Answers
Answer:
Choice C
Step-by-step explanation:
We are given the function:
[tex]\displaystyle \large{f(x)=3x+5}[/tex]
Let [tex]\displaystyle \large{y=f(x)}[/tex] therefore:
[tex]\displaystyle \large{y=3x+5}[/tex]
To find an inverse of function, swap the position of x and y:
[tex]\displaystyle \large{x=3y+5}[/tex]
Then solve or simplify the equation in term of y:
[tex]\displaystyle \large{x-5=3y}\\\displaystyle \large{\frac{x-5}{3}=y}\\\displaystyle \large{y=\frac{1}{3}x-\frac{5}{3}}[/tex]
Therefore, the answer is choice C.
__________________________________________________________
Summary
An inverse function is a function that swaps the position of domain and range, defined as notation [tex]\displaystyle \large{f^{-1}(x)}[/tex] or [tex]\displaystyle \large{y^{-1}}[/tex] generally. When finding an inverse function, make sure to swap position of range and domain, if given the interval.
Only one-to-one functions may have an inverse — multiple-to-one can not have an inverse such as quadratic function or any even-degree polynomial functions.
__________________________________________________________
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Related Questions
Please help me with my math
Answers
—————
cos (3x)
tHanks again for the response.
Answers
Answer:
(-3,-2)
Step-by-step explanation:
Equations are
y=2x+4y=-x-5Solve both
2x+4=-x-53x=-9x=-3On solving
y=3-5=-2Graph is also attached if you need another way
Answer:
(-3, -2)
Step-by-step explanation:
When the two lines intersect, f(x) = h(x)
2x + 4 = -1x - 5
Rearranging like terms together
3x = -9
x = -3
Substituting back into h(x) for x = -3
y = h(3) = 2(-3) + 4 = -2
So the point is (-3, -2)
7th grade math help me please :).
Answers
Answer:
a
Step-by-step explanation:
divide each price by the number of juice packs they got, then subtract the smaller number from the larger one. you get 0.15
An electrician charges a $100 flat fee, plus $75 per hour to work on a house.
a. Complete the table that shows the cost of hiring the electrician for 3 hours.
Hours, t Cost (dollars)
1
2
3
b. An expression for the cost (in dollars) of hiring the electrician for t hours is
.
c. It costs $
to hire the electrician for 5 hours.
Answers
Answer:
a. 1. 175
2. 250
3. 325
b. 75t + 100
c. 75(5)+100 = $475
Step-by-step explanation:
numbers that has 10 as a factor
Answers
Answer:
1, 2, 5 & 10
Step-by-step explanation:
Aling Luz bought yards of linen cloth which cost Php 72.00 per
yard, She gave Php 1 000,00 to the cashier. How much change will she
8
Answers
Answer:
Php 973.00
Step-by-step explanation:
Aling Luz bought 3/8 yards of linen cloth which cost Php 72.00 per yard.She gave Php 1000.00 to the cashier.How much change will she?
Number of yards bought = 3/8
Cost of a yard = Phone 72.00
Cost of number of yards bought = Number of yards bought × Cost of a yard
= 3/8 × Php 72.00
= Php 27.00
She gave Php 1000.00 to the cashier.
How much change will she?
= Amount given to the cashier - cost of yards bought
= Php 1000.00 - Php 27.00
= Php 973.00
3x+21 6x-60 write an equation to solve for x you're only writing the equation for this problem. see what i mean and yes 27 is right for the next ty so much
Answers
Step-by-step explanation:
3x+21 6x-60
=3x+6x 21-60
=18x 81
d.b.s by 18
18/18×81/18
0/1×4.7/1
x=4.7
I thinkthat the answer
I'm more sophisticated than my little sister so I save my money in a bank account that pays me
3% interest on the money in the account at the end of each month. (If I take my money out
before the end of the month, I don't earn any interest for the month.) I started the account with
$50 that I got for my birthday. Use a table, a graph, and an equation to create a mathematical
model of the amount of money I will have in the account after m months.
