Find the product of (x2 + 2x −3)(4x2 − 5x + 6). (2 points) a 4x4 + 13x3 − 16x2 + 27x − 18 b 4x4 + 3x3 − 28x2 + 27x − 18 c 4x4 + 3x3 − 16x2 + 3x − 18 d 4x4 + 3x3 − 16x2 + 27x − 18

Answers

Answer 1

Answer:

D

Step-by-step explanation:

We want to find:

[tex](x^2+2x-3)(4x^2-5x+6)[/tex]

Distribute:

[tex]=(x^2+2x-3)(4x^2)+(x^2+2x-3)(-5x)+(x^2+2x-3)(6)[/tex]

Distribute:

[tex]=(4x^4+8x^3-12x^2)+(-5x^3-10x^2+15x)+(6x^2+12x-18)[/tex]

Rearrange:

[tex]=(4x^4)+(8x^3-5x^3)+(-12x^2-10x^2+6x^2)+(15x+12x)+(-18)[/tex]

Combine like terms:

[tex]=4x^4+3x^3-16x^2+27x-18[/tex]

The answer is D.


Related Questions

Solve the inequality 2n – 1 < 39​

Answers

Answer:

n < 20​

Step-by-step explanation:

2n – 1 < 39​

Add 1 to each side

2n – 1+1 < 39+1

2n < 40

Divide each side by 2

2n/2 < 40/2

n < 20​

If you answer these questions i will give you free point's. (Answer all of them pls)


1. I am 50% of a quarter of 32.
2. I am two thirds of 60.
3. I am exactly half-way between 25% of 80 cm and 40% of 120cm.
4. I am one-quarter of 50% of 88kg.
5. I am 3% of half of 600 pounds.
6. I am exactly halfway between one fifth of 25cm and 2% of 300 cm.
7. I am greater that 0.6 kg, less than one-third of 6 kg, and equal to four times 10% of 3kg.

Answers

Answer:

1. 4

2.40

3. 28

4.11

5.12

6. 1

7. 1200

Step-by-step explanation:

I used • instead of x to show you multiply.

1. 1/4 (one quarter) of 32 = 8.
50% of 8 = 4

2. 2/3• 60 = 120/3 = 40

3. 25% = 0.25, 40% = 0.40
So 0.25 • 80= 20
0.40 • 120 = 48
Then subtract: 48-20 = 28. Half of 28 is 14. Add that 14 to 20, and your answer is 34. It will probably be helpful to either write that on a number line, or picture it on a number line.

4. 50% of 88kg is half of that, which is 44. One quarter = 1/4, so 44/4 = 11

5. Half of 600 pounds is 300 pounds. 3% = 3/100 = 0.03. Multiply that by 300 to get your answer. 300 • 0.03 = 9

6. 1/5 of 25cm = 25/5= 5
2% of 300 = 300• 0.02= 6
What is exactly halfway between 5 and 6? 5.5

7. Start this one with the last statement. 10% (0.10) of 3kg = 3•0.10= 0.3. Four times that = 4•0.3= 1.2

Then check: is that greater than 0.6? Yes.

One third of 6kg = 6/3= 2

Is 1.2 less than 2? Yes.

Solve the parallelogram for x MARKINF people as brainlist

Answers

Answer:

in the question there must be the area of the parallelogram given...

A line is represented by the equation y = 3x – 7. Which statement about the line is TRUE?

A.
This line is parallel to the line whose equation is y = 2x – 7.

B.
The line has a positive slope.

C.
The y-intercept is 7.

D.
The point (1, 4) lies on the line.

Answers

Step-by-step explanation:

alignment in represented by erosion by which a statement both lights it's true that this line is a parallel that two parallel whose the equation is do you audio will be that a googlmy answer if two line was station then represented by equation allowed is a representation equation the by represented is a

5. A baker had 2 pans of corn bread. He served 1 1/4 pans. What fraction of a pan was left?

Answers

Answer:

3/4

Step-by-step explanation:

2- 1 1/4= 3/4

Answer:

3/4

Step-by-step explanation:

On a map, Breanne measured the distance (as the crow flies) between Los Angeles, California and San
Francisco, California at 2 inches. The scale on the map is 1/4 inch = 43 miles. What is the actual
straight-line distance between Los Angeles and San Francisco?

Answers

the straight line distance is 344


1. (-13.8) and (3, 12)

Answers

what’s the question

Hello!

What do you need me to solve?

Where would the shape located after a reflection across the x-axis?

Answers

I think it would be quadrant 2

18. The stock bar chart below shows price and volume information for Medco Health
Solutions (MHS) on January 12. What was the opening price?

Answers

Answer:b $41.60

Step-by-step explanation:

13 percent of a certain company's life insurance policy holders are smokers. For each nonsmoker the probability of dying during the year is 0.002. For each smoker the probability of dying during the year is 0.02. Find the probability that a policy holder who died last year was a smoker.

