Factor fully. Show all work.


a) 27m²−3


b) 10x³+5x²−50xy−25y

Answers

Answer 1

Answer:

A=

[tex]3(3m + 1)(3m - 1)[/tex]

Step-by-step explanation:

[tex] {27m}^{2} - 3[/tex]

Factorise

[tex]3( {9m}^{2} - 1)[/tex]

Rewrite it

[tex]3(( {3m)}^{2} - {1}^{2} )[/tex]

[tex]3(3m + 1)(3m - 1)[/tex]


Related Questions

i met at the movies at 6:45 we were picked up at 8:15

Answers

Answer:

1 hour and 30 minutes

[tex]t = ch + td = fh[/tex]

where ch is current hour, td is time distance, and fh is final hour.

to find td, we must subtract the number of minutes in ch and fh and then base how many hours passed off of the minutes.

[tex]cm(45) - fm(15) = 30[/tex]

If half an hour passed, we can guess that only another hour passed, therefore we can make a final equation using eh for "estimated hour".

[tex]t = (cm - fm) + eh = 1:30[/tex]

A ring is reduced to £840. This is a saving of 40% of the original price. What was the original price

Answers

The answer is 1400, good luck

A store sells cooking oil of two different brands in bottles of the same size. The table below and the equation each show the price (y), in dollars, of different number of bottles of oil (x):


Brand A
Number of Bottles, x Price (dollars), y
2
22
3
33
4
44
5
55


Brand B
y = 17x

How many dollars more is the price of 8 bottles of brand B oil than the price of 8 bottles of brand A oil?
$5
$6
$28
$48

Answers

Answer:

$48

Step-by-step explanation:

The number of dollars more is the price of 8 bottles of Brand B than the price of 8 bottles of Brand A oil is:

                       $   48

Step-by-step explanation:

Brand A--

Number of bottles (x)       Price (dollars) y

2                                                   22

3                                                   33

4                                                   44

5                                                   55

The function that represents the relation between the price of the bottles and the number of bottles is:

              y=11x

Brand B--

Also, the price of the bottles depending on the number of bottles is:

                Y=17x  

According to Brand A the price of 8 bottles is:   y=11×8=$ 88

and according to Brand B the price of 8 bottles is: y=17×8= $ 136

Also, the difference in the price of Brand B to that of Brand A for 8 bottles is:

      $ 136-$ 88

   = $ 48

Where are the zeros for f(x)= 1/2 sin 2x−2 on the interval [0,2π]?

A. x=0, π/2, π, 3π/2, 2π
B. x=0 , π, 2π
C. none
D. x= π/2, 3π/2

Answers

The answer would be b because

ok but can u crank 90s

Answers

I could crank you………..

If h(x) = |2x−6| -2, then what is h(-1)

Answers

Answer:

[tex]h(-1)[/tex] [tex]-h[/tex]

Whats the answer to this
Find n 2\8 = 14n n=?????

Answers

Answer:

n = ±0.13363

Step-by-step explanation:

2/8 - (14*n*(n))=0                                              • Use this formula for proof

2/8 = 1/4                                                            A^2 - AB + BA - B^2 =

1/4 - 14n^2 = 0                                                   A^2 - AB + AB - B^2 =

14n^2 = 14n^2 ÷ 1 = 14n^2 • 4 ÷ 4                      A^2 - B^2

1 - (14n^2 • 4) ÷ 4 = 1 - 56n^2 ÷ 4

1 - 56n^2 ÷ 4 = 0

1-56n2 ÷ 4 • 4 = 0 • 4

1-56n^2  = 0

56n^2 = 1

n^2 = 1/56 = 0.018

n ≈ ±0.13363

Find x. A) 3 B) 3.75 C) 4.25 D) 5

Answers

Answer: B

Step-by-step explanation:

By the intersecting chords theorem, (3)(5)=4x, meaning x=3.75.

What is this? Sin? Cos? Inverse Sin? Inverse Cos?​

Answers

Answer:

sin

Step-by-step explanation:

sin=O opposite/hypotenuse

What is the mean absolute deviation of 3 3 1 9 3 1 8

Answers

Answer:

2.57 or rounded to 1 sig digit just 3

Consider this cone. a cone. point a is the vertex, b is the height, c is the radius, and d is the diameter. identify the parts of the cone. which letter indicates the height? which letter indicates the radius? which letter indicates the diameter? which letter indicates the vertex?

