What is the factored form of the expression 3x^2 + 6x – 24

Answers

Answer 1

Answer:

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

Step-by-step explanation:

3x^2 + 6x – 24

3(x^2 + 2x - 8)

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

Answer 2

Answer:

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

Step-by-step explanation:

3x^2 + 6x – 24

= 3(x^2 + 2x - 8)

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


Related Questions

PLS HELP ASAP! 20 PTS

evaluate

Answers

Answer:

Step-by-step explanation:

Cos^-1(1/2) = 60

To get from a degree to radian, simply multiply by pi then divide by 180. So the final answer is 1/3pi or approximately 1.0472

I hope this helped! :D

Anyone help me please
[tex]6 {x}^{6} + 6 {x}^{4} + 6 {x}^{2} [/tex]

Answers

Answer:

(6x^2)(x^4 +x^2 + 1)

Step-by-step explanation:

6x^6 + 6x^4 + 6x^2

split it up into parts

6x^6 = (6x^2) * x^4

6x^4 = (6x^2) * x^2

6x^2 = (6x^2) * 1

so you can take out 6x^2 to get

(6x^2)(x^4 +x^2 + 1)

Factor- showed in picture
If by Factor by group:
6x2 (x4 + x2 + 1)

f(x+3)=2x+5 find f(x)​

Answers

Answer:

Hello,

f(x)=2x-1

Step-by-step explanation:

[tex]f(x+3)=2x+5\\\\Let\ say\ x=y-3\\\\f(y-3+3)=2(y-3)+5\\\\\\f(y)=2y-6+5\\\\f(y)=2y-1\\\\\boxed{f(x)=2x-1}\\[/tex]

Ava has $5 more than two-thirds of the amount Dan has. Ava has $23. What is the number of dollars Dan has?

Answers

12 is correct answer

Avanced Algebra PLS ANSWER THIS CORRECTLY

Use the function f(x) to answer the questions:


f(x) = 2x^2 − 3x − 5


Part A: What are the x-intercepts of the graph of f(x)? Show your work. (2 points)


Part B: Is the vertex of the graph of f(x) going to be a maximum or a minimum? What are the coordinates of the vertex? Justify your answers and show your work. (3 points)


Part C: What are the steps you would use to graph f(x)? Justify that you can use the answers obtained in Part A and Part B to draw the graph. (5 points)

Answers

Answer:

Below

Step-by-step explanation:

Part A: -1 and 2.5

Part B: The vertex is a minimum

Part C: tbh, I'm not quite sure about this part but just use parts A and B to answer :)

(you can also use the website desmos. com/calculator as a graphing calculator)

Help please! will give brainiest

Answers

Answer:

cd a gimem ?

Step-by-step explanation:

Mr. Wilkerson bought frozen treats for 34 children. Each child picked either a popsicle or an ice cream bar. Each popsicle cost $2 and each ice cream bar cost $5. If Mr. Wilkerson spent a total of $128, how many of each type of treat did he buy?

Answers

Answer: He bought 20 ice cream bars and 14 popsicle

Step-by-step explanation:

To solve this I used the elimination method, you could use substitution as well

Here are our two equations

x+y=34 Because the total number of ice creams bought must be given to 34 children and no more

2x+5y=128 because that is the cost for each ice cream and the amount he spent

For the elimination method we have to cancel out one of the variables, I decided to cancel out the x, so I multiplied the top equation by -2. So i got -2x-2y=-68

2x+5y=128 Then we get

3y=60 so

y=20

Now we can go back to the first equation and plug in y.

x+20=34

  -20  -20

x=14

So he bought 14 popsicles and 20 ice cream bars.

Change 400cm into mm​

Answers

Answer:

4,000mm

Step-by-step explanation:

I tryed my best

Answer:

mate...

cm to mm is by multiplying 10

400 * 10 = 4000mm

brainliest l m a o

rational or irrational? and why

Answers

Answer:

rational, simplified number is -0.5

Step-by-step explanation:

(see screenshot)

Solve for x in the equation 2/5x = 12


A: -30

B: -4 4/5

C: 4 4/5

D: 30

Answers

The correct answer is D.

What is 687.2194 rounded to 5 significant figures?​

Answers

687.2194 rounded to 5 sig figs is 687.21.

