3w – 15
Factoring out the GCF

Answers

Answer 1
factors of 3: 1,3
factors of 15: 1,3,5,15
GCF: 3
3(w-5)
Answer 2

The factored form of 3w - 15, after factoring out the Greatest Common Factor, is 3(w - 5).

To factor out the greatest common factor (GCF) from the expression 3w - 15, we first need to determine the GCF of the two terms.

In this case, the GCF of 3w and 15 is 3. Both terms are divisible by 3.

To factor out the GCF, we divide each term by the GCF:

3w/3 - 15/3

Simplifying further, we have:

w - 5

Therefore, the factored form of 3w - 15, after factoring out the GCF, is 3(w - 5).

Factoring out the GCF is a process that involves identifying the highest common factor of all the terms in an expression and dividing each term by that factor. This helps simplify the expression and can make it easier to work with or further factorize if needed.

In this case, the GCF was 3, so we divided both terms by 3 to factor it out, resulting in the simplified expression w - 5.

To learn more about the greatest common factor;

https://brainly.com/question/11221202

#SPJ6

The complete question:

Find out the factored form of the following expression,

3w – 15

Factoring out the GCF


Related Questions

1.CONVERT TO SCIENTIFIC NOTATION2.CONVERT TO STANDARD NOTATION
a. 895,000,000,000a. 3.65 x 108

Answers

Answer:

Step-by-step explanation:

a. 8.95 x 10^11

b. 3.65 x 10^8= 365,000,000

Answer:

a. 8.95 x 10^11

b. 3.65 x 10^8= 365,000,000

Step-by-step explanation:

if f(x)=4x^2-6

find f(3)

Answers

Answer:

f(3) = 30

Step-by-step explanation:

f(x) = 4x² - 6

To find f(3) substitute the value of x that's 3 into f (x) that is for every x in f (x) replace it with 3

We have

f(3) = 4(3)² - 6

= 4(9) - 6

= 36 - 6

We have the final answer as

f(3) = 30

Hope this helps you

Answer: f(3) = 30

Step-by-step explanation:

The bad debt ratio for a financial institution is defined to the dollar value of loans defaulted divided by the total dollar value of all loans made. Suppose that a random sample of 7 Ohio banks is selected and that the bad debt ratios (written as percentages) for these banks are 6%, 8%, 5%, 9%, 7%, 5% and 8%. Banking officials claim that the mean debt ratio for all Midwestern banks is 3.5 percent and the mean bad debt ratio for Ohio banks is higher. Set up the null and alternative hypotheses needed to attempt to provide evidence supporting the claim that the mean bad debt ratio for Ohio banks exceed 3.5 percent. (a) H0: μ ≤ [ Select ] % versus Ha: μ > [ Select ] %. (b) Discuss the meanings of a Type I error and a Type II error in this situation. Type I : Conclude that Ohio's mean debt ratio is [ Select ] 3.5 % when it actually is 3.5%. Type II : Conclude that Ohio's mean debt ratio is [ Select ] 3.5 % when it actually is 3.5%.

Answers

Answer:

Step-by-step explanation:

From the information given:

Consider X to be the random variable denoting the bad debt ratios for Ohio Bank.

Then, [tex]X \sim N ( \mu, \sigma ^2)[/tex]

Thus the null hypothesis and the alternative can be computed as:

Null hypothesis:

[tex]H_o : \mu \leq3.5\%[/tex]

Alternative hypothesis

[tex]H_1 : \mu > 3.5\%[/tex]

The type I and type II error is as follows:

Type I:

The mean bad debt ratio is > 3.5% when it is not

Type II:

The mean bad debt ratio is ≤ 3.5% when it is not.