Answers

The parts of the cone can be explained as;

The height is ABThe radius is CBThe diameter is CDThe vertex is A

What is a cone ?

A cone can be regarded as a three-dimensional shape which has a vertex at the top of it.

Considering a cone as described in the question, we could see that the distance from point A to B will gives us the height which is the vertical length.

Therefore, Vertex is at the top of the cone which is point A.

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Answer:

b

c

d

a

Step-by-step explanation:

;)

Mallory ordered a pizza with a 17-inch diameter. ricky ordered a pizza with a 20-inch diameter. what is the approximate difference in the area of the two pizzas?

Answers

Answer:

Ok so, pizza one is 17 inches in diameter, which in order to find area of a circle/circumferences, you first need to divide by 2, in this case 17/2=8.5, then square it, 8.5*8.5=72.25, then multiply by PI (3.14 in this case.) 72.25*3.14=226.865 which can round up to 227. Or 226.9

Step-by-step explanation:

Divide by 2

Square

Multiply by pi. (3.14)

Beth's fitness tracker shows that she logged 4,300 steps at work today. beth wants to get
more steps in, so she goes for a jog after work. the fitness tracker shows she averages 100
steps per minute while jogging. you can use a function to approximate the total number of
steps she will have logged today after she jogs for x minutes after work.

Answers

Answer:

[tex]4300 + 100x[/tex]

Step-by-step explanation:

The [tex]4300[/tex] represents the base amount of steps she took during work. Even if she jogs 0 minutes, this will not change.

The [tex]100x[/tex] represents how many steps she will take from jogging. The [tex]100[/tex] is how many steps she will take per minute, and the [tex]x[/tex] is the number of minutes she will jog.

Adding these together will give us our function [tex]4300 + 100x[/tex] to see how many steps she will log.

That is the answer

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Which expression is equal to -4-9?

Answers

Answer:

-4+(-9)

Step-by-step explanation:

if you have two negatives in an equation next to each other like -4-9 then it is basically adding the two but will just equal a negative sum

simultaneous eqautions
3x+2y=16
2x+y=9

Answers

Answer:

(2, 5 )

Step-by-step explanation:

3x + 2y = 16 → (1)

2x + y = 9 ( subtract 2x from both sides )

y = 9 - 2x → (2)

substitute y = 9 - 2x into (1)

3x + 2(9 - 2x) =16

3x + 18 - 4x = 16

- x + 18 = 16 ( subtract 18 from both sides )

- x = - 2 ( multiply both sides by - 1 )

x = 2

substitute x = 2 into (2)

y = 9 - 2(2) = 9 - 4 = 5

solution is (2, 5 )

multiplying eqn (1) by 2 and eqn (2) by 3 and substracting
6x+4y = 32
6x+3y = 27
we get,
y = 5
putting y = 5 in eqn (2) we get
2x + 5 =9
2x = 9 -5
2x = 4
or x = 2
therefore x = 2 and y =5.
(2,5)


A ball is projected up into the air from the surface of a platform to the ground below. The height
of the ball above the ground, in feet, is modeled by the function f(t) = -16t2 + 96t + 112, where
t is the time, in seconds, after the ball is projected.
State the coordinates of the vertex. Explain what it means in the context of the problem

Answers

The vertex of the quadratic function is of (3,256), which means that a maximum height of 256 feet is obtained after 3 seconds.

What is the vertex of a quadratic equation?

A quadratic equation is modeled by:

[tex]y = ax^2 + bx + c[/tex]

The vertex is given by:

[tex](x_v, y_v)[/tex]

In which:

[tex]x_v = -\frac{b}{2a}[/tex][tex]y_v = -\frac{b^2 - 4ac}{4a}[/tex]

Considering the coefficient a, we have that:

If a < 0, the vertex is a maximum point.If a > 0, the vertex is a minimum point.

In this problem, the height of the ball is given by:

f(t) = -16t² + 96t + 112.

