Answer:
A
Step-by-step explanation:
Because subtraction and addition are alike just how multiplication and division are.
The inverse of f(x) is (x+6)/5, the correct option is A
What is inverse of a function?Suppose that the given function is
[tex]f:X\rightarrow Y[/tex]
Then, if function 'f' is one-to-one and onto function (a needed condition for inverses to exist), then, the inverse of the considered function is
[tex]f^{-1}: Y \rightarrow X[/tex]
such that:
[tex]\forall \: x \in X : f(x) \in Y, \exists \: y \in Y : f^{-1}(y) \in X[/tex]
It simply means, inverse of 'f' is undo operator, that takes back the effect of 'f'
Given;
f(x) = 5x - 6
f^-1 (x ) = x+6/5
Let, y = f(x) and rearrange making x the subject;
y = 5x - 6 ( add 6 to both sides )
y + 6 = 5x ( divide both sides by 5 )
x = (y+6)/5
Change y back into terms of x
x = (x+6)/5
Therefore, the answer in inverse will be (x+6)/5
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If Jason makes $12 an hour on his new job, how many hours must he work to make the money to afford to buy some shoes that cost $160 at
the local store?
Answer:
14 hours
Step-by-step explanation:
Jason get 12 dollars and hour so if you do 12×14 you get 168. the awnser wouldn't be 13 because 12×13 equals 157 which isn't enough.
hope this helps
please help meeee T^T
Solve 14 -3x= 23
Answer: x = 3
Step-by-step explanation:
First you minus 23 by 14 then you get 9. Then you divide it by 3
PLEASE PLEASE PLEASE HELP ME Which of these lines has a slope of -3?
The equation of the line showing the slope of -3 is represented by the fourth graph in the image. The correct option is D.
What is a slope?Slope or the gradient is the number or the ratio which determines the direction or the steepness of the line.
The line is passing through the points ( 0,0) and (1,-3). The slope of the line is calculated by using the formula below:-
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Slope = ( -3 -0 ) / ( 1 - 0 )
Slope = -3
Therefore, the equation of the line showing the slope of -3 is represented by the fourth graph in the image. The correct option is D.
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What is the remainder when you divide
(2x^3– 5x – 7) by (x + 2) ?
Answer:
this is the remainder.
How do you find the equivalent ratios
Answer:
by multiplying or dividing
Step-by-step explanation:
Two ratios that have the same value are called equivalent ratios. To find an equivalent ratio, multiply or divide both quantities by the same number. It is the same process as finding equivalent fractions.
Suppose you work in the quality assurance department of a chemical processing plant and it is your responsibility to ascertain whether the viscosity of a certain chemical remains within a prescribed limit. To that end you measure fluid samples using a viscometer. a. The viscosities of a sample of 10 fluids processed during the day shift were measured to have the following results (Pa.s): 71, 45, 54, 75, 50, 49, 63, 55, 48, 50. Determine the range within which the true mean of the fluid samples from the day shift will be with a 95% confidence.
Answer:
48.668 ≤ μ ≤ 63.332
Step-by-step explanation:
Given the data:
Sample (X) : 71, 45, 54, 75, 50, 49, 63, 55, 48, 50
Number of samples (n) = 10
α = 95% = 0.05
Determine the range within which the true mean of the fluid samples from the day shift will be with a 95% confidence
True mean = μ
Confidence interval :
m ± t(α/2 ; df) * s/√n
m - t(α/2 ; df) * s/√n ≤ μ ≤ m + t(α/2 ; df) * s/√n
m = sample mean ; s = sample standard deviation ; df = degree of freedom =(n - 1) = (10 - 1) = 9
Calculating the sample mean and standard deviation using calculator to save computation time :
71, 45, 54, 75, 50, 49, 63, 55, 48, 50
m = 56 ; s = 10.25
m - t(0.05/2 ; 9) * s/√n ≤ μ ≤ m + t(0.05/2 ; df) * s/√n
From t table : t(0.05/2 ; 9) = t(0.025, 9) = 2.262
56-2.262 * (10.25/√10) ≤ μ ≤ 56+2.262 * (10.25/√10)
48.668 ≤ μ ≤ 63.332
help me out with this question
Answer:
c
Step-by-step explanation:
combine like terms
3x^3-8x^3=-5x^3
+2x^2
-5x+3x=-2x
-5x^3+2x^2-2x
one-fith of the students at finley high school play sports. two-thirds of the students who play sports are girls
Answer:
2/15
Step-by-step explanation:
1/5 x 2/3 = 2/15
The lengths of a professor's classes has a continuous uniform distribution between 49.2 min and 55.5 min. One class is randomly selected. If P(x > c) = 0.488 , find c
Answer:
52.4 min
Step-by-step explanation:
100% of the times are between 49.2 min and 55.5 min.
