factoring using the distributive property

got really sick and missed a bunch of school, would really appreciate the help !

Factoring Using The Distributive Propertygot Really Sick And Missed A Bunch Of School, Would Really Appreciate

Answers

Answer 1

Answer:

Step-by-step explanation:

Factorizing using distributive property:  Factorize the terms  Find the Greatest Common factor. Take GCF from both the terms.

1) 5a² - 15

5a²  = 5 * a²

15    = 5 * 3

GCF = 5

5a² - 15 = 5*a² - 5*3

            = 5a(a - 3)

5) 36x²y - 48xy²  

36x²y =  2 * 2 * 3 * 3 * x² * y

48xy² = 2 * 2 * 2 * 2 * 3 * x * y²

GCF = 2 * 2 * 3*x*y  = 12xy

36x²y - 48xy²  = (12xy * 3x)  - (12xy*4y)

                        = 12xy*(3x - 4y)

6)75b²c³ + 60bc⁶  

75b²c³ =  3 * 5 * 5 * b² * c³

60bc⁶  = 2 * 2 * 3 * 5 * b * c⁶

GCF = 3*5*b*c³ = 15bc³

75b²c³ + 60bc⁶ = [15bc³* 5b]  + [15bc³ * 4bc³]

                          = 15bc³ * (5b + 4bc³)


Related Questions

Which of the following is an identity?

Answers

sin²x sec²x +1 = tan²x cosec²x is an Identity and therefore Option C is an Identity.

What is a Trigonometric Identity ?

Trigonometric Identities are based on Trigonometric ratios , these are useful in conversion of the ratios into each other and to solve the problems of Trigonometry.

There are four Identities Given

Among them Option C is an Identity because on solving it

sin²x sec²x +1 = tan²x cosec²x

(sin²x/cos²x) +1 = sin²x / (sin²x cos²x)

sin²x +cos²x = 1

Which is an Identity and

therefore Option C is an Identity.

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CA is parallel to DE. The measure of BA is 120. The measure of BC is 180. The measure of BD is 80. What is the measure of BE?
A) 60
B) 80
C) 100
D) 120

Answers

The measure of BE is 100

Sure hope this helps you

A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the time that the rocket will hit the ground, to the nearest 100th of second.
y=-16x^2+64x+89

Answers

Step-by-step explanation:

I assume that "ground" is at 0 ft height. which is in an actual scenario not airways the case.

y = -16x² + 64x + 89

shows us that the tower is 89 ft tall (the result for x = 0, at the start).

anyway, if the original assumption is correct, then we need to solve

0 = -16x² + 64x + 89

the general solution for such a quadratic equation is

x = (-b ± sqrt(b² - 4ac))/)2a)

in our case

a = -16

b = 64

c = 89

x = (-64 ± sqrt(64² - 4×-16×89))/(2×-16) =

= (-64 ± sqrt(4096 + 5696))/-32 =

= (-64 ± sqrt(9792))/-32

x1 = (-64 + 98.95453501...)/-32 = -1.092329219... s

x2 = (-64 - 98.95453501...)/-32 = 5.092329219... s

the negative solution for time is but useful here (it would be the time calculated back to ground at the start).

so, x2 is our solution.

the rocket hits the ground after about 5.09 seconds.

Can someone help me with this problem?

Answers

The volume of the fourth doll based on the information given will be 549cm³.

How to calculate the volume?

The formula to use will be:

= πr²h

where,

Volume = 8cm³

Diameter = 2.1

Radius = 2.1/2 = 1.05cm

Therefore, 8 = (3.14 × 1.05² × h)

h = 8/(3.14 × 1.05²)

h = 2.31 cm.

The scale factor used is:

= 3.36/2.1

= 1.6

Therefore, the diameter of the fourth doll will be:

= 2.1 × 1.6³

= 8.6

Radius will be:

= 8.6/2 = 4.3.

