Which of the following is a factor of the expression 24x^2-30x-9?
Group of answer choices

12x+1

4x-3

2x+3

4x+1

Answers

Answer 1

Answer:

4x + 1

Step-by-step explanation:

24x² - 30x - 9 ( factor out 3 from each term )

= 3(8x² - 10x - 3) ← factor the quadratic

consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 8 × - 3 = - 24 and sum = - 10

the factors are + 2 and - 12

use these factors to split the x- term

8x² + 2x - 12x - 3 ( factor the first/second and third/fourth terms )

= 2x(4x + 1) - 3(4x + 1) ← factor out (4x + 1) from each term

= (4x + 1)(2x - 3)

then

24x² - 30x - 9 = 3(4x + 1)(2x - 3) ← in factored form

so (4x + 1) is a factor of the expression


Related Questions

If the rise is 6 and the run is 2, what is the slope?
4
3
8
-3

Answers

Answer:

3

Step-by-step explanation:

[tex]\frac{rise}{run} =\frac{6}{2}=3[/tex]

Hope this helps!

The slope is [tex]\frac{rise}{run} =\frac{6}{2} =3[/tex]

Thus the slope is 3.

Which expressions are equivalent

Answers

I think it might be answer B.

what shape are these​

Answers

Answer:

Those are quadrilaterals

Answer: Square Rhombus

Step-by-step explanation:

The percentage of sales tax is 6%. What is the sales tax on a skateboard that costs $98?

Answers

Answer:

$5.88

Step-by-step explanation:

Step 1: Multiply 6 by 98.

6 × 98588

Step 2: Divide 588 by 100.

588 ÷ 1005.88

Therefore, the sales tax price is $5.88.

Answer:

I believe it would be $5.88

Which expression is equivalent to 5x+10y-15?
5(x-2y-3)
5(x+5y-10)
5(x+2y-3)
5(x+2y-15)

Answers

it’s the last answer

Answer:Third optionoption

Step-by-step explanation:

expand and simplify x(x-4)(x-1)​

Answers

Answer:

x^3 - 5x^2 +4x

Step-by-step explanation:

x(x-4)(x-1)​

(x^2-4x)(x-1)

x^3-x^2-4x^2+4x

simplify

x^3-5x^2+4x

Answer:

Expand:

This is in its expanded form.

Simplify:

First do the x and the (x-4)

distribute the x

(x^2-4x)

Then FOIL or draw you grid and multiply out.

x^2 times x = x^3

x^2 times -1 = -x^2

-4x times x = -4x^2

-4x times -1 = 4x

Combine like terms.

x^3 + (-4x^2 -x^2) + 4x

Answer : x^3 - 5x^2 + 4x

2x+5y=0
3x-4y=23
solve the following simultaneous equation

Answers

Answer:

[tex]x = 5[/tex], [tex]y = -2[/tex]

Step-by-step explanation:

[tex]2x + 5y = 0[/tex]

[tex]3x - 4y = 23[/tex]

By using substitution:

[tex]2x + 5y = 0[/tex]

[tex]2x = -5y[/tex]

[tex]x = -\frac{5}{2}y[/tex]

[tex]3x - 4y = 23[/tex]

[tex]3 (-\frac{5}{2} y) - 4y = 23[/tex]

[tex]-\frac{23}{2} y = 23[/tex]

[tex]y = -2[/tex]

[tex]x = -\frac{5}{2} y[/tex]

[tex]x = -\frac{5}{2} (-2)[/tex]

[tex]x = 5[/tex]

50 pointsss tysm nnnnnn

Answers

Answer:

1 batch of sky blue paint:

blue paint = 2 cupswhite paint = 1 gallon

Clare can make 2 batches of sky blue paint by multiplying the components by 2:

2 batches of sky blue paint:

blue paint = 2 × 2 = 4 cupswhite paint = 1 × 2 = 2 gallons

So she will need 4 cups of blue paint and 2 gallons of white paint to make 2 batches of sky blue paint.

To make a mixture that is a darker shade of blue, increase the proportion of blue paint and reduce the proportion of white paint.

To make a mixture that is a lighter shade of blue, increase the proportion of white paint and reduce the proportion of blue paint.

Please help me ASAP!!!!!!

Answers

Answer:

The last one

Step-by-step explanation:

A positive multipled by a negative equals to negative

If a 16-ounce can of soda has 45 calories per 8 ounces, how many calories are in the can?

Answers

Answer: 90

Step-by-step explanation:

if its 45 for 8 ounces 8+8=16 so just do 8 times 2 to get 16 ounces and do 45 times 2 to get 90.

