The values for the stated domain of the function are-
F(-4) = 10; F(2) = 4; F(0) = 0.
What is the definition of the domain of the function?The range of values of which we are allowed entry into our function is described as the domain of a function. The x values for a function like f make up this set (x).A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of numbers.As per the stated function.
F(x) = 6-x
The domain for the function are-
-4,2,6
The value of the function are, put each value in the place of x in the function.
F(-4) = 6 - (-4)
F(-4) = 6 + 4
F(-4) = 10
F(2) = 6 - 2
F(2) = 4
F(6) = 6 - 6
F(0) = 0
Thus, the values for the stated domain of the function are- 10, 4 and 0 respectively.
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Suppose that the functions and are defined as follows.
Find the following.
The expression we get from the given functions r and s defined for all real numbers x.
r( s(-3))= -38
Given that,
All real numbers x are defined by the functions r and s.
r(x) =2x+1
s(x) =-2x²-2
We have to find the expression
r( s(-3))
Take the functions,
r(x) =2x+1
s(x) =-2x²-2
Now, Take
r( s(-3))
Substitute s function first
r(-2(-3)²-2)
r(-2(9)-2)
r(-18-2)
r(-20)
Now substitute r function
2(-20)+2
-40+2
-38
Therefore, The expression we get from the given functions r and s defined for all real numbers x.
r( s(-3))=-38
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Getting rain at least once in 11 days if Probability of rain on each single day is 0.4
Answer:
because u can't predict the days rain will fall so u can say it will fall in ratio 0:4
Write an equation that has the given solutions. -4, 6
Answer: Possible Answers:
x2+x−12=0
x2−x−12=0
x2+3x−4=0
2x2+2x−6=0
x2−4x−3=0
Step-by-step explanation: youer welcome
what is the domain and range of
{(3,2).(6,5),(9,9)}
Check the picture below.
Present value interest rate? You expect to receive $10000 as a bonus after 5years on the job. You have calculated the parent value of this bonus and the answer is $8000 what discount rate did you use in your calculation
The discount rate used in calculator wound be 4.56%.
Given that,
You anticipate getting a bonus of $10000 after five years on the job.
We have the result of your calculation for the parent value of this bonus is $8000. what percentage of a discount rate did you use.
We know that to find the present value of a future sum of money .
PV= FV/(1+r)ⁿ
Here,
PV is present value = $8000
FV is future value = $10000
r is discount rate we have to find
n is time = 5 years
Substitute in the formula,
$8000=$10000/(1+r)⁵
(1+r)⁵=$10000/$8000
(1+r)⁵=1.25
1+r=[tex]1.25^{1/5}[/tex]
1+r=1.0456
r=1.0456-1
r=0.0456
r=4.56%
Therefore, The discount rate used in calculator wound be 4.56%.
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6. Use the data below to make a scatter plot in Desmos and find the
exponential regression equation. Round to the nearest hundredth if
necessary. Do not type spaces.
Time (years)
7. Using your equation from #6, find out how much the Fire Dragons
comic book would be worth in 55 years.
Your answer
Answer:
I hope that the picture below helps.
Step-by-step explanation:
what is f(2) for f(x) = 3^x--13
f(2) = -4
Step-by-step explanation:
f(2) = 3^2-13
f(2) = 9-13
f(2) = -4
Find the eigenvalues and eigenvectors
Answer:
Step-by-step explanation:
Tan 5 pi / 9- tan 7 pi / 18 / 1+tan 5pi/ 9 tan 7pi/18
The Mathematical Final Answer:
0
132.16 kg of beef was placed into 16 packages of equal weight. what is the weight of one package beef?
The weight of one package beef is 8.26kg
What is division of numbers?The division is one of the basic arithmetic operations in math in which a larger number is broken down into smaller groups having the same number of items.
For example, if 10 students are to share 100 oranges, if they are to share it equal, then each students will receive 100/10= 10 oranges
Similarly 132.16kg was placed into 16packages of equal weight.
Therefore the weight of each package beef will be 132.16/16= 8.26kg
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help with this equation
The equation of the line with coordinates (-7,3), (8,3) is y-3=0 as the slope of line is 0 because x-ordinate is same in both the points.
What is equation?A straight line's general equation is y = mx + c, where m denotes the gradient and y = c denotes the point at which the line crosses the y-axis. On the y-axis, this value c is referred to as the intercept. The point-slope form, standard form, and slope-intercept form are the three main types of linear equations.
The two point form of equation,
y-y1=m(x-x1)
m=(y2-y1)/(x2-x1)
m=(3-3)/(8--7)
m=0
y-3=0(x+7)
y-3=0
Because the x-ordinate is the same at both points, the equation for the line with coordinates (-7,3) and (8,3) is y-3=0.
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Yoga pants are on sale for 1/3 off the original price. If a pair of yoga pants normally costs $60, what is sales price?
The sales price of the yoga pants is $20.
How to calculate the price?It should be noted that from the information illustrated, the Yoga pants are on sale for 1/3 off the original price and a pair of yoga pants normally costs $60.
