adding and subtracting polynomials

(-10x²+9) + (8x² - 5x + 7)​

Answers

Answer 1

Answer:

2x exponent 2-5x+16

Step-by-step explanation:

Remove Parentheses

-10x *exponent 2* + 9 + 8x *exponent 2* - 5x +7

Group like terms

-10x *exponent 2* +9 + 8x *exponent 2* -5x + 9+7

Add similar Elements: -10x *exponent 2* + 8x *exponent 2* = 2x *exponent 2*

-2x*exponent 2* -5x+9+7

Add the numbers 9 + 7= 16

2x *exponent 2* - 5x + 16 ANSWER


Related Questions

write the fraction whole
diameter is 7 and numerator is 4​

Answers

Answer:

[tex]\dfrac{4}{7}[/tex]

Step-by-step explanation:

A fraction can be written as :

[tex]F=\dfrac{x}{y}[/tex]

Where

x is numerator and y is denominator

We need to write a fraction for denominator 7 and numerator 4.

Substitute the values,

[tex]F=\dfrac{4}{7}[/tex]

Hence, the fraction is equal to [tex]\dfrac{4}{7}[/tex].

helpppppp ill give brainliest answer if you know

Answers

Answer: 280

Step-by-step explanation: all you have to do is multiply one of the numbers by another one and than multiply that number by the final number

What is the area of the object above?
A.
158 sq cm
B.
94 sq cm
C.
142 sq cm
D.
102 sq cm

Answers

Answer:

102cm2

Step-by-step explanation:

Split the shape into two rectangles:

A. 4 x 8 = 32cm2

B. 7 x 10 = 70cm2

70 + 32 = 102cm2

The student body President of a high school claims to know the names of at least 1000 of the 1800 students at the school. To test this claim, the Student Government Advisor randomly selects 100 students from the school and asks the President to name each one. The President is able to correctly name 46 of the students. What would be the 99% confidence interval for p in this case?

Answers

Answer:

The 99% confidence interval for p in this case is (0.3317, 0.5883).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

Randomly selects 100 students from the school and asks the President to name each one. The President is able to correctly name 46 of the students.

This means that:

[tex]n = 100, \pi = \frac{46}{100} = 0.46[/tex]

99% confidence level

So [tex]\alpha = 0.01[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.01}{2} = 0.995[/tex], so [tex]Z = 2.575[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.46 - 2.575\sqrt{\frac{0.46*0.54}{100}} = 0.3317[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.46 + 2.575\sqrt{\frac{0.46*0.54}{100}} = 0.5883[/tex]

The 99% confidence interval for p in this case is (0.3317, 0.5883).

Please help No tiny links please I will give points plz help

Answers

Not sure but this app is totally free 100% it’s called photomath it reads problems fast

Which of the following shows a gain of $430?

A. $4.30
B. $430
C. -$430
D.-$4.30

Answers

Answer:

a because it's a positive number

B because that is the only number which is positive and 430

If the perimeter of A is 36ft and the perimeter of B is 48 ft, what is the perimeter of square C?

Answers

Answer:

64

Step-by-step explanation

48/36=4/3

36x4/3=48 so...

48x4/3=64

Answer:

64

Step-by-step explanation:

Mark is six years older than his brother Sam. The sum of their ages is 30. Let a be Sam's age. Set
up an equation using the information given.

Answers

LET,
The present age of Sam be a
& the present age of mark be b
According to question,
6(a+b)=30 (now solve it !)

Hope this helps !

Please mark it as the brainliest <3

Answer:

(m+6)+m=30

Step-by-step explanation:

order the rational numbers from least to greatest. -3/4. -0.85. 0.55. 1/4. -0.9. -1/2​

Answers

Answer:

-0.9, -0.85, -3/4, -1/2, 1/4, 0.55

Step-by-step explanation:

Answer:

-0/9 ,-1/2 ,-1/4 , 0.55, -0.85

Hi I need help pls
Due in 10 mins

Answers

Step-by-step explanation:

I'm sorry

i dont know this particular question

A grain of sand with a diameter of
0.06 millimeter has a mass of approximately
3.0 x 10-13 gram. How is the mass of a grain
of sand expressed using standard notation?