Answers
Answer:
F(m)=50*1.03^m
Step-by-step explanation:
Rewrite each equation without absolute value for the given conditions. y = |x−3| + |x+2| − |x−5| if x>5
Answers
Using the definition of the absolute value function, it is found that the equation is written as: y = x + 4
What is the definition of the absolute value function?It is the distance of a given point x to the origin(vertex of the function), hence the definition is as follows:
[tex]|x - a| = x - a, x \geq a[/tex]
[tex]|x - a| = -x + a, x < a[/tex]
Hence, considering that all expression are positive for x > 5, we have that:
|x - 3| = x - 3;|x + 2| = x + 2;|x - 5| = x - 5;Then, the expression is:
y = |x−3| + |x+2| − |x−5|
y = x - 3 + x + 2 - x + 5
y = x + 4
More can be learned about the absolute value function at https://brainly.com/question/24734454
WHICH DOT PLOT BEST REPRESENT THESE DATA?
Answers
Mrs. Kwan will teach 8 workshops next week. Each workshop is 2 hours long. Mrs. Kwan tries to tell a joke ever 1/3. How many times will she tell a joke by the end of the last workshop?
Answers
Assuming you meant every 1/3 hour, she will tell 48 jokes
1/3 hr = 20 mins
16 hrs = 960 mins
960/20= 48 jokes
You could also take 16 hrs and the 3 from 1/3, 16*3=48
Much faster method i forgot until just now..
A cabin on a ferris wheel has traveled one fourth of the circumference
of the wheel, a distance of 117.75 feet. What is the radius, in feet, of
the ferris wheel? Use 3.14 for pi
Answers
Solving for the circumference and using the formula for the circumference we got the radius as 74.95 feet
Mensuration of Flat ShapesGiven Data
1/4 of the circumference = 117.75 feet.
Let the circumference be x feet
1/4*x = 117.75
x/4 = 117.75
cross multiplying
x = 4*117.75
x = 471 feets
The expression for the circumference is given as
C = 2πr
471 = 2πr
Making r subject of formula we have
r = = 471/2*3.142
r = 471/6.284
r = 74.95 feet
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What is the congruence correspondence
Answers
Which expression is equivalent to 5(h+9)?
45h
0 14h
5h+9
5h+45
Answers
Step-by-step explanation:
5(h + 9) = 5×h + 5×9 = 5h + 45
Answer: 5h+9!
Step-by-step explanation: hope this helps!! -marina mae :)
Help please!
Area of a triangle using trigonometry!
Answers
Answer: 120
Step-by-step explanation: u just multiply the 2 numbers together
The table shows how many miles Sally drove, y, in x hours. What is the constant rate of change in the number of miles Sally drove?
Answers
Answer:
(X)73.2miles=the change in the constant rate of miles.
the number of miles times 73.2 equals the constant change of miles.
At the U.S. Open Tennis Championship a statistician keeps track of every serve that a player hits during the tournament. The statistician reported that the mean serve speed of a particular player was 100 miles per hourâ (mph) and the standard deviation of the serve speeds was 13 mph. If nothing is known about the shape of theâ distribution, give an interval that will contain the speeds of at least eight-ninths of theâ player's serves.
a. 74 mph to 126 mph
b. 61 mph to 139 mph
c. 48 mph to 152 mph
d. 139 mph to 178 mph
Answers
Answer:
b. 61 mph to 139 mph
Step-by-step explanation:
Chebyshev's theorem states that
For k> 1
1 - 1/k²
Where:
At least 75% or 3/4 of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ.
At least 88.89% of 8/9 of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ.
From the question, we are told to find an interval that will contain the speeds of at least eight-ninths of the player's serves.
Mean (μ)= 100mph
Standard deviation (σ) = 13mph
At least 88.89% of 8/9 of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ.
Hence:
μ - 3σ
100 - 3(13)
= 100 - 39
= 61 mph
μ + 3σ
= 100 + 3(13)
= 100 + 39
= 139 mph
Therefore, the interval is between 61 mph to 139 mph. Option b is correct
-
Consider f(x) = 7x3 - 15x2 - 19x +3. Find the solutions of each of the following equations!
(a) f(x) = 0
(b) f(x-1)= 0
(c) f(x + 2) = 0
(d) f(2x)= 0
Answers
Which symbol can be used to correctly compare the two fractionsPlease help asap!!!
Use >, <, or =.