Find 20% of 75:please help

Answers

Answer:

hi its 15

Step-by-step explanation:

20% as a decimal is 0.20

0.20 x 75 is 15

give brainliest? (click the crown at the top)

Find the measures of the numbered angles in rhombus ABCD .
look for all four measures numbered in the photo

Answers

Answer:

<1=54, <2=36, <3=90, <4=36

Step-by-step explanation:

in the rhombus shown, there are 4 congruent right triangles because the disgonals of a rhombus are perpendicular and the sides of a rhombus are congruent. We already know that the larger acute angles are all 54 degrees and we can use triangle sum to find that the smaller acute angles are all 36 degrees. Obviously the right angles are 90 degrees, so we can look at the picture and find the marked angles.

If continuous random variable X is normally distributed, with µ = 8.7 and σ = 3.9, what is P(X > 14)?

12.30%
87.70%
91.31%
8.69%

Answers

Answer:

I believe it is number 3.

answer this please
prove triangle are congruent if the two column proof​

Answers

Answer:

Step-by-step explanation:

In the figure, j∥k and m∠1 = 63°.

What is the m∠4?

Enter your answer in the box.

°

Line t diagonally crossing parallel lines j and k (reading from top to bottom). Angles formed by t crossing j are labeled one through four, starting at top right and going counterclockwise, where angle one is acute. Angles formed by t crossing k are labeled five through eight, starting at top right and going counterclockwise.

Answers

Answer: 117

Step-by-step explanation:

Answer: 117

Step-by-step explanation: K12 Quiz, The answer above is correct.

Solve 3x - 6 > 8 using inverse operations

Answers

Answer:

x > 14/3

Step-by-step explanation:

3x > 8 + 6

3x > 14

x > 14/3

Answer:

x > 14/3

Step-by-step explanation:

[tex]3x-6 > 8\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x > \frac{14}{3}\:\\ \:\mathrm{Decimal:}&\:x > 4.66666\dots \\ \:\mathrm{Interval\:Notation:}&\:\left(\frac{14}{3},\:\infty \:\right)\end{bmatrix}[/tex]

[tex]\mathrm{Add\:}6\mathrm{\:to\:both\:sides}[/tex]

[tex]3x-6+6 > 8+6[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]3x > 14[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}3[/tex]

[tex]\frac{3x}{3} > \frac{14}{3}[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]x > \frac{14}{3}[/tex]

[RevyBreeze]

In the data set (0,-1);(-2,4);(-4,-8);(-1,5);(2,1);(3,-2);(-1,2)},which point is a possible outlier?

Answers

If it’s possible just graph:
Here you can see (-4,-8) is far away from the other points.

If you want a mathematical explanation basically look for trends in the data, and the rest of the points trend negative linear.

If you want to use formulas or equations there’s a very complicated one online, that is very difficult to understand.

(3 4.1. A book is bought for R 50 and sold for R80.What is the percentage profit? unntmont?​

Answers

Answer:60%

R80-R50=R30

R30/R50*100%=60%

Step-by-step explanation:

Find the length of AB

Answers

Answer:

D

Step-by-step explanation:

calculate AB using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = A (4, 2 ) and (x₂, y₂ ) = B (9, 10 )

AB = [tex]\sqrt{(9-4)^2+(10-2)^2}[/tex]

     = [tex]\sqrt{5^2+8^2}[/tex]

     = [tex]\sqrt{25+64}[/tex]

     = [tex]\sqrt{89}[/tex]

     ≈ 9.4 units ( to 1 dec. place )

Answer:

[tex]D:\:about\:9.4\:units[/tex]

Step-by-step explanation:

[tex]d=\sqrt{(x_{2}-x_{1})^2 +(y_{2}-y_{1})^2 }[/tex]

[tex]AB =[/tex] [tex]\sqrt{(9-4)^2+(10-2)^2}[/tex]

[tex]=\sqrt{5^2+8^2}[/tex]

[tex]=\sqrt{25+64}[/tex]

[tex]=\sqrt{89}[/tex]

[tex]9.4\:\:units\:[/tex]

I need helpppppppppppppppp

Answers

Answer:

b 60 -4x 50 +2x=2,800 is 50 +. 2x

PLEASE HELPPPPPPPPPP!!!! AI HAVE 10 MINUTES LEFTTTTT

Answers

The formula is in a quadratic formula shape: [tex]y = ax^2+bx+c[/tex]

The function is negative since the value 'a' the coefficient of x^2 is negative meaning that the quadratic function is facing downards. If you don't get this explanation, take a look at the diagram I uploaded.

That means the highest point of the graph is its vertex.

But we must find where the vertex is at or the 't' value.

   't' value at which vertex is = [tex]-\frac{b}{2a} =-\frac{16}{2*(-16)} =\frac{1}{2}[/tex]

Now plug this 't' value into h(t) to find the maximum height, and we will get 36 feet.

Hope that helps!

What is 10,274 - 100,000

Answers

Answer:

_89,726

Step-by-step explanation:

This would be a negative answer in less you mean 100,000 - 10,274.

This would be negative because 10,000 per say can't subtract 100,000 in less it goes on the negative side.

