Answers
[tex]\stackrel{mixed}{2\frac{3}{4}}\implies \cfrac{2\cdot 4+3}{4}\implies \stackrel{improper}{\cfrac{11}{4}} \\\\\\ 6\cdot 2\frac{3}{4}\implies \cfrac{6}{1}\cdot \cfrac{11}{4}\implies \cfrac{66}{4}\implies \cfrac{33}{2}\implies {\LARGE \begin{array}{llll} 16\frac{1}{2} \end{array}} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\stackrel{mixed}{3\frac{1}{3}}\implies \cfrac{3\cdot 3+1}{3}\implies \stackrel{improper}{\cfrac{10}{3}} ~\hfill \stackrel{mixed}{3\frac{2}{5}}\implies \cfrac{3\cdot 5+2}{5}\implies \stackrel{improper}{\cfrac{17}{5}} \\\\\\ -3\frac{1}{3}\cdot -3\frac{2}{5}\implies -\cfrac{10}{3}\cdot -\cfrac{17}{5}\implies +\cfrac{170}{15}\implies \cfrac{34}{3}\implies {\LARGE \begin{array}{llll} 11\frac{1}{3} \end{array}} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\stackrel{mixed}{4\frac{1}{2}}\implies \cfrac{4\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{9}{2}} ~\hfill \stackrel{mixed}{8\frac{2}{3}}\implies \cfrac{8\cdot 3+2}{3}\implies \stackrel{improper}{\cfrac{26}{3}} \\\\\\ -4\frac{1}{2}\cdot 8\frac{2}{3}\implies -\cfrac{9}{2}\cdot \cfrac{26}{3}\implies -\cfrac{234}{6}\implies \cfrac{-39}{1}\implies \text{\LARGE -39} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\stackrel{mixed}{1\frac{5}{6}}\implies \cfrac{1\cdot 6+5}{6}\implies \stackrel{improper}{\cfrac{11}{6}} \\\\\\ 1\frac{5}{6}\cdot (-9)\implies \cfrac{11}{6}\cdot \cfrac{(-9)}{1}\implies -\cfrac{99}{6}\implies -\cfrac{33}{2}\implies \LARGE \begin{array}{llll} -16\frac{1}{2} \end{array}[/tex]
Related Questions
Compare the functions shown below: f(x) = (x + 3)2 − 2 g(x) linear graph with y intercept of negative 3 over 2 and x intercept of 3 h(x) x y −3 2 −2 7 −1 14 0 23 1 34 2 47 3 62 What is the correct order of the functions from least to greatest according to the average rate of change on the interval from x = −1 to x = 3?
Answers
Answer:
For f (x):
f (x) = (x + 3) ^ 2 - 2
For x = -1
f (-1) = (-1 + 3) ^ 2 - 2
f (-1) = (2) ^ 2 - 2
f (-1) = 4 - 2
f (-1) = 2
For x = 3
f (3) = (3 + 3) ^ 2 - 2
f (3) = (6) ^ 2 - 2
f (3) = 36 - 2
f (3) = 34
AVR = ((34) - (2)) / ((3) - (- 1))
AVR = 8
For g (x):
linear graph with and intercept of negative 3 over 2 and x intercept of 3
y = mx + b
b = -3/2
For me we have:
0 = m (3) - 3/2
3m = 3/2
m = 1/2
The function g (x) is:
g (x) = (1/2) x - 3/2
For x = -1
g (-1) = (1/2) (- 1) - 3/2
g (-1) = -1/2 - 3/2
g (-1) = -4/2
g (-1) = -2
For x = 3
g (3) = (1/2) (3) - 3/2
g (3) = 3/2 - 3/2
g (3) = 0
AVR = ((0) - (- 2)) / ((3) - (- 1))
AVR = 1/2
For h (x):
Using the table we have:
AVR = ((62) - (14)) / ((3) - (- 1))
AVR = 12
Step-by-step explanation:
Answer:
from least to greatest:
1) g (x)
2) f (x)
3) h (x)
Step-by-step explanation:
90 = 10(x + 7) solve for x
show steps & describe the number of solutions
Answers
Answer:
x = 2
Step-by-step explanation:
Simplifying
90 = 10(x + 7)
Reorder the terms:
90 = 10(7 + x)
90 = (7 * 10 + x * 10)
90 = (70 + 10x)
Solving
90 = 70 + 10x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-10x' to each side of the equation.
