factor -7x^3+21x^2+3x-9 by grouping

Answers

Answer 1

Answer:

[tex](-7x^2+3)(x-3)[/tex]

Step-by-step explanation:

We can take "common" from first 2 terms and common from next 2 terms. Shown below:

[tex]-7x^3+21x^2+3x-9\\-7x^2(x-3)+3(x-3)\\(-7x^2+3)(x-3)[/tex]

That's how we do it. We can't simplify, or factor, any further.


Related Questions

A farmer sells carrots and squash. A customer buys 1 pound of carrots and 1.5 ponds of squash for $7.00. Another customer buys 4.5 pounds of carrots and 1.75 pounds of squash for $14.00. Enter the price in dollars for 1 pound of carrots

Answers

Answer:

$1.75

Step-by-step explanation:

1 pound of carrot and 1.5 pounds of squash cost $7.00.

1c + 1.5s = 7 ----------------- [ 1 ]

4.5 pounds of carrot and 1.75 pound of squash cost $14.00.

4.5c + 1.75s = 14 ----------------- [ 2 ]

[ 1 ] x 4.5:

4.5c + 6.75s = 31.5 ----------------- [ 1a ]

[1a] - [2]:

5s = 17.5

s = $3.50

Sub s = 3.5 into [ 1 ]:

1c + 1.5 (3.5)  = 7

1c + 5.25 = 7

1c = $1.75

Final answer:

By setting up and solving a system of linear equations based on the purchases made by two customers, we calculated the price of carrots to be $2.00 per pound.

Explanation:

To determine the price per pound for carrots, we can set up a system of linear equations based on the provided information and solve it. Let 'c' represent the cost per pound of carrots and 's' represent the cost per pound of squash.

Equation 1: c + 1.5s = $7.00 from the first customer's purchase.Equation 2: 4.5c + 1.75s = $14.00 from the second customer's purchase.

Multiplying Equation 1 by 3 gives us:

3c + 4.5s = $21.00

Now, let's subtract Equation 2 from this new equation to eliminate 's' and solve for 'c'.

3c + 4.5s - (4.5c + 1.75s) = $21.00 - $14.00-1.5c + 2.75s = $7.00-1.5c = $7.00 - 2.75sSince 4.5c + 1.75s = $14.00, let's solve for 's'.1.75s = $14.00 - 4.5cs = ($14.00 - 4.5c) / 1.75Now we replace 's' in the -1.5c term:-1.5c = $7.00 - 2.75(($14.00 - 4.5c) / 1.75)-1.5c = $7.00 - (2.75 × $8.00) / 1.75 + (2.75 × 4.5c) / 1.75-1.5c + (2.75 × 4.5c) / 1.75 = $7.00 - $8.00c(4.5 × 2.75 / 1.75 - 1.5) = -$1.00c = -$1.00 / (4.5 × 2.75 / 1.75 - 1.5)Calculate the right side to find the price per pound for carrots.

After calculating, we find that c = $2.00 per pound for carrots.

plz help me brainliest to whoever answers first.

Answers

Answer:

This is a Question from an Iready test!

Step-by-step explanation:

In which triangle is the value of x equal to cos−1 (4.3/6.7)?

Answers

Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Which represents a quadratic function? f(x) = 2x3 + 2x2 – 4 f(x) = –7x2 – x + 2 f(x) = –3x + 2 f(x) = 0x2 + 3x – 3

Answers

Answer:

Second option: [tex]f(x) =-7x^2 -x + 2 [/tex]

Step-by-step explanation:

A quadratic function has the form:

[tex]f(x)=ax^2+bx+c[/tex]

(Where [tex]a\neq0[/tex])

You can observe that the highest exponent of a quadratic function is 2.

Then, let's check which of the options shows a quadratic function:

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

Its highest exponent is 3, then this is not a quadratic function.

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

Its highest exponent is 2 and [tex]a\neq0[/tex], then this is a quadratic function.

3) [tex]f(x) = -3x + 2[/tex]

Its highest exponent is 1, then this is not a quadratic function.

4) [tex]f(x) =0x^2+3x-3[/tex]

You can observe that [tex]a=0[/tex], then this is not a quadratic function.