The height of the fourth doll will be:

= 2.31 × 1.6³

= 9.46

The volume of the fourth doll will be:

= 3.14 × 4.3² × 9.46

= 549cm³

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The equation that models the current water temperature t of the swimming pool is t -6=78 which best describes the error made when solving for the current temperature

Answers

78! is the answer to this question! trust! -6

If the volume of a cube is 64 cubic inches, find the length of one edge

Answers

The length of one edge of the cube is 4
4cm is the length on one edge

Directions: In this last section, you will answer one problem. Be sure to read the
problem carefully and to answer the question completely. Show your work and circle
your answer. Use any method to solve this problem.
74. A restaurant has a total of 60 tables. Some of the tables can seat 4 people and some
seat 2 people. All of the seats are occupied when there are 160 people seated. How man
tables for 4 are there?

Answers

Answer:

40 tables

Step-by-step explanation:

I think lol I'm just guessing. Hope you get it right. If I'm right just remember me as legend or the chosen one.

Trey deposits 5000 into an account that pays simple interest at an annual rate of 2%. he does not make any more deposits. he makes no withdrawals until the end of 6 years when he withdraws all the money

Answers

The simple interest Trey earns if he makes no additional deposit or withdrawal for a period of 6 years is 600

How to calculate simple interest?

Principal = 5,000

Rate = 2%

= 2/100

= 0.02

Time = 6 years

Simple interest = principal × rate × time

= 5000 × 0.02 × 6

= 600

Therefore, the simple interest Trey earns if he makes no additional deposit or withdrawal for a period of 6 years is 600

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If a city with a population of 283,900 doubles in size every 66 years, what will the population be 198 years from now


PLEASE HELP

Answers

Here’s the answer to your question and solution

The population after 198 years from now will be 2,270,200.

What is an exponent?

Let a be the initial value and x be the power of the exponent function. Then the exponent is given as,

[tex]\rm y = 283,900\times (2)^{x/198}[/tex]

The population after 198 years from now will be calculated as,

[tex]\rm y = 283,900 \times (2)^{198/66}[/tex]

Simplify the equation, then we have

y = 283,900 x 8

y = 2,270,200

The population after 198 years will be 2,270,200.

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-6x +3>-39

sombody pls do this problem

Answers

Answer:

x>-7

Step-by-step explanation:

Answer:

x>-7

It wont always be easy, but always try to do what ' s right!

   In a world of worriers, be the warrior!

        When nothing goes right, go left.

Theo's friend made a display with dimensions that were each half as long as those theo used. what is the approximate mass of theo's friends display

Answers

Answer:

great question buddy and I wish you the most

Step-by-step explanation:

x-y=b^2/2=2

Solve: x = 27

A) X= 3
B) X = 3 and x = -3
C) X = 9
D) X = 9 and x = -9

Answers

Answer:

A) x=3

Step-by-step explanation:

I guess it's : [tex]x^{3} =27[/tex]
[tex]x^{3} =27[/tex]
[tex]x=\sqrt[3]{27}[/tex]
[tex]x = 3[/tex]

Nadia has a handful of coins all of which are either dimes or quarters she has a total of 23 coins in her hand and a total of $3.65 worth of coins let D equal the number of dimes Nadia has and like Q represent the number of quarters she has. Must model the solution and show work.

Answers

Nadia cannot have 18 dimes and 5 quarters.

The equations that represent the question are:

D + Q = 23 equation 1

0.1d + 0.25q = 3.65  equation 2

The number of dimes is 14 and the number of quarters is 9.

Can Nadia have 18 dimes and 5 quarters?

The equation that represents the total amount of money she has is: 0.1d + 0.25q = 3.65

0.1(18) + 0.25(5) = 3.05

$3.05 is less than 3.65

What are the system of equations that models the situation?

D + Q = 23 equation 1

0.1d + 0.25q = 3.65  equation 2

What is the solution to the equation?