The test statistics can be calculated by using the formula:

[tex]t = \dfrac{\overline x - \mu}{\dfrac{\sigma}{\sqrt{n}}}[/tex]

where;

sample size n = 7

mean = 6+8+5+9+7+5+8 = 48

sample mean [tex]\overline x =\dfrac{48}{7}[/tex]

[tex]\overline x[/tex] = 6.86

sample standard deviation is :

[tex]s = \sqrt{\dfrac{\sum( x -\overline x)^2}{n-1}}[/tex]

[tex]s = \sqrt{\dfrac{( 6 -6.86)^2+( 8-6.86)^2+ ( 5 -6.86)^2 + ...+( 7 -6.86)^2+ ( 5 -6.86)^2+( 8 -6.86)^2 }{7-1}}[/tex]

s = 1.573

population  mean [tex]\mu = 3.5[/tex]

Therefore, the test statistics is :

[tex]t = \dfrac{\overline x - \mu}{\dfrac{\sigma}{\sqrt{n}}}[/tex]

[tex]t = \dfrac{6.86- 3.5}{\dfrac{1.573}{\sqrt{7}}}[/tex]

[tex]t = \dfrac{3.36}{\dfrac{1.573}{2.65}}[/tex]

[tex]t = \dfrac{3.36\times {2.65}}{{1.573}}[/tex]

t = 5.660

At significance level of 0.01

[tex]t_{0.01} = 3.707[/tex]  

P - value = P(T > 5.66)

P - value = 1 - (T < 5.66)

P - value = 1 - 0.9993

P-value = 0.0007

Therefore, since [tex]t_{0.01} < t[/tex] , we reject the null hypothesis and conclude that the claim that the mean bad debt ratio for Ohio banks is higher than the mean for all financial institutions is true.

Write the expression in words 5-y

Answers

Answer:

five minus y

Step-by-step explanation:

Answer:

y less than five

Step-by-step explanation:

thats your answer, please trust me

a garden table and bench costs $842 combined. the garden table costs $92 more that the bench. what is the cost of the bench?​

Answers

I think the answer would be 750

Answer:

$375 is what i got on

Which name describe only those numbers highlighted on the number line.

Answers

Answer: negative numbers

Explanation: Notice that on the number line, 0 is in  the middle, all numbers to the left of 0 are negative, and all numbers to the right of 0 are positive.

Since the numbers highlighted only include numbers

to the left of 0, negative numbers are shown here.

A football is kicked vertically upward from a height of 4 feet with an initial speed of 65 feet per second. The formula h=4+65t−16t2 describes the​ ball's height above the​ ground, h, in​ feet, t seconds after it was kicked. Use this formula to find the​ ball's height 2 seconds after it was kicked. The​ ball's height, 2 seconds after it was​ kicked, was nothing feet. I NEED EXTREME HELP PLEASE !!!

Answers

Answer: h = 70ft

Step-by-step explanation: To find the height the ball reached after 2 seconds, substitute variable t for 2 and calculate height:

[tex]h=4+65t-16t^{2}[/tex]

[tex]h=4+65.2-16.2^{2}[/tex]

[tex]h=4+65.2-16.4[/tex]

[tex]h=4+130-64[/tex]

h = 70

After 2s, the football reached a height of 70 feet.

Answer:

if its for 3 seconds the answer is 55

Step-by-step explanation:

What is the next number 5, -20, 80, -320, 1280 _

Answers

-5,120
This is because you are multiplying each by -4, like 80x-4=-320

Find its inverse, and state the domain and range.

Answers

Answer: f^-1(x) = (2x + 3)^2

Explanation:

f(x) = sqrt(2x - 3)
f^-1(x) = (2x + 3)^2

D) Solve for k.
4(K + 11) - -2 = 6
K=

Answers

Answer: K=23

Step-by-step explanation:

Answer:

k=9

Step-by-step explanation:

4k+44 because you distribute the 4 to the parenthesis

new equation: 4k+44-2=6

add 2 to 6 which would be 8 because you have to get k by itself

4k+44=8 subtract 44 from 8

-36=4k

divide by four

k=-9

if the equation is really 4(k+11)--2=6

do the same first steps so 4k+44

but the -2 would become positive cuz of the double negative

so:

4k+44+2=6

4k+46=6

subtract 46 from 6

4k=-40

divide -40 by 4

k=-10

The population of a town increased from 3600 in 2006 to 4500 in 2011. Find the absolute and relative (precent) increase.

Answers

what grade math is this????????????????????

Which angles are complementary to each other?

Answers

Answer:

angle CDA and angle BDC

mark this as brainliest!