48.8% of the times are between x and 55.5 min.
Write a proportion:
(55.5 − 49.2) / 1 = (55.5 − x) / 0.488
0.488 (55.5 − 49.2) = 55.5 − x
3.0744 = 55.5 − x
x = 52.4256
Rounded to the tenths place, the time is 52.4 min.
9. (04.03 LC)
Given a polynomial f(x), if (x - 2) is a factor, what else must be true?
f(0) = -2
f(-2) = 0
f(2) = 0
f(0) = 2
show work pls
Answer:
f(2)=0. The third option is correct.
Step-by-step explanation:
Suppose we have a polynomial called f(x) and we know (x-2) is a factor of f. This means that we can express f(x) as:
f(x)=(x-2)\cdot g(x)
Being g(x) another unknown function.
Option 1: f(0)=(0-2)\cdot g(0)=-2\cdot g(0). Since we don't know the value of g(0), we cannot assure f(0)=-2. Incorrect
Option 2: f(-2)=(-2-2)\cdot g(-2)=-4\cdot g(-2). Since we don't know the value of g(-2), we cannot assure f(-2)=0. Incorrect
Option 3: f(2)=(2-2)\cdot g(2)=0\cdot g(0)=0. Regardless of the value of g(0), f(0) must be 0. Correct
Option 4: f(0)=(0-2)\cdot g(0)=-2\cdot g(0). Since we don't know the value of g(0), we cannot assure f(0)=2. Incorrect
Is the answer True or false
Answer:
true
Step-by-step explanation:
true
2ℓ + 2w for ℓ = 5.7 and w = 6.2.
Answer:
6.2
Step-by-step explanation:
Answer:
The answer to this problem is 6.2
Step-by-step explanation:
The Algebraic expression is a 2ℓ+2w for ℓ= 5.7 and w = 6.2
Mr. Frankel bought 5 tickets to a puppet show and spent $26. He bought a combination of child tickets for $2 and adult tickets for $10 each. Write a system of equations to determine the number of adult tickets, a, and the number of child tickets, c, he bought. Solve the system. *Show both the equations and solutions
Answer:
3 child tickets and 2 adult tickets
Step-by-step explanation:
5t = 26
2c + 10a = 26
c = 3 a = 2
(2 * 3) + (10 * 2) = 26
6 + 20 = 26
The equations are c + a = 5 and 2c + 10a = 26. Then the number of children and adults will be 2 and 3, respectively.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
Mr. Frankel bought 5 tickets to a puppet show and spent $26. He bought a combination of child tickets for $2 and adult tickets for $10 each.
Let 'c' be the number of children and 'a' be the number of adults. Then we have
a + c = 5 ...1
2c + 10a = 26 ...2
From equations 1 and 2, then we have
2(5 - a) + 10a = 26
10 - 2a + 10a = 26
8a = 16
a = 2
Then the value of the variable 'c' is calculated as,
2 + c = 5
c = 3
The equations are c + a = 5 and 2c + 10a = 26. Then the number of children and adults will be 2 and 3, respectively.
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find the value of each missing variable.
Answer:
The value of x is 17 and that of y is 8.
