Question 1 (Essay Worth 10 points)
(07.01, 07.02 MC)

An expression is shown below:

4ck2 + 10k2 − 16ck − 40k

Part A: Rewrite the expression by factoring out the greatest common factor. (4 points)

Part B: Factor the entire expression completely. Show the steps of your work. (6 points)

Answers

Answer 1

✿————✦————✿————✦————✿

The answer is: 2(k2−4k)(2c+5)

✿————✦————✿————✦————✿

Step:

* Consider 2ck2+5k2−8ck−20k. Do the grouping 2ck2+5k2−8ck−20k=(2ck2+5k2) +(−8ck−20k), and factor out k2 in the first and −4k in the second group.

* Factor out the common term 2c+5 by using the distributive property.

* Rewrite the complete factored expression.

✿————✦————✿————✦————✿

Answer 2

Answer:

2(k2−4k)(2c+5)

Step-by-step explanation:


Related Questions

Find the value of x.
A. 80°
B. 70°
C. 60°
D. 50°

Answers

Answer:

A

Step-by-step explanation:

80 degree becaue a triangle = 180 degress

180 - 100 = 80

ASAPPPPP!!!!!!!!!!!!!!

Answers

Answer:

297 [tex]cm^{2}[/tex]

Step-by-step explanation:

area of triangle x 4 + area of rectangle

[tex]\frac{1}{2}[/tex] x 12 x 9 x 4+ 9 x 9

A yurt, or circular tent, has a radius of 3 meters.

What is the area of the floor of the yurt?

Use 3.14 for π.

Enter your answer as a decimal in the box.

Answers

Answer:

area of yurt: 28.26 m²

formula:

area of circle: π * radius * radius

area of circle: πr²

solving steps:

(3.14)(3)²

28.26 m²

Answer:

Radius of the circular tent (r) = 3 m

Area of the floor = Area of circle = π r²/π =3.14

Area of the floor = 3.14 x 3² = 28.26 m²

Step-by-step explanation:

# Jerry Don is here#

Steve is tossing a normal quarter. He tosses the quarter 20 times and it lands on heads 16 times. If Steve tosses the quarter again, what is the probability that it lands on tails? Input your answer in fraction form.

Answers

Answer:

1/5

Step-by-step explanation:

16 out of the 20 times landed on heads, making 4/20 times it landed on tails.

16 divided by 20 is .8 which turns into 80%

100% - 80% = 20%

To simplify into a fraction:

80/100 is equivalent to 4/5 when divided by 20, leaving 1/5 to complete the fraction which later totals to 100%

Answer:

the answer is 1/2

Step-by-step explanation:

i just did it

which expression shows 48+36 written as a protuct of two factors

Answers

Answer:

12(4+3)

Step-by-step explanation:

Factor out all of the problems.

Starting with 4(12+4)

This means (4*12)+(4*4)

48+16 is the answer to this

this isn't 48 + 36

12(4+3) is next

12*4 = 48

12*3 = 36

48+36 = 48 + 36

Therefore 12(4+3) is your answer

hope that helps!

hope this is what your looking for

how many solutions does 8B + 7v - 5 equals -11 + 15b​

Answers

Answer: No solutions

- by graphing-

         First I will simplify:

8B + 7v - 5 equals -11 + 15b​

8b + 7v - 5 = -11 + 15b​

7v = -6 + 15b​

7v = -6 + 7b​

         Let's graph this and see what happens!

-> I will graph y = 7x and y = 7x - 6

-> See attached.

-> Since there are no points of intersection (they have the same slope), there is no solutions.

If the vertex of a parabola is (2,9), what is the axis of symmetry?

Answers

Answer:

x=2

Step-by-step explanation:

The Axis of Symmetry is when a line is put where it splits the parabola in the half perfectly. The vertex is where the parabola starts. The line x=2 is when it splits it into two congruent parts.

PLEASE HELP QUICKLY 25 POINTS

Answers

Answer:

○ [tex]\displaystyle \pi[/tex]

Step-by-step explanation:

[tex]\displaystyle \boxed{y = 3sin\:(2x + \frac{\pi}{2})} \\ y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 0 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{-\frac{\pi}{4}} \hookrightarrow \frac{-\frac{\pi}{2}}{2} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{\pi} \hookrightarrow \frac{2}{2}\pi \\ Amplitude \hookrightarrow 3[/tex]

OR

[tex]\displaystyle \boxed{y = 3cos\:2x} \\ y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 0 \\ Horisontal\:[Phase]\:Shift \hookrightarrow 0 \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{\pi} \hookrightarrow \frac{2}{2}\pi \\ Amplitude \hookrightarrow 3[/tex]