Given the above equations, multiply equation 1 by 0.1

0.1d + 0.1q = 2.3 equation 3

Subtract equation 3 from 2

0.15q = 1.35

Divide both sides by 0.15

q = 1.35 / 0.15

q = 9

To determine the value of d, subtract 9 from 23 : 23 - 9 = 14

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Every year in Delaware there is a contest where people create cannons and catapults designed to launch pumpkins as far in the air as possible. The equation y = 15 + 110x – 16x2 can be used to represent the height, y, of a launched pumpkin, where x is the time in seconds that the pumpkin has been in the air. What is the maximum height that the pumpkin reaches? How many seconds have passed when the pumpkin hits the ground? (Hint: If the pumpkin hits the ground, its height is 0 feet.)

Answers

Answer:

See below

Step-by-step explanation:

y = - 16x^2 + 110x + 15    is a dome shaped parabola

  max will occur at x = -b/2a = -  110/(2*-16) = 3 7/16   seconds

     using this value in the equation results in y = 204  units  (feet?)

Height = 0 = -16x^2 +110x + 15     use quadratic formula

                                  with  a = -16    b = 110    c = 15    to find  7 seconds

Confirmed as of 12.14.22

Here you go! Please mark Brainliest! Tysm if you do and have a great holiday!

__________

1. $11.50

2. Distributive Property

3. x ->-4 and x -< 3

4. x = 0 or x = -3/2

5. D = all real numbers

  R = {y | y -> 0}

6. y = 12/13x - 10/13

  slope: 12/13; y-intercept: -10/13

7. y - 3 = 4/9 (x - 9)

8. (1/4, -7); x = 1/4; translated to the right 1/4 unit and down 7 units.

9. Graph C (representing the inequality y -< x/2 - 3)

10. Graph C (representing the system {x -> 0, y -< -1/8x + 5, y -> 5/8x - 1)

11. [ -12  -13  13  |  -15]

    [ 7     -10   -3  |   11]

    [ 7      14    5  |    -5]

12. Graph C (representing y = 3(x - 3)^2 + 3)

13. The pumpkin's maximum height is 204.06 feet and it hits the ground after 7.01 seconds.

14. 4x^2 + 3x - 6

15. 7/2 -+ sqrt17/2

16. -15

17. (0,3), (3,0)

18. -3. -2. 2

19. Graph C (Goes vertically down, up, then down again.)

20. -6, -2

21. 2, -2, 4i, -4i

22. s^4 + 15s^4 v + 90s^3 v^2 + 270s^2 b^3 + 405sv^4 + 243v^5

23. y = x - 2

24.  f(x) = 295(1.07)^x; 338

25. y = 497(1/2)^38x; 462.029 kg

26. 4

27. 1.03

28. 4.55

29. r = Q/8s^2

30. x = 2

31. Constant of variation: -1/3

    x = -63

32. (-1, 7, 5)

33. (x + 4)(6x + 7

______________________________________________

I am 6 foot and 4 inches what is my height in metres?12 inches=to 1 foot and 1 foot=to 30 cm

Answers

Answer:

1.9 m

Step-by-step explanation:

1 ft = 30 cm (approximately)

12 in. = 1 ft

100 cm = 1 m

Find the height in ft:

4 in. / 12 in/ft = 1/3 ft

6 ft 4 in. = 6 ft + 1/3 ft = 6 1/3 ft

Convert ft to cm:

6 1/3 ft × 30 cm/ft = 190 cm

Convert cm to m:

190 cm × 1 m / 100 cm = 1.9 m

Evaluate 5x – 2y + (7x – y) for x = 7 and y = –2. 90 –18 –45 63

Answers

The value of the expression 5x – 2y + (7x – y)  when x = 7 and y = -2 is 90

How to evaluate the expression?

The expression is given as:

5x – 2y + (7x – y)

Substitute x = 7 and y = –2 in the above expression

5 * 7 - 2 * -2 + (7 * 7 + 2)

Evaluate the expression

90

Hence, the value of the expression 5x – 2y + (7x – y)  when x = 7 and y = -2 is 90

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XO
0
1
2
3
4
5
6

f(x)
15
20
25
30
35
чо
45

Answers

Answer:

56

Step-by-step explanation:

A rectangle has a width of 46 centimeters and a perimeter of 210 centimeters. What is the rectangles length?

