Answers
The equation that represents the graph will be y = - (2)ˣ + 3.
What is a function?A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.
The equation is given below.
y = A · (2)ˣ + k
At x = 0, the value of y is 2.
2 = A + k ...1
At x = 1, the value of y is 1.
1 = 2A + k ...2
Subtract equation 1 from equation 2, then we have
A = -1
Then the value of k is given as,
2 = -1 + k
k = 2 + 1
k = 3
The equation that represents the graph will be y = - (2)ˣ + 3.
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Related Questions
Explain how to do x+7>4
Answers
[tex]x > -3[/tex].
Step-by-step explanation:1. Write the expression.[tex]x+7 > 4[/tex]
2. Subtract 7 from both sides of the inequality.[tex]x+7-7 > 4-7\\ \\x > -3[/tex]
3. Express the final result.[tex]x > -3[/tex].
The current yield on stock invested in Lynx Corporation is 4.2%. The dividend last year was $3.25 per share. What was the selling price of the stock?
Answers
Answer:
Step-by-step explanation:
77.38$
F and H are sets of real numbers defined as follows.
F = { v l v < 4}
H = { v l v ≥ 7}
Write F ∩ H and F ∩ H using interval notation. If the set is empty, write ∅.
Answers
The final interval notation is F ∩ H = [7, 4] & F ∪ H = [-∞, ∞].
What is the interval notation?
A set of real numbers known as an interval in mathematics contains all real numbers falling inside any two of the set's numbers. For instance, the interval containing 0, 1, and all integers in between is the set of values x satisfying 0 x 1.
We have,
F and H are sets of real numbers defined as follows.
F = { v l v < 4}
H = { v l v ≥ 7}
F is the set of all real numbers that are less than or equal to 4. H is the set of real numbers greater than 7.
F U H is the union (or combination) of the two sets, so it is the set of all real numbers that are less than equal to 3 or greater than 6:
F ∩ H is the set of real numbers that are in both sets; but since F is less than or equal to 4 and H is greater than 7, there are no numbers that are in both sets. Hence the answer is the empty set, Ø:
F ∩ H = Ø
F ∩ H = [7, 4]
F ∪ H = [-∞, ∞]
Hence, the final interval notation is F ∩ H = [7, 4] & F ∪ H = [-∞, ∞].
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What’s the answer for this question
Answers
Answer: uf
Step-by-step explanation:
10 points! What is the greatest common factor of 32 and 40? * 1 point
2
4
8
16
I have to explain also!
Answers
Answer:
8
Step-by-step explanation:
Question:
What is the greatest common factor of 32 and 40?
Find the factors of 32 and 40:
The factors are all the numbers the we can divide 32 or 40 by, and the result will be a whole number. Example:32/1= 32, 32/2= 16, yet 32/3 = 10.6 not a whole number so 3 is not a factor of 32.
Factors of 32: 1, 2, 4, 8, 16, 32
Factors of 40: 1, 2, 4, 5, 8, 10, 20, 40
Find the greatest factor that is common for both 32 and 40 ( the GCF):
Factors of 32: 1, 2, 4, 8, 16, 32
Factors of 40: 1, 2, 4, 5, 8, 10, 20, 40
GCF is 8
All the gummy machines at a candy factory work at the same rate. Six machines working simultaneously can complete a big order in 22 hours. How many hours would it take to fill the order if the number of working machines decreased by a factor of 2 ?
Answers
It will take 88 hours to fill the order if the number of machines is; deceased by a factor of 4.
What is the fundamental principle of multiplication?Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.
Given that Six machines working simultaneously can complete a big order in 22 hours.
Since we are decreasing the number of machines by a factor of four and all the machines work at the same rate, then we simply going to increase the work hours by a factor of 4.
Therefore Increasing the work hours by a factor of 4 will
22 x 4 = 88 hours
Hence it will take 88 hours to fill the order if the number of machines is deceased by a factor of 4.
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Answer:
44
Step-by-step explanation:
guys lat asnwer was correct too but she just did 4 instead of 2 so just divided her answer by 2 which sums up to 44
8x - 3y = 12
-8x+3y=5.
Answers
Answer:
No solution
Step-by-step explanation:
Given :
8x - 3y = 12-8x + 3y = 5Because we have two variables that can cancel out, we can solve the system using elimination as we can easily add the two equations, cancel out one of the variables and solve for the other.
8x - 3y = 12
+ -8x + 3y = 5
-----------------------
0x + 0y = 17
Simplifying this we are left with 0 = 17
Because no variables can be defined there are no solutions to the equation.