2/5 35/100
Answers
Answer:
The symbol we can be used is " > "
Step-by-step explanation:
To compare two fractions you must make their denominator equal
Example:
To compare the fractions [tex]\frac{3}{4}[/tex] and [tex]\frac{7}{50}[/tex] ,
You should make their denominators equal. Multiply 4 by 25 to get 100 and multiply 50 by 2 to get 100, So, [tex]\frac{3*25}{4*25}=\frac{75}{100}[/tex] and [tex]\frac{7*2}{50*2}=\frac{14}{100}[/tex]. Since 75 > 14, then [tex]\frac{75}{100}>\frac{14}{100}[/tex] ,Which means [tex]\frac{3}{4}>\frac{7}{50}[/tex]Let us solve the question
∵ The fractions are [tex]\frac{2}{5}[/tex] and [tex]\frac{35}{100}[/tex]
→ Change denominator 5 to 100 by multiplying it by 20
∵ [tex]\frac{2}{5} =\frac{2*20}{5*20}=\frac{40}{100}[/tex]
∵ 40 > 35
∴ [tex]\frac{40}{100}>\frac{35}{100}[/tex]
∴ [tex]\frac{2}{5}>\frac{35}{100}[/tex]
∴ The symbol we can be used is " > "
Explain how the shapes shown have been sorted. Two groups of shapes. In group A, one shape has four equal side lengths of three, and no right angles. The opposite sides are parallel. Two shapes have two pairs of opposite equal side lengths. One shape has side lengths of four and eight. The other side lengths are three and two. Opposite sides are parallel, and there are no right angles. In group B there are three four sided shapes. One has opposite equal side lengths of seven and four and four right angles. One shape has four equal side lengths of three and four right angles. One shape has one set of opposite parallel sides and one right angle. None of the side lengths in the last shape are equal.
Answers
There are different kinds of shapes. The shapes have been sorted below:
The shape that has one shape has four equal side lengths of three, and no right angles is rhombus.The opposite sides are parallel is parallelogram .Two shapes have two pairs of opposite equal side lengths is a parallelogram.A shape that has side lengths of four and eight is quadrilateral and octagon.Opposite sides are parallel, and there are no right angles is a parallelogramHeptagon has opposite equal side lengths of seven Quadrilaterals and triangle shape has shape has four equal side lengths of three and four right angles.Trapezoids has one set of opposite parallel sides and the shape that has one right angle is right-angled triangles.None of the side lengths in the last shape are equal is scalene triangle. What do you understand by the term shapes?The term shape is a word that connote the form or dimensions of an object and also their outline.
It is made up of outer boundary and also outer surface. Most of everything in the world today do have shape.
Learn more about Angles from
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Answer:
rectangle
Step-by-step explanation:
trust
In a classroom libray Mrs. Sterling has 16 mystery books, 4 fantasy, 4 biographies, 4 poetry books, 2 comic books, and 2 cookbooks. A book is selected from the classroom library at random. What is the probability that the book is a mystery book?
Answers
Such probability is calculated by dividing the number of mystery books by a total number of books:
--> [tex]\frac{16}{32} = \frac{1}{2}[/tex]
Thus the probability that the book is a mystery book is 1/2.
Hope it helps!
One basketball team played 30 games throughout their entire season. If this team won 80% of those games, how many games did they win? Enter a numerical answer only.
Answers
How do you these questions?
Answers
Answer:
a) s = 2a sinh(b/a)
b) 18 feet
Step-by-step explanation:
The arc length is:
s = ∫ √(1 + (dy/dx)²) dx
y = a cosh(x/a)
y = ½ a (e^(x/a) + e^(-x/a))
dy/dx = ½ a (1/a e^(x/a) − 1/a e^(-x/a))
dy/dx = ½ (e^(x/a) − e^(-x/a))
(dy/dx)² = ¼ (e^(2x/a) − 2 + e^(-2x/a))
Plugging in:
s = ∫ √(1 + ¼ (e^(2x/a) − 2 + e^(-2x/a))) dx
s = ∫ ½ √(4 + e^(2x/a) − 2 + e^(-2x/a)) dx
s = ∫ ½ √(e^(2x/a) + 2 + e^(-2x/a)) dx
s = ∫ ½ √(e^(x/a) + e^(-x/a))² dx
s = ∫ ½ (e^(x/a) + e^(-x/a)) dx
s = ½ (a e^(x/a) − a e^(-x/a))
s = ½ a (e^(x/a) − e^(-x/a))
Evaluate from x=-b to x=b:
s = ½ a (e^(b/a) − e^(-b/a)) − ½ a (e^(-b/a) − e^(b/a))
s = ½ a e^(b/a) − ½ a e^(-b/a) − ½ a e^(-b/a) + ½ a e^(b/a)
s = a e^(b/a) − a e^(-b/a)
s = a (e^(b/a) − e^(-b/a))
s = 2a sinh(b/a)
We know that s = 48, and b = 20. We also know y = 30 when x = b.