Answer:

∠CDA and ∠BDC as their sum equals 90°

Step-by-step explanation:

last year ,rita opened an investment account with $400 At the end of the year the amount in the account had decreased by 28.5% how much is this decrease in dollars? how much money way in her account at the end of last year

Answers

Answer:

Step-by-step explanation:

decrease=400×0.285=114.000 $

amount at the end=400-114=286 $

Find two numbers with a sum of 65. Twice the smaller number is 10 more than the larger number.

Answers

Answer:

40 and 25

Step-by-step explanation:

Let the two numbers be x and y. If the sum of the numbers is 65, then;

x+y = 65........ 1

Given twice the smaller number is 10 more than the larger number, this can be written as 2x = 10+y (taking x as the smallest and y as the largest)

Therefore 2x = 10+y

x = 10+y/2 ....... 2

Substitute equation 2 into 1 to have;

10+y/2 +y = 65

Find the LCM

(10+y+2y)/2 = 65

10+3y/2 = 65

cross multiply

10+3y = 130

3y = 130 -10

3y = 120

y = 120/3

y = 40

Since 2x =10+y

2x = 10+40

2x = 50

x = 50/2

x = 25

Therefore the two numbers are 40 and 25

Answer:

40 and 25

Step-by-step explanation:

The midpoint of AB is M(3, 3). If the coordinates of A are (2, -1), what are the
coordinates of B?

Answers

Step-by-step explanation:

Hey there!!

It's so simple.

While finding the coordinates of any point if the midpoint is there it will be much easier. You must remember the midpoint formulae.

Let's simply work with it.

Here, A (2,-1) and midpoint M(3,3) are given.

Let another coordinate be B(x,y).

By midpoint formulae,

[tex]midpoint(x.y) = \frac{x1 + x2}{2} ,\frac{y1 + y2}{2} [/tex]

Putting their values,

[tex]m(3 , 3) = \frac{2 + x}{2} , \frac{ - 1 + y}{2} [/tex]

As they are equal, equating with their corresponding elements we get,

[tex]3 = \frac{2 + x}{2} [/tex]

6= 2 + x

x = 6-2

Therefore, the value of a is 4.

Again,

[tex]3 = \frac{ - 1 + y}{2} [/tex]

6 = -1 + y

Therefore, the value of y is 7.

Therefore, the coordinates are B (4,7)

Hope it helps....

Answer:

The coordinates of B is (4, 7)

Step-by-step explanation:

To find the answer for B, you have to do the inverse of the midpoint formula, which is M equals (x1 multiplied by x2, over 2; y1 multiplied by y2, over 2).

If you substitute in A's coordinates for x1 and y1, you come up with (3, 3) = (2+x, over 2; and -1+y, over 2)

If the x coordinate answer for AB was 3, you can create an equation like this to solve for B's x coordinate: 2+x over 2 equals 3.

          you multiply 2 by 3 to get 6---> 2+x=6-----> x=4

If the y coordinate for AB was also three, you can create another equation to solve for B's y coordinate: -1+y over 2 equals 3.

         you multiply 2 by 3 to get 6 again---->so -1+y=6---->y=7

so the answer for B's coordinates is (4, 7).

15. _TYU and ZUYB form a linear pair. The mZTYU = 5x - 4 and mZUYB =
3x + 10. Find the degree measure of each angle. HINT: draw a picture.
Upload your work in canvas assignment.

Answers

Answer:

∠TYU = 104.75°∠UYB = 75.25°

Step-by-step explanation:

A picture on scratch paper works as well as any.

__

The sum of the two angles is 180°:

  (5x -4) +(3x +10) = 180

  8x = 174 . . . . . . collect terms, subtract 6

  x = 21.75 . . . . . .divide by 8

Then the angle measures are ...

  ∠TYU = 5(21.75) -4 = 104.75°

  ∠UYB = 3(21.75) +10 = 75.25°

_____

Check

The total is 104.75 +75.25 = 180, as required.

Answer:

104.75 +75.25 = 180

Step-by-step explanation:

4x - 3y = 6 ,7x + 3y =27

Answers

Answer:

Step-by-step explanation:

4x - 3y = 6

7x + 3y = 27

11x = 33

x = 3

7(3) + 3y = 27

21 + 3y = 27

3y = 6

y = 2

(3,2)

Answer:

x=3 and y=2

Step-by-step explanation:

Let's solve your system by substitution.