Please help me on this assignment, I will brainly to the person with the correct answer!

Answers

Answer:

Step-by-step explanation:

I'm not sure if you have learned this yet, but using dimensional analysis (DA) for this problem makes everything so. much. easier! (I'll share a good video in the comments if you don't know what it is)

Okay, so we're given a 50,145 [tex]cm^{3}[/tex] statue, and we want to see how much it'll cost if it's $0.35 per kg, with a conversion factor of 2.6 [tex]g/cm^{3}[/tex].

First, with the conversion factor, I'll set up a dimensional analysis.

[tex]50,145 cm^{3} * \frac{2.6 g}{cm^{3} }[/tex]

cancel out the cm^3, and multiply the top two numbers. I used a calculator:

130377 g

We're not done yet! The question asks for how much it is in kg, not g. We could use D.A. , but g to kg is pretty easy. just put a decimal three paces in.

130.377 g = 130.377 kg

Now, either use D.A. to show your work, or just simply multiply.

130.377*0.35= $45.63

I think this is the right answer... Any questions, please comment!

No. of She 2. a) The amount of pocket money in Rs) brought by 20 students of class VII on a day are given below. Let's construct a frequency distribution table with tally marks. 30, 40. 25, 35. 40. 40. 30. 25, 20 40. 45. 35. 40. 30. 40, 30, 50. The numbe Draw a sin Classes​

Answers

Answer:

there are 17 pupils in the class

There are 17 students in the class to ur question

x-7[tex]\sqrt[2]{x}[/tex] +19

Answers

Answer:

Okay please complete your question:)

Step-by-step explanation:

The math problem is incomplete...

please help! need answers in order to move on:)
1.) which number equals (5)^-3?
- -125
- 1/15
- 1/125
- -15

2.) find the equivalent for -(3)^-4
- -(4x4x4)
- -3x-4
- 1/-3x-3x-3x-3
- -(1/3x1/3x1/3x1/3)

3.) which of the following is equivalent to 3^-8x3^4
- 3^-12
- 3^-4
- 3^-2
- 3^-32

4.) which value is equivalent to 7^-3/7^-5
- 7^15
- 7^-2
- 7^8
- 7^2

5.) choose the equivalent expression (8^10)^2
- 8^12
- 8^20
- 8^8
- 8^5

6.) which expression is equivalent to (9x8)^4
- 9x8x4
- 9^4x8^4
- (9^8)^4
- (9^4)^8

7.) which expression is equivalent to (2/7)^5
- 2^5/7^5
- 2x5/7x5
- 2^5/7
- 2x5/7

Answers

Answer:

1)

5⁻³ = 1/5³ = 1/125

2)

-3⁻⁴ = -(1/3)⁴ = -(1/3×1/3×1/3×1/3)

3)

3⁻⁸ x 3⁴ = 3⁻⁸⁺⁴ = 3⁻⁴

4)

7⁻³/7⁻⁵ = 7⁻³ ⁻⁽⁻⁵⁾ = 7⁻³⁺⁵ = 7²

5)

(8¹⁰)² = 8¹⁰*² = 8²⁰

6)

(9x8)⁴ = 9⁴x8⁴

7)

(2/7)⁵ = 2⁵/7⁵

Answer:

1) [tex]5^{-3}[/tex]-

Exponent rule:- [tex]a^{-b}=\frac{1}{a^b}[/tex]

[tex]5^{-3}=\frac{1}{5^3}[/tex]

[tex]=\frac{1}{5^3}[/tex]

[tex]5^3=125[/tex]

Answer:- [tex]\frac{1}{125}[/tex]

---------

2) [tex]-3^{-4}[/tex]

[tex]-(\frac{1}{3} )^{4}[/tex]

Answer:- [tex]-(\frac{1}{3}\times\frac{1}{3} \times \frac{1}{3} \times\frac{1}{3} )[/tex]

---------

3) [tex]3^{-8}\times 3^{4}[/tex]

[tex]3^{-8+4}[/tex]

Answer:- [tex]3^{-4}[/tex]

----------

4) [tex]7^{-3} /7^{-5}[/tex]

[tex]7^{-3-(-5)}[/tex]

[tex]7^{-3+5}[/tex]