Answer:

B. f(x) = –7x2 – x + 2

Step-by-step explanation:

the answer above me is right so I'm just shortening it so the answer is easy to find, have a great day !

Eli,Freda and geoff where given £800 to share in the ratio of there ages
Eli is 9 years old
Freda is 13 year's old
And Geoff is 18 year's old
How much will they get each

Answers

Answer:

see explanation

Step-by-step explanation:

The ratio received = 9 : 13 : 18

Sum the parts of the ratio 9 + 13 + 18 = 40

Divide the amount by 40 to find the value of one part of the ratio

[tex]\frac{800}{40}[/tex] = £20 ← value of 1 part of ratio

Eli gets 9 × £20 = £180

Freda gets 13 × £20 = £260

Geoff gets 18 × £20 = £360

Final answer:

To divide £800 between Eli, Freda and Geoff based on their ages, we need to find the ratio of their ages and divide the total amount by this ratio. Eli will get £180, Freda will get £260, and Geoff will get £360.

Explanation:

To find out how much each person will get, we need to divide the total amount of money by the sum of their ages in the given ratio.

The sum of their ages is 9 + 13 + 18 = 40.

The ratio is 9:13:18.

To divide £800 according to this ratio, we can first find the total number of parts in the ratio by adding the ratios together: 9 + 13 + 18 = 40. Then we can find the value of each part by dividing the total amount of money by the sum of the ratios: £800 / 40 = £20. Finally, we can find how much each person will get by multiplying their age in the ratio by the value of each part. Eli gets 9 parts: 9 * £20 = £180. Freda gets 13 parts: 13 * £20 = £260. Geoff gets 18 parts: 18 * £20 = £360.

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What is 2.685 in word form?

Answers

Answer: two point six eight five

Step-by-step explanation:

Answer: two and six hundred and eighty five thousands

Just drew an isosceles triangle. One side of the triangle was 5 inches long. The other side of the triangle was 8inches long

Answers

Answer:

13

Step-by-step explanation:

If you said one side was 5 inches long anf the other side was 8 add thoes up u get 13

Find the area of the shaded sector. Leave your answer in terms of pie

Answers

ANSWER

The area of the shaded sector is

[tex]Area =\pi \: {in}^{2} [/tex]

EXPLANATION

The area of a sector is calculated using the formula,

[tex]Area = \frac{central \: angle}{360 \degree} \: \times \pi \: {r}^{2} [/tex]

Fro the diagram, the central angle is 90°

The radius of the circle is 2 in.

[tex]Area = \frac{90 \degree}{360 \degree} \: \times \pi \: {2}^{2} {in}^{2} [/tex]

[tex]Area = \frac{1}{4} \: \times \pi \: 4 {in}^{2} [/tex]

This finally simplifies to

[tex]Area =\pi \: {in}^{2} [/tex]

Answer:

Area of shaded region = 3.14  in²

Step-by-step explanation:

Formula:-

Area of circle = πr²

Where 'r' is the radius of circle

It is given a circle with radius 2 in.

To find the area of circle

Here r = 2 in

Area = πr²  = 3.14 * 2² = 12.56 in²

To find the area of shaded region

Here central angle of sector = 90°

area of sector= (90/360) * area of circle

 = (1/4)12.56 = 3.14  in²

what are the solutions for 2x^2-8x-90

Answers

Answer: x = 9

x = -5

Step-by-step explanation:

need the answer.... PLZ will name the fist one to answer the brainliest!!!!!

Answers

Answer:

A. $3,992.50

Step-by-step explanation:

Pavi has a credit limit of $8,000.

The credit statement says that the current balance is $4,007.50.

The margin Pavi has is the limit ($8,000) minus the current balance ($4.007.50), so 8000 - 4007.50 = 3992.50

It could have been guessed easily, because the balance is roughly half of the credit limit... so what's left is roughly half of the credit limit.   And the first answer is the only one close to that half-limit number ($4,000).

The right square pyramid shown below has a base measuring 9 inches on each side and a height of 15 inches. What is the volume in cubic inches, of the right square pyramid?