Answers

Answer:

59 cm

Step-by-step explanation:

First, we can do 46x2=92 to find one part of the perimeter. 210-92=118. 118/2=59. So the length is 59.

Evaluate the expressions.
(-7)⁰ = 0
0
2²( ³ ) = 0
5
010
X
Ś

Answers

Im pretty sure this is in a wrong format.

Answer:

[tex]format \: examples \: )[/tex]

(30-30) = 40 RIGHT THE SIMILAR FROM 60 -40 AND CALCULATE ALL OF IT +4

ANSWER: 405

Today only a table is being sold for $364.89. This is 38% of its regular price. What was the price yesterday

Answers

Answer:

$960.24

Step-by-step explanation:

Hello!

Let the regular price be x.

38% of x = 0.38x

0.38x = 364.89

Solve for x0.38x = 364.89x = 364.89/0.38x = 960.2368421053 ≈ 960.24

The price of the table yesterday was around $960.24.

In the cycle-plane, what is the y-intercept of the graph of the equation y=6 (x-0.5) (x+3)

Answers

The y-intercept of the graph of the equation y = 6 (x - 0.5) (x + 3) will be negative 9.

What is a function?

A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.

The parabolic equation of the function is given below.

y = 6 (x - 0.5) (x + 3)

Then the y-intercept of the graph of the equation y = 6 (x - 0.5) (x + 3) will be

We know that for the y-intercept, the value of x is zero. Then we have

y = 6 (x - 0.5) (x + 3)

y = 6 (0 - 0.5)(0 + 3)

y = 6 (-0.5)(3)

y = -9

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PLS HELPPPPPPPPPPPP WILL GIB BRAINLIEST Jimmy Needs to buy 1'000 boxs of Mac n' cheese for a confrecne meeting.

Each box costs 50.Cent how much money will he have to buy.
After u figure out The answer divide that by the by 56.
A 84712 = FIRST.... 84712 ÷ = 393893.329432112
B 50000 = FIRST.... 50000 ÷ = 892.857142857
C 43792 = FIRST.... 9382784 ÷ = 94923.2232
D 37263 = FIRST.... 8438493 ÷ = 4095923.31


PART B

The answer you just figured out find out how much cents that equals in dollars

A 5000
B 2123
C 3282
D 3921

Answers

Answer:

its 500$ to buy 1000 mac and cheese at 50 cent a piece so im asuming the answer is A

Step-by-step explanation:

2007 Federal Income Tax Table Single: Over But not over The tax is $0 $7,825 10% of the amount over $0 $7,825 $31,850 $788 + 15% of the amount over $7,825 $31,850 $77,100 $4,386 + 25% of the amount over $31,850 $77,100 $160,850 $15,699 + 28% of the amount over $77,100 $160,850 $349,700 $39,149 + 33% of the amount over $160,850 $349,700 And Over $101,469 + 35% of the amount over $349,700 Aaron Priest had a taxable income of $165,000. He figured his tax from the single taxpayer table above. 1. Find his earned income level. 2. Entered the base amount. = $ 3. Found the amount over $ = $ 4. Multiplied line 3 by % = $ 5. Added Lines 2 and 4 = $ 6. Computed his monthly withholding would be = $

Answers

Answer:

$160850

Step-by-step explanation:

EASY POINTS
Which answer represents the following conditional statement in shorthand?

Answers

Answer:

B

Step-by-step explanation:

if it is warm the Megan is swimming

the correct answer is D

Question 6 of 10
Estimate the sum of the decimals below by rounding to the nearest whole
number. Enter your answer in the space provided.