Answer:- [tex]7^{2}[/tex]

----------

5) [tex](8^{10} )^{2}[/tex]

[tex]8^{10\times2}[/tex]

Answer:- [tex]8^{20}[/tex]

---------

6) [tex](9\times8)^{4}[/tex]

Answer:- [tex]9^{4} \times 8^{4}[/tex]

---------

7) [tex]\left(\frac{2}{7}\right)^5[/tex]

Answer:- [tex]\frac{2^{5} }{7^{5} }[/tex]

-----------------------

OAmalOHopeO

-----------------------

A motel has 20 rooms. If the manager charges $60 per room per night, all the rooms will be rented. For each $5 increase, one less room will be rented. How much rent should be charged to maximize revenue? What is the maximum revenue?

Answers

Answer:

Rent: $80

Revenue: $1280

Step-by-step explanation:

We can solve this by representing the problem as an expression and finding the maximum of that

We know that revenue = number of sales * average price. If x represents the amount of 5 dollar increases, then we subtract x from 20 to get the total number of sales. For example, if there was 1 5 dollar increase, the number of sales would be 20-1 = 19. Similarly, the average price is equal to 60 + 5x, as we add $5 for each x. For example, if there were 3 $5 increases, it would cost 60 + 3 * 5 = 75 per room.

Therefore,

revenue = (20-x) * (60 + 5x)

= 1200 + 100x - 60x - 5x²

= -5x²+40x+1200

This is a quadratic expression -- we know it is one because it is of form ax²+bx+c, where a=-5, b=40, and c = 1200. Because the a is negative, the quadratic expression (which forms a parabola) opens downward, meaning that there is a peak of the expression at its vertex.

The x value of the vertex of a parabola given this form for the quadratic expression is (-b/2a) , which is (-40/(2*(-5))) = -40/-10 = 4 here, and plugging that into our equation,

y= -5x²+40x+1200

= -5 (4)²+40(4) + 1200

= -5 * 16 + 160 + 1200

= 1280 as our maximum revenue

Therefore, the amount of 5 dollar increases is 4, making the average price equal to 60 + 5 * 4 = 80 dollars

PLS HELP ME ON THIS ANSWER I WILL MARK YOU AS BRAINLIEST IF YOU KNOW TGE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!

Answers

LOL

Answer:

D. The over 30s have a larger range and interquartile range than the under 30s

Step-by-step explanation:

In a data set, the range is the difference between the maximum and minimum. So, the range for under 30s is 20, while the range for over 30s is 24. Additionally, the interquartile range is the difference between Q3 and Q1. For a boxplot, Q3 is the line where the box ends and Q1 is the line where the box begins. Therefore, the IQR for the under 30s is 8, and the IQR for over 30s is 11. So, D must be correct.

Please hell the question is in the photo ^^

Answers

May be this.. you may find all the math answers in the app known as Gauth math so I would suggest you to download it .Thank you

A
2
The distance AB
rounded to the
nearest tenth = [?]
- 2
-1
0
B
-2
-3
Hint: Use the distance formula:
d= (x2 - 1)2 + (y2 - y.)2

Answers

Answer:

slope = - 2

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = A (- 1, 2) and (x₂, y₂ ) = B (1, - 2)

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

Answer:

AB = 4.5

Brainliest, please!

Step-by-step explanation:

A (-1, 2) B (1, -2)

y = +4

x = +2

a^2 + b^2 = c^2

2^2 + 4^2 = c^2

4 + 16 = c^2

20 = c^2

c = 4.5 (rounded)

150 students in hostel have food enough for 45 days. After 10 days , 25 students leave the hostel. How much larger will the food last?​

Answers

Step-by-step explanation:

150=45

150 -25=x

:150=45

125=x

cross multiply

150x/150=5625/150

x=38 days

Tim works as a server in a restaurant.
A
group
for $112.50. They leave Tim a tip of 20%.
Another group at Table 15 have a bill of
$142.75 and leave a 15% tip. Which table
of people at Table 22 have a bill
left Tim the greater tip

Answers

Answer:

The first group left a greater tip

Step-by-step explanation:

The first group left a tip of 20%. 20% of 112.5 is 22.5

The first group left a tip of 15%. 15% of 142.75 is 21.4125. Round to the nearest hundredth -> 21.41.