Answers

Answer:

405 inches^2

Step-by-step explanation:

V=bh/3

The base would be 81 because 9x9

The height is 15

81x15=1215

1215/3= 405

Need help with this math question

Answers

Answer: w = 61

Step-by-step explanation:

If the wall is 456 cm then the carpenter has already used up 334 cm of the wall on the other book cases. So 456-334 = 122 and since both of the bookcases are going to be the same width you divide 122 by 2 which gives you 61. Hope this helps :).

2. A new car is for lease for $419 per month with a
down payment of $738. What is the cost for 36
months for this vehicle?
$15,084
$1,157
$41,652
$26,987
$15,822​

Answers

$15,822 is the correct answer, you multiply 36 by $419 and add the down payment of $738

$15,822. first you multiply $419 x 36 to get 15,084. then you add the down payment

A runner passes the 12​-mi point after 2 hours and reaches the 15​-mi point 30 minutes later. Assuming a constant​ rate, find the speed of the runner.

Answers

Answer:

6 mph

Step-by-step explanation:

Difference in distance

= 15 - 12

= 3 mi

time taken

= 30 mins

= 1/2 hour

Speed

= 3 ÷ 1/2

= 6 mph

based on the sample results about what percent of the population prefers reading a hardcopy?

Answers

Answer:

about [tex]84\%[/tex]

Step-by-step explanation:

From the given information, the number of readers who prefer hard copy is 4 and the number of people who prefer soft copy is 21.

The sample size is n=25.

The percentage of readers who prefer hard copy [tex]=\frac{21}{25}\times 100\%[/tex]

We simplify this to get:

[tex]=21\times 4\%[/tex]

[tex]=84\%[/tex]

84%

Step-by-step expl

what is the perimeter of triangle ABC

12 units
13units
14units
18units​

Answers

Answer:

18

Step-by-step explanation:

The length of  side AC can be found by counting the squares between AC:  8.

The length of side BC can be found using the Pythagorean Theorem.  B is 3 units to the right of C and 4 units above C.  Thus:

|BC| = √(3² + 4²) = √25 = 5.

|AC| has the same length:  5.

Thus, the perimeter of this triangle is 5 + 5 + 8, or 18.

d 18 units 5+5+8. just add the side lengths

d) What is the measure of ∠H? Explain. (1 point)


Answers

Answer:

105 degrees

Step-by-step explanation:

The measure of angle H from the given figure is 67.5 degree.

What is vertical angle theorem?

Vertical angles theorem or vertically opposite angles theorem states that two opposite vertical angles formed when two lines intersect each other are always equal (congruent) to each other.

Given that measure of angle F is 67.5°

The angles formed when two lines cross each other are known as vertical angles. Vertically opposite angles are the opposing angles created by these lines.

In simple words, vertical angles are located across from one another in the corners of the "X" formed by two straight lines.

From the given figure,

∠F=∠H (Vertically opposite angles are equal)

Angle F= Angle H=67.5°

So, angle H is 67.5 degree

Therefore, the measure of angle H is 67.5 degree.

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"Your question is incomplete, probably the complete question/missing part is:"

The stop sign is a regular octagon, so the measure of ∠F must be 67.5°. What is the angle measure for ∠H?

Plzzzzz help I really need it

Answers

Answer:

The data set with the greater range is the girls, the greatest medium is also the girls.

Step-by-step explanation:

The range of the boys is 60-120

while the range of the girls is 70-150

The medium of the boys is 90,

the medium of the girls is 110 (as it is between 100 and 120 so the medium is 110)

The endpoints of segment PQ are P(-3,1) and Q(4,25) find the length of the segment PQ

Answers

PQ^2=(X2-X1)+(Y2-Y1)^2

PQ^2=(4+3)^2+(25-1)^2

PQ^2=625

PQ=25 unit

The length of the segment PQ is 25 units.

How to find the distance between two points?It can be calculated by using the distance formula.Distance formula consists of the coordinates of points on the graph.

Given: Segment PQ

P = (x₁, y₁) = (-3, 1) and Q = (x₂, y₂) = (4, 25)

We have to find the length of the segment PQ.

Length of the segment PQ can be found by using the distance formula.

⇒ PQ = [tex]\sqrt{(x_2 -x_1)^2+(y_2-y_1)^2}[/tex]

⇒ PQ = [tex]\sqrt{[4-(-3)]^2+(25-1)^2}[/tex]

⇒ PQ = [tex]\sqrt{7^2+24^2}[/tex]

⇒ PQ = [tex]\sqrt{49+576}[/tex]

⇒ PQ = [tex]\sqrt{625}[/tex]

PQ = 25 units

Therefore, the length of the segment PQ is 25 units.