Hence the coefficients are a = -16 < 0, b = 96, c = 112, and the coordinates of the vertex are:

[tex]x_v = -\frac{96}{2(-16)} = 3[/tex][tex]y_v = -\frac{96^2 - 4(-16)(112)}{4(-16)} = 256[/tex]

The vertex of the quadratic function is of (3,256), which means that a maximum height of 256 feet is obtained after 3 seconds.

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A cross section of an attic is shaped like a trapezoid. It has an area of 37.4 square meters one base is 6.4 meters and the other base is 12.3 meters long. What is the height of the cross section.
I’m really confused, please give an easy and understanding answer.

Answers

Answer:

4meters

Step-by-step explanation:

friend ,for you to calculate this question you have to know the formula which is 1/2 h (a + b) x height. then use the procedure written in the picture of which you should end up dividing as I have then you will eventually get your answer but the key point is that you should know the formula and the number at the right side is the one dividing the area (37.4) not the area dividing the number at the right side which is 9.35 good day.

Percentage:
A shop has 150 gaming pc. They sold 30.
Find the percentage of the PC that they have not sold.

Answers

20 percent
If you cross multiply 30 w/ 100 and then divide it by 150 you will get 20.

what is the 8th term in the following sequence? 27, 39, 51, 63

Answers

Answer:

the 8th term = 111

Step-by-step explanation:

39-27=12

51-39=12

63-51=12

It’s clear that ,in this sequence we add 12 each time to a term to get the next term.

This means that this is an arithmetic sequence with a common difference of 12.

Therefore,

Term1 = 27  ; Term2 = 39  ; Term3 = 51  ; Term4 = 63

Term5 = 75

Term6 = 87

Term7 = 99

Term8 = 111

Method 2 :

Un = U1 + (n-1)r

r is the common difference = 12

U1 = 27 is the first term

Then

U8 = 27 + (8-1)×12

     = 27 + 7×12

     = 27 + 84

     = 111

find the solution to the system of equations. Y=2x+2

Answers

Answer:

[tex](0, 2)[/tex]

Step-by-step explanation:

From the image (or by just looking at the equations and know what each part represents) you can tell the solution is (0;2)

Analitically, you already have them in a [tex]y=\square[/tex] form, so let's compare the two RHSs: [tex]2x+2=-x+2 \rightarrow 3x=0 \rightarrow x=0[/tex]. Let's replace the value in either to find [tex]y=0[/tex]

HELP ASAP PLS
Which graph represents function gif 9(x) = ƒ(2x)?
(Purple graph is the f(x))

Answers

Answer:

  A (correctly marked)

Step-by-step explanation:

The graph of g(x) = f(2x) will be the graph of f(x) horizontally compressed by a factor of 2. The horizontal compression moves each point on f(x) to a distance half as far from the y-axis.

__

The graph of f(x) shows a vertical asymptote at x=2 so the graph of g(x) will have a vertical asymptote at x=1. Only Graph A shows a vertical asymptote at x=1.

7. The points ​(−2​,−4​) and ​(5​,6​) are the endpoints of the diameter of a circle. Find the length of the radius of the circle.

Answers

Answer

6.10

Use the distance formula:

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

where (x1, y1), (x2, y1) are points

[tex]\rightarrow \sf d =\sqrt{(5-(-2))^2 + (6-(-4))^2}[/tex]

[tex]\rightarrow \sf d =\sqrt{(7)^2 + (10)^2}[/tex]

[tex]\rightarrow \sf d =\sqrt{149}[/tex]

This is the length of diameter.

Then radius:

· diameter/2

[tex]\sf \cdot \dfrac{\sqrt{149 } }{2}[/tex]

[tex]\sf \cdot 6.103277808[/tex]

[tex]\sf \cdot 6.10 \ \ (rounded \ to \ nearest \ hundreth)[/tex]

19. The results of a board game are shown in the table below.
Player
Scores
Joseph
500
Sarah
-1,500
Malachi
-2,200
Tyson
400
Shaun
-600
Summer
-300
I
What is the total of the players' scores?

Answers

the total of the players’ scores is -3700

can someone help me with this problem? Thank you!

Answers

In order to find the answer, we need to multiply 15 x 12 then find the exponent based on the object shape (2D/3D).

15 x 12 = 180.

