Given statement solution is :- The Inverse line that represents \(f^(-1\)) is \(f^(-1)\) (x) = 3x + 4.
To find the inverse function of f(x) = (x - 4)/3, we need to swap the roles of x and y and solve for y. Let's start by writing the equation with y instead of f(x):
y = (x - 4)/3
Now, let's interchange x and y:
x = (y - 4)/3
To solve for y, we can isolate it by multiplying both sides of the equation by 3:
3x = y - 4
Next, let's add 4 to both sides:
3x + 4 = y
Finally, we can write the inverse function as:
\(f^(-1)(x)\) = 3x + 4
So, the Inverse line that represents \(f^(-1\)) is \(f^(-1)\) (x) = 3x + 4.
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Please help urgent thank you
If he wants an average of 84, he needs to get at least 93 points.
What score does he need to get in the next test?Remember that the average value between 3 values A, B, and C is:
(A + B + C)/3
Here we know that the first two scores are 76 and 83 points, let's say that the third score is x, if we want to have an average of 84 or more, then we need to solve:
(76 + 83 + x)/3 = 84
159 + x = 252
x = 252 - 159
x = 93
So he needs to get at least 93 points in the next exam.
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Evaluate the following absolute value function for x=-1
y = 5|x+4|
Answer:
y=15
Step-by-step explanation:
y = 5|-1+4|
y=5|3|
y=15
9-2(9r + 3) - 7r > -10r - (12r +9)
Answer:
The answer is r < 4
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
hoped this helped!
brainly, please?
7. Calculate the exact volume (in terms of pi).
9 in
sin...
Step-by-step explanation:
Volume of a cone is given by
V = 1/3 pi r^2 h
= 1/3 pi * (5^2) * 9 = 75 pi in^3
When we multiply a number by 3, we
sometimes/always/never v
get the same value as if we added 6
to that number.
Stuck? Watch a video or use a hint.
Report a problem
7 of 7 ..
nyone, anywhere
Imnact
Math by grace
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Answer:
? what's the question??????????????????
general: what is represented on the x and y axis in this graph? what does the black observed line represent in each graph?
The given question is incomplete as the graph is missing.
But, considering a line graph, the following parameters can be represented on the x-axis and y-axis:
X-Axis Y-Axis
Year Population
Time Number of employees hired
Identical items purchased Total cost in dollars
What does the blank observed line represent in each graph?
The blank observed line represents the time. A line graph is basically used to connect the quantitative values over the different time intervals. The change in values over time is easier to estimate, by the help of the line graph. For example: in a graph showing the year on the x-axis and the population on the y-axis, the blank line represents the change in population over the years, the increase or decrease or the rate of change.
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Need help. This please
The domain of the quadratic function in this problem is given as follows:
All real values.
How to obtain the domain of the function?The domain of a function is the set of all the possible input values that can be assumed by the function.
On the graph, the domain of the function is given by the values of x of the function.
A quadratic function has no restrictions on the domain, hence it is defined by all the real values.
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What does a negative net worth indicate?
a Your assets exceed your liabilities.
b. Your assets equal your liabilities.
C Your liabilities exceed your assets.
d. You have only assets and no liabilities.
Please select the best answer from the choices provided
Answer:
c. Your liabilities exceed your assets.
Step-by-step explanation:
The negative net worth indicates option(C) Your liabilities exceed your assets
What is Negative net worth?This means you owe more money than assets that you own.
What is Liabilities?A liability is something a person or company owes, usually a sum of money
Here,
Negative net worth indicates option (C) Your liabilities exceeds your assets is negative net worth. Because this means you owe more money than assets that you own.
Other options are not indicating negative net worth
Hence, the negative net worth indicates option(C) Your liabilities exceed your assets
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If f(-2) = a and (f • g) (-2) = 2a^2, which of the following is g (-2)?
Answer: \(g(-2)=2a\)
Step-by-step explanation:
\((f \cdot g)(-2)=f(-2)g(-2)\\\\\therefore a \cdot g(-2)=2a^2 \implies g(-2)=2a\)
The function g(-2) from the given functions is 2a.
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
The given functions are f(-2)=a and (f·g)(-2)=2a².
Here, (f·g)(-2)=2a²
f(-2)·g(-2)=2a²
a·g(-2)=2a²
g(-2)=2a²/a
g(-2)=2a
Therefore, the function g(-2) is 2a.
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If your exponent on your power 10 is positive, is your number larger or smaller than 10?
Answer:
See below.
Step-by-step explanation:
The number maybe less than 10, equal to 10, or larger than 10.