Answer:
x=17 y=8
Step-by-step explanation:
Student Council is selling Shark Shirts. Each shirt costs $8 and it costs $4 to put a shark on the front and it costs $3 to put your name on the back. If Student Council sells the shirts for $18, how much profit will they make per shirt?
Answer:
$33
Step-by-step explanation:
because iring gigapos
QUESTION 7
If license plates in Idaho have 4 numbers followed by 2 letters, how many different plates can be made?
a. 6,760,000
O b. 676
O c. 260
O d. 17,576,000
The number of different license plates that can be made in Idaho with 4 numbers followed by 2 letters is 6,760,000, option a is correct.
To determine the number of different license plates that can be made in Idaho with 4 numbers followed by 2 letters, we need to consider the possibilities for each element.
For the numbers, we have 10 options (0-9) for each of the four positions, resulting in a total of [tex]10^4 = 10,000[/tex] combinations.
For the letters, we have 26 options (A-Z) for each of the two positions, resulting in a total of [tex]26^2 = 676[/tex] combinations.
To find the total number of different plates, we multiply the number of possibilities for each element:
[tex]10,000 \times 676 = 6,760,000[/tex].
Hence, option a is correct.
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What’s the answer to this
Determine the equation that best represents the line shown on the graph.
Answer:
B
Step-by-step explanation:
Its right
A relative-frequency distribution is to a variable as a __________ distribution is to a random variable.
Answer:
Probability distributionStep-by-step explanation:
The answer is probability distribution
What is probability distribution?
Probability distribution is a function used to express all the range of random variables and the chances or possibilities of their occurrence.
Basically the function assigns probabilities to some sets of values.
Also There are three major types of probabilities:
Theoretical Probability.
Experimental Probability.
Axiomatic Probability.
A relative-frequency distribution is to a variable as a Probability distribution is to a random variable.
Probability is a type of mathematics which deals with numerical descriptions of how likely an event would occur, or how likely it is that a the occurrence would be true.
The probability of an event is usually between 0 and 1, where 0 represent impossibility and 1 represents the chance of it occurring.
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5. Rebecca is 6 years older than three times Andrew's age. The sum of their ages is 18. How old is Rebecca?
Answer:
Rebecca is 18
Step-by-step explanation:
18/6-3=0
What is the volume of a block 6 cm on all sides?
Answer:
3
Step-by-step explanation:
its right
Answer:
The volume is 226 cm
Step-by-step explanation:
To calculate volume, you must do "length X width X height"
What is the image point of (4,-7) after a translation of right 4 units and up 5 points
Answer:
(8,2)
Step-by-step explanation:
30 g of pineapple are added to drink the drink rises 5 ml what is the density of the pineapple
Answer:
6g/mL
Step-by-step explanation:
Given parameters:
Mass of pineapple = 30g
Volume of rise = 5mL
Unknown:
Density of pineapple = ?
Solution:
Density of a substance is the mass per unit volume. Mathematically, it is expressed as;
Density = [tex]\frac{mass}{volume}[/tex]
The volume is the rise in the pineapple drink.
Insert the parameters and solve;
Density = [tex]\frac{30}{5}[/tex]
Density = 6g/mL
HELP HELP HELP What is the slope of the line that passes through the points (-3,-2) and (1,3)
Answer:
5/4
Step-by-step explanation:
Use rise over run, which is (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are points on the line
Plug in the points:
(y2 - y1) / (x2 - x1)
(3 + 2) / (1 + 3)
= 5/4
So, the slope is 5/4
Francesca plans to compete in a biathlon that involves running and cycling. During one training session, she covered a total distance of 46 miles in four hours. If she ran at a rate of 5 mph and cycled at a rate of 15 mph, how long did she spend cycling?
Answer:
.
Step-by-step explanation:
Use the distance formula
d = vt
where:
d = distance (miles)
v = speed (mph)
t = time (hours)
Let x = run time
Let y = bike time
Total time: x + y = 4
Using these variables we can write an equation representing the formula.
dTotal = drun + dbike
49 = 9x + 22y
Next, we get the equation in terms of only x or y. We'll get it in terms of x.