Answers

Answer:

.6

Step-by-step explanation:

Using Bayes' theorem

While s = smoker

n = nonsmoker

D = died

P(s) = .13

P(n) =.87

P(D/s) =0.02

P(D/n) =0.002

P(s/D) = ??

[tex]P(s/D)=\frac{P(s)*P(D/s)}{P(s)*P(D/s)+P(n) *P(D/n)} =\frac{.13*.02}{.13*.02+.87*.002}=.6[/tex]

A certain financial services company uses surveys of adults age 18 and older to determine if personal financial fitness is changing over time. Suppose that in February 2012, a sample of 1,000 adults showed 410 indicating that their financial security was more than fair. In February 2010, a sample of 1,100 adults showed 385 indicating that their financial security was more than fair.

Required:
a. State the hypothesis that can be used to test for a significant difference between the population proportions for the two years?
b. What is the sample proportion indicating that their financial security was more that fair in 2012?In 2010?
c. Conduct the hypothesis test and compute the p-value.At a .05 level of significance what is your conclusion?
d. What is the 95% confidence interval estimate of the difference between the two population proportion?

Answers

Answer:

The calculated z = 2.85 falls in the critical region z > 1.96 so we accept the null hypothesis that there is no difference between the population proportions for the two years.

Step-by-step explanation:

Let p1 be the sample of 1000 adults chosen in 2012 and

p2 be the sample of 1100 adults chosen in 2010

Part a:

The hypothesis that can be used to test for a significant difference between the population proportions for the two years is:

H0: p1-p2= 0           against the claim      Ha: p1-p2≠0

Part b:

The sample proportion indicating that their financial security was more that fair in 2012 is

p1^= 410/1000= 0.41

In 2010 is:

p2^= 385/1100= 0.35

Part c:

p^c= 410+385/1000+1100= 0.3785

q^c= 1-p^c= 1-0.3785= 0.6124

The critical region is z > ±1.96

The test statistic is

z= p1^- p2^ / sqrt ( p^cq^c( 1/n1+ 1/n2)

z= 0.41-0.35 /sqrt( 0.3785*0.6124(1/1000 +1/1100)

z=  0.06 / 0.021036

z= 2.85

Conclusion

The calculated z = 2.85 falls in the critical region z > 1.96 so we accept the null hypothesis that there is no difference between the population proportions for the two years.

P- value :  0.00466

The result is significant( accept the null hypothesis) for  value less than 0.05

Part d:

                                                     2012                         2010

Sample                                       1000                           1100

Proportions                               0.41                             0.35

Standard Error               √0.41( 0.59)/1000        √0.35( 0.65)/1100

                                               = 0.0155                0.01438

Standard Error for the difference = √0.0155² + 0.01438² =0.0211

p1-p2 ± z* standard error for the difference

0.41-0.35 ± 1.96 *( 0.0211)

0.06 ± 0.041356

-0.018644,   0.101356

The 95 % confidence interval estimate is (-0.018644,   0.10135

What is 5/6 plus 7/8?

Answers

Answer:

1  17/24

Step-by-step explanation:

Answer:

41/24 or 1 17/24

Step-by-step explanation:

Dave divided 3/5 of a gallon of plant fertilizer evenly among 6 smaller bottles. How many gallons did he put in each bottle?

Whoever answers first gets brainliest please help

Answers

Answer:

Brothers Sorry I don't

Step-by-step explanation:

Please give thanks to all my answers and please mark as brilliant and please follow me

v= u + at, find v, when u = 12, a = 5 and t = 7

Answers

Answer:

V=47

Step-by-step explanation:

12+5x7

12+35

47

Answer:

Final velocity (v) = 47 m/s

Step-by-step explanation:

u = 12

a = 5

t = 7

v = ?

v = u + at (first law of motion)

v = 12 + (5 × 7)

v = 12 + 35

v = 47 m/s.

1. Find the permeter of the triangle
(6x + 2) cm
(x- 4)cm
(3x + 1) cm​

Answers

The perimeter of the triangle is 10x-1 cm.

Explanation:

Perimeter of the triangle:
(6x+2) + (x-4) + (3x+1)

= 6x + 2 + x - 4 + 3x + 1

= 10x - 1

Choose the symbol that goes in the blank to make the statement true.
96,000 _ 128,000 = < >

Answers

Answer:

<

Step-by-step explanation:

hhahaha

Which of the following is equal to this expression? (256⋅64)^1/4

Answers

Answer:8•4 √4

Step-by-step explanation:

A piece of fabric is 2 yards long. The fabric is cut into 24 pieces of equal length.

How long is each piece?

2 inches
3 inches
4 inches
6 inches

Answers

Answer:

3 inches

Step-by-step explanation:

Answer:

3 in

Step-by-step explanation:

jackie bought 15 cookies for $3 . How much will she have to pay for 35?