4x−3y=6;7x+3y=27

Step: Solve4x−3y=6for x:

4x−3y=6

4x−3y+3y=6+3y(Add 3y to both sides)

4x=3y+6

4x /4 = 3y+6 /4  (Divide both sides by 4)

x= 3 /4 y+ 3 /2

Step: Substitute

3 /4 y+ 3 /2  for x in7x+3y=27:

7x+3y=27

7( 3 /4 y+ 3 /2 )+3y=27

33 /4 y+ 21 /2

=27 (Simplify both sides of the equation)

33 /4 y+ 21 /2 + (−21 /2 )

=27+ (−21 /2) (Add (-21)/2 to both sides)

33 /4 y= 33 2

33/4y=33/2

33 /4  =33/4 (Divide both sides by 33/4)

y=2

Step: Substitute 2 for y in x= 3 /4 y+ 3 /2

x= 3 /4 y+ 3 /2

x= 3 /4  (2)+ 3 /2

x=3 (Simplify both sides of the equation)

Answer:

x=3 and y=2

HOPE THIS HELPS!!!! :)

<333333333333333

In this exercise, lines m and n are parallel. Find the measure of each numbered angle.

ITS 9 PARTS

Answers

1 = 62° ( Vertically Opposite Angles )

10 = 62° ( Corresponding Angles )

9 = 10 = 62° ( Vertically Opposite Angles )

6 = 95° ( Vertically Opposite Angles )

7 = 180° - 95° = 85° ( Linear Pair )

8 = 7 = 85° ( Vertically Opposite Angles )

5 = 8 = 85° ( Corresponding Angles )

3 = 5 = 85° ( Vertically Opposite Angles )

4 = 180° - ( 9 + 7 )

4 = 180° - ( 62° + 85° )

4 = 180° - 147°

4 = 33° ( Angle Sum Property )

2 = 4 = 33° ( Vertically Opposite Angles )

A homeowners association charges a $3.85 fee for each day your payment is late. If a bull is paid 13 days late, then how much will the homeowners association charge in late fees?​

Answers

Answer:

$50.05

Step-by-step explanation:

Since you have to pay $3.85 per day, and you pay it 13 days late, then you would multiply $3.85 and 13.

3.85*13= 50.05

Total amount of late charges fee is $50.05

Given that;

Amount pay for late charges = $3.85

Number of days = 13 days

Find:

Total amount of late charges fee

Computation:

Total amount of late charges fee = Amount pay for late charges × Number of days

Total amount of late charges fee = 3.85 × 13

Total amount of late charges fee = $50.05

Learn more:

https://brainly.com/question/22177923?referrer=searchResults

what is the differnence between (-2)^2 and -2^2 in math

Answers

Answer:

(-2)^2 = 4-2^2 = -4

Step-by-step explanation:

The first is (-2)(-2) = 4.

The second is -(2)(2) = -4.

The order of operations says exponents are evaluated first. An exponent signifies repeated multiplication of the base.

_____

If your calculator is working correctly, it will show you the difference.

__

Beware spreadsheet programs. They don't always follow the order of operations when evaluating formulas. Parentheses are often required to keep them honest.

Answer: The one with perinthesis is bigger because you would do the negative first and you would have nothing to take away from

Step-by-step explanation:

(7,-1) and ( 21,-5) what is the slope

Answers

Answer:

-2/7

Step-by-step explanation:

Going from (7,-1) to ( 21,-5) we see x (the 'run') increasing by 14 and y (the 'rise') decreasing by 4.  Thus, the slope of the line connecting these two points is m = rise/run = -4/14, or -2/7.

5. Solve: 16 * 22 / 2

Answers

Answer:

176

Step-by-step explanation:

Usually you'll follow PEMDAS & the left->right rule, however, as you are only multiplying and dividing, it does not matter.

22/2 = 11

11 * 16 = 176

176 is your answer.

~

Answer:

176

Step-by-step explanation:

PEMDAS : first Multiply 16 & 22 which equals 352. Then Divide 352 by 2 which equals 176.

(1 point) Find f if f′′(x)=2+cos(x),f(0)=3,f(π/2)=−6.