Answers

Answer:

Mathematics

College

A grain of sand with a diameter of what

Step-by-step explanation:

tmi,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,

What is the slope of the line through (3,2) and (-1-4).​

Answers

The two coordinate points given are (3,2) and (-1,-4). The slope of the formed line is 3/2.

10. Which of the following could be the lengths of the three sides of a triangle?
A 1 cm, 2 cm, 3 cm
B. 3 in., 3 in., 7 in.
C. 4ft, 8 ft, 12 ft
D. 5 cm, 7 cm, 9 cm

Answers

Answer: D

Step-by-step explanation:

the sum of any two sides of a triangle must be greater than the third side.

5 + 7 = 12

12 > 9

1. Xian gets 95% of the Math test correctly which is 38. How many items does the test have?
Answer:
If the
an hold 16 ounces, how many ounces​

Answers

________________________________

38 ÷ 95 × 100= 40There Is 40 Questions In Total

________________________________

Answer:

40

[tex]38 \div 95 \times 100\%[/tex]

what is 46 converted from ft and in​

Answers

Answer:

552 inches

Step-by-step explanation:

4. A square has a perimeter of 28 units, an
ared of 49 units, and sides that are either
horizontal or vertical. The vertices are all
located in the same quadrant where the x
value is negative. What are the possible
coordinates of the square?

Answers

Answer:

7

Step-by-step explanation:

perimeter - 7+7+7+7=28

area - 7×7 = 49

it's a square so all sides are the same length.

area is length times width

perimeter is all sides added together.

NEED HELP FOR THIS QUESTION
I want to buy some Botswana pulas and the exchange rate is 8.25 BWP = £1 if I buy them abroad using a credit card or 8.5 BWP = £1 for a cash transaction at a Bureau de Change. The credit card company will charge me 2.3% commission on a credit card transaction whereas a Bureau de Change charges 2% commission plus a fee of £3.

Write down an expression for the cost (including commission) of buying a particular number of Botswana pulas

(a) by credit card and

(b) from a Bureau de Change.

c. Evaluate each of these expressions for 700 BWP, 800 BWP, and 1000 BWP respectively.

d. Hazard a guess as to the number of pulas you would have to buy for the cost to be the same whether you use a credit card or cash.

Answers

Answer:

(a) A = 0.00278787878787878x

(b) B = 0.00235294117647058x + 3

(c) The answers are as follows:

For buying by credit card

For 700 BWP: Cost = A = £1.95

For 800 BWP: Cost = A = £2.23

For 800 BWP: Cost = A = £2.79

For buying from a Bureau de Change

The equation (4) is used as follows:

For 700 BWP: Cost = B = £4.65

For 800 BWP: Cost = B = $4.88

For 1000 BWP: Cost = B = £5.35

(d) You would have to buy 6,897.54 pulas for the cost to be the same whether you use a credit card or cash.

Step-by-step explanation:

(a) by credit card

For the exchange rate, we have:

8.25 BWP = £1 ⇒ 8.25 / 8.25 BWP = £1 / 8.25 = 1.00 BWP = £0.121212121212121

The expression can therefore be written as follows:

A = £0.121212121212121 * r * x ................. (1)

Where;

A = cost (including commission) of buying a particular number of Botswana pulas by credit card

r = commission on a credit card transaction = 2.3%, or 0.023

x = the number of pulas bought

Substituting for r into equation (1), we have:

A = £0.121212121212121 * 0.023 * x

A = 0.00278787878787878x ................. (2)

Equation (2) is the expression.

