factoring using the distributive property
got really sick and missed a bunch of school, would really appreciate the help !
Answers
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
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 = 5,000Rate = 2%= 2/100
= 0.02
Time = 6 yearsSimple 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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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:
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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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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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.
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
Evaluate the expressions.
(-7)⁰ = 0
0
2²( ³ ) = 0
5
010
X
Ś
Answers
Answer:
[tex]format \: examples \: )[/tex]
(30-30) = 40 RIGHT THE SIMILAR FROM 60 -40 AND CALCULATE ALL OF IT +4
ANSWER: 405
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.
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
______________________________________________
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]
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
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
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
-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.
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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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.
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
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
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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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 ≈ 960.24The price of the table yesterday was around $960.24.
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
XO
0
1
2
3
4
5
6
f(x)
15
20
25
30
35
чо
45
Answers
Answer:
56
Step-by-step explanation:
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% = 0.4Therefore:
Female students = 1 - 0.25 = 0.75Part (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]
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:
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
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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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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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
If the volume of a cube is 64 cubic inches, find the length of one edge
Answers
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
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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