Answers

5/8-x=9
Hhhijkddnsmks

Angel rode his bike 8 km South 5 km East how long did it take Angel to get back ​

Answers

You never gave the time for how long it takes for him to travel, so I can't answer how long it took him to get back. But I do know that he rode 13 km in total, and that he will need to travel 13 more I'm to get back.

Calculus 2 Master needed, evaluate the indefinite integral of: [tex]\int\( (lnx)^2} \, dx[/tex] So far I had applied the integration by parts and got: [tex](ln x )^2*x - \int\ x*((lnx)^2/2)}[/tex] do we do integration by parts again? also, do we simplify the x at my current stage? steps shown would be appreciated

Answers

Answer:

[tex]\displaystyle \int (\ln(x))^2\, dx=x(\ln(x)^2-2\ln(x)+2)+C[/tex]

Step-by-step explanation:

We want to evaluate the integral:

[tex]\displaystyle \int\left(\ln x\right)^2 \, dx[/tex]

We can use Integration by Parts. Rewriting the integral yields:

[tex]\displaystyle =\int 1\cdot (\ln(x))^2\, dx[/tex]

Recall that IBP is given by:

[tex]\displaystyle \int u\, dv = uv - \int v \, du[/tex]

Let u be (ln(x))². And let dv be (1) dx. Therefore:

[tex]\displaystyle du = 2\ln x \cdot \frac{1}{x}\, dx[/tex]

Simplify:

[tex]\displaystyle du=\frac{2\ln(x)}{x}\, dx[/tex]

And:

[tex]dv=(1)dx\Rightarrow v = x[/tex]

Therefore:

[tex]\displaystyle \int (\ln(x))^2\, dx=\underbrace{\ln(x)^2}_{u}\underbrace{x}_{v}-\int\underbrace{x}_{v}\cdot \underbrace{\frac{2\ln(x)}{x}\, dx}_{du}[/tex]

Simplify:

[tex]\displaystyle =x\ln(x)^2-2 \int\ln(x)\, dx[/tex]

We can perform IBP again. Let u = ln(x) and v = 1. Hence:

[tex]\displaystyle du = \frac{1}{x} \, dx[/tex]

And:

[tex]dv=(1)dx\Rightarrow v = x[/tex]

Thus:

[tex]\displaystyle =x\ln(x)^2-2\left(x\ln(x)-\int (x)\frac{1}{x}\, dx\right)[/tex]

Simplify:

[tex]\displaystyle =x\ln(x)^2-2\left(x\ln(x)-\int (1)\, dx\right)[/tex]

Evaluate:

[tex]=x\ln(x)^2-2(x\ln(x)-x)+C[/tex]

Simplify:

[tex]\displaystyle =x\ln(x)^2-2x\ln(x)+2x[/tex]

Factor:

[tex]=x(\ln(x)^2-2\ln(x)+2)[/tex]

Therefore:

[tex]\displaystyle \int (\ln(x))^2\, dx=x(\ln(x)^2-2\ln(x)+2)+C[/tex]

Rewrite 4/10 : 1/25 as unit rate

Answers

Answer: 10

Explanation:

remember that when you have a divided fraction, you can change de numerator and denominator so your fractions be like this:

4/10 * 25/1 = 100/10

          10*1

100/10= 10

this happens because when you have a fraction that is being divided, it's also like you are cross multiplying, just like the resolution upwards, then you get 100 divided by 10, which is 10.

I hope it helps you. :)

Hi guys, can anyone help me with this? Many thanks:)

Answers

Step-by-step explanation:

y = √—16x²+8x—2√8x+1+2

Find the value of x. (3x-9)(x+7)

Answers

Answer:

The answer to this question is 23

Step-by-step explanation:

The reason is because....

23x3= 69

69-9=60

60+ (x+7)

23+7=30

30+60=90

The angle shown is a 90 degree angle therefore this is your answer.

Pregunta 4 (1 punto)
4.) Fill in the blank
2(x+7) = 2x + _
оа
a) 7
b) 14
c
c) 7x
d) 14x
Od

Answers

Answer:

7....................

C 7x step- step explaination

On a shelf there are 40 chips. 30 of them are cheddars flavored . What is the percentage of those that are cream cheese flavored?

