The graph of a piecewise function f(x) = 3x if x ≤ 3 and f(x) = 2x if x > 3 is shown in the picture.
What is a piecewise function?
The graph of a piecewise function contains numerous curve components. It signifies that it has a plethora of definitions based on the value of the input. In other words, a piecewise function behaves differently depending on the input.
We have:
f(x) = 3x if x ≤ 3
f(x) = 2x if x > 3
We can draw the piecewise function as shown in the attached picture.
At x = 3
f(3) = 3(3) = 9 because f(x) = 3x if x ≤ 3
Thus, the graph of a piecewise function f(x) = 3x if x ≤ 3 and f(x) = 2x if x > 3 is shown in the picture.
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Drag each graph to show if the given data has a positive correlation, a negative correlation, or no correlation.
The solution is:
the first graph is positive correlation
The second is No correlation
The third is positive correlation
The fourth is negative correlation.
Here, we have,
each correlation would mean:
A positive correlation : As one variable increases, so does the other
In other words, the line would be going 'up'
A negative correlation : As one variable increases, the other decreases
In other words, the line would be going 'down'
No correlation : there is no connection between the two
In a visual way, you won't be able to see a 'line'.
so, from the given graph we get,
Therefore, the first graph is positive correlation
The second is No correlation
The third is positive correlation
The fourth is negative correlation.
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HELPP!! PLSS ANSWER HOW YOU GOT THAT ANSWE.I will add points who answers fully!!
Kevin purchased 5 hamburgers for $1.40 each and 6 sodas for $1.25 each. The tax on his order was 8%. What was the total cost of Kevin's purchase?
A $22.50
B $I5.66
C $14.58
D $14.31
Answer:
B. $15.66
Step-by-step explanation:
Hamburgers: 5 x 1.40 = 7
Sodas: 6 x 1.25 = 7.5
Total food cost = 14.50
tax is 8%, 0.08 as a decimal
14.50 x 0.08 = 1.16 tax
add food total and tax:
14.50 + 1.16 = $15.66
A kite is flying 95 feet off the ground in a string is pulled toward the angle of elevation of the kite is 40° find the length of the string.
Answer:
It is 127.5 feetStep-by-step explanation:
[tex] \sin(40) = \frac{95}{x} \\ x = \frac{95}{ \sin(40) } \\ x = 127.5 \: feet[/tex]
I hope that is useful for you :)
Y= 25x + 115
What is the rate of change and what does it represent?
Answer:
Step-by-step explanation:
y= 265
The rate of change of the equation is 25.
The rate at which one quantity changes in relation to another quantity is known as the rate of change function. Simply put, the rate of change is calculated by dividing the amount of change in one item by the corresponding amount of change in another.
Given that the linear equation is y = 25x + 115. The rate of change of the equation is represented by the slope or gradient of the equation of the line.
Here in the equation y = 25x + 115 the rate of change is 25. Which is equivalent to the slope of the line.
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Please help - How many whole months will it take for a motorbike valued at £2550 to depreciate to less than £1200 if depreciation is at a rate of 5% per month?
Therefore the answer is 27 or more months to depreciate to less than £1200 at a rate of 5% per month.
What is depreciation?Depreciation is a phrase that covers two different elements of the same idea: first, the real decline in an asset's fair value, such as the annual decline in the worth of industrial equipment.
What is asset and liabilities?Your balance sheet may be broken down into two categories, assets and liabilities, in its most basic form. A company's assets are any possessions that have the potential to provide future financial gain. Your debts to other people are called liabilities. In other words, assets increase your wealth while obligations decrease it.
The value of the motorbike will decrease by 5/100 = 0.05 (or 5%) each month. So, to find out how many months it will take for the value of the motorbike to decrease from £2550 to less than £1200, you need to solve the following equation:
£2550 - (0.05 * x) < £1200
where x is the number of months.
You can re-arrange the equation to solve for x:
x > (2550 - 1200) / 0.05
x > (1350) / 0.05
x > 27
So it will take the motorbike 27 or more months to depreciate to less than £1200 at a rate of 5% per month.