49 = 9x +22(4 - x)
49 = 9x + 88 - 22x
-39 = -13x
3 = x
Plug in this value of x into the variables to find the distance for each part.
run distance = 9x
bike distance = 22(4 - x)
write a verbal sentence to represent 3n-35=79
Answer: three n minus thirty-five equals seventy-nine
Step-by-step explanation:
madeleine can tyep 3 pages in 1 hour how many hours whill it take her to tyep a 123-page report
Answer:
41 Hours
Step-by-step explanation:
Step 1 - 123 ÷ 3 = 41
Step 2 - 41 • 1 = 41 Hours
Answer:
41
Step-by-step explanation:
3 = 1
123 =
Cross multiple
123×1 /3
= 41
Amber invest $1,000 for 10 years compounded daily. Jin invests $1,000 for 10 years compounded continuously. If both investments are made at 8% interest rates, determine each of the following. Amber has a total of $ after 10 years. Jin has a total of $ after 10 years. So earns $ more interest.
Compound interest is the interest that is compounded daily, weekly, monthly, annually e.t.c on a loan, investment, or an amount of money kept in a financial institution.
Amber has a total of $2,225.35 after 10 years. Jin has a total of $ 2,225.54 after 10 years. So earns Jin $0.19 more interest.
For Amber:The formula to find the amount compounded daily after 10 years is:
A = P(1 + r/n)nt
Where
P = Principal ( Initial amount) = $1000
R = Interest rate = 8%
n = Number of times interest is compounded = Daily = 365 days
t = Time in years = 10 years
First, convert R as a percent to r as a decimal
r = R/100
r = 8/100
r = 0.08 rate per year,
Then solve the equation for A
A = P(1 + r/n)^nt
A = 1,000.00(1 + 0.08/365)^(365x10)
A = 1,000.00(1 + 0.000219178)^(3650)
A = $2,225.35
The interest for Amber is:
P (principal) = $1,000.00
A( Amount) = $2,225.35
I (interest) = P - A
= $$2,225.35 - $1,000.00
= $1,225.35
For JinThe formula to find the amount compounded continuously after 10 years is:
A = Pe^rt
Where
P = Principal ( Initial amount) = $1000
R = Interest rate = 8%
n = Number of times interest is compounded = Continuously
t = Time in years = 10 years
First, convert R as a percent to r as a decimal
r = R/100
r = 8/100
r = 0.08 rate per year,
Then solve the equation for A
A = Pe^rt
A = 1,000.00(2.71828)^(0.08)(10)
A = $2,225.54
The interest for Jin is:
P (principal) = $1,000.00
A( Amount) = $2,225.54
I (interest) = P - A
= $$2,225.54 - $1,000.00
= $1,225.54
Comparing the interest for both Amber and Jin, we find the difference to know who earns more.
Jin's interest - Amber's interest
= $1,225.54 - $1,225.35
= $0.19
Jin earns more interest.
Therefore, Amber has a total of $2,225.35 after 10 years. Jin has a total of $ 2,225.54 after 10 years. So earns Jin $0.19 more interest.
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the histogram to the right displays the height of 122 trees and Mr. Maciag's subdivision. He is very excited about autumn and the leaves changing colors. Height ranged between 108 cm and 345 cm. Let the function "f" map a tree height to the frequency of the column that tree belongs to. What is the value of f(250)? Explain the steps you followed to find the value.
Answer: 50
Step-by-step explanation:
f(250) = ?
Is asking, "What is the frequency (number of trees) that have a height of 250"
Look at the graph to see that when x = 250 (height), y = 50 (trees).
Therefore, f(250) = 50
Saige bought a slice of pizza for $2.75 and a side salad for $ 3.15.
How much did Saige spend on her lunch?
$ 0.50
$6.00
$5.90
$6.10
$2.75 + $3.15 = $5.90
C. $5.90