You will need the above information to help you interpret the graph. First off, keep in mind that although this looks EXACTLY like the cosine graph, if you plan on writing your equation as a function of sine, then there WILL be a horisontal shift, meaning that a C-term will be involved. As you can see, the photograph on the right displays the trigonometric graph of [tex]\displaystyle y = 3sin\:2x,[/tex]in which you need to replase "cosine" with "sine", then figure out the appropriate C-term that will make the graph horisontally shift and map onto the sine graph [photograph on the left], accourding to the horisontal shift formula above. Also keep in mind that the −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must be careful with your calculations. So, between the two photographs, we can tell that the sine graph [photograph on the right] is shifted [tex]\displaystyle \frac{\pi}{4}\:unit[/tex]to the right, which means that in order to match the cosine graph [photograph on the left], we need to shift the graph BACKWARD [tex]\displaystyle \frac{\pi}{4}\:unit,[/tex]which means the C-term will be negative, and by perfourming your calculations, you will arrive at [tex]\displaystyle \boxed{-\frac{\pi}{4}} = \frac{-\frac{\pi}{2}}{2}.[/tex]So, the sine graph of the cosine graph, accourding to the horisontal shift, is [tex]\displaystyle y = 3sin\:(2x + \frac{\pi}{2}).[/tex]Now, with all that being said, in this case, sinse you ONLY have a graph to wourk with, you MUST figure the period out by using wavelengths. So, looking at where the graph WILL hit [tex]\displaystyle [-1\frac{3}{4}\pi, 0],[/tex]from there to [tex]\displaystyle [-\frac{3}{4}\pi, 0],[/tex]they are obviously [tex]\displaystyle \pi\:units[/tex]apart, telling you that the period of the graph is [tex]\displaystyle \pi.[/tex]Now, the amplitude is obvious to figure out because it is the A-term, but of cource, if you want to be certain it is the amplitude, look at the graph to see how low and high each crest extends beyond the midline. The midline is the centre of your graph, also known as the vertical shift, which in this case the centre is at [tex]\displaystyle y = 0,[/tex]in which each crest is extended three units beyond the midline, hence, your amplitude. So, no matter how far the graph shifts vertically, the midline will ALWAYS follow.

I am delighted to assist you at any time.

Answer:

[tex]\pi[/tex]

Step-by-step explanation:

The trigonometric function shown on the graph is a continuous function, and so its period is the length of one wave of the function (i.e. the horizontal distance between a peak and the next peak, or a trough and the next trough).

From inspection of the graph, the horizontal distance between one peak and the next of the given function is [tex]\pi[/tex].  

Therefore, the period of this trigonometric function is [tex]\pi[/tex]

Sylvie bakes 4 trays of muffins. Each tray contains 8 muffins. She gives away 12 muffins to friends.

Let m represent the number of muffins Sylvie has left.

Which equation could be used to find the value of m?


4+8−12=m

4 + 8 + 12 = m

4 × 8 + 12 = m

4×8−12=m

Answers

Answer:

4x8-12=m

Step-by-step explanation:

4 trays x each containing 8 muffins - 12 muffins(giving away)

The graph shows △ABC and the midpoints for each segment.


What statements showing the medians of a triangle meet at a point are TRUE?

A.
The equation of the lines of the medians are x=0, y=−x+8, and y=x.

The ordered pair solution of each pair of system of equation is (0,8).


B
The equation of the lines of the medians are x=0, y=−x+8, and y=x.

The medians do not meet at one point for this triangle because one equation is a vertical line.


C
The equation of the lines of the medians are y=3x, y=4, and y=−3x+8.

The ordered pair solution of each pair of system of equation is (43,4).


D
The equation of the lines of the medians are y=3x, y=4, and y=−3x+8.

The medians do not meet at one point for this triangle because two equations have opposite slopes.

Answers

Answer: C

Step-by-step explanation:

Find the surface area of the equilateral triangular prism below.

Answers

Answer:

Area of a triangle = bh/2

Area of a rectangle = bh

The area of the triangles are the same, the area of the rectangles are the same.

triangle: 9x8/2

72/2 = 36

Rectangle: 8x14=112

There are 2 triangles and 3 rectangles so,

2(36)+3(112)

72+336= 408 in²

What does the 6 in 2/6 mean?

Answers

Hey there!

Here we have a fraction

2/6.

The 2 is the numerator, and 6 is the denominator.

How to remember where the numerator and the denominator is?

Well, please remember the following:

The Denominator is Down

Hence, 6 is the denominator of this fraction.

Hope everything is clear.

Let me know if you have any questions!