If the object is 2D, the exponent is 2 (squared). If the object is 3D, the exponent is 3 (cubed). We can tell that the object is 2D, so the exponent is 2.

The answer is 180^2, or 180 squared.

I was hoping that you'd give me Brainiest as I'm trying to rank up. If you want to, please do!

Answer:

The answer is 180 squared.

Step-by-step explanation:

Happy to help!

What ratio is equivalent to the rate 40 miles / 1 hour

Answers

Answer:

40:1

Step-by-step explanation:

hope this helps:)

R is the 4th quadrant region enclosed by the x-axis and the curve y = x^2 - 2kx, where k>0. find the value of k so that the area of the region r is 36 square units.
a. 2
b. 3
c. 4
d. 6
will vote brainliest, like, and rate!

Answers

Observe that

y = x² - 2kx = x (x - 2k)

has roots at x = 0 and x = 2k. Since the leading coefficient is 1 > 0, the parabola opens upward, and in particular this means the x-axis lies above the curve.

We can compute the area of R by integrating:

[tex]\displaystyle \int_0^{2k} |x^2-2kx| \, dx = - \int_0^{2k} (x^2-2kx) \, dx \\\\ = kx^2 -\frac{x^3}3 \bigg|_{0}^{2k} \\\\ = \frac{4k^3}3[/tex]

Solve for k :

[tex]\dfrac{4k^3}3 = 36 \implies k^3 = 27 \implies \boxed{k=3} ~~~~ (B)[/tex]

do the math please. i need it nowwwwww

Answers

Using algebraic expressions, the value of x in the diagram given is calculated as: x = 4

What is an Algebraic Equation?

An algebraic equation is an equation that has an unknown variable (i.e. x) and digits, which can be used to solve a problem.

Algebraic expression for Mat A is: 4x + 3

Algebraic expression for Mat B is: 2x + 11

We would have the following algebraic equation:

4x + 3 = 2x = 11

Solve for the value of x

4x - 2x = 11 - 3

2x = 8

x = 8/2

x = 4

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Find the value of x and y

Answers

Answer:

x = 26, y = 120

Step-by-step explanation:

First we will find x.

We know that 3x-18 = 2x+8 because they are corresponding angles

Now we can solve for x

3x-18 = 2x+8 | subtract 2x from both sides

x-18 = 8 | add 18 to both sides

x = 26

Now we can find y. We know that 3x-18 and y are supplementary (add up to 180) since they are a linear pair (adjacent angles that form a line)

This means we can solve for y using the following :

3x-18 + y = 180 | substitute x for 26

3(26)-18 + y = 180 | simplify

60 + y = 180 | subtract 60 from both sides to isolate y

y = 120

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Please help me out! Need this done ASAP!

Answers

Answer:

a. power of a point

b. CE = 4.6

Step-by-step explanation:

a. the power of a point theorem states that BE*BC = BA*BD

b. using the equation above, find CE:

BE * 10 = 3 * 18

BE = 5.4

CE = BC - BE = 10-5.4 = 4.6

4^3 times 4^? = 4^-3. what number is ?

Answers

Answer:

x = -6

Step-by-step explanation:

Let[tex] \: 4^3\times 4^{x}=4^{-3}[/tex]

[tex] \implies 4^{3+x}=4^{-3}[/tex]

[tex] \implies {3+x}= {-3}[/tex]

[tex] \implies {x}= {-3-3}[/tex]

[tex] \implies {x}= {-6}[/tex]