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Write the number 4,207 in expanded form
Answer:
That's easy! four thousand two hundred and seven or 4,000+200+7
Step-by-step explanation:
step bye step problem
Answer:
D.
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Between 2020 and 2021, the population of a city increased by 20% In 2021, the population of the city was 420 000. What was the population of the city in 2020?
Answer:
350,000.00
Step-by-step explanation:
420,000.00 - 20% = 350,000.00
Increase percentage: 70,000.00
-15 POINTS-
A.
B.
C.
Answer:
Trapezoid
Step-by-step explanation:
The math
Barrett is comparing the membership fees for two museums. The art museum charges a one-time fee of $8.25 plus $2.25 per month. The science museum charges a one-time fee of $10.75 plus $3.50 per month. How much does Barrett save by joining the art museum instead of the science museum? Enter your answers in the boxes.
(blank) $ + (blank) $ m put answers in blanks
Barrett saves by joining the art museum instead of science museum is $2.50 plus $1.25 per month.
What is concept of savings?Saving money is one of the essential aspects of building wealth and having a secure financial future. Saving money gives you a way out of the uncertainties of life and provides you with an opportunity to enjoy a quality life.Savings represents an individual's unspent earnings. It is the amount that remains after meeting the household expenses.
What are benefits of membership?Member benefits are the perks, services, and access that members receive as part of their membership. In other words they are what members get in exchange for joining the organization and if applicable, paying member dues.
Now we have
Fee charged by science museum= $10.75
Fee charged by art museum =$8.25
Now by subtracting he saves =$2.50
Again
he saves =amount charged by science - amount charged by arts
= $3.50 -$2.25
= $1.25
In the results he saves $2.50 +$1.25 per month.
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Decide whether the relation is a function
Step-by-step explanation:
im not sure but,
i think its a Functionhope it helps.Answer:
function is the correct answer in my opinion hope it's helps you
please please help so desperate
Answer:
The objective of the PACER is to run as long as possible while keeping a specified pace. Students run back and forth across a 20-meter space at a pace that gets faster each minute. A point is scored for each 20-meter distance covered. The test is easier in the beginning but progressively gets more difficult.
Step-by-step explanation:
15m+20g=300
m+g=17
solve by elimination and SHOW YOUR WORK
Answer:
change the order, so the terms line up
20g+15m=300
g+m=17
multiply the second equation by 20, so the 20g and -20g can cancel out
20g+15m=300
-20g-20m=-340
solve the equation, then divide -5 to both sides to isolate the m
-5m=-40
m=8
substitute the value of m into one equation to find the other value
g+8=17
g=9
write them in ordered paired form
(9, 8)
Step-by-step explanation:
hope this helps :)
The dot plot shows 20 students’ scores on a quiz in English class.
If one student from the class is chosen at random, what is the probability that he or she scored more than 15 points on the quiz?
A. 25
B. 35
C. 18
D. 112
Question 2(Multiple Choice Worth 5 points)
(Two-Step Linear Inequalities MC)
Find c for the inequality three fifths times c plus 7 is less than or equal to two fifths.
c ≤ −11
c ≥ −11
c ≤ −5
c ≥ −5
The value of c obtained from the linear inequality (3/5)·c + 7 ≤ 2/5 is the option;
c ≤ -11
What is an inequality?An inequality is a (non equal) comparison between two expressions that have different values.