#LearningDoesn'tEnd

:-)

SOMEONE HELP PLS, GIVING BRAINLIST TO ANYONE

Answers

i might be wrong but i think it’s an ellipse since the cone seems to be slanted a bit meaning it wouldn’t be a perfect circle but i’m just giving a second opinion
I think it’s an ellipse because it’s slanted and if you look closely it kinda looks to be an ellipse

i need help on this pls

Answers

I’m eating chips rn . Maybe later

If ∠GHJ≅∠IHJ and GJ=99, what is IJ?

Answers

Answer:

99

Step-by-step explanation:

Triangles GJH and IJH are congruent, so GJ=IJ=99.

The students in a class collected data on the number of minutes some of them spend brushing their teeth every day. That data is shown in the dot plot below.

Answers

Answer:

4 minutes

Step-by-step explanation:

4 minutes has 2 dots associated with it . All other times have only 1 dot.

then 4 minutes is the most common out of the 7

I don’t understand this
7 yd 2 ft =_____ft

Answers

Answer:

23 ft

Step-by-step explanation:

A dartboard is divided into 20 sectors. Each sector is worth a point value from 1 to 20 and has shaded regions that double or
triple this value. A sector is shown below. Find the areas of the entire sector, the double region, and the triple region. Round
your answers to the nearest hundredth.
in
triple
double
The area of the entire sector is about
square inches.
The area of the double region is about
square inches.
square inches.
The area of the triple region is about

Answers

The area of each sector is the amount of space on the sector

The area of the entire region is 6.89The area of the double region is 0.75The area of the triple region is 0.46

The area of the entire sector

The area of a sector is calculated as:

A = (1/2) × r^2θ

For the entire sector, we have:

θ =  π/10

r = 6.625

So, we have:

A = (1/2) × 6.625^2 × π/10

Evaluate the product

A = 6.89

The area of the double region

For the double region, we have:

θ =  π/10

r = 6.25

So, we have:

A = Complete sector - (1/2) × r^2θ

A = 6.89 - (1/2) × 6.25^2 × π/10

Evaluate the difference

A = 0.75

The area of the triple region

For the triple region, we have:

θ =  π/10

R = 4.125

r = 3.75

So, we have:

A = (1/2) × R^2θ - (1/2) × r^2θ

A = (1/2) × 4.125^2 × π/10 - (1/2) × 3.75^2 × π/10

Evaluate the difference

A = 0.46

Hence, the area of the triple region is 0.46

Read more about sector areas at:

https://brainly.com/question/16736105

Jen bought a cinnamon bun for $3. 42 and a giant candy cane for $5. 76. She then used the rest of her money to buy a notebook. She spent a total of $12. 83. How much money did Jen spend on the notebook? (5 points)


$9. 41

$7. 07

$3. 65

$2. 34

Answers

Answer:

She spent $3.65 on the notebook

Step-by-step explanation:

5.76 + 3.42 = $9.18

12.83 - 9.18 = $3.65

Jen buys 4 tires for $272. Each tire was the same price.

What is the cost of 1 tire

Answers

Answer: 1 tire would cost 68$

Step-by-step explanation:

can I have brainliest pls <3

Answer:

here we've been given the cost of 4 tires. and we've to find the cost of one tire.

in such a situation , we usually divide the cost of " n " number of tires by " n " ( where , n = number of tires )

so , here we go -

_____________________________

[tex]\bold{cost \: of \: 4 \: tires = 272 \: dollars }\\ \\ cost \: of \: 1 \: tire = \frac{272}{4} \: dollars \\ \\ \dashrightarrow \: 68 \: dollars[/tex]

_____________________________

hope helpful :D

I'd like someone to help me, please!
Julie has 9 rings in her jewelry box. Five are gold and four are silver. If she randomly
selects 3 rings to wear, find each probability:
a) P(exactly 2 silver)
b) P(at least 2 gold)
c) P(all 3 gold or all 3 silver)
d) P(at least 1 silver)

Answers

I think it’s c I’m not sure though

can some1 explain to me how to do this

Answers

Answer:

  -5 = log₄(0.0009765625)

  4 = log₄(256)

Step-by-step explanation:

Apparently, you want to express a number as a logarithm. That is, you want to find y for some value of x such that ...

  x = log₄(y)

Taking antilogs, this is ...

  y = 4^x

__

For x =-5, the log expression would be ...

  y = 4^-5 = 0.0009765625

  log₄(0.0009765625) = -5

__

For x = 4, the log expression would be ...

  y = 4^4 = 256

  log₄(256) = 4

Which statements are correct about the two-way frequency table? check all that apply.