90 + -10x = 70 + 10x + -10x
Combine like terms: 10x + -10x = 0
90 + -10x = 70 + 0
90 + -10x = 70
Add '-90' to each side of the equation.
90 + -90 + -10x = 70 + -90
Combine like terms: 90 + -90 = 0
0 + -10x = 70 + -90
-10x = 70 + -90
Combine like terms: 70 + -90 = -20
-10x = -20
Divide each side by '-10'.
x = 2
Simplifying
x = 2
M
80.7°
Solve x
29°
N
Answers
Answer:
So what's M and N?
Step-by-step explanation:
what is the answer of -6 + (12)
Answers
Answer:
6
Step-by-step explanation:
-6 + (12)
○ First you remove the brackets
○ Then you will get -6 + 12
○ Negative Positive (-+) equals Negative
○ You will put will subtract the bigger number by the smaller number
i.e 12-6
○ You will get your answer as 6
How do I find the slope
Answers
Answer:
y=4x-1
Step-by-step explanation:
to find the slope you use this equation
(y2-y1) / (x2-x1)
you also need y=mx+b to write in your final equation for the slope,
m is the slope and b is the y intercept (where the point meets the y axis, horizontal line that goes like this | )
first, you got lucky this equation gave you the b value( remember, b is the y intercept) , which you can find when x is 0.
to find the slope we choose any two coordinates (x,y) from the table
i choose (0,-1) and (5,19)
and we put this in this formula
(y2-y1) /
(x2-x1)
(19+1) it’s plus because subtracting a negative - - makes it positive
so
(19+1)/
(5-0)
= 20/5 which is 4. so m( the slope) m=4
now that we have b=-1 and m=4 we can write the final answer equation
which is
y=4x-1
what is 2 -x/15=-3 pls give in step by step explatorn or do work in paper
Answers
Answer:
2 + -x/15 = -3 the answer is x = 75Step-by-step explanation:
2+-x15 = -3
15.2 2 /15 -x =3
30 -x /15 = -3 x= 75
how do i find DQ and what is the answer
Answers
Answer:
Step-by-step explanation:
could you explain better?
Will mark brainliest! HELP MEEE!!
Answers
Answer:
He needs to get 100% on his next test
Explanation:
(59 + 80 + 65 + 96 + 100) / 5
A hiker first hiked down into a canyon 1,345 feet below sea level. She then hiked 950 feet up the side of a mountain. What was the final altitude of the hiker? Please explain
Answers
The final altitude of the hiker 395 feet.
How to compute the value?From the information, the hiker first hiked down into a canyon 1,345 feet below sea level and she then hiked 950 feet up the side of a mountain.
This will be:
= -1345 + 950
= 395
Therefore, the final altitude of the hiker 395 feet.
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Find the length of a picture frame whose width is 3 inches and whose proportions are the same as a 9-inch wide by 15-inch long picture frame.
Answers
Answer:
The length is 5.
Step-by-step explanation:
Since the proportions are the same, 3 is 3 times less than 9. The same applies to 15, which 3 times less would be 5. It has a ratio of 3:5.
Givin h(x) =-x-2 , solve for x when h(x)= 3.
Answers
Answer:
-5
Step-by-step explanation:
h(x)=3
3=-x-2
3+2=5
3=-(-5)-2
negatives cancel
3=5-2
Write each equation in function notation. y=12+3/4x
Answers
Step-by-step explanation:
y = f(x)
this has the same meaning. y is just the variable for the functional result value. while x is usually used as variable for the input value.
so (I recommend to use the brackets to make sure that people understand it is meant that x gets multilevel by 3 in the numerator, and not by 4 in the denominator),
y = 12 + (3/4)x
is the same as
f(x) = 12 + (3/4)x
you could also write it as
f(x) = 12 + 3x/4
don't skip things, always think about the rules of the sequence of the operations in an expression, and how a reader could understand it. always be as precise, complete and consistent as possible.
An advantage of a weighted moving average is that recent actual results can be given more importance than what occurred a while ago. True or false?.
Answers
An advantage of a weighted moving average (WMA) is that recent actual results can be given more importance than what occurred a while ago is a "true" statement because "Weighted moving averages could be adjusted to emphasize more recent data in forecasting."