Examples:
A.
exponent: 1/2
10^(1/2) = sqrt(10) (less than 10)
B.
exponent: 1
10^1 = 10 (equal to 10)
C.
exponent: 2
10^2 = 10 * 10 = 100 (larger than 10)
in an equilateral triangle the first side is x+1, second side is 2x+4, the third side is 3x+y, find the value of x and y
The value of x is -3 and y is 7 for equilateral triangle having x+1, 2x+4 and 3x+y sides.
We can use the fact that an equilateral triangle has equal lengths on each of its three sides to determine the values of x and y.
Given:
First side=x+y
second side= 2x+4
third side=3x+y
An equilateral triangle has three equal sides, hence the following equations can be constructed:
x + 1 = 2x + 4
2x + 4 = 3x + y
Let's tackle each of these equations separately:
x + 1 = 2x + 4
We will subtract x from both sides and subtract 4 from both sides in order to solve this equation:
x + 1 - x = 2x + 4 - x
1 = x + 4
By taking 4 away from both sides, we arrive at:
1 - 4 = x + 4 - 4 , -3 = x
Therefore, x has been determined to be -3.
Now, substitute the value of x in the second equation:
2x + 4 = 3x + y
2(-3) + 4 = 3(-3) + y
-6 + 4 = -9 + y
-2 = -9 + y
y = -2 + 9
y = 7
So, we determined that y has a value of 7.
As a result, the values of x and y are, respectively, x=-3 and y=7
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Answer:
Step-by-step explanation:
In an equilateral triangle all sides are equal.
So each of these sides (and their equations are equal to each other.)
To find x - set the first two (as they only involve x) equal to each other and solve.
x + 1 = 2x + 4
x -x + 1 = 2x - x + 4
1 = x + 4
1- 4 = x + 4 - 4
-3 = x
Then substitute -3 for x in the last equation to find y, also setting it equal to one of the other equations.
3(x) + y = x + 1
3(-3) + y = -3 + 1
-9 + y = -2
-9 + 9 + y = -2 + 9
y = 7
so x = -3 and y equal 7
Your restaurant bill is $72.34. You want to leave about a 20% tip. Which is the best estimate of a 20% tip ?
Answer:
$14.47
Step-by-step explanation:
you multiply $72.34 by .2 (the decimal of 20%) to find the answer.
Answer:
$14.40
Step-by-step explanation:
Your restaurant bill is $72.34. You want to leave about a 20% tip. Which is the best estimate of a 20% tip?
$14.00
Correct
$14.40
Incorrect
$14.60
Incorrect
$14.70
Find the 13th term of the geometric sequence 4, −8, 16, ...
Answer:
Step-by-step explanation:
How to calculate your bi-weekly paycheck based on 20 hour weeks at a rate of $9.00 per hour. Also, You will need to deduct Federal Income Tax (11.9%) , State Income Tax (3.6%), F.I.C.A (7.65%), and professional dues. Lastly you will need to look determine whether or not you will be able to pay your monthly car insurance bill of $200.00?
To calculate your bi-weekly paycheck, follow these steps:
Step 1: Calculate the gross earnings:
Multiply the number of hours worked per week by the hourly rate.
20 hours/week * $9.00/hour = $180.00/week
Step 2: Calculate the total earnings for two weeks:
Multiply the weekly earnings by the number of weeks in a bi-weekly pay period.
$180.00/week * 2 weeks = $360.00
Step 3: Calculate the deductions:
Calculate each deduction separately and subtract them from the gross earnings.
Federal Income Tax: $360.00 * 11.9% = $42.84
State Income Tax: $360.00 * 3.6% = $12.96
F.I.C.A: $360.00 * 7.65% = $27.54
Professional Dues: Amount varies depending on the specific dues.
Total Deductions: $42.84 + $12.96 + $27.54 + Professional Dues
Step 4: Calculate the net earnings:
Subtract the total deductions from the gross earnings.
Net Earnings = Gross Earnings - Total Deductions
Once you have the net earnings, you can determine if it is sufficient to cover your monthly car insurance bill of $200. If your bi-weekly net earnings are greater than or equal to $200, you will be able to pay your car insurance bill.
It is important to note that these calculations are based on the information provided, and actual tax rates and deductions may vary depending on your specific circumstances and location.
Additionally, professional dues may differ depending on your profession. It is recommended to consult with a tax professional or payroll department for precise calculations.
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Plz help I am in my unit test plz
The sugar maple tree in Sarah’s yard is the age of the oak tree in her yard. If the sugar maple is 12 years old, how old is
the oak tree?
a. The oak tree is 7 years old.