Answers

Step-by-step explanation:

15=3

35=x

15x=3×35

x= 3×35÷15

x=105÷15

x=7

round up 6,614,980 to hundreds​

Answers

well just look at the tens digit and see if it is bigger or smaller than 5, in this case 8>5

so the answer is 6,615,000, it is 000 because 9+1 became a 10

What would be the y- intercept for the function y=3x-6?

Answers

Answer:

the y intercept would be at (0,-6)

At lunch time, Benjamin often borrows money from his friends to buy snacks in the school cafeteria. Benjamin borrowed $0.75 from his friend Clyde five days last week to buy chips. Represent the amount Benjamin borrowed as the product of two rational numbers; then, determine how much Benjamin owed his friend last week.

Answers

Answer:

3.75

Step-by-step explanation:

#5:20 < 6+(-7x)
HINT! What is an equivalent way to write 6+ (-7x)?
What letter from the chart above matches the
solution to this inequality? Type your answer as a
CAPITAL letter.

Answers

Answer:

the answer i got was x<-2

Step-by-step explanation:

Plz help! I don’t know how to do these!

Answers

Step-by-step explanation: x = 120 x= 65x= 24

4. x= 40

plz mark my answer as brainlist plzzzz.

hope this will be helpful to you .

☺️

While rolling, a wheel with a diameter of 13/2m makes 196 revolutions. Find the distance that is traveled by the wheel. Use for 22/7 for pi​

Answers

Answer:

9.6 m

Step-by-step explanation:

let 'x' be distance traveled

196 = 3.14(6.5)x

196 = 20.41x

x = 196/20.41

x = 9.6

Write the equation of the line graphed below in slope-intercept form (y=mx+b)?​

Answers

y = -1/2x - 1

Tell me if you need explanation

Liam had63 markers, Alex has 49 markers, and Oliva has 77 markers use the GCF and

Answers

Answer:

and.....? look im only answering for the points m'lady. all i know is that olivia has, alex has, and liam HAD.

Step-by-step explanation:

Answer:

Step-by-step explanation:

63 = 3 * 3 * 7

49 = 7 * 7

77 = 7 * 11

So the GCF = 7.

LCM = 7 * 7 * 3 * 3 * 11 = 4851.

Which graph represents the inequality ?

Answers

Answer:

if there is a pic i need to to help so since there is no pic i can not help

Step-by-step explanation:

Please help this is due today!

Calculate the unknown missing angle measures.

Do not answer this with one answer ,blank, or a ridiculous answer.... this is serious please.

Answers

Answer:

For ABC A= (-3,3) B= (0.2) and C= (-3,1)

For DFE D= (0,6) F= (2,6) and E= (2,3)

Step-by-step explanation:

I believe tha name of a sequence of transformation will be translation and the Reflection

Hope this Helped

How do I solve this
4+(3.7-x)=1.72​

Answers

Answer:

x = 5.98

Explanation:

1. 4+(3.7−)=1.72

2. 4+(−+3.7)=1.72

3. 4−+3.7=1.72

4. 7.7−=1.72

5. −+7.7=1.72

6. −+7.7−7.7=1.72−7.7

7. −=−5.98

Then  simplify to x =5.98

Other Questions
List the four steps of mitosis in order. Describe what is happening during each phase. 1. Evaluate the expression when b = 24.310 + bHELP!!! I have no clue!!! Please help 20 POINTS!!!!!!!!!!!!!!!!!!!DUE IN 10 MIN!!!!!!!!!!!!!!!!!!!!!!Explain an El Nio event that affected weather, food production, water supply, or human health. Find the height of a cone that has a radius of 3 in and a volume of 96.91 in. In triangle ABC, point D is the centroid, and BD = 6. Find BE. cules seran algunos de los complementos y aparatos ms utilizados en la clase de educacin fsica para la prctica de la gimnasia???????? Ayuda!!!!!!; John roller skates 48km in 3 hours. What is his average speed in kilometers per hour? Helpppp Im marking brainliest What must one do to be considered an ARAB? What is on the left side of the arrow 2H2+1O2 --> 2H2O How many degrees is Angle 1?113080 find the missing value so that the line passing through the points has the given slope.(10, y) and (3, 4); m= - 2/7 Wich is not a crochet stich ? A.chain B.slip stich C.stan stich D.treble A coordinate grid is shown below:Part A: Which point represents the origin? (2 points)Part B: Starting from the origin, explain how to plot the following three points accurately:(2, 2)(2, 1.5) Please answer the question quickly, Thank you. a straight line has equation 4y-5x=2 work out the gradient of this line HElp please thanks Ill give Brainly 9 or 8 points i think*** please help ^^ Which word has a spelling error?OA. misnomerOB. pnewmaticOC. pulverizeOD. distraught Solve the system below"Wy = - 3x + 17y = -x + 3O (7.4)O (-7,-4)O (7.-4) Rhian sat a maths test and an English test. in the maths test, she scored 14/17. in the English test, she scored 31/39. in which test did she do better