Answers

Answer:

Hey there!

30/40 are cheddar flavored, so 10/40 are cream cheese flavored.

10/40=25, so 25% of the chips are cream cheese flavored (assuming that the rest of the chips are all cream cheese flavored)

Let me know if this helps :)

Other Questions
The deck of a bridge is suspended 235 feet above a river. If a pebble falls off the side of the bridge, the height, in feet, of the pebble above the water surface after t seconds is given by y = 235 16t^2. Required:a. Find the average velocity (in ft/s) of the pebble for the time period beginning when t = 2 and lasting the following amount of time.1. 0.1 sec:________2. 0.05 sec:_______3. 0.01 sec:_______b. Estimate the instantaneous velocity (in ft/s) of the pebble after 3 seconds. ft/s. - 3c = - 5 4I want to know the answer What is the capital of the state Baltimore is in? You've written a research paper, and cited your sources, however, you neglected to write down the page numbers for the in text citations. Because the project is due in four hours, you insert page numbers without verifying them. This is a violation because:________. What is the tone of this poem?In Flanders fields? Read the passage.Tabitha is a high school student who walks to school every day. On her way to school lately, she has noticed several advertisements and posters with messages like "Make sure youre registered to vote!What types of government might be in place in Tabithas country? Select three options.a dictatorshipa totalitarian governmenta direct democracya constitutional monarchya representative democracy Which of the following statements best describes the founding of the colony of Pennsylvania? William Penn founded Pennsylvania to provide a refuge for Quakers. William Penn founded Pennsylvania to provide a refuge for English Catholics. William Penn founded Pennsylvania with the Dutch West India Company. William Penn founded Pennsylvania to create new trading markets. hey can someone help me with this I think I know the answer but I'm not sure Which of the following statements correctly compares an alpine ecosystem to a tundra ecosystem? (1 point) aThey are both found in the northeastern United States. However, tundra receives more rainfall than alpine ecosystems. bThey are both found in mountain regions of the United States. However, tundra has more trees than alpine ecosystems. cThey both have arid conditions. However, tundra is found in the southwestern United States and alpine ecosystems are found in the northeastern United States. dThey both have cold, severe conditions. However, tundra is found in the northernmost region of the United States and alpine ecosystems are found in mountain regions. Rank the measurements from largest to smallest. .75 Times 10^-3 mL, 325 mu L, 4.11 Times 10^-4 dL. Which statement about heroism does this paragraph reflect from the excerpt The Great Fire The scale of a map is 1 in = 11.9 miles. How many inches will be drawn on the map to represent 30.9 miles? Describe the Ar-Rub al Khali. Give three facts about this area, and describe its location. (Site 1) Susie and Peggy arrive at the fair with $32.50. The entrance fee per person is $7.50 and each ride costs $2.50 per person. What is the total number of rides they can go on if they each pay the entrance fee? Write and solve an equation for this situation Humans autosomal cells have two copies each of 23 unique chromosomes. Match each of the following cell division events and cell types according to the number of chromatids present. Whereas other events may also be misplaced, you have not matched all of the cell types and events that contain 23 chromatids. A chromatid number of 23 is observed in haploid gametes produced during the second meiotic division. Which of the following scenarios would most likely cause the country's population to increase? A. Civil protests break out in Jordan. B. Brazils healthcare system continues to improve. C. South Africa goes into an economic recession for the third time in ten years. D. Poland prepares for the threat of war with Ireland. The atmosphere is densest closest to the surface of Earth because Extensive properties _______________ useful for identifying a substance because the substance may be present in any _______________. Some _______________ properties, such as _______________, aren't useful either. Hanging from a cord attached to the middle of the ceiling there was an electric bulb, low enough for an adult to reach and turn the black switch. I realized that this was our own electric light for us to turn on and off as we pleased. I pushed a chair under it and after some instruction from my mother proceeded to create lightning in the room by turning the switch as fast as I could. Which effective technique does the author mainly use to write this excerpt? clear point of view interesting dialogue detailed action logical sequencing An adults heart beats about 2100 times every 30 minutes.A baby beats about 2600 times every 20 minutes. How many more heart beat i 60 minutes than an adults hearts?