The product of −x2+5x−1 and a monomial is 4x2−20x+4.


What is the monomial?

Answers

Answer 1

Answer: M(x) = -4*x^0 = -4

Step-by-step explanation:

A monomial is a polynomial with only a term.

We can write a random monomial as:

M(x) = a*x^n

Where n is a natural number.

Then we know that:

(-x^2 + 5*x - 1)*a*x^n = 4*x^2 - 20*x + 4

Solving the left side, we get:

-a*x^(2 + n) + a*5*x^(1 + n) - a*1*x^n = 4*x^2 - 20*x + 4

First, we can see that the powers of x do not change after multiplying by the monomial, this means that we must have n = 0. Then we have:

-a*x^2 + a*5*x - a = 4*x^2 - 20*x + 4

The terms with equal powers of x must be equal between them, this means that:

-a*x^2 = 4*x^2

a*5*x = -20*x

-a = 4

From the last equation, (we also could get the same by solving the first or second) we get that a = -4

Then the monomial will be:

M(x) = -4*x^0 = -4


Related Questions

Solve the system of equation by the substitution method
y=5x+1
2y-6x=10

Answers

Answer:

x=2 and y=11

Step-by-step explanation:

Okay so subtitution method

y=5x+1

2y-6x=10

Plug in the y

2(5x+1

)-6x=10

10x+2-6x=10

4x+2=10

4x=8

x=2

now plug in for y

lets use first equation

y=5(2)+1

y=10+1

y=11

Brainliest please.

Solve the system of equations. (1 point) 5x + y = 9 3x + 2y = 4

Answers

X=2
Explanation:
-2(5x+y=9)=-10x-2y=-18
+3x+2y=4
Mark out the -2y and 2y and add the rest of the equation together
-7x=-14
divide -7 by both sides
X=2

- 6 (1+3)=
Propiedad distributiva

Answers

Hi! So what you’re gonna do is multiple everything in the parentheses by what is in front of the parentheses. In this case it is -6!

-6•1=-6
-6•3=-18

-6+-18=-24

Please give brainliest!

Principal=$100, Rate: 5% , Time: 3yrs, INTEREST?

Answers

Answer:

really sorry

Step-by-step explanation:

u

Answer:

Is this a question?

Step-by-step explanation:

If it is, I will answer in the comments if i can

Mrs. Baxter deposits 2000 into an account that earns 5% simple interest how much is Mrs. baxters investment worth after 8 years

Answers

I believe your answer is 2954.9

Answer:

2800

Step-by-step explanation:

Interest earned = 2000 × [tex]\frac{5}{100}[/tex] × 8

                          = 800

Total earned = 2000 + 800

                      = 2800

Given that you want to use Super Bulky weight of yarn with 7.5 inches per stitch, and your pattern calls for 119 stitches, what is the number of inches of yarn that you will need

Answers

Answer:

119×7.5 =892.5

you need 119 stitches that are each 7.5 inches so you would use that equation to get your answer

The rectangular coordinate system shows the graph of the equations in a system of equations. Use the graph to determine the number of solutions for the system. If the system has only one​ solution, give its coordinates.

Answers

Answer:

There are an infinite number of solutions.

Step-by-step explanation:

Can someone help me with these questions?

Answers

4.334, just use your calculator

The triangle with vertices L (-2,5), E (1,4), and (2,-2) is translated 4 units left, 3 units up, and then reflected over the line y=4 to form the image triangle L’E’D. Which vertex of the image is the greatest distance from the origin?

Answers

Answer:A

Step-by-step explanation:

The vertex of the image L'(6,8) is the greatest distance from the origin.

Explanation of how reflection across axis works?

When a graph is reflected along an axis, say the x-axis, then that leads the graph to go just on the opposite side of the axis as if we're seeing it in a mirror.

Since each point is equidistant from the axis of reflection as that of the image of that point. Thus, if we reflect a point (x,y) along the x-axis, then its x abscissa will stay the same but y ordinates will negate. Thus (x,y) turns to (x, -y)

Given that a triangle with vertices L (-2,5), E (1,4), and D (2,-2) is translated 4 units left, 3 units up, and then reflected over the line y=4 to form the image triangle L’E’D'.

