%

Step-by-step explanation:

minused old price from the new one and then divided the answer by the old price

Solve the Quadratic

Solve for x. Write in simplified radical form.

2x^2 + 3x – 20 = 0

Solution 1:
Solution 2:

Answers

~quadratic equation

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

2x² + 3x - 20 = 0

= a + b = 3

= ab = 2(-20) = -40

= a = -5

= b = 8

= (2x² - 5x) + (8x - 20)

= x(2x - 5) + 4(2x - 5)

= (2x - 5) (x + 4)

= Solution 1 : x = 5/2 ✔️

Solution 2 : x = -4 ✔️

~ nice to help you ^^

[tex]2x^2 +3x -20 =0\\\\\\\implies x = \dfrac{-3 \pm \sqrt{(-3)^2 - 4 \cdot 2 \cdot (-20)}}{2 \cdot 2}\\\\\\\implies x = \dfrac{-3 \pm \sqrt{169}}{4}\\\\\\\implies x = \dfrac{-3\pm 13} 4 \\\\\\\text{Hence} \\\\x = \dfrac{-3+ 13}{4} = \dfrac{10} 4 = \dfrac{5}2\\\\\text{Or}\\\\x= \dfrac{-3-13}4 = -\dfrac{16}4 =-4[/tex]

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