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jim ate 1/4 of a candy bar. his brother ate 2/4 of a candy bar how much of the candy bar is left

Answers

[tex]\frac{4}{4}total[/tex]

[tex]\frac{4}{4} - (\frac{2}{4} + \frac{1}{4} )[/tex]

[tex]\frac{4}{4} - \frac{3}{4} = \frac{1}{4}[/tex]

[tex]\frac{1}{4}[/tex] of the candy bar is remaining

1/4 of the candy bar is left.

First, let's add up the fractions of the candy bar that Jim and his brother ate:

Jim ate = 1/4

his brother ate = 2/4.

To find out how much they ate in total, we add these fractions:

1/4 + 2/4

= 3/4

So, they ate a total of 3/4 of the candy bar.

Now, to find out how much of the candy bar is left, we subtract the total amount they ate from 1 (the whole candy bar):

1 - 3/4

= 1/4

So, 1/4 of the candy bar is left.

A team has won 15 of 27 games that it has played what fraction of games have they won?A team has won 15 of the 27 games that he has played what fraction of games have they won?

Answers

15/27 but if you want to simplify it it’s 5/9

I need help on solving this, thank you

Answers

Answer:

Monday:

40 minutes

Tuesday:

80 minutes

Wednesday:

60 minutes

Step-by-step explanation:

x + 2x + (1/2)(x + 2x) = 180

4.5x = 180

x = 40 minutes

What is the value of y

Answers

Answer:

50

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

We can use the alternating interior angles theorem to determine that 50 and y are congruent.

Therefore the measure of angle y is 50.

What is the answer to all the q's
******WILL GIVE BRAINLIST******

Answers

Answer:

1. F

2. T

3. T

4. T

Step-by-step explanation:

Let's break down the definitions.

Quadrilateral - A polygon with 4 sides

Square - A quadrilateral with 4 equal sides and 90 degree angles

Rectangle - A quadrilateral with 4 sides with opposite sides that are congruent and have 90 degree angles

Parallelogram - A quadrilateral with 4 sides with opposite sides that are congruent and do not have 90 degree angles

Rhombus - A quadrilateral with 4 equal sides but does not have 90 degree angles

Now let's look at the questions.

Does every 4 sided figure have equal sides? - No

Is a rectangle with 4 equal sides a square? - Yes

Is every parallelogram with 4 equal sides a parallelogram? - Yes

Is every 4 equal sided figure a figure with opposite sides that are equal? - Yes

Question 1 - False, rectangle is not a square if it has a different length or width

Question 2 - True, square can also be a rectangle as long as there are four congruent sides

Question 3 - True, rhombus is a parallelogram

Question 4 - True, square can be also known as a rectangle

12.2 surface area backside

Answers

Answer:

SA = 250 pi

SA = 785 in^2

Step-by-step explanation:

Givens

d = 10

h = 20

r = d/2

Formula

r = d/2

r = 10/2

r = 5

SA = 2*pi*r^2 + pi*d*h

Solution

SA = 2 * pi * 5^2 + pi * 10 * 20

SA = 2 * 25 *pi  + pi * 200

SA = 50 pi + 200 pi

SA = 250*pi

This is one answer.

The second is 250 * 3.14

SA = 785 in^2

High temperatures were recorded for 30 consecutive days:
50, 45, 49, 50, 43, 49, 50, 49, 45, 49, 47, 47, 44, 51, 51, 44, 47, 46, 50, 44, 51, 49, 43, 43, 49, 45, 46, 45, 51, 46.

What is the range for the data set shown?

A)
8


B)
9


C)
30


D)
51

Answers

Answer:

The range is A,8.

Step-by-step explanation:

Range means to subtract the lowest value in the set from the highest value.

The lowest value is 43.

The highest value is 51.

subtract the two(51-43).

=8

hope this helps :)

Which of the following describes the parabola with the equation y=-x^2-3x+6

Answers

Step-by-step explanation:

use photomath for math problems and it give you step by step

   Parabola defined by the equation y = -x² - 3x + 6 will be represented by the picture attached.

