Factor x^3 - 4x^2 + 7x - 28 by grouping. What is the resulting expression

Answers

Answer 1

Answer:

Step-by-step explanation:

x³ - 4x² + 7x - 28 = x³ - 4x² + 7x - 7*4

                    = x²(x - 4) + 7(x - 4)

                    = (x - 4 )(x² + 7)


Related Questions

Which statements are true regarding the system of equations? Check all that apply. 8 x + 10 y = 30. 12 x + 15 y = 60.

Answers

Answer:

Step-by-step explanation:

8x + 10y = 30

12x + 15y = 60

-24x - 30y = -90

 24x + 45y = 120

15y = 30

y = 2

8x + 20 = 30

8x = 10

x = 10/8

x = 5/4

(5/4, 2)

7. The distance between point (–4, 5) and another point is 10. What are the possible
coordinates of the other point?
A (2, 2)
B (2, 3)
C (2, –3)
D (–2, –3)

Answers

Answer:

D (-2, -3)

Step-by-step explanation: The distance is 10 units, so you take -4 (x) and go over 2 spaces so your at x = -2, and 2 units are down, 8 more to go. Then for (y) you do 5-8 and get -3 so now y = -3 . Now you have moved 10 spaces because 2 + 8 = 10 spaces, and are left at D (-2, -3).

C
The Distance Between -4 And 2 Is 6 (6^2=36)
The Distance Between 5 And -3 Is 8 (8^2=64)
36+64 =100 Sq Root Of 100 Is 10

Which is the angle measure represented by 2 rotations counterclockwise?
a. -1080°
C. 1080°
b. -720°
d. 720°

Answers

-720 because counter clockwise it would be 720 which is 360 times 2 but since it is backwards it’s -720.
I think it is a

Explanation is counterclockwise means going bakwards so that might be right

What is the factored form of 8x^24-27

Answers

Answer: 4.722

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Rotational symmetry is the quality a design has if it maintains all characteristics when it is rotated about a point. Find five letters that have rotational symmetry. Draw each letter showing the point of symmetry

Answers

Answer:

N I OS H

Step-by-step explanation:

WITH A POINT IN THE MIDDLE OF EACH LETTER. EX- IN THE MIDDLE FO O

A P E X

I need to find x in the angle

Answers

Answer:

88

Step-by-step explanation:

you do 120-32

Answer:

x = 58 degrees

Step-by-step explanation:

angle x and the 32 degree angle add up to 90 degrees.

so 90 - 32 = 58 degrees

Solve the equation for all values of x by completing the square.
3x^2-60x+255=0

Answers

Answer:

x=5 and x=15

Step-by-step explanation:

3x^2-60x+225=0

3x^2-60x+225/3=0/3

x^2-20x+75=0

x^2-5x-15x+75=0

x(x-5)-15(x-5)=0

(x-5)(x-15)=0

x-5=0 x-15=0

x=5 x=15

Complete 4,5,6 for 25 points.

Answers

Answer:

Step-by-step explanation:

4. A = P + Prt

   a. Solve for r

    Prt = P - A

    r = (P - A)/Pt

    b. Solve for t

         Prt = P - A

           t = (P - A)/Pr

5. Ax + By = C

   a. By = C - Ax

        y = (C - Ax)/B

   b. Ax = C - By

       x = (C - By)/A

6. y = mx + b

   a. mx + b = y

       mx = y - b

       x = (y - b)/m

    b. mx + b = y

        mx = y - b

        m= (y - b)/x

   c. mx + b = y

       b = y - mx

Model 4 + (-6) on the number line.
-4
-5
-6
--10-9
-8
3
- 2
1
--7
0
4
7
1
2
5
3
6
9
8
10

Answers

Answer:

The answer is -2

Step-by-step explanation:

start at 4 and go to the left six times

4+(-6)=4-6=-2

Anna runs a 5k in 20 minutes. What is her speed in kilometers per hour?

Answers

Answer:

15kmh

Step-by-step explanation:

Answer:

15k

Step-by-step explanation:

There is 60 mins in an hour. Since she runs 5k in 20 mins you would multiply 20 by 3 because it would equal 60. Also you would multiply 5k by 3 also.

i hoped that made sense ;-;

The data below shows numbers of hours mes Díaz volunteered at the library each month for eight months. 20,12,27,23,18,20,30,26. the mean of the data is 22 hours. What is the mean absolute deviation of the data?