(b) from a Bureau de Change

For the exchange rate, we have

8.5 BWP = £1 ⇒ 8.5 / 8.5 BWP = £1 / 8.5 = 1.00 BWP = 0.117647058823529

B = (£0.117647058823529 * r * x) + F ................. (3)

Where;

B = cost (including commission) of buying a particular number of Botswana pulas by from a Bureau de Change.

r = commission charged by Bureau de Change. = 2%, or 0.02

x = the number of pulas bought

F = fee = £3

Substituting for r and F into equation (3), we have:

B = (£0.117647058823529 * 0.02 * x) + £3

B = 0.00235294117647058x + 3 ................. (4)

Equation (4) is the expression.

c. Evaluate each of these expressions for 700 BWP, 800 BWP, and 1000 BWP respectively.

For buying by credit card

The equation (2) is used as follows:

For 700 BWP: A = £0.00278787878787878 * 700 = £1.95

For 800 BWP: A = £0.00278787878787878 * 800 = £2.23

For 800 BWP: A = £0.00278787878787878 * 1000 = £2.79

For buying from a Bureau de Change

The equation (4) is used as follows:

For 700 BWP: B = (£0.00235294117647058 * 700) + £3 = £1.65 + £3 = £4.65

For 800 BWP: B = (£0.00235294117647058 * 800) + £3 = £1.88 + £3 = $4.88

For 1000 BWP: B = (£0.00235294117647058 * 1000) + £3 = £2.35 + £3 = £5.35

d. Hazard a guess as to the number of pulas you would have to buy for the cost to be the same whether you use a credit card or cash.

This can be calculated by equating equations (2) and (4) and then solve for x as follows:

0.00278787878787878x = 0.00235294117647058x + 3

0.00278787878787878x - 0.00235294117647058x = 3

x(0.00278787878787878 - 0.00235294117647058) = 3

x0.0004349376114082 = 3

x = 3 / 0.0004349376114082

x = 6,897.54 pulas

Therefore, you would have to buy 6,897.54 pulas for the cost to be the same whether you use a credit card or cash.

Mario is paid a salary of $500 plus 8% of sales. Calculate his total income if his sales total $10,890 in the
current pay period.

Answers

Answer:

His total income is of $1,371.2.

Step-by-step explanation:

His salary is of $500, plus 8% of his sales.

In this question:

Sales of $10,890. So his salary is given by:

[tex]S = 500 + 0.08*10890 = 500 + 871.2 = 1371.2[/tex]

His total income is of $1,371.2.

TO ANYONE WHO WILL HELP ME..
I need someone to explain this math problem with me to contact me
gracie.hill.24 at student.nashvillesd.com

Answers

Answer:

there isn't a math question

Step-by-step explanation:

Determine whether the given answer is a Solution or Not a Solution
x<6 x=3
x≥10 x=10
x>−3 x=−6
x≤15 x=20
x<9 x=9
x≥8 x=12

Answers

Answer:

1- yes

2- yes

3- no

4- no

5- no

6- yes

Step-by-step explanation:

A birthday cake is cut into 8 slices. The arc length of one piece is 8.0 inches. What is the diameter of the cake? Round to the nearest tenth.

Answers

Answer:

D =20 inches

Step-by-step explanation:

Given that,

A birthday cake is cut into 8 slices. The arc length of one piece is 8.0 inches.

We need to find the diameter of the cake.

The circumference of a circle is given by :

[tex]C=2\pi r[/tex]

ATQ,

[tex]\dfrac{1}{8}\times 2\pi r=8\\\\2r=\dfrac{64}{\pi}\\\\2r=20\ in[/tex]

Diameter, D = 2r

So, the diameter of the cake is equal to 20 inches.

Pls help me pls pls il need help i will mark brainliest

Answers

Answer:

k -= 1

Step-by-step explanation:

For the first picture :
The answer is k=2

For the second picture:
The answer is graph 2 because it goes through the origin(0,0) and it creates a straight line

For the third picture:
B. Rebecca is incorrect because 7 cups of flour will make 14 batches of cookies

1/2 x 6 is it 6 1/2 or is it 3 1/2 or 2 or3

Answers

Answer:   3

1/2 x 6 is the same as (1/2)*6

We multiply the fraction 1/2 by the whole number 6. We end up with 3.

