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Write an equation for the piecewise function over the domain
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The equation of piecewise function is [tex]y=-\frac{1}{2} x+2[/tex]
Equation of piecewise function:From given graph of function, we have to write function for the domain of [tex]-2\leq x\leq 2[/tex].
It is observed that, in the particular domain graph of function is a straight line, which passes through the points [tex](-2,3)[/tex] and [tex](2,1)[/tex].
Equation of line is,
[tex]y-3=\frac{1-3}{2+2}(x+2) \\\\y-3=-\frac{1}{2} (x+2)\\\\y=-\frac{1}{2} x-1+3\\\\y=-\frac{1}{2} x+2[/tex]
The equation of piecewise function is [tex]y=-\frac{1}{2} x+2[/tex]
Learn more about the equation of function here:
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PLEASE HELP ITS URGENT
DONT GUESS
WILL MARK BRAINLIEST
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Answer:
area = 2106
perimeter = 210
Step-by-step explanation:
area = length x width
(for this specific problem and since the shape is a rectangle)
perimeter = length + length + width + width
Answer:
A = 2106 yd^2 P = 210 yd
Step-by-step explanation:
PART A:
A = l x w
A = 78 x 27 = 2106 yd^2
P = l + w + l + w = 78 + 27 + 78 + 27 = 210 yd
PART B:
area
PART C:
perimeter
the cost of a family membership at the health club is $58 per month plus a one-time $129 startup fee if a family spend $651 how many months in their membership
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Answer:
Step-by-step explanation:
58 x 12 = 696 696 + 129 = $825 for a year
they are 9 months in
Round 0.41826923 to the nearest tenth
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Answer:
0.4
Step-by-step explanation:
if mia Khalifa was black what would her situation be
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Answer:
i really don’t know
Step-by-step explanation:
that’s an interesting question
Answer:
i dont know but can we do rp on pad.let?
Step-by-step explanation:
Jack decides to invest $300 per quarter into an annuity. How long would he have to keep investing if the annuity is paying 8% annually and he wants to accumulate $10,000?
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Answer:
25.95 quarters which is about 6.5 years
Step-by-step explanation:
(5 + 7) = x
In word form
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Answer:
Five plus seven equals x
Step-by-step explanation:
Answer:
Five plus seven equals x
Step-by-step explanation:
Pollsters are concerned about declining levels of cooperation among persons contacted in surveys. A pollster contacts 99 people in the 18-21 age bracket and finds that 84 of them respond and 15 refuse to respond. When 276 people in the 22-29 age bracket are contacted, 257 respond and 19 refuse to respond. Assume that 1 of the 375 people is randomly selected. Find the probability of getting someone in the 18-21 age bracket or someone who agreed to respond.
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Answer:
The probability of getting someone in the 18-21 age bracket or someone who agreed to respond [tex]= 0.365[/tex]
Step-by-step explanation:
The counts are as follows
Age Group No of people contacted No of refusals Total
18-21 88 8 96
22-29 240 42 282
Total 328 50 378
The probability of getting some one in the age bracket of 18-21 or some one who refused to respond is
[tex]= \frac{96}{378} + \frac{50}{378} - \frac{8}{378} \\= \frac{96+50-8}{378} \\= \frac{138}{378} \\= 0.365[/tex]
Which expression is equivalent to 6(-4f + 5)?
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Answer:
-24f + 30
Step-by-step explanation:
Use the distributive property.
What quadrilateral has both diagonals bisecting each other but they are not congruent or perpendicular?
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Answer:
A parallelogram with different side lengths.
Step-by-step explanation:
If we consider a parallelogram (not rectangle, not square, and not a rhombus), then its diagonals will bisect each other but would be not congruent or perpendicular. See attached image.
find the rectangle coordinates of (5,30 degrees)
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Can someone explain how you do this?
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Look at the formula for finding distance. Which of the following is the formula to find time? [picture included]
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Answer:
A.
Step-by-step explanation:
Answer:
[tex] \huge \: \boxed { \boxed{ \red{ a)t = \frac{d}{r}}}}[/tex]Step-by-step explanation:
to understand thisyou need to know about:equationPEMDASgiven:[tex]d = rt[/tex]to find[tex]t[/tex]let's solve:[tex]step - 1 :define[/tex]
[tex]d = rt[/tex]
[tex]step - 2 : solve[/tex]
[tex]rewrite : \\ rt = d[/tex][tex]divide \: both \: sides \: by \: r : \\ \frac{rt}{r} = \frac{d}{r} [/tex][tex]simplify : \\ t = \frac{d}{r} [/tex][tex] \huge \: \boxed { \boxed{ \red{ \therefore t = \frac{d}{r}}}}[/tex]
Find the number that makes the ratio equivalent to 2:7.
6:?
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Answer:
6:21
Step-by-step explanation:
2 was multiplied by 3, so 7 should also be multiplied by 3. The answer is 6:21. Hope this helps!
The oldest child in a family of four children is twice as old as the yougest. The two middle children are 12 and 16 years old. If the average age of the children is 15.25 , how old is the youngest child?
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61-12-16=33
11 and 22 go into 33
Youngest is 11
The age of the youngest child will be 11 years old.
What is the solution to the equation?The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.
The oldest child in a family of four children is twice as old as the youngest.