What is moving average?Moving averages are popular tools for measuring momentum among active traders. The formula used to calculate the average is the primary distinction between a simple moving average, a weighted moving average, and an exponential moving average.
Some key features regarding the weighted moving average are-
The SMA calculates the average price above a specific time period, whereas the WMA emphasizes current data.The exponential moving average (EMA) is also weighted to reflect the most recent prices, however the rate of decrease among one price and its previous price is not constant but exponential.Weighted moving averages give more weight to recent data points as they're more relevant than data points from the distant past. The total of the weightings should equal 1 (or 100%). The weightings are distributed equally in the case of the simple moving average.To know more about moving average, here
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Arianys wants to ride her bicycle 55.5 miles this week. She has already ridden 19 miles. If she rides for 5 more days, which equation could be used to determine, m, the average number of miles she would have to ride to meet her goal? A. 19m = 55.5 - 5 B. 5m = 19 - 55.5 C. m = 55.5-19/5 D. 55.5 = 19m + 5
Answers
The equation that could be used to determine, m, the average number of miles she would have to ride to meet her goal is; m = (55.5 - 19)/5
How to Solve Algebra Word Problems?
Distance that she wants to ride this week = 55.5 miles
Distance she has already ridden so far = 19 miles
Now, we are told that she will ride 5 more days.
If m is the average number of miles she has to ride to meet her goal, then we can say that;
5m + 19 = 55.5
Making m the subject by, we have;
m = (55.5 - 19)/5
Thus, the equation that could be used to determine, m, the average number of miles she would have to ride to meet her goal is;
m = (55.5 - 19)/5
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Determine if there is an outlier in the given data. if yes, please state the value(s) that are considered outliers. 43,44,25,13,47,34,9,53,25,41,9,54,31,6
Answers
There is an upper outlier and lower outlier that is 86.875 and -26.875.
An outlier is an observation that lies an abnormal distance from other values in a random sample from a population. In a sense, this definition leaves it up to the analyst (or a consensus process) to decide what will be considered abnormal. Before abnormal observations can be singled out, it is necessary to characterize normal observations.
Descriptive statistics
data=n=14
mean= 30.29
sample standard deviation= 18.35
sample variance = 336.84
minimum= 1
maximum= 52
range= 51
1st quartile
16.25 = median
37.50 = 2nd Quartile.
3rd quartile = 44.50
4th interquartile range = 28.25
mode = 3.00
Lower limit for outlier = Q1-1.5*IQR =16.25-1.5*28.25 =-26.125
Upper limit for outlier = Q3+1.5*IQR =44.50+1.5*28.25 =86.875
All the data points inside the limits.
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what is equivalent to -28x2 + 35x?
Answers
(35x) + (-56) this is an equivalent equation.
Answer:
7x(-4x+5)
Multiplying: -56+35x
Step-by-step explanation:
[tex]\mathrm{Factor\:assuming\:x\ge-\\\infty}\\\:a^{b+c}=a^ba^c\\x^2 = xx\\-28xx+35x\\-7 \times 4xx + 7 \times 5x\\=7x\left(-4x+5\right)[/tex]
The only reason I had to assume x was any negative number was so that the absolute value did not matter in this instance, therefore making x become a negative number.
The other result, however, came from this:
[tex]-28\cdot \:2=-56\\=-56+35x[/tex]
Inform me of any concerns. Hope this helps.
Help I don’t know how to do this
Answers
Answer:
∠1 is 101 ∠4 is 79 and ∠2 is 79
Step-by-step explanation:
This is because ∠1 is a vertical angle of ∠3 so they have the same angle
For ∠4 and ∠2 you would do 101-180 because they are supplementary do they add up to 180
Solve the equation v² = 36. What’s the value of v?
Answers
Answer:
6
Step-by-step explanation:
6 x 6 = 36
Unit 2 Logic and Proof Homework 1 Inductive reasoning
Answers
Answer:
The answers for this question is given below in the explanation section, kindly refer.
Step-by-step explanation:
Find the next 5 terms:
1) 28 < 33, 38, 43, 48, 53 => In every next term 5 is added.
2) 64 < 32, 16, 8, 4, 2 => In every next step the term is divided by 2.
3) 64 < 125, 216, 343, 512, 729 => In every next step it is a cube of next number.
4) 13 < 17, 19, 23, 29, 31 => In every next term it is the next prime number.