But if you meant 100,0000-10,274 it is the same answer just with no nefative sign

Hope this heos have a great day

If a total of 1,176 dancers at a beyonce music video audition are divided into 6 equal sized teams how many dancers are on each team

Answers

Answer:

196

Step-by-step explanation:

1176/ 6

= 196 dances are on each team

HELP ASAP EASY THING IM JUST DUM There are 8 tenths and 24 hundredths. After regrouping hundredths into tenths, there are ? tenths and ? hundredths. After regrouping tenths into wholes, there are
? whole, ? tenths, and ? hundredths.

Answers

Answer: 8 wholes 2 tenths 4 hundredths.

Explanation: First it tells us there are 8 tenths and 24 hundredths. Then we regrouped hundredths into tenths which would give us 2 since if we had 20 we’d be in the thousandths. Don’t forget also that it said to change the tenths into wholes which we did with 8.

Answer:

8 wholes 2 tenths 4 hundredths

Step-by-step explanation:

We just take apart the numbers and give them to other numbers. Hope it helped!

Order from greatest to least -8 -4.75 -0.9 -.25

Answers

Answer:

-.25,-0.9,-4.75,-8

Step-by-step explanation:

sorry if im wrong

Answer:

1. -0.25

2. -0.9

3. -4.75

4. -8

Step-by-step explanation:

Write the phrase as an expression. Then evaluate the expression when x=2 . 8 more than a number x An expression is . The value of the expression is .

Answers

46
Explanation:
First, we must write the mathematical form for "the product of 8 and a number x":
8
×
x
Then "6 more than this" would be:
(
8
×
x
)
+
6
So, to evaluate for
x
=
5
we substitute
5
for
x
and calculate:
(
8
×
5
)
+
6

40
+
6

46

Please help me plsssss

Answers

A- (-2,-3)
B-(0,-3)
C(1,-1)
I think this is how it goes :) hope it helps

When 2^7 is written as a repeated multiplication product, the only factor is

Answers

Answer:

2 x 2 x 2 x 2 x 2 x 2 x 2 = 256

A cylinder has a height of 11 meters and a volume of approximately 1243 cubic feet. What is the height of a cone with the same volume and radius as the cylinder?

Answers

Answer:

Step-by-step explanation:

Comment

There is a short cut to this and we might just as well use it. Start by writing the general formulas for the volume of a cylinder and the volume of the cone

Equation

V_cylinder = pi * r^2 * h

V_Cone = (1/3) pi * r^2 * h1

Solution

The volumes are equal, so the right sides must be equal as well

pi * r^2  *  h = (1/3)*pi * r^2 * h1         Divide both sides by pi

r^2 * h = (1/3) * r^2 * h1                      Divide both sides by r^2

h = (1/3) * h1                                       Multiply both sides by 3

3*h = h1                                             h = 11 (given)

3*11 = h1

33 = h1

Answer: the cone's height = 33 meters.

A store has 32 boxes of candles. Each box contains 24 candles. What is the total number of candles?

Answers

Answer:

The total amount of candles is 768.

Step-by-step explanation:

Why? If there are 32 boxes of candles and 24 candles are in each box you would have to multiply 32x24 which is = to 768 candles in each box.

Other Questions
Find the distance between points X and Y )) of the students in Brody's grade, 30 students have a pet and the other 47 students do not.What is the ratio of the number of students who do not have a pet to the number of students whohave a pet? I need help with this ASAP please and thank you.. Nadia is buying a car, She has saved $8,200 in cash and has secured a loanfor the remaining $19,000. She gets a five-year loan at 5 percent. In thisscenario, 819,000 is theA. principalB, down paymentc. monthly installmentD. total amount she will pay back Select the correct answer.Ron has a family history of high blood pressure. He has studied the causes, signs, and possible outcomes of the disease. What kind of strategy has he used to improve his health? A. He has found immediate and cumulative risks. B. He has set long-term and short-term goals. C. He has incorporated risk reduction into his life. D. He has increased his knowledge. Why did the British win most major battles in the beginning? A) Most colonial soldiers were poorly trained and had never fought in a war.B) British had a well-trained Navy and German mercenaries.C) All of theseD) The Continental Army often did not access to needed supplies. Factor the expression below.15x3+10x2 Is a triangle with the sides of 32, 60, and 68 a right triangle? 4 /5 fraction can be rewritten as _____ How does beamforming improve network service brainly. Solve for x thank you Where is Earths magnetic south pole located? What about the magnetic north pole? What does this say about how a compass needle will react to the poles? How do ribosomes and the golgi apparatus interact to maintain homeostasis? Select the sequence that shows the numbers in order from least to greatest.What can Porque mean in spanish? A. B. C. Explain the answer in CERHow can sound extinguish a fire? 49What is a main idea of the article "Excerpt from Baby Mammoth Mummy: Frozen inTime!"? Use two details from the article to support your response Help me please In need help with dis English defeats the Spanish Armada, meaning they have proven they have a strong navy. What does this lead to for the British and Dutch Flatworms are resistant to the immune system and digestive juices of the hostbecause of this outer layer? Summary indian removal act