PLEASE HELP ASAP. DUE IN A FEW MINS
Answers
5(k + 2)
(5 * k) + (5 * 2)
= 5k + 10
______________________________
8(4 - 1.2h)
(8 * 4) - (8 * 1.2h)
= 32 - 9.6h
______________________________
3(1 - 7m)
(3 * 1) - (3 * 7m)
= 3 - 21m
______________________________
(b + 9)(6)
(6 * b) + (6 * 9)
= 6b + 54
Which property will help to find these sums?
57/80+21/80 and 21/80+57/80
the Associative Property
the Commutative Property
the Identity Property
Answers
Answer:
Associative Property
Step-by-step explanation:
Associative Property is the ability to change the order of an equation, and get the same result.
For example:
(1 + 2) + 3 = 6
If you were to take this equation, and this equation:
3 + 2 + 1 = 6
These numbers are in a different order, but the answer is the same!
It goes the same way for your problem.
57/80 + 21/80 and 21/80 + 57/80.
Therefore, the property to help you would be Associative Property.
Jeremy has $15.20. He wants to give the money to 4 charities. If he gives the same amount to each charity, how much will each charity receive?
Answers
Problem Situation:
Eric is adding water to a 60-gallons pool.
The pool already has 12 gallons of water, and he wants to fill it to at least 27 gallons. The water flows at a rate of 6 gallons per minute.
How many minutes, x, will it take for Eric to fill the pool with at least 27 gallons of water?
Inequality that represents this situation:
27≤12+6x
To solve the inequality, you can begin by solving the equation as shown.
Drag a diagram to each row of the table to show which number line represents all of the solutions for the inequality and which number line represents all of the solutions for the problem situation.
Answers
The number line which represents all of the solutions for the problem situation is Number line A.
How to solve an inequality?Volume of the pool = 60-gallonsWater in the pool already = 12 gallonsWater left to fill the pool = 27 gallonsWater flow per minute = 6 gallonsNumber of minutes it takes to fill the pool = xThe inequality:
27 ≤ 12 + 6x
substract 12 from both sides
27 - 12 ≤ 6x
15 ≤ 6x
divide both sides by 6
x ≤ 15/6
x ≤ 2.5 minutes
Therefore, the given inequality has the solution x ≤ 2.5 minutes.
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What is the approximate value of 27)976?
Answers
Answer:
26352
Step-by-step explanation:
Answer: 36.1481481481. So approximately 36.1
Step-by-step explanation:
solve sin(2x)cos(6x) - cos(2x)sin(6x) = - 0.8 for the smallest positive solution
Answers
The smallest positive solution is 13.28⁰.
What is trigonometry?Trigonometry is a discipline of mathematics dealing with particular angle functions and their application to computations. In trigonometry, there are six functions of an angle that are often utilised. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their names.
Given,
sin (2x)cos(6x) - cos(2x)sin(6x) = - 0.8
Let, assume 2x = A and 6X= B
As we know, sin (A-B) = sin A cos B - cos A sin B
Putting the value of 2x and 6x in the given equation, we get
or, sin A cos B - cos A sin B = -0.8
or, sin (A-B) = -0.8
or, sin (2x-6x) = - 0.8
or, sin (-4x) = - 0.8
or, - sin 4x = - 0.8
or, sin 4x = 0.8
Apply sin on both side we get,
or, sin⁻¹ (sin 4x) = sin⁻¹ (0.8)
or, 4x = 53.13
or, x = 13.28⁰
The smallest positive solution is 13.28⁰.
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write a mixed number and a fraction greater than 1 for each point on the number line
Answers
Answer:
Step-by-step explanation:
508x8 = (500+ 8) × 8
(500x)+(8×______)
=. +64
=
Answers
508
Step-by-step explanation:
Graph the solution to this inequality on the number line.
−18≤−3p
Answers
The solution of the inequality expression −18≤−3p is p ≤ 6.
What is inequality?Inequality, A declaration of an order connection between two integers or algebraic expressions (greater than, greater than or equal to, less than, or less than or equal to).
Hence, to solve for −18≤−3p, let's make P the subject of the formula.
-3p ≥ -18
Using -3, divide both sides
⇒ -3p/-3 ≥ -18/ -3
Hence,
⇒ P ≤ 6
See the graph attached.
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Write out a paragraph explaining how to solve: 2x - 4 = 20
Answers
Answer: x=12
Step-by-step explanation:
first you add 4 to both side to make it 2x=24 then you divide both side by 2 to get 12 so x=12.
Answer:
Step-by-step explanation:
Firstly you want to get x alone on one side of the equation. So to do that you move 4 to the other side of the equation. When a number crosses the equal sign, the sign (+/-) switches. Hence 2x - 4 = 20 becomes 2x = 20 +4. Which gives you 2x = 24. Now you can solve for x.