Let x be the age of the youngest child and y be the age of the oldest child. Then the equation is given as,
y = 2x ...1
The two middle children are 12 and 16 years old. If the average age of the children is 15.25. Then the equation is given as,
(x + 12 + 16 + y) / 4 = 15.25
x + y = 33 ...2
From equations 1 and 2, then we have
x + 2x = 33
3x = 33
x = 11
The age of the youngest child will be 11 years old.
More about the solution of the equation link is given below.
https://brainly.com/question/545403
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What's the GCF of 77?
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The cost to rent a car is $25 plus an additional $0.15 for each mile the car is driven. How many miles was a car driven if
it had a bill of $71.80?
479
312
O
454
645
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what muiltupication will give you 900
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Answer:
900x0
Step-by-step explanation:
>:)
Answer:
100x9, 90x10, 22.5x40
Step-by-step explanation:
There is a lot more but you got to look it up
2u+15 less than or equal to 55
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Answer:
less than i dont know
wxz
Select all that may be correct
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Answer:
Option (2) and Option (6)
Step-by-step explanation:
Expression representing the error can be given by,
Expected value = Original value ± percentage error
If original value of the ice cream filled in the container = 64 ounce
Percentage error to fill the ice cream in each container = 1.5%
So net error = ± 1.5% of 64
= [tex]64(\frac{1.5}{100})[/tex] ounce
= 64(0.015) ounce
Therefore, expression that can show the maximum maximum amount of ice cream in the container will be
= 64 + 64(0.015) Option (6)
= 64(1 + 0.015)
= 64(1.015) Option (2)
Therefore, Option (2) and Option (6) are the correct options.
Which statement is NOT TRUE when solving 5x - 4 = 26 *
O I need to add 4 to both sides of the equation.
O I need to divide both sides of the equation by 5.
O My answer is that x = 6
O My answer is that x = 4.4
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Answer:
My answer is that x = 4.4
Step-by-step explanation:
The answer to the equation is 6, so the false one is the last one. All the other ones are true.
Forty percent of the students who enroll in a statistics course go to the statistics laboratory on a regular basis. Past data indicates that 55% of those students who use the lab on a regular basis make a grade of A in the course. On the other hand, only 15% of students who do not go to the lab on a regular basis make a grade of A. If a particular student made an A, determine the probability that she or he used the lab on a regular basis. (Round your answer to three decimal places.)
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Answer:
0.71 = 71% probability that she or he used the lab on a regular basis.
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Student got an A
Event B: Used the lab on a regular basis.
Probability of an student getting an A:
55% of 40%(go to the lab on a regular basis).
15% of 100 - 40 = 60%(do not go to the lab on a regular basis).
So
[tex]P(A) = 0.55*0.4 + 0.15*0.6 = 0.31[/tex]
Probability of getting an A and using the lab on a regular basis:
55% of 40%, so:
[tex]P(A \cap B) = 0.55*0.4 = 0.22[/tex]
Probability that she or he used the lab on a regular basis.
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.22}{0.31} = 0.71[/tex]
0.71 = 71% probability that she or he used the lab on a regular basis.
find the perimeter of a rectangle whose sides are 8 1/2cm by 4 1/2cm.
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Answer:
26 cm
Step-by-step explanation:
To find the perimeter with the side lengths, you can use this formula: 2(L+W) because it's the measure of the distance around the rectangle. So,
2(8.5+4.5)
2(13)=26
Answer:26
Step-by-step explanation:
A factory can make 120 backpacks in 3 hours.
How long would it take to make 600 backpacks?
15 h
20 h
30 h
40 h
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120 is 3 hrs and 600 is 5 times more so it’ll take 15 hrs
Two candles were lit and are burning. Candle A has
an initial height of 10 inches and burning down at a
rate of 1.5 inches per hour. Candle B is burning down
at a rate of 0.5 inches per hour and has an initial
height of 6 inches. Let t represent time in hours and
h represent the total height of the candle.
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Answer:
A - 6 hours and 40 minutes
B - 12 hours
Step-by-step explanation:
Candle A - After 6 hours: the candle will be 1 inch tall, because 6 times 1.5 = 9. You need an extra 40 minutes for the candle to burn completely, because 10/1.5 = 6 and 2/3
Candle B - After 12 hours, the candle will be completely burned, because 6/.5 = 12.
Equation - Initial height/inches burned per hour = time it takes for cnadle to burn down completely
Can you conclude that these triangles are congruent?
yes or no?
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javier buys 3 postcards during each day of vacation. how many days will javier have to spend on vacation before he will have bought a total of 18 postcards?
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explanation: 18/3=6
Name two ways you can figure out an area of a composite figure.
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Answer: they contain valuable items and are very interesting
Step-by-step explanation:
Classify each pair of numbered angles
Drag and drop the descriptions into the boxes to correctly classify each pair of numbered angles. Each description may be used more
than once
*
linear pair
vertical
adjacent
none of these
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Answer:
Vertical and thats it
Need help please I would be grateful
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Answer:
The correct answer is given by option A.
Step-by-step explanation:
A function is said to be increasing for intervals of x in which the values of y are increasing, that is, it trends upwards, and decreasing for intervals of x in which the values of y are decreasing, that is, it trends downwards.
In this question:
It trends upwards from the start, at negative infinity, until 0.
It trends downwards from 0, until the end, at positive infinity.
So the correct answer is given by option A.