[tex] \implies\huge{\red{ 4^3\times 4^{-6}=4^{-3}}}[/tex]
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Which tool would a nation use to try and protect its domestic industries?quotaimportscomparative advantagebalance of trade 5. How does the author use the caterpillar andbutterfly as metaphors for Francisco'sexperience? most of the volume of an atom is occupied by ? At which position is the northern hemisphere experiencing winter?The image includes the position and tilt of Earth in its orbit around the sun. Earth is tilted away from the sun in position A. In position B, the sun shines evenly on Earth from pole to pole. Earth is tilted toward the sun in position C. In position D, the sun shines evenly on Earth from pole to pole.Public Domain Point A Point B Point C Point D GIVING BRAINLIEST!!!Read the excerpt from the article Amazing Plants:There are a surprising number of plants that are carnivorous, or feed on meat. One of the most well-known carnivorous plants is the Venus flytrap. This carnivore lives in warm, swampy areas where it feeds on flies and any other insect unfortunate enough to land on one of its round, spiky leaves. The leaves are motion-sensitive, and the slightest touch causes a leaf to snap shut, trapping the prey behind a prison of spikes.Pitcher plants are another quiet carnivore. The plants are long, pitcher-like tube shapes, with wide bottoms full of water to catch and digest their prey. Pitcher plants use different strategies to attract prey. Some give off sweet smells, while others produce nectar. Pitchers have been known to consume anything from insects to small lizards and rodents.Read the article Trapped by a Predator:When I was 12, I went on vacation to the Wilmington, North Carolina area. While there, my family and I went on a hike in the Croatan National Forest, a true coastal forest that is bordered on three sides by water. As I traversed the boardwalk, I caught a glimpse of something pink in my peripheral vision. I stopped and bent down to inspect the mysterious looking specimen. It had long, sharp-looking white teeth and a large, pink mouth. Upon closer inspection, I noticed little droplets of liquid around the rim. Inside its mouth, there were six tiny hairs, three on the top and three on the bottom. While I was examining the unknown object, I saw a fly zoom in and land inside the mouth. I observed as it wandered around the reddish-pink, fleshy surface and brushed against one of the hairs. What happened next seemed like something out of a horror story. All of a sudden, the mouth snapped shut, and the teeth made a prison, trapping the poor fly inside. I witnessed the fly fighting against the spiky teeth, trying to escape, but it was an unsuccessful struggle. When my mother caught up to me on the path, I showed her the slayer, and she explained that the fly eater was the plant called a Venus flytrap. In that moment, I wanted to learn more about this carnivorous flora.I became a botanist because of that first encounter with the predatory plant. Over the years, I learned so much more about the Dionaea muscipula, better known as the Venus flytrap. For example, the liquid around the rim of its "mouth" is actually a sweet nectar that lures prey. In addition, the six tiny hairs, called trichomes, are like little sensory time bombs. This means when an insect touches a trichome, a timer is set for 20 seconds. If there is a second touch within the 20-second period, the mouth clamps down and traps the prey. The third movement signals the plant's digestive juices to start breaking down the insect. In about ten days, the Venus flytrap reopens and any part of the insect that didn't get digested falls out. It is an amazing process!Because of my experience in North Carolina all those years ago, I decided to become a botanist and specialize in carnivorous plants. I have studied pitcher plants, sundews, water wheels, cobra lilies, and more. I never bore learning about the different traps, like suction traps and sticky traps, that carnivorous plants use to snare their prey. In fact, you could say I was trapped by the Venus flytrap, that meat-eating predator, when I first laid eyes on it.What information does the reader learn from Amazing Plants that is missing in Trapped by a Predator? A description of the author's vacation to North Carolina A description of the Venus flytrap's round, spiky leaves The scientific name of the Venus flytrap, Dionaea muscipula The technical name of the hairs inside the Venus flytrap's mouth What should you do before and after each study session? play your favorite game on your phone so you are relaxed. reach out to your friend to ask questions. review your notes to help you remember the important topics. take a long nap so you are well rested. If an economy experiences increasing opportunity costs with respect to two goods, then the production possibilities curve between the two goods will be Help please lol lol :)))) CAN SOMEONE PLEASE HELP ME WITH THIS QUESTION !! 3 5 + 15 5 X-x=8r=3 Find the measure (in degrees) of the central angle subtended by the arc length of 8 centimeters Si una persona no nace en los Estados Unidos, A. puede llegar a ser ciudadano por el proceso de naturalizacin. B. no puede ser ciudadano legal nunca. C. tiene que aprender ingls para ser ciudadano. Part BWhat do radio waves carry? please help me i really don't understand it the hypotenuse of a right triangle has endpoints (2,7) and (11,-5) what is the perumeter of the triangle? How did the Myceneans become so powerful? 8. Sabrina works in a restaurant. The dessert of the day is a slice of apple pie. Today, Sabrina served 33 slices of pie to her customers. If there are 8 slices per pie, how many pies did Sabrina serve today? 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