6.833
3.594
+1.369
————

Answer here

Answers

Step-by-step explanation:

7

4

1

----

12

reality

6.833

3.594

1.369

----------

11.796

A clinical trial was conducted to test the effectiveness of a drug for treating insomnia in older subjects. Before​ treatment, 16 subjects had a mean wake time of 100.0 min. After​ treatment, the 16 subjects had a mean wake time of 75.5 min and a standard deviation of 24.2 min. Assume that the 16 sample values appear to be from a normally distributed population and construct a 95​% confidence interval estimate of the mean wake time for a population with drug treatments. What does the result suggest about the mean wake time of 100.0 min before the​ treatment? Does the drug appear to be​ effective?

Construct the 95​% confidence interval estimate of the mean wake time for a population with the treatment.

Answers

The 95​% confidence interval estimate of the mean wake time is equal to (62.61, 88.39).

Given the following data:

Mean wake time = 75.5 min.Standard deviation = 24.2 min. Number of sample, n = 16.

How to construct a 95​% confidence interval?

Mathematically, a confidence interval of 95% is given by;

α = 1 - 0.95

α = 0.05.

α/2 = 0.05/2 = 0.025.

Also, the degrees of freedom (df) is given by:

Degrees of freedom (df) = n - 1

Degrees of freedom (df) = 16 - 1

Degrees of freedom (df) = 15.

From the Student's t-distribution table, a critical value at t₀.₀₂₅, ₁₅ = 2.131.

Mathematically, the confidence interval for mean is given by:

Mean ± (t-critical × (standard deviation/√(sample size)))

75.5 ± (2.131 × (24.2/√(16))

75.5 ± (2.131 × 6.05)

For the upper end, we have:

75.5 + 12.89 = 88.39

For the lower end, we have:

75.5 - 12.89 = 62.61.

In conclusion, we can deduce that there isn't a significant difference between the mean wake time before and after treatment and as such, this drug isn't effective at the significance level of 0.05.

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suppose y varies inversely as x and y=12 when x=6 find y if x=8

Answers

Answer:

y = 9

Step-by-step explanation:

given that y varies inversely as x then the equation relating them is

y = [tex]\frac{k}{x}[/tex] ← k is the constant of variation

to find k use the condition y = 12 when x = 6

12 = [tex]\frac{k}{6}[/tex] ← multiply both sides by 6 to clear the fraction

72 = k

y = [tex]\frac{72}{x}[/tex] ← equation of variation

when x = 8 , then

y = [tex]\frac{72}{8}[/tex] = 9

Which table represents a linear function?
(i’m trying to help my friend pass)

Answers

Answer:

if I remember I did this two days ago its was c

NO LINKS!!! Please help me with this problem​

Answers

Answer:

1. 0.75

2. 0.15

3. 1

Step-by-step explanation:

1. P(student is female) = 1 - 0.25 = 0.75

2. P(student is male and does not walk to school) = 0.25 × 0.6 = 0.15

3. P(student walks to school or does not walk to school) = 0.4 + 0.6 = 1

Answer:

The sum of the probabilities of all possible outcomes is 1.

Given:

Male students = 25% = 0.25Students who walk to school = 40% = 0.4

Therefore:

Female students = 1 - 0.25 = 0.75

Part (a)

[tex]\begin{aligned}\sf P(\textsf{female}) & = 1 - 0.25\\ & = 0.75\\ & = 75\%\end{aligned}[/tex]

Part (b)

[tex]\begin{aligned}\sf P(\textsf{does not walk to school}) & = 1 - 0.4\\ & = 0.6\\ & = 60\%\end{aligned}[/tex]

[tex]\begin{aligned}\implies\sf P(\textsf{student is male and does not walk to school}) & = 0.25 \times 0.6\\ & = 0.15\\ & = 15\%\end{aligned}[/tex]

Part (c)

[tex]\begin{aligned}\implies\sf P(\textsf{student walks to school or does not walk to school}) & = 0.4+0.6\\ & = 1\\ & = 100\%\end{aligned}[/tex]

2. Which statement about like terms is true?
O All equations have like terms.
Only equations with the variable x have like terms.
O Some equations do not have like terms.
O No equations have like terms.

Answers

Answer:

All equations have like terms

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