If we had 6 slices of cake, and gave away half of that total, then we give away 3 slices.

Answer:

3

Step-by-step explanation:

A middle school took all of its 6th grade students on a field trip to see a ballet at a theater that has 3840 seats. The students left 2496 seats vacant. What percentage of the seats in the theater were filled by the 6th graders on the trip?

Answers

Answer:

35%

Step-by-step explanation:

Answer:

35%

Step-by-step explanation:

First, we must calculate how many seats are taken by 6th graders. We do this by subtracting the total seats by vacant seats. 3840-2496=1,334. Then, we must find the percent of students that were 6th grade who filled the seats. We do this by dividing all the chairs taken by the 6th graders and divide it by the total chairs which gets you .35. And with percentages, you move the decimal place two times to the right which gets you 35%.

Stacy is making cake pops and cupcakes. She needs 1/2 cup of oil for cake pops and 1.5 times as much oil for cupcakes. If Stacy has 2 1/2 cups of oil, how much will she have left over after she makes the cake pops and cupcakes?
PLS HELP I LITERALLY HAVE NO CLUE

Answers

I think she’ll have 1 left I DONT KNOW I did some work on my paper but I’m as confused as you

Frankie factored the expression ls 14m + 21pm - 35mq as 7(2m + 3pm - 5mq) . She thinks she has factored out the greatest common factor because you cant factor out variables. Do you agree or disagree?Explain​

Answers

Answer:

Disagree, as m is common to all terms of the expression and thus, can be factored. The factored expression is 7m(2 + 3p - 5q)

Step-by-step explanation:

If a variable is common to all terms of an expression, it can be factored.

14m + 21pm - 35mq

Here, m is common to all terms of the expression, so the factored expression is:

[tex]7m(\frac{14m}{7m} + \frac{21pm}{7m} - \frac{35mq}{7m}) = 7m(2 + 3p - 5q)[/tex]

Disagree, as m is common to all terms of the expression and thus, can be factored. The factored expression is 7m(2 + 3p - 5q)

Solve.
5) Solve 2y + 12 < 42.
Show your work.

Answers

The answer is y < 15

Answer:

y<15

Step-by-step explanation:

Subtract 12 from both sides.

2y+12−12<42−12

2y<30

Step 2: Divide both sides by 2.

2y

2

<

30

2

y<15

Answer:

y<15

y = 2Vx+4

vertex:
domain:
range:
y-intercept:
x-intercept:

Answers

Answer:

y = 2vx+4

x= y/2v - 2/v

Domain (-infinite sign , infinite sign)

Range (-infinite sign , infinite sign)

vertex center (0,0)

vertices (2,0) , (-2,0)

Foci (6,0) , (-6,0)

Eccentricity 6/2

focal 6/3

Asymptotes : y=2x/2 , y=-x2/2

2/7 of 49
fractions ​

Answers

Answer:

14

Step-by-step explanation

Caleb is comparing the growth of plants using two different fertilizers

Part A use the measures of center from the box plots to make an inference about the data. Use the drop down menus to explain your answer

Part B use the box plots to make an inference using the variability of the data. Drag words to complete the statement. Words may be used once, more than once, or not at all.

Answers

Answer: Medians, Less

Part A

Use the measures of center from the box plots to make an inference about the data. Use the drop-down menus to explain your answer.

Based on the medians, the plants in Group A grew

less on average, as compared to the plants in Group B.

Part B Answer: Greater, Less

The range and IQR are greater

in Group B as compared to Group A, so there is less variability in the growth of plants in Group B.

Answer:

Answer: Medians, Less

Part A

Use the measures of center from the box plots to make an inference about the data. Use the drop-down menus to explain your answer.