If we subtract 4 from each x number and add 3 to each y number and then reflect over the line y=4 so then that would give each distance.

L (-2,5) --  L (-2 - 4,5 - 4 )

L'(6,8)

Resulting that L'(6,8) being the farthest from the origin (0,0)

Learn more about the reflection here;

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HELP ME PLEASE!!!!!
Marisa saved $3000 to take a bike trip from Florida to California. She estimated her expenses to be $40 per day. The cost of a ticket to fly back is $240. The inequality below can be used to find the maximum number of days (d) for which Marisa can pay the expenses on the bike trip.

40d + 240 ≤ 3000

Which inequality expresses the maximum number of days Marisa can pay the expenses for her bike trip?
d≤81
d≤75
d≤69
d≤40

Answers

Answer: d≤69

Step-by-step explanation:

You would plug in all the values for d into the inequality

40(81) + 240 ≤ 3000

40(81) + 240 = 3000

3240+240=3000

3480=3000 false

40(75) + 240 ≤ 3000

40(75) + 240 = 3000

3000+240=3000

3240=3000 false

40(69) + 240 ≤ 3000

40(69) + 240 = 3000

2760+240=3000

3000=3000 true

You don't need to try the last one because you already found this one!

The inequality expresses the maximum number of days Marisa can pay the expenses for her bike trip will be d ≤ 69.

What is inequality?

Inequality is defined as the relation which makes a non-equal comparison between two given functions.

Marisa saved $3000 to take a bike trip from Florida to California.

She estimated her expenses to be $40 per day.

The cost of a ticket to fly back is $240.

The inequality below can be used to find the maximum number of days (d) for which Marisa can pay the expenses on the bike trip.

40d + 240 ≤ 3000

Substitute all the values for d into the inequality

For, d≤81

40(81) + 240 ≤ 3000

40(81) + 240 = 3000

3240+240=3000

3480=3000 false

For, d≤75

40(75) + 240 ≤ 3000

40(75) + 240 = 3000

3000+240=3000

3240=3000 false

For, d≤69

40(69) + 240 ≤ 3000

40(69) + 240 = 3000

2760+240=3000

=3000

therefore, LHS = RHS

Hence, d ≤ 69 is true.

Learn more about inequality ;

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what ratio forms a proportion with 8/36 ?
a. 1/4
b.6/27
c.7/30
d.2/7

Answers

6/27 bc (6/27)=(8/36)= 216/216= they are the same or 2/9=6/27=8/36

The ratio 6/27 forms a proportion of 8/36 which is the correct answer that would be an option (B).

What is the proportion?

A mathematical assessment of two numbers is called a proportion. If two sets of provided numbers rise or fall in the same relation, then the ratios are said to be directly proportional to each other.

The ratio is given in the question:

8/36

The above ratio can be rewritten as:

(2 × 2 × 2)/(3 × 3 × 2 × 2)

Cancel out the same number in the ratio

2/(3 × 3)

2/9

As per option (B), we

6/27

The above ratio can be rewritten as:

(2 × 3)/(3 × 3 × 3)

2/(3 × 3)

2/9

Thus, the ratio 6/27 forms a proportion of 8/36.

Hence, the correct answer would be option (B).

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If you make $558.75 Gross for 37.25 hours worked, how much do you get paid
hourly?

Answers

Answer:  15 dollars an hour

To get this answer, divide the total gross amount over the number of hours worked.

558.75/37.25 = 15

Note: gross pay is before taxes and other deductions take place

THIS ONE PLEASE IM STUMPED

Answers

It’s C intersecting lines

PLSSSSS HELPPPPPPP ASAPPPPPP!!!! I WILLL GIVE BRAINLIEST!!!! PLSSSSS HELPPPPPPP ASAPPPPPP!!!! I WILLL GIVE BRAINLIEST!!!!

Answers

Answer:

(4, -1)

Step-by-step explanation:

If you plug in 4 and -1 to both of the functions, they will both "work". They output the correct number and are equal.

Answer:

The first option (4, -1)

Step-by-step explanation:

The high school swim team needs new equipment. They want to spend no more than $300. Swim caps, x ,cost $5 and kick boards, y ,cost $10.