2x is really 2 multiplied by x. The opposite of multiplication is division so to get rid of the 2 and get x alone on one side, you divide 24 by 2.
So the equation becomes x = 24/2 (24 divided by 2)
This gives you x = 12.
I hope this helped.
Would you rather........
have your boss pay
you $10,000 a day
for 3 full weeks
including weekends
or
start working with a savings
account with a quarter in it
and your boss double it each
day you work for 3 full weeks
7
the answer
1. Before working, discuss, make a guess and tell us why you'd rather. Be sure to state you reasons for your
choice.
2. Find out how much you would be making after working 7 days in both scenarios,
3. Find out how much you would be making after working 14 days in both scenarios.
S make sure you have
-a title
-your original choice
-an equation for both scenarios
-a graph
-a full table showing from the first day to the end of 3 weeks (day 21)
-picture and/or written explanations of your findings (what surprised you and how were they
ell us how much money you would be making in each scenario at 7 days and 14 days
Answers
1) I would choose option 2 because I will get more money.
What is a quarter ?
Any one of four identical or nearly identical portions of an item, quantity, amount, etc. Also known as one fourth. the number (1/4) is one divided by four.
I would choose option 2, and I did so because I believe that doubling the amount every day for three weeks will give me more money, even if it starts with a quarter, than option 1, which would give me a bonus of $10,000 and $10,000 per day for three weeks.
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A class measured the radius and circumference of various circular objects. Does there appear to be a proportional relationship between the radius and circumference of a circle explain or show ur reasoning.
Answers
The required given relationship between the radius and circumference of the circle is not a proportional relationship.
Given that,
A class measured the radius and circumference of various circular objects.
proportionality is defined as between two or more sets of values, and how these values are related to each other in the sense are they directly proportional or inversely proportional to each other.
here
For the proportional relationship,
the ratio of y / x should be equal but,
18 / 3 ≠ 25/4
Which implies that the relationship is not proportional.
Thus, the required given relationship of the radius and circumference of the circle is not a proportional relationship.
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Solve. −6 1/4x=−3 1/8 What is the solution to the equation? Enter your answer as a simplified fraction in the box.
solve for x NEED ANSWER NOW PLSSSSSSSSSSSSSSS HEEEEEEEEEELPP
Answers
The given equation, -6 1/4x = -3 1/8, solved for is x = 1/2
Solving Linear EquationsFrom the question, we are to solve the given linear equation.
The given linear equation is
-6 1/4x = -3 1/8
To solve the equation,
First, we will convert the fractions to improper fractions
-6 1/4x = -3 1/8
-25/4x = -25/8
Multiply both sides of the equation by -4/25
-4/25 × -25/4x = -4/25 × -25/8
x = 1/2
Hence, the value of x is x = 1/2
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21. Select the code that should come next in the sequence below.
the sequence question F2, E4, D8, C16
the answer choose the correct answer carefully
A. B24
B. A24
C. B28
D.B32
Answers
Answer:
Step-by-step explanation:
F,E,D,C,B
2,4,8,16,32
B32
A. The result is a repeated number.
The event is { }
(Use a comma to separate answers as needed. Type an ordered pair.)
The probability is [ ]
(Type an integer or a simplified fraction.)
B. The second number is 9 or 11.
The event is { }
(Use a comma to separate answers as needed. Type an ordered pair.)
The probability is [ ]
(Type an integer or a simplified fraction.)
C. The first number is even and the second number is odd.
The event is { }
(Use a comma to separate answers as needed. Type an ordered pair.)
The probability is [ ]
(Type an integer or a simplified fraction.)
Answers
Answer:
Answer:
A. The event is (2,2), (4,4), (6,6), (8,8), (10,10), (12,12) and the probability is 1/6.
B. The event is (2,9), (2,11), (4,9), (4,11), (6,9), (6,11), (8,9), (8,11), (10,9), (10,11), (12,9), (12,11) and the probability is 2/6.
C. The event is (2,9), (2,11), (4,9), (4,11), (6,11), (8,9), (8,11), (10,9), (10,11), (12,9), (12,11) and the probability is 5/6.
toooooooooooo ezzzzzzzzzzyyyty
Step-by-step explanation:
An item is regularly priced at $ 37 . It is now priced at a discount of 95% off the regular price.
Answers
The discounted price of the item is $1.85.
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
Given, An item is regularly priced at $37.
It is now priced at a discount of 95% off the regular price.
∴ The discounted price of the item is {(100 - 95)/100}×37.
= (5/100)×37.
= $1.85.
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The manufacturer's suggested retail price (MSRP) for a particular car is $25020, and it is expected to be worth $14212 in 4 years.
a) Find a linear depreciation function for this car.
(b) Estimate the value of the car 5 years from now.