Based on the medians, the plants in Group A grew

less on average, as compared to the plants in Group B.

Part B Answer: Greater, Less

The range and IQR are greater

in Group B as compared to Group A, so there is less variability in the growth of plants in Group B.

Step-by-step explanation:

Other Questions
Which of the choices below would best support a scientist'shypothesis that a local town was experiencing acid rain?A. The concentration of dissolved heavy metals in a local pond experienced an increase. B. The temperature of a local lake experienced a gradual increase.C. A sudden die-off of acid-tolerant fishes occurred in a local stream nearby.D. A local pond experienced a permanent increase in its pH levels. I need help with these question THAK YOU!!!!what is Hund's rule? Evaluate the necessity of establishing industries in backward areas? A statistics student records the servings of vegetables Natalia and Zane eat each weekday. The table shows the results. the boy knows his own height and can measure the length of his shadow as well as the length of the tree shadow. which postulate will allow the boy to find the height of the treeA. ASAB.AAC.SASD.AAS factor the expression. use the greatest factor: 12x+28 2) Choose two ideas that must be included in an accurate paraphrase ofparagraph one.A)The corn had very recently been buried.B)The Pilgrims wanted to pay the Indians back.C)The Pilgrims found two different baskets of corn.D) The Indians ran away from the Pilgrims at first.E)Miles Standish took the corn and it helped thePilgrims. what color is the sky Please help me ASAP What is 7/16 x 1/2 If 4.52g of the precipitate is formed, how many grams of sodium chloride reacted? WILL GIVE BRAINLIEST!! Find the area of a regular pentagon with a radius of 32 to the nearest integer. Mr.Green told Ms.Jang that the -k is- 1. What you tell one of you classmates that the coefficient of -k/5 is?I really do not understand this pls help its due tonight A bag contains 3 red marbles. The ratio of red marbles to blue marbles is 3 : 7. Find the number of blue marbles in the bag. PLEASE HELP MEHow might a plant population be affected by the construction of a road through a forest? In your answer, consider how things such as pollution from automobiles, runoff from roadways, or an increase in sunlight might affect the plant populations that live in the forest. y/7=2 helpppppppppppppp 4Angel y diablito A Juan le gusta pedir consejos a sungel y a su diablito imaginarios. Completa las respuestascon mandatos familiares desde las dos perspectivas. 16 pts.1. Estoy manejando. Voy ms rpido?A No, noms rpido.D S,ms rpido.2. Es el reproductor de MP3 favorito de mi hermana.Lo pongo en mi mochila?la irA No, noen tu mochila.lasD S,en tu mochila.3. Necesito estirar (to stretch) las piernas.Doy un paseo?A S,un paseo.D No, noun paseo.4. Mi amigo necesita imprimir algo. Apago la impresora?la impresora.A No, noDS,la impresora.Oraciones Write two haiku poems ?? PLEASE HELP ME I'm not good at writing poems 80 inches in 5 hours. How many inches in 1 hour An automobile battery manufacturer offers a 39/50 warranty on its batteries. The first number in the warranty code is the free-replacement period; the second number is the prorated-credit period. Under this warranty, if a battery fails within 39 months of purchase, the manufacturer replaces the battery at no charge to the consumer. If the battery fails after 39 months but within 50 months, the manufacturer provides a prorated credit toward the purchase of a new battery. The manufacturer assumes that x, the lifetime of its auto batteries, is normally distributed with a mean of 44 months and a standard deviation of 3.6 months.1. If the maufacturer's assumptions are correct, it would need to replace_____ of its batteries free of charge.a. 8.23%b. 4.75%c. 91.77%d. 95.25%2. The company finds that it s replacing 9.34% of its batteries free of charge. It suspects that its assumption about the standard deviation of the life of its batteries is incorrect. A standard deviation of ______ results in a 9.34% replacement rate.a. 3.8b. 5.4c. 4.1d. 4.2 HELP PLEASE ANYONE STEP BY STEP TIMED