What could NOT be a solution to this inequality? Let x represent swim caps and y represent kick boards.
A. (60,0)
B. (0,30)
C. (10,20)
D. (50,20)

Answers

C should not be a solution

A hot air balloon was at a height of 2180 feet It designated at a rate of 150 feet per minute for 6 minutes. Find it’s height

Answers

2,180 - 150 • m

2,180- 150 • 6 =
2180- 900=m
1280=m

Omar shops for a new television. He finds the same television at two different stores priced at $259.99. One store offers a mail-in rebate of $75. At a different store, the television is 30% off the regular price. At which store will Omar receive the better deal? Why?

Answers

Answer:

At the second store. Because 30% Of 259.99 is more than 75$.

Step-by-step explanation:

store 1.

259.99 - 75 = 184.90

stode 2.

259.99 * 30% = 78

259.99 - 78 = 181.99


NEED HELP ASAP! Will give brainliest!
(Do not just take points or I will report you.)

Sam and Bryan meet at the gym. Sam travels 6 miles farther to the gym than Bryan. Three times the distance Bryan travels is 12
miles. If x represents the distance traveled by Bryan to the gym, which statements are true when determining the distance traveled
by each?


A) 3x =12

B) X+6 =10

C) Sam travels 3 miles,

D) Sam travels 10 miles.

E) Bryan travels 13 miles.

Answers

Answer:A B and D

Step-by-step explanation:

USA TEST PREP.

Order from least to greatest .357 , 1.02, .80 , .002, .05 , .40

Answers

Answer:

least to greatest:

.002

.05

.357

.40

.80

1.02

Step-by-step explanation:

Answer:

.002, .05, .357, .40, .80, 1.02

Step-by-step explanation:

need asap!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

I thinks it’s the 2nd answer:)!
good luck on your math diagnostic the answer is 33.25

i feel like this should be easy but idk. This needs to be in order from greatest to least. I know that R is 63, but the options are

RS, ST, RT,
RT, ST, RS
RS, RT, ST
ST, RT, RS

i don’t understand why they are like “ST” instead of a single angle? I really need an explanation for this, i have a quiz tomorrow thank you

Answers

Answer:

RS,RT,ST

Step-by-step explanation:

63+60=123 , 63+57=120 ,60+57=117

Essential Question 7th Grade
How can proportional reasoning help solve a problem?

Answers

Answer:

Proportional reasoning compares ratios to answer questions. We can use proportional reasoning to solve some questions directly, such as which size of laundry detergent is the cheapest per load, or what the dimensions of the model car should be.

Step-by-step explanation:

I got it off of the internet

Does anybody know what the answer to this question is?
If you know, please tell me. I'm really in a hurry.

Answers

Answer:

28x−6

Step-by-step explanation:

Okay 2 sides of equal lenght so

2(6x-4)+2(8x+1)=

12x-8+16x+2

28x-6

What is the average speed in miles per hour if a driver has traveled 8 miles in 10 minutes?

Answers

Answer:

48 MPH

Step-by-step explanation:

10 mins times 6= 60 mins which is an hour

8 miles times 6= 48 miles

This means the average is 48 MPH

On Wednesday the farmers at the Clay Farm picked 4 1/5 barrels of tomatoes. Thursday, the farmers picked 2 3/4 times as many tomatoes as on Wednesday. How many barrels of tomatoes did the farmers pick on Thursday?

Answers

Answer:

okkkkkkkkkkkkkkkkkkkkkkkkkkkkk

Solve for x and y. Round to the nearest tenth.

Answers

x = 10

the two sides are congruent and you know that by finding the other angle 90+45= 135
180-135=45

y= 14.1

10^2+10^2=c^2
100+100=c^2
200=c^2
14.142.. =c


What is this expression in words ?

Answers

Answer :

five x plus ten

Sanda withdrew $14.50 from his bank account for 6 weeks. What was the total change in his bank account after six weeks?

Answers

Answer:

87 is what he took out after six weeks is that it or?

HURRY ILL MARK AS BRAINLIEST!! PLEASE HELP

Answers

Answer:

A&C

Step-by-step explanation:

Find A if B=30.6°, b=7.42 in, and c=4.45

Answers

The answer to this is A = 131.6 degrees
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