48 = 2a sinh(20/a)
24 = a sinh(20/a)
30 = a cosh(20/a)
Using the given identity:
cosh²(20/a) − sin²(20/a) = 1
a² cosh²(20/a) − a² sin²(20/a) = a²
30² − 24² = a²
a² = 324
a = 18
Therefore, the wire will be 18 feet above the ground at the lowest point.
What is 0.07 divided by 10.4 in long division
Answers
Answer:
0.0067307692307692
Step-by-step explanation:
What's the reciprocal 22/7
Answers
Answer:
3 1/7 however, the reciprocal is 7/22, or, 7 1/3.
explanation:
Convert improper fraction to mixed number.
7 x 3 = 21
Add 1 to get 22.
Now, convert and reverse the order.
Therefore,
the answer is [tex]3\frac{1}{7} / 7\frac{1}{3}[/tex]
Your neighbor leaves his yard, which is 120 ft from the bus stop. He begins to walk toward you at the bus stop and then passes you. He walks at
a speed of 4 ft/s. His distance d from you after t seconds is given by d = 120 - 4t). After how many seconds is your neighbor 30 ft from you?
A.-22.5 s and -37.5 s
B. 22.5 s and 37.5 s
C. 30 s
D. 15 s and 45 s
Answers
Answer:
ANSWER B
Step-by-step explanation:
d=(120-4t)
30=120-4t
4t=120-30=90
t=90/4=22.5 s
-30==120-4t
4t=120+30=150
t=150/4=37.5 s
A student says the first step of the proof is "Reflect △ABC in AB←→ to create △ABC′." Which of the following statements logically comes next?
Answers
Reflecting the triangle ABC implies that the new position would be a mirror of the previous position
The statement that logically comes next is (c) Translate triangle ABC, so that point A maps to point W
How to determine the next stepAfter reflecting the triangle ABC, the next step is to map point A to point W on the coordinate plane.
This is done by translating the triangle ABC i.e. by shifting or moving the triangle ABC so that points A and W would be on the same point
Hence, the statement that logically comes next is (c)
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Which table shows a constant rate of change of -3?
y
x
y
y
-8
x y
15 12
3
-2
-22
2
4
-5
O
16
9
o
-1
-12
-21
-1
07
-2
17
7
0
-16
-20
-4
6
1
18
4
1
-20
-19
-7
Answers
The table that shows a constant rate of change of -3 is Table D.
Option D is the correct answer.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
The constant rate of change (r):
Take two ordered pairs (a, b) and (c, d)
= (d - b) / (c - a)
Now,
From Table D.
We see that,
r = (-1 - 2) / (-21 + 22) = -3/1 = -3
r = (-4 + 1) / (-20 + 21) = -3/1 = -3
r = (-7 + 4) / (-19 + 20) = -3/1 = -3
Thus,
The table that shows a constant rate of change of -3 is Table D.
Learn more about expressions here:
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#SPJ7
what is 2+ 1,528
pls help!!!!!!
Answers
Answer:
1530 is the sum of 2+1528
Answer:
1,530
Step-by-step explanation:
Find the Slope for the line which passes through these two points (-1,5) and (-4,-4).
Answers
Answer: positive 3 is the final answer
Step-by-step explanation:
Answer:
9/3 or just 3
Step-by-step explanation:
First we need to recognize that points are given by numbers that represent the x and y coordinates (or locations) of the point. So in this problem, the first point (-1,5) has an x value of -1 and a y value of 5. Similarly the second point has an x value of -4, and a y value of -4.
Slope is defined as rise over run, or change in y (rise as it goes up or down) over the change in x (or run as it moves left or right).
Change in x and y can be found by subtracting the first number from the second number.
So to calculate this, set up your equation like this:
[tex]\frac{5-(-4)}{-1-(-4)}[/tex]
After performing the subtraction, you should get:
[tex]\frac{9}{3}[/tex]
This further simplifies to 3.