5) V < VI, VII, VIII, IX, X => In every next term it is the next roman numeral.
6) 8 < 13, 21, 34, 56, 90 => In every next term it is the sum of previous two terms.
7) => In every next term the arrows rotate clockwise in direction.
T/F:
8) False => 17+19 = 36, which is not a prime number.
9) True
10) True
11) True
12) True
13) True
14) False => ostrich, penguin, etc.
15) True
16) False => (a + b)² = a² + b² + 2ab
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a runner wants to run 11.7 kmkm . her running pace is 8.1 mi/hrmi/hr . how many minutes must she run?
Answers
The runner should run for roughly around 54 minutes.
What do we mean by conversion factors?A conversion factor is an amount that is used to multiply or divide one set of units into another. When converting to an equal value, the appropriate conversion factor must be used. To convert inches to feet, for example, the suitable conversion value is 12 inches equal to 1 foot.To find how many minutes must the runner run:
1 mile = 1.6 kmSo, 8.1 miles = 1.6 kmMinutes required are:
11.7 × 60 / 8.1 × 1.6 = 54.16Therefore, the runner should run for roughly around 54 minutes.
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Evaluate Piecewise Functions, please help asap! Thank you!
Answers
Answer:
4, -1, 5, -2
Step-by-step explanation:
Two customers spent the same total amount of money at a resturant.
* The first customer bought 8 hot wings and left a $4 tip.
* The second customer bought 10 hot wings and left a $2.80 tip.
* Both customers paid the same amount per hot wing.
How much does one hot wing cost at this resturant in dollars and cents?
Answers
Considering the definition of an equation and the way to solve it, the cost of one hot wing is $0.6.
Definition of equationAn equation is the equality existing between two algebraic expressions connected through the equals sign in which one or more unknown values, called unknowns, appear in addition to certain known data.
The solution of a equation means determining the value that satisfies it and the equality must be true.
To solve an equation, keep in mind:
When a value that is adding, when passing to the other member of the equation, it will subtract.If a value you are subtracting goes to the other side of the equation by adding.When a value you are dividing goes to another side of the equation, it will multiply whatever is on the other side.If a value is multiplying it passes to the other side of the equation, it will pass by dividing everything on the other side.This caseBeing "x" the cost of one hot wing, and knowing that:
The first customer bought 8 hot wings and left a $4 tip. → First customer payment= 8x +4The second customer bought 10 hot wings and left a $2.80 tip. → Second customer payment= 10x + 2.80Both customers paid the same amount per hot wing.the equation in this case is:
First customer payment= Second customer payment
8x +4= 10x +2.80
Solving:
4 - 2.80= 10x - 8x
1.2= 2x
x= 1.2 ÷ 2
x=0.6
Finally, the cost of one hot wing is $0.6.
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1. Simplify. Show all steps for full credit. Circle your final answer. (4 points).
(4+1)^3/ 2+4^2-13
Answers
Answer: 25
Step-by-step explanation:
(4+1)^3/ 2+4^2-13=
5^3/(2+16-13) =
125/(18-13)=
125/5=25
Lisa works a weekend job for some extra money during school. She works Friday for 5 hours, Saturday for 8 hours and Sunday for 3 hours.
On Friday she makes $55.
On Saturday she makes $88.
On Sunday she makes $33.
How much money does Lisa make per hour at her job?
Answers
HOW TO DO???
- First you have to find how much money does she get per hour on each day
- Then add the amounts together
SLOVE
Lisa get: 55 : 5= 11$ per hour on Friday
Lisa get: 88 : 8= 11$ per hour on Saturday
Lisa get: 33 : 3= 11$ per hour on Sunday
At the end Lisa get: 11$ x 3= 33$ per hour at her job
{ I think my English isn't very good either because I'm just intermediate so I hope you understand it.}
Help me with 15 and 17. I need this done today
Answers
Answer:
15. x = 4
17. AB = 9
Step-by-step explanation:
15.
Since B is in the middle of AC, AB + BC = AC
So,
x + 5 + 2x - 4 = 13
3x + 1 = 13
3x = 12
x = 4
17.
Since B is in the middle of AC, AB + BC = AC
So,
x + 16 + x + 17 = 19
2x + 33 = 19
2x = -14
x = -7
Going back to the question, it says to find the length of AB.