Equation of the parabola given in the question is,

y = -x² - 3x + 6

Convert this equation in the vertex form, [y = a(x - h)² + k, here (h, k) is the vertex of the parabola]

y = -x² - 2(1.5)x - (1.5)² + (1.5)² + 6

  = -(x + 1.5)²+ (1.5)² + 6

  = -(x + 1.5)² + 2.25 + 6

  = -(x + 1.5)² + 8.25

From this equation vertex of the parabola will be (-1.5, 8.25).

Leading coefficient 'a' = -1 (negative)

y - intercept of the equation → y = -(0 - 1.5)² + 8.25

                                                  y = 6

x- intercept of the equation → 0 = -(x - 1.5)² + 8.25

                                                 (x - 1.5) = √8.25

                                                 x = 1.372, -4.372

  Therefore, parabola will open downwards (a is negative), y-intercept (0, 6) and x-intercepts as (-4.372, 0), (1.372, 0) and vertex as (1.5, 8.25).

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Solve 63 minus X equals 62 for x

Answers

Answer:

x=1

Step-by-step explanation:

This stuff is quite easy in reality. Here's a little example including your numbers.

[tex]63-x=62; solve for x\\\\63-x-63=62-63\\\\-x=1\\[/tex]

by this point we are left with simplifying it. Since it's a double negative we get a positive. Thus x=1

Boats from all along the Atlantic coast were moored at a busy marina one summer day. Of the 14 boats at the marina, 7 were from Rhode Island.

What is the probability that a randomly selected boat will be from Rhode Island?

Simplify your answer and write it as a fraction or whole number.

P(Rhode Island) =

Answers

Final answer:

The probability of selecting a boat from Rhode Island is 7 out of 14, which simplifies to 1/2, or 50%. There's an equal chance of picking a boat from Rhode Island as not.

Explanation:

The probability of selecting a boat from Rhode Island at the marina is calculated by dividing the number of Rhode Island boats by the total number of boats.

There are 7 boats from Rhode Island and 14 boats in total.

Therefore, the probability is 7 out of 14, which simplifies to 1/2 when reduced.

This can also be written as a decimal, 0.5, or a percentage, 50%, indicating that there is an equal chance of selecting a Rhode Island boat as there is of selecting a boat from another place.

Thus, there's an equal chance of picking a boat from Rhode Island as not.

Final answer:

The probability that a randomly selected boat will be from Rhode Island is 1/2.

Explanation:

To calculate the probability that a randomly selected boat at the marina is from Rhode Island, we use the basic probability formula:

Probability (P) of an event = (Number of favorable outcomes) / (Total number of possible outcomes)

Given that there are 7 boats from Rhode Island and a total of 14 boats at the marina, the probability (P) that a randomly selected boat is from Rhode Island is:

P(Rhode Island) = 7 / 14 = 1/2.

Therefore, the simplified fraction representing the probability is 1/2.

Hw 31 surface area of pyramids and cones

Answers

Answer:

1)LSA=219.91 m^2

 TSA= 298.45 m^2

2)LSA=785.39 ft^2

  TSA= 1099.55 ft^2

3)LSA=527.78 in^2

TSA=728.84 in^2

4)LSA=480.66 mm^2

TSA= 735.13 mm^2

5)LSA= 56 cm^2

  TSA= 72 cm^2

6)LSA=261 in^2

  TSA=391.5 in^2

Step-by-step explanation:

lateral surface area(LSA) of cone is calculated by: πrl

Total surface area(TSA) of cone is calculated by: πrl + πr^2

where r is radius of cone

           l is slant height of cone

Q1)

r=5m and l=14m

Putting value in formula:

LSA= πx 5x 14

      = 219.91

TSA= πx 5x 14 + π(5)^2

     = 298.45

Q2)

r=10ft and l=25ft

Putting value in formula:

LSA= πx 10x 25

      = 785.39

TSA= πx 10x 25 + π(10)^2

       = 1099.55

Q3)

r=8in and l=21in

Putting value in formula:

LSA= πx 8x 21

      = 527.78 in

TSA= πx 8x 21 + π(8)^2

     = 728.84

Q4)

r=9mm and l=17mm

Putting value in formula:

LSA= πx 9x 17

      = 480.66 mm

TSA= πx 9x 17 + π(9)^2

      = 735.13

Q5)

LSA of Pyramid is given by= 1/2(p)(l)

TSA of Pyramid is given by= 1/2(p)(l) +B

where p is perimeter of base

           B is area of base

and      l is slant height

Finding p= 4.length of each side       (as it is square base)

               =4x4

               = 16

finding B= s^2

             = 4^2

             =16

Putting values in formula:

LSA= 1/2(7)(16)

      = 56

TSA=1/2(7)(16) + 16

      = 72

Q6)

Finding p= 5.length of each side        (as it is Pentagon)

               =4x8.7

               = 34.8

finding B= 5[1/2(b)(h)]

             = 5[1/2(8.7)(6)]

             =130.5

Putting values in formula:

LSA= 1/2(34.8)(15)

      = 261

TSA=1/2(34.8)(15) + 130.5

      = 391.5 !

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Which solid does NOT have the net form? hexagonal prism hexagonal pyramid rectangular prism rectangular pyramid Every parent-child relationship has some unique aspects as well as some universal aspects. Choose one of the selections you have read thus far I Stand Here Ironing, Daystar, My Father Sits in the Dark, My Father in the Navy, or The Egg and explain what is unique and universal about that selection. Which can be categorized as a use of plasma in technology? A cruise ship can cover and 19 nautical miles in 304 minutes. How many nautical miles will travel in 240 minutes? What statement does the author make to emphasize that graffiti art is considered vandalism? A. One style is called wildstyleit is calligraphy-like writing with interlocking letters. B. In my opinion, we should give more support to graffiti artists and take the time to listen to what they are trying to tell us through their amazing images. C. Technically, even the most beautiful piece of graffiti art must be removed according to most city laws, and it is taxpayers who end up paying the bill. D. It is hard to know what the future of graffiti art will be. What is the quotient (x3 3x2 + 5x 3) (x 1)?What is the quotient (x3 + 3x2 + 5x + 3) (x + 1)? For the girl to lift this rock, she must push down with a force _____.A.equal to the weight of the rockB.less than the weight of the rockC.greater than the weight of the rock During a sales trip, Mr. Jones drove15 miles east from Brownsville toCarlton. Then he drove several moremiles east from Carlton to Sun City.The distance from Brownsville to SunCity is 35 miles. Write and solve anaddition equation to find how manymiles it is from Carlton to Sun City. When were elections held for the new parliament From your perspective, what do you think the long-term impact of the encomienda system Americas will be? On a scale of 1-10, how afraid would you be if a meteor destroyed Earth tomorrow and why? It's for an English doomsday project. Which of the following themes is culturally specific 25 pts easy definitionsadjacent anglescongruent anglescomplementary anglesvertical anglesperpendicular linessupplementary angles Before Lucy could begin to ______ with the enemy, the police arrested her for being a spy.A. fraternizedB. fraternityC. fraternizeD. fraternalE. fraternization Mrs.Johnson has 14 blue pens, 7 black pens and 5 red pens in a desk drawer. If she Selects two pens at random without replacing them what is the probability that she selects a blue pen and then a black.pen With a base salary of $250 and a commission of 4% of all sales, compute Cindy Nelsons salary for the following weeks: Week : 1 2 3 4 Base Salary. $250. $250 $250 $250Sales. $890. $1,126 $975 $ 824Commission ? ? ? ?Total Salary ? ? ? ? Which sentence best explains how the narrator views the native villagers at the end of the story? The narrator is filled with rage and anger; he views the villagers as wicked and evil beings who need to be destroyed. The narrator believes that the villagers are misunderstood and in need of guidance. The narrator believes that they are little more than liars and cheats; his prejudice and feelings of superiority are reinforced. The narrator respects the villagers intelligence and admires that they were able to trick him. Actin makes up cytoskeleton fibers called _____. The table lists the number of items that 5 shops sold on a particular day. What is the mean absolute deviation of this data set? A. 3.2B. 4C. 6.4D. 9E. 12.6Reset Next WILL GIVE BRAINLIEST!!!!!!!!!!!Print advertisements are a form of _____ writing.fact-and-opinionnarrativepersuasivecause-and-effect