Answers

The table displays the quantitative data, two teachers do not wear glasses, and a total of 6 teachers were polled. Then the correct option is A, C, and E.

What is decision-making?

The process of making choice is by identifying the correct decision, gathering information, and assessing alternative solutions.

The table is shown below.

                        Wear glasses      Don't wear glasses      Total

Student                  32                              97                       129

Teacher                   4                                2                          6

Total                       36                              99                       135

The table displays the quantitative data.

Two teachers do not wear glasses.

A total of 6 teachers were polled.

More about the decision-making link is given below.

https://brainly.com/question/3369578

Answer: The Answer is B and E

Step-by-step explanation:

Robert had 9 golf balls. He gave Tim 4. How many did he have left?
No encuentro la respuesta

Answers

Answer: 5.

Step-by-step explanation: Originally, Robert had 9 golf balls.  Then, he gave 4 to Tim, so that gives us an immediate clue that this is subtraction.  We can solve this problem by the following:

9 - 4 = ?

9 minus 4 equals 5, so we can fill in the question mark with our answer:

9 - 4 = 5.

Therefore, your answer is 5.

Have a great day! :)

5

Step-by-step explanation:

It is subtraction problem 9 take away 4 and you are left with 5

HELP ASAP PLEASE
NO LINKS

A computer was purchased at a sale at a discount of 15%. If $688.50 was paid for it,
and this price includes 8% sales tax, then what was the original price without tax or
discount?

Answers

Based on the discount rate and the sales tax, the original price of the computer was $750.

What was the original price?

First find the price before tax. This can be found as:

= Computer price / (1 + tax)

= 688.50 / (1 + 8%)

= $637.50

Then find the price without the discount as:

= Price without tax / (1 - discount rate)

= 637.50 / (1 - 15%)

= $750

Find out more on discounts at https://brainly.com/question/1548141.

Kate has five sandwiches to share with three of her friends. If each person gets the same amount of sandwich, how much will each person get?

Answers

Answer: Each person gets 1 1/4 of a sandwich.

Step-by-step explanation: Kate is sharing five sandwiches, and there are three friends with her too.  Each person gets a sandwich, but you have to cut the last one three times to make fourths for everyone.  So, each person gets 1 and 1/4 of a sandwich.

Hope this helps! :)

If each person gets the same amount of sandwich then each person get

is 5/3.

What is Fraction?

The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.

The number of parts into which the whole has been divided is shown by the denominator. It is positioned in the fraction's lower portion, below the fractional bar.How many sections of the fraction are displayed or chosen is shown in the numerator. It is positioned above the fractional bar in the upper portion of the fraction.

We have,

Total sandwiches = 5

Total number of people = 3

Now, we have to equally divide 5 sandwiches among 3 Friends.

So, Each person get

= 1 full sandwich and 2/3 part

= 1 2/3 parts

= 5/3

Learn more about Fraction here:

https://brainly.com/question/10354322

#SPJ7

Question 8 of 10
Which of the following are exterior angles? Check all that apply.
A. 4
B. 2
C. 1
D. 5
E. 3
F. 6

Answers

Answer:

A triangle's exterior angle is the angle established by one of the triangle's sides and the extension of one of the triangle's adjacent sides.

Step-by-step explanation:

FACTS:

Each vertex of a triangle has two exterior angles.

It's worth noting that the "outside" angles that are "vertical" to the angles inside the triangle aren't called to as triangle exterior angles.

1. The given triangle's angles are 1, 5, and 6.

2. Angle 3 is perpendicular to angle 5 on the inside.

3. The triangle's outside angles are 2 and 4.

The correct answers are A and B.

A triangle's exterior angle is the angle created by one of the triangle's sides and the extension of one of the triangle's adjacent sides.

y = 4

2x + y = 14
solve using substitution

Answers

So I think it is x= 5 because you have to do 2*5 =10+4= 14. So x equals to 5.

i need help fast pls

Answers

Answer:

Answer:

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Step-by-step explanation:

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ANSWER

Rachel's starting salary was $45,000 per year.
Rachel received a 3.7% raise every year after her first
year. How much is Rachel making now, & years later?

Answers

Answer:

After 1 year $46,665

Vf = Vi ( 1 + r/m) ^ tm

Step-by-step explanation:

Vf = Final Value

Vi = Initial Value ($45,000)

r = Interest Rate (3.7%, put in decimal form so .037)

m = Compound Rate (amount of times it increases every year, for this it would be 1)

t = Amount of years you are forecasting

45000 * (1 + .037)²

45000 * (1.037)²

45000 * 1.075369

$48,391.605 in 2 years

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