Therefore, the first group left a greater tip

I hope this helps!

pls ❤ and give brainliest pls

I need help ASAP!!! Please help me FInd the missing side

Answers

Answer:

Step-by-step explanation:

Tan 22 = [tex]\frac{opposite \ side}{adjacent \ side}[/tex]

[tex]tan \ 22 = \frac{30}{x}\\\\0.4040 = \frac{30}{x}\\\\0.4040*x = 30\\\\x = \frac{30}{0.4040}\\\\x = 74.25\\\\x = 74.3[/tex]

Answer:

Sin= opp/hyp

Sin22= 30/x

0.3746=30/x

cross multiply

0.3746x=30

make x the subject of the formula

x= 30/0.3746

x=80

the velocity of a body is increases from 10 m/s ti 15 m/s in 5seconds calculate its acceleration​

Answers

Answer:

[tex]accelaration = \frac{change \: in \: veloity}{time} \\ = \frac{15 - 10}{5} \\ = \frac{5}{5} \\ = 1 \frac{m}{ {s}^{ - 2} } [/tex]

Answer: acceleration = 1 m/s²

Concept:

Here, we need to know how to calculate the acceleration of a body.

a = Δv / Δt = (v₂ - v₁) / (t₂ - t₁)

v = velocity

t = time

unit = m/s²

Solve:

Given information

v₁ = 10 m/s

v₂ = 15 m/s

Δt = 5 seconds

Given expression

a = (v₂ - v₁) / (t₂ - t₁)

Substitute values into the expression

a = (15 - 10) / 5

Simplify values in parentheses

a = 5 / 5

Simplify by division

[tex]\boxed{a=1}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

(8
10-7) - (-6.25 • 10-2)

Answers

Answer:

362

(8

10-7) - (-6.25 • 10-2)

Tutorial
Emmy already owns 22 hair bands, and additional hair bands are priced at 1 for a dollar.
How much money does Emmy need to spend on new hair bands in order to own a total of
38 hair bands?

Answers

Answer:

16

Step-by-step explanation:

38-22=16

2x+4y=10 and 3x+7=y by substitution method

Answers

Answer:

x=-9/7, y=22/7

Step-by-step explanation:

Since we're using substitution, and the second equation already has the y isolated on one side, we just substitute the 'y' in 4y from the first equation with the right side of the second equation, which gets us 2x+4(3x+7)=10. Then, we simplify to get that x=-9/7. Now, we use substitution again to replace the x value in the second equation to get y. So 3(-9/7)+7=y, y=22/7.

Final answer: x=-9/7, y=22/7

I hope this helped! :D

What is the value of x?

Answers

Answer:

might be 50 b cause 50+55is 105 which is the are outside the triangle

Step-by-step explanation:

hi

Answer:

To solve this problem, you can write a simple equation:

55+x=105

This equation works, thanks to the exterior angle theorem.

Solving for x, we see that it is equal to 50 degrees.

Let me know if this helps

hannah has $345 in her savings account she wants to icrease that number by 20%

Answers

Answer:

345 × 20%

= $69 (20% increase)

345 +69

= $414 (final amount with 20% increase)

whats (-3,6) and (3,4) in y=mx+b form?

Answers

Answer:

y = -1/3x + 5

Step-by-step explanation:

First you want to find the slope with the formula y2-y1/x2-x1.

4-6/3-(-3)

-2/6

-1/3

Second you want to substitute one point and the slope to find the y-intercept.

6 = -3(-1/3) + b

6 = 1 + b

5 = b

Third you can fill in the information we solved for.

y = -1/3x + 5

Best of Luck!

Prove that 1/√2 is irrational

Answers

Answer:

Step-by-step explanation:

Let's assume that it is rational , so this number can be represented as

[tex]\Large \boldsymbol{}\bf \dfrac{p^{^/is \ an \ integer}}{q^{ / natural}} -irreducible \ \ fraction[/tex]

[tex]\Large \boldsymbol{}\bf \dfrac{1 ^{/ an \ integer }}{\sqrt{2}^{ / not \ \ integer } }[/tex]  -Since the denominator is not a natural number then the  1/√2   is respectively an irrational number

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