The sales price will be:
= Fraction given × Original price
= 1/3 × $60
= $20
The price is $20.
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Petrolyn motor oil is a combination of natural oil and synthetic oil. It contains 5 liters of natural oil for every 6 liters of synthetic oil. In order to make 836 liters of Petrolyn oil, how many liters of synthetic oil are needed?
The liters of synthetic oil that are needed is 456 liters.
How to calculate the liters?From the information, petrolyn motor oil is a combination of natural oil and synthetic oil. It contains 5 liters of natural oil for every 6 liters of synthetic oil.
To make 836 liters of oil, the liters of synthetic oil will be:
= 6 / (6+5) × 836
= 6/11 × 836
= 456
Therefore, 456 liters are needed.
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Best Buy has an iPad for $540. This weekend it’s on sale for 30% off. Best Buy charges 8% sales tax. If you were to purchase this iPad this weekend, what is the amount of money do you give the clerk? Show your work.
Answer:
Step-by-step explanation:
540x0.30=378
378x0.08=30.24
378+30.24=408.24
Consider the following linear equation.
y=−43x+2
Step 1 of 2 : Determine the slope and the y-intercept (entered as an ordered pair) of the equation above. Reduce all fractions to lowest terms.
Slope: -1/9
Y-Intercept: 2
which of these statements below are true? Select all that apply
Answer:
Step-by-step explanation:
the answer is D i'm pretty sure
What is the first step in estimating the quotient for 492 divided by 50?
Answer:
10
Step-by-step explanation:
Round 492 to 500, then estimate 500/50
Deshaun's gas tank is 1/4 full. After he buys 9 gallons of gas, it is 5/8 full. How many gallons can Deshaun's tank hold?
Answer:
Step-by-step explanation:
so what is the difference from 1/4 to 5/8 ? is the question
2/8=1/4
5/8-2/8 = 3/8
9 gallons of fuel fill 3/8 of the tank
since 3/8 is 9 gallons we can see that 1/8 will be 3 gallons or 9/3=3
then multiply 3 gallons by the 8 parts for the whole tank
3*8=24 gallons.
Than tank can hold 24 gallons
Diana is packing a lunch that will include an orange. Diana has 3 navel oranges, 5 mandarin oranges, and 4 Valencia oranges. If Diana selects an orange at random, what is the probability that she selects a navel orange?
Give your answer as a simplified fraction.
Answer:
Step-by-step explanation:
1. Ok. Probability is something out of all. Add to get the bottom base of the probability.
3+4+5= 12
2. Probability is something out of something so 3 navel oranges can be represented out of 12 oranges.
3 out of 12
3. Make as fraction:
3 out of 12=
3/12=
1/4 or 25 Percent!
Answer: 1/4 or 25% ( If wanted as Percent)
Answer:
1/4
Step-by-step explanation:
Number of navel oranges = 3.
Number of mandarin oranges = 5.
Number of Valencia oranges = 4.
Let N be an event that Diana selects navel orange.
The total number of oranges Diana has:
n(T)=3+5+4=12n(T)=3+5+4=12
Number of navel Oranges is:
n(N)=3n(N)=3
The probability that Diana selects a navel orange is:
P(N)=n(N)n(T)=312=14P(N)=n(N)n(T)=312=14
Hence, the probability that Diana selects a navel orange is 1414.
A basic cellular package costs $40 /month for 60 minutes of calling with an additional charge of $0.20 /minute beyond that time. The cost function C(x) for using x minutes would be
If you used 60 minutes or less, i.e. if if x≤60 , then C(x)=40 (the base charge).
If you used more than 60 minutes, i.e. (x−60) minutes more than the plan came with, you would pay an additional $0.20 for each of those (x−60) minutes. Your total bill would be C(x)=40+0.20(x−60) .
If you want to keep your bill at $50 or lower for the month, what is the maximum number of calling minutes you can use?
Answer:
78
exclamation is that if 50 is lower than 60 which it is meaning that 78 is the correct answer if you multiply 18 + 34 that is not the right answer but there should be a right answer under this question you shouldn't trust me because I do not give a what the answer is I do not suggest you write down this answer but you do your top G
The maximum number of calling minutes you can use to keep your bill at $50 or lower is 110 minutes. If you use 110 minutes or less, your bill will not exceed $50.
To keep your bill at $50 or lower for the month, you need to set up an inequality using the cost function C(x):
C(x) = 40 + 0.20(x - 60)
Since you want to keep the cost at or below $50, the inequality is:
C(x) ≤ 50
Now, substitute the expression for C(x) into the inequality:
40 + 0.20(x - 60) ≤ 50
40 + 0.20x - 12 ≤ 50
0.20x + 28 ≤ 50
Now, isolate the term with "x" on one side by subtracting 28 from both sides:
0.20x ≤ 50 - 28
0.20x ≤ 22
Finally, divide both sides by 0.20 to solve for "x":
x ≤ 22 / 0.20
x ≤ 110
The maximum number of calling minutes you can use to keep your bill at $50 or lower is 110 minutes. If you use 110 minutes or less, your bill will not exceed $50.