Answers

Answer:

help :(

Step-by-step explanation:

Answer:4.5

Step-by-step explanation:

The point-slope form of a line that has a slope of -2 and passes through point (5,-2) is shown below.
y+2=-2(x-5)
What is the equation in slope-intercept form?
O y=-2x+12
O y=-2x+8
O y=-2x-7
y=-2x-3

Answers

Answer:

y=-2x+8

Step-by-step explanation:

When consider coordinate (5, -2)

y=-2x+8

When x=5

y= -2 x 5 + 8 = -2

Therefore the answer is  y=-2x+8

Which is a solution for the equation 2x - 3 = 33?
O n = 12
On = 13
On = 18
On = 19

Answers

Answer:

x = 18 hope this helps

(33+3=36)

(36÷2=18)

2x- 3 = 33
x = 18
hope this helps

What is the volume of a the rectangular pyramid shown below?

Answers

Answer:

The answer would be 168 cubic in.

Step-by-step explanation:

So what you want to do is do length X width X height the divide that by 3

I put a link in to help but i cant right with a mouse so sorry if it is bad.

Jillian read for 120 minutes. Sarah read for 180 minutes. Lexie said that Sarah read for 60 minutes more than Jillian.

Answers

what’s the question?
If the question is “ is she correct” than yes she is correct.

PLZZZ HELP ME I NEED HELP AND I HAVE A TIMER AND I WILL GIVE YOU BRAINLEST
On a coordinate plane, 2 lines intersect around (3.8, negative 1.5).
Given the graph of a system of equations, which statements are true about the solution? Check all that apply.
The x-value is an integer.
The x-value is between 3 and 4.
The y-value is between –2 and –1.
The x-value is positive.
The x- and y-values have the same sign

Answers

Answer:

b,c,d

Step-by-step explanation:

I just did the assignment

Answer:

b, c. d

Step-by-step explanation:

Cindy has 6 pounds of candy. She wants to give each of her friends 1/3 pound. To how many friends can Cindy give 1/3 pound of candy?

Answers

Answer:

18

Step-by-step explanation:

In order to solve this problem just divide 1/3 from 6. Multiply the reciprocals to get 6 times 3, which equals 18. This means that she can give 18 friends 1/3 pound of candy.

Hope this helps and stay safe !

Answer: 18 friends each get 1/3 pound of candy.

Step-by-step explanation: 6 ÷ 1/3 can be solved by inverting the divisor and multiplying. So it becomes 6 × 3 = 18

What are the answers

Answers

Answer:

1. D

2. D

3.B

4. there's no picture there

5. C

6. A

7. B

8. C

9. C

10. C

Step-by-step explanation:

Hope this helps :)

Classify the shape below,
6 mm
6 mm
1. kite
II. parallelogram
III. rectangle
IV, rhombus
V. square
6 mm
6 mm
note: not drawn to scale
A. III, IV, and V
B. II, IV, and V
C. ll and I
D. IV onl

Answers

Answer:

v

Step-by-step explanation:

it has two equal sides of 6 and thats all you need

Mrs. Smith has $20,000 to invest. She wants to earn $10,000 in interest. She is considering a savingsand loans bank that is offering her 5.6% interest per year. For how long will she have to leave her money in the bank in order to reach her goal of $10,000?

Answers

Answer:

Number of year to get $10,000 as interest = 7.5 year (Approx)

Step-by-step explanation:

Given:

Initial investment = $20,000

Interest on investment = $10,000

Rate of interest = 5.6% = 0.056

Find:

Number of year to get $10,000 as interest:

Computation:

[tex]Interest\ on\ investment = Initial\ investment[(1+r)^n-1]\\\\10,000 = 20,000[(1+0.056)-1]\\\\0.5=(1.056)^n-1\\\\1.5 =(1.056)^n\\\\n=7.44[/tex]

Number of year to get $10,000 as interest = 7.44

Number of year to get $10,000 as interest = 7.5 year (Approx)

What must be the length of XY if triangle ABC is
similar to triangle XYZ?

a. 8
b. 10
c. 12.8
d. 20

Answers

Answer:

x=12.8

Step-by-step explanation:

xy / 8 = 16 /10

xy = (8 * 16) / 10

xy = 12.8

Plz answer i will mark u brainiest

Answers

Answer:

1st is in II quadrant

2nd one is in IV quadrant

3rd one is on y axis as x = 0

How much interest would a bond (1,000 shares) of RMx pay each year?
Bond Cur Yield Vol Close Net Chg
MBIA 7 25 8.3 8 87 +1
SDGE 4 40 4.8 75 93.875 -2
UPS 8 20 6.2 10 134.875 +3
RMx 14 13 13.2 5 106 -3
Travelport 11 16 12.4 945 95.50 +1
JCPenney 7 97 8.1 100 94.50 -2
DeerParkISD 4 29 4.4 25 104.86 -1

A. $132
B. $14.00
C. $106
D. $13.20
E. $140

Answers

Answer:

a and e

Step-by-step explanation:

B and E for sure 6+g

HELP


What is the longest line segment that can be drawn in a right rectangular prism that is 15cm long, 8 cm wide, and 7 cm talk

Answers

Answer:

=18.38cm

Step-by-step explanation:

The longest line segment in a right rectangular prism is the diagonal that connects two opposite vertices. On the first diagram attached, the green line segment connecting A and G is one such diagonals. The goal is to find the length of segment .

Look at the attached picture. The longest segment we can draw is AG (or any of its equivalent: BH, CE, DF). Let's focus on AG for example.

We can think of AG as the hypotenuse of triangle ACG. So, we need AC first. AC is itself the hypotenuse of triangle ABC,

so we have,

[tex]AC^2 = AB^2+BC^2=8^2+7^2=113[/tex]

Now we can resume where we stopped with triangle AGC, and we have

[tex]AG=\sqrt{AC^2+CG^2}=\sqrt{113+225}=\sqrt{338}[/tex]

=18.38cm

AB
Round your answer to the nearest hundredth.
С
50°

6
?
B​

Answers

Answer:

AB ≈ 7.83

Step-by-step explanation:

Using the sine ratio in the right triangle

sin50° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{BC}{AB }[/tex] = [tex]\frac{6}{AB}[/tex]

Multiply both sides by AB

AB × sin50° = 6 ( divide both sides by sin50° )

AB = [tex]\frac{6}{sin50}[/tex] ≈ 7.83 ( to the nearest hundredth )

what’s 10% of 120 please answer

Answers

Answer:   this is the answer --->     12 :)

Step-by-step explanation:

12

this is the correct answer

Find the volume of the sphere. Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi and round your final answer to the nearest hundredth. the radius is 1

Answers

Answer:

Find the volume of the sphere.  

Either enter an exact answer in terms of π or use 3.14 for π and round your final answer to the nearest hundredth.

The radius is 1

Volume = [tex]\frac{4}{3} \pi[/tex]  or 4.19

Step-by-step explanation:

Given

Radius, r = 1

Required

Find the volume of sphere

Volume of a sphere is calculated using the following formula

[tex]V = \frac{4}{3} \pi r^{3}[/tex]

Where V = Volume and r = radius

By Substitution,

[tex]V = \frac{4}{3} \pi * 1^{3}\\\\V = \frac{4}{3} \pi * 1\\\\V = \frac{4}{3} \pi[/tex]

Solving further to get the numerical value of volume;

We have to substitute 3.14 for π

[tex]V = \frac{4}{3} * 3.14V = 4.1866[/tex]

V = 4.19 to the nearest hundredth

Answer:

4.19

Step-by-step explanation:

What is the area of the regular pentagon with 5 inch sides and apothem that measures 4.2 inches?

52.5 in2
21 in2
105in2
10.5 in2

Answers

Answer:

its 52.5. I just did it on edge

Step-by-step explanation:

The area of the regular polygon is 52.5 in².

What is area?

Area is the region bounded by a plane shape.

To calculate the area of the regular pentagon, we use the formula below.

Formula:

A = anL/2............ Equation 1

Where:

A = Area of the regular polygona = Length of apothem of the polygonn = Number of sides of each polygonL = Length of sides of each polygon

From the question,

Given:

a = 4.2 inchesL = 5 inchesn = 5 (pentagon)

Substitute these values into equation 1

A = 5×4.2×5/2A = 52.5 in²

Hence, the area of the regular polygon is 52.5 in².

Learn more about area of regular polygon here: https://brainly.com/question/8409681

Please help me solve this by today I'm in a hurry ​

Answers

Answer:

The 3rd one

Step-by-step explanation:

What creatures terrify Aeneas as he enters the realm of the dead?

Answers

Answer:

The sibyl tells Aeneas that he must find and pluck a golden bough from a tree in an ... First, however, he must find and bury the body of a dead comrade. ... spirits and monsters and eventually reach Acheron, one of the underworld's rivers. Here ... Also punished in Tartarus's realm are mortals who have sinned abhorrently

Step-by-step explanation:

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