AB = x + 16 = -7 + 16 = 9
Four less than a number is tripled. The result is 15. Which of the following equations properly models this information.
Answers
Four less than a number is tripled. The result is 15. Equations properly models this information is x - 9.
When you need to multiply the supplied number by the sum of the two numbers, you apply the distributive property. Following the order of operations in such situations often entails adding the numbers first, followed by multiplying them by the specified quantity.
Based on the given condition formulates = 3 (z - 4) = 15
Applying the distributive property 3z - 12 - 15
Rearrange variables to the left side of the equation 3z - 15 + 12
Calculate the sum of difference 3z- 27
Divide both sides of the equation by the coefficient of variable w = 27/3
Cross out the common factors : x - 9
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Need an explanation, thx
Answers
Answer:
see explanation
Step-by-step explanation:
calculate the slope m using the slope formula and equate to the given slope
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
(a)
(x₁, y₁ ) = (- 3, - 4 ) and (x₂, y₂ ) = (0, y )
[tex]\frac{y-(-4)}{0-(-3)}[/tex] = [tex]\frac{y+4}{0+3}[/tex] = [tex]\frac{y+4}{3}[/tex] , then
[tex]\frac{y+4}{3}[/tex] = 2 ( multiply both sides by 3 )
y + 4 = 6 ( subtract 4 from both sides )
y = 2
ordered pair is (0, 2 )
(b)
(x₁, y₁ ) = (- 2, 2 ) and (x₂, y₂ ) = (x, 5 )
[tex]\frac{5-2}{x-(-2)}[/tex] = [tex]\frac{3}{x+2}[/tex] , then
[tex]\frac{3}{x+2}[/tex] = [tex]\frac{3}{7}[/tex] ( cross- multiply )
3(x + 2) = 21 ( divide both sides by 3 )
x + 2 = 7 ( subtract 2 from both sides )
x = 5
ordered pair is (5, 5 )
(c)
(x₁, y₁ ) = (x, 5 ) and (x₂, y₂ ) = (1, - 5 )
[tex]\frac{-5-5}{1-x}[/tex] = [tex]\frac{-10}{1-x}[/tex] , then
[tex]\frac{-10}{1-x}[/tex] = [tex]\frac{-5}{2}[/tex] ( cross- multiply )
- 5(1 - x) = - 20 ( divide both sides by - 5 )
1 - x = 4 ( subtract 1 from both sides )
- x = 3 ( multiply both sides by - 1 )
x = - 3
ordered pair is (- 3, 5 )
(e)
(x₁, y₁ ) = (- 6, y ) and (x₂, y₂ ) = (8, 2 )
[tex]\frac{2-y}{8-(-6)}[/tex] = [tex]\frac{2-y}{8+6}[/tex] = [tex]\frac{2-y}{14}[/tex] , then
[tex]\frac{2-y}{14}[/tex] = - [tex]\frac{1}{7}[/tex] ( cross- multiply )
- 7(2 - y) = 14 ( divide both sides by - 7 )
2 - y = - 2 ( subtract 2 from both sides )
- y = - 4 ( multiply both sides by - 1 )
y = 4
ordered pair is (- 6, 4 )
Identify the transformation that maps the figure onto itself. A Reflect across the line x = 3 Reflect across the line x = 3, B Rotate 180° about the point (3, -3)Rotate 180° about the point (3, -3) C Rotate 180° about the point (5, -5)Rotate 180° about the point (5, -5) D Reflect across the line y = -3
Answers
Answer:
D Reflect across the line y = -3
Step-by-step explanation:
The only way you can divide the trapezoid so that there are two congruent parts is when you draw a line on y=-3.
What is the difference between the value of the 4 in 25.48 and 12.64
Answers
The difference between the values of 4 is 0.36.
We need to understand the place value and face value of a digit in a number.
Place value of digit is decided by putting the number of zeroes equal to the number of digits after that digit.
And the face value of a number is the number itself.
Here the two numbers given is 25.48 and 12.64. And we have to find the difference in place value of 4 in the given number.
The value of 4 in 25.48 is 0.40.
The value of 4 in 12.64 is 0.04.
Required difference = 0.40-0.04
= 0.36
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Factor the expressions:
Answers
Answer:
6a²b(2b-3a³+5)
in here we need to consider about highest common factor. After that take it as common and factorise