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Find the equation (in slope-intercept form) of the line
slope: 85, ordered pair: (0,−43)
The equation in slope-intercept form is y = 85x - 43
How to determine the equation of the line?The given parameters are
Ordered pair, (x, y)= (0, -43)Slope, m = 85A linear equation is represented as
y = m(x - X) + Y
Where m is the slope
Substitute the known values in the above equation
So, we have the following equation
y = 85(x - 0) - 43
Evaluate
y = 85x - 43
Hence. the linear equation is y = 85x - 43
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HElp using trigonometry how do I solve this?
By using trignometry we got the side p as 6.67
Use the cosine rule of trignometry to find side p
p² = r² + q² - 2rqcosP
To find the angle of p we will simply subtract angle R and angle Q from 180.
180 - 47.28 - 40 = 92.72
p² = 8² + 7² + 2(8)(7)cos(92.72)
p² = 107.685
p = √107.685
p = 10.38
Let's suppose that the shortest distance of R from PQ is .
look at the diagram I gave
since the line I made makes a right angled triangle, we can use SOH CAH TOA
for the angle 40, is opposite and 10.38 is hypotenuse
which means we will have to use SOH
sin40 = O/H
sin40 =x /10.38
0.6428 = x/10.38
0.6428 × 10.38 = x
x = 6.67
Hence, by using trignometry we got the side p as 6.67
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Disclaimer,
The given question is incomplete, the answer is done based upon a similar question. The question is given in the image attached.
I really need help on this one I am confused and if someone could explain that would be great. also I am sorry the picture is flipped I couldn't turn it.
The hourly rate that the business owner should pay the employees to obtain the desired net income of $40,000 is of:
$17.
How to calculate the net income?The net income is calculated as the subtraction of the total income by the expenses.
In the context of this problem, the expenses are given as follows:
Building and equipment: $900 a month = $10800 a year.Hearse: $200 per month = $2400 per year.Lead car: $150 per month = $1800 per year.Insurance: $1500 per year.Licensing/Certification: $250.Three employees, each working 20 hours a week = 52 x 20 = 1040 hours a year.Hence the expression for the net income is given as follows:
110000 - [10800 + 2400 + 1800 + 1500 + 250 + 3(1040x)] = 40000
93250 - 3120x = 40000
3120x = 53250
x = 53250/3120
x = $17 an hour.
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3(20/3)/2-5 Como se resuelve este??? Ayuda
tire could roll 200 yards in 27.28 revolutions , what is the radius of the tire?
The radius of the tire is 1.17 yards.
According to the question,
We have the following information:
A tire could roll 200 yards in 27.28 revolutions.
We know that the tire is in the shape of a circle.
We also that the following formula is used to find the circumference of the circle:
2πr where r is the radius of the circle
Now, we have the following expression:
2πr*27.28 = 200
54.56πr = 200
r = 200/54.56π
r = 200/54.56*3.14
r = 200/171.32
r = 1.17 yards
(The unit of the radius will remain same as that of the distance given.)
Hence, the radius of the tire is 1.17 yards.
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It takes a word processor 30 minutes to word process and spell check 4 pages. Find how long it takes her to word process and spell check 22 pages.
It will take the word processor 165 minutes to check 22 pages
How to determine the time to check the pages?The given parameters in the question are:
Speed = 30 minuter per 4 pages
Number of pages = 22 pages
The number of hours to check the pages can be calculated using the following equation
Time = Speed * Number of pages
Substitute the known values in the above equation So, we have the following equation
Time = 30/4 * 22
There is no unit to convert
So, we have
Time = 30/4 * 22
Evaluate
Time = 165
Hence, the time is 165 minutes
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pls help ill give brainliest
Answer:
(- 12, 10 )
Step-by-step explanation:
2x + 4y = 16 → (1)
- 2x - 3y = - 6 → (2)
add (1) and (2) term by term to eliminate x
0 + y = 10
y = 10
substitute y = 10 into (1) and solve for x
2x + 4(10) = 16
2x + 40 = 16 ( subtract 40 from both sides )
2x = - 24 ( divide both sides by 2 )
x = - 12
solution is (- 12, 10 )
Answer:
(- 12, 10 )
Step-by-step explanation:
mark the person above me as brainliest
HI i need this questions answer as soon as possible WITH STEPS PLEASE
Answer:
210
Step-by-step explanation:
200 × (5% + 1)
=200 × (0.05 + 1)
=200 × 1.05
=210
yan po hope it helps
ron picked 7/10 bushels of apples ben picked 9/10 bushels of apples how many apples did they pick all together give your answer in lowest terms
This number line models the division problem 14÷5 .
What is the quotient?
Enter your answer as a fraction in simplest form by filling in the boxes.
$$
The simplest form of fraction (1/4)/5 is 1/20.
What is quotient?A quotient is the simplest or resultant value of division of two numbers. In two numbers, one number is dividend and another number is divisor,
quotient=dividend/divisor
The simplest form for fraction (1/4)/5,
(1/4)/5=1/(4×5)
= 1/20
So, the simplest form of (1/4)/5 is 1/20.
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