The specified inequality can be expressed as follows;
[tex]\dfrac{3}{5} \times c + 7 \leq \dfrac{2}{5}[/tex]
Simplifying the above inequality by subtracting 7 from both sides, we get;
[tex]\dfrac{3}{5} \times c + 7 - 7 \leq \dfrac{2}{5} - 7[/tex]
Evaluating and simplifying the right hand side into a fraction, we get;
[tex]\dfrac{3}{5} \times c + 0 \leq \dfrac{2}{5} - 7 = \dfrac{2 - 35}{5} = \dfrac{-33}{5}[/tex]
[tex]\dfrac{3}{5} \times c \leq \dfrac{-33}{5}[/tex]
Multiplying both sides by 5, we get;
[tex]5\times \dfrac{3}{5} \times c \leq 5 \times \dfrac{-33}{5}[/tex]
[tex]\dfrac{5}{5} = 1[/tex], therefore;
3·c ≤ -33
Dividing both sides of the above inequality by 3, we get;
3·c ÷ 3 ≤ -33 ÷ 3
c ≤ -11
The correct option is; c ≤ -11
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A cone has a diameter of 7.5 ft and a height of 4.25 ft. What is the volume of the cone to the nearest tenth? Use 3.14 for π.
Answer:
5,024 ft³
Step-by-step explanation:
I took the k12 quiz
A sign is 4 1/2 feet wide and 5 1/4 feet long. Find the area of the surface of the sign.
Answer:
I think it is 23 5/8
Step-by-step explanation:
b*h
2 1/2 dividesd by 3 5/8
Anyone help me please and thanks you
:)
Answer:
71.43%
Step-by-step explanation:
100/7 = 14.29
14.29 times 5 = 71.428 rounded to 71.43
Please help!!!
NO LINKS
Answer:
76 people
Step-by-step explanation:
3.809% will by more than one.
this times 2000 is 76.1904
you cant have fractions of people
If 1 day equals 1 hour, what does 1 year equal?
1 day = 1 hour
1 year = 365 days
365 x 1 = 365
= 365 hours
Answer:
if one day equals one hour then a year is equal to 365 hours
HEPL MEEEE
1. 1/2(x+1)-1/3(x-1)
2. x-2/3(x-1)
Answer:
1. 1/6x + 5/6
2. 1/3x + 2/3
Step-by-step explanation:
Answer:
- 1/6x + 5/6, 1/3x + 1
Step-by-step explanation:
1. 1/2 (x + 1) - 1/3 (x - 1) = 1/2x + 1/2 - 1/3x + 1/3 = - 1/6x + 5/6
2. x - 2/3 (x - 1) = x - 2/3x + 1 = 1/3x + 1
Solve the following expression where a=-2 b=3
-4a + 2b
Answer:
14
Step-by-step explanation:
so first our equation is: -4a+2b so a is -2 right? okay so your going to do
-4 x -2 which you get 8 (minus times minus is postive). and now for 2b: 2x3 is 6 so 6+8 is 14
Which option best describes the polynomial?
4x^6+6x^2-1
1. second degree polynomial with two terms
2. sixth degree polynomial with three terms
3. fourth degree polynomial with two terms
4. third degree polynomial with three terms
We are asking everyone to focus on reducing their average transaction time by 10%. The average transaction time for this location is 6 minutes and 52 seconds."So we have to get the average transaction time down to __________."
Answer:
Step-by-step explanation:
The average transaction time of this location reduced to 371 seconds.
What kind of shoes are these not sure? I know they’re Jordan but be specific
find quotient 5/4 divided by 13/12
Answer: 1.15384615385
Step-by-step explanation:
divide
A rectangular prism had a volume of 198 cubic centimeters. The height of this prism was changed
from 3 centimeters to 6 cm to create a new rectangular prism. The other dimensions stayed the
same. What is the volume of this new prism?
Answer:
(C) 369 cm
Step-by-step explanation:
because i got it right :D
I need help asap , this is geometry. I need it solve in the simplest radical form.
let the third side be b then use the pythagoras theorem
In which step was the addition property of equality applied?
Answer:
Step-by-step explanation:
Dans le calcul d'une somme, ou d'un produit, de deux nombres, on peut échanger la place de deux nombres. Dans le calcul d’une somme, ou d'un produit, de trois nombres (ou plus), on peut associer de différentes façons les nombres deux par deux. Pour calculer le produit d’une somme par un nombre, on peut calculer le produit de chacun des termes par ce nombre, puis calculer la somme des résultats obtenus.