(c) At what rate is the car depreciating?
Answers
The linear depreciation function is: Depreciation = [tex]\frac{Cost-scrap value}{Estimated life span}[/tex], (b) the value after five years is $11510 and (c) rate of depreciation is 11%
How to calculate depreciation?We should know that depreciation is a loss on a fixed asset over the accounting period that benefited from it.
The given parameters are
Cost of the asset (MSRP)= $25020
Scrap value = $14212
Estimated life span = 4 years
a. Applying the depreciation model
Deprecation = [tex]\frac{Cost of asset - scrap value}{estimated life span}[/tex]
Depreciation = [tex]\frac{25020-14212}{4}[/tex]
depreciation = 10808/4
Dep. = $2702
(b) Note that the accumulated depreciation after 5 years is 2702*5
=$13510
The value of the car after 5 years is $(25020-13510)
=$11510
(c) The rate of depreciation is determined by the model
% dep. = 1-[tex]\sqrt[n]{\frac{s}{c} }[/tex]
where n= number of years
s=scrap value
c cost of the asset
Applying the formular we have
% dep - 1-[tex]\sqrt[5]{\frac{14212}{25020} } = 1-\sqrt[5]{0.5680}[/tex]
% dep= 1-0.89
=0.11*100
=11%
In conclusion, the linear depreciation function is (Cost - Scrap value)÷Number of years, the value of the car 5 years from now is $11510 and the rate of depreciation is 11%
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Given a bag of 20 m&m's with 5 red, 4 blue, 2 green, 4 brown and rest are yellow. What is the probability of pulling a green one and then, without replacing it, pulling a blue? Answer in decimal form
Answers
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
The probability of pulling a green one and then, without replacing it, pulling a blue one is 0.021.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
We have,
Total number of balls = 20
Red = 5
Blue = 4
Green = 2
Brown = 4
Yellow = 5
The probability of pulling a green one.
= 2/20
= 1/10
Number of balls remaining = 20 - 1 = 19
The probability of pulling a blue without replacing the first green one.
= Number of blue balls / Total number of remaining balls
= 4/19
Now,
The probability of pulling a green one and then, without replacing it, pulling a blue one.
= 1/10 x 4/19
= 4/190
= 2/95
= 0.021
Thus,
The probability of pulling a green one and then, without replacing it, pulling a blue one is 0.021.
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What change should Jazmin make in sentence 11?
Answers
Lexi is creating beaded jewelry to give to her family and friends. For her family, she assembled 5 bracelets and 9 necklaces, using a total of 922 beads. For her friends, she assembled 9 bracelets and 5 necklaces, using a total of 786 beads. Assuming she uses a consistent number of beads for every bracelet and necklace, how many beads is she using for each?
Answers
The number of Lexi is using for every bracelet and necklace include the following:
For her bracelet =329
For her necklace= 593
What is addition?Addition is defined as one of the arithmetic parameters that can be used to combine various data together to arrive at a particular value.
For the family,
bracelet = 5
necklace = 9
Total jewelry made = 14
total number of beads used = 922 beads
The number of beads used for bracelet;
= 5/14×922
= 4610/14
= 329
The number of beads used for necklace;
= 9/14× 922
= 8298/14
=593
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4) Expand and simplify
5(x-3) - 3 (x + 5)
Answers
Answer:
2x-30
Step-by-step explanation:
5(x-3) = 5x-15
-3(x+5) -3x-15
(5x-15) + (-3x-15) = 2x-30
What is 18 1/2 + 6.6 ?
Answers
Answer:
25.1 i think
Step-by-step explanation:
Answer:
25.1
Step-by-step explanation:
Conversion a mixed number 18 1/2 to an improper fraction: 18 1/2 = 18 1/
2= 18 · 2 + 1/2= 36 + 1/2 = 37/2 2. a) Multiply the whole number 18 by the denominator 2. Whole number 18 equally 18 * 2/2 = 36/2 Conversion a decimal number to a fraction: 6.6 = 66/10 = 33/5
NEED ANSWERS ASAP!! PLEASE HURRY I HAVE 20 MINUTES!!
Answers
Answer:
a. -6
b. 11.3
Step-by-step explanation:
Answer: a. -6 b. 11.3
Step-by-step explanation:
[tex]\displaystyle\\a.\\2((-3)^2+\frac{3}{2})+(-3)^3=\\\\2(9+1.5)+(-27)=\\\\2(10.5)-27=\\\\21-27=\\\\-6\\\\b.\\(-4)^2+\frac{15.7-3(2.1)}{-2} =\\16+\frac{15.7-6.3}{-2} =\\\\16+\frac{9.4}{-2} =\\\\16+(-4.7)=\\\\16-4.7=\\\\11.3[/tex]