B. The oak tree is 2 years old.
C. The oak tree is 60 years old.
D. The oak tree is 17 years old.
Step-by-step explanation:
the oak tree is 17 years old
In the square pyramid shown, points and are midpoints of the edges of one face. If the figure is sliced through points and and through the base, which best describes the shape of the resulting cross section? The picture shows a triangular prism. M and N are the points on the prism. A. rectangle B. trapezoid C. quadrilateral D. parallelogram
Based on the given information, we have a square pyramid with points M and N being the midpoints of the edges of one face. and forms a parallelogram. Option D
Since the base of the pyramid is a square, the cross section will consist of a square shape. Additionally, since the slice is made through the midpoints of the edges of the face, the resulting cross section will have parallel sides.
Considering these characteristics, we can conclude that the shape of the resulting cross section is a parallelogram. A parallelogram is a quadrilateral with opposite sides parallel. In this case, the opposite sides of the square cross section will be parallel, as the slice passes through the midpoints of the edges.
Therefore, the correct answer is D. parallelogram.
It's important to note that a triangular prism is not the correct answer because a triangular prism is a three-dimensional figure with two triangular bases and three rectangular faces. The cross section resulting from the given slice will not have the characteristics of a triangular prism. Option D.
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Fifteen percent of 168
Answer:
25.2
Step-by-step explanation:
168 x .15 = 25.2
\(\large\text{Hey there!}\)
\(\rm{15\%\ of\ 168}\\\\\rm{= 15\% \times 168} \\\\\rm{= \dfrac{15}{100}\times 168}\\\\\rm{= \dfrac{15}{100}\times \dfrac{168}{1}}\\\\\rm{=\dfrac{15\times168}{100\times1}}\\\\\rm{= \dfrac{2,520}{100}}\\\\\rm{= 25.2}\)
\(\huge\text{Therefore, your answer should be: }\)
\(\huge\boxed{\frak{25.2}}\huge\checkmark\)
\(\huge\text{Good luck on your assignment \& enjoy your day!}\)
~\(\frak{Amphitrite1040:)}\)
Alicia is writing the program for a video game. For one part of the game she uses the rule (x,y) --> (x - 3, y + 4) to move points on the screen. ( Look at the picture to answer options A,B,C and show your work. If correct I'll Mark Brainliest.
Answer:
your answer is c
Step-by-step explanation:
Alexander is a stockbroker. He earns 12% commission each week. Last week, he
sold $5,400 worth of stocks. How much did he make last week in commission? If he averages that
same amount each week, how much did he make in commission 2011?
Answer:
A) $648 B) $33,696
Step-by-step explanation:
attached
Convert .805 liters to millimeter s
Write the equation of the line that passes through the points (7,-8) and (2, -8).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.
Answer:
The equation of the line that passes through the points (7,-8) and (2, -8) is \(\mathbf{y=-8}\)
Step-by-step explanation:
We need to write the equation of the line that passes through the points (7,-8) and (2, -8).
We need to write answer in fully reduced point-slope form, unless it is a vertical or horizontal line.
The general equation of point-slope form is: \(y-y_1=m(x-x_1)\)
where m is slope of the line.
To find the slope, we can use formula: \(Slope=\frac{y_2-y_1}{x_2-x_1}\)
We have \(x_1=7,y_1=-8,x_2=2, y_2=-8\)
Putting values and finding slope:
\(Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{-8-(-8)}{2-7}\\Slope=\frac{-8+8}{-5}\\Slope=\frac{0}{-5}\\Slope=0\)
So, we find the slope : m = 0
Now, using the point (7,-8) and slope m =0, the required equation is:
\(y-y_1=m(x-x_1)\\y-(-8)=0(x-7)\\y+8=0\\y=-8\)
So, the equation of the line that passes through the points (7,-8) and (2, -8) is \(\mathbf{y=-8}\)
An instructor announces that 2 out of 5 test
questions will be essay-type questions. If the
test has 20 questions, how many are essay-type
questions?
Answer:
8 essay-type questions
Step-by-step explanation:
This is the answer because:
1) 2 out of 5 is the same as 2/5
2) Next, we have to get 2/5's denominator to equal 20.
2 x 4/5 x 4 = 8/20
3) 8/20 means that 8 of the test questions are essay-type
Hope this helps!
what is 0.00291545189 in fraction form
Answer:
1/343
Step-by-step explanation:
hope it helps you not like that other person
The decimal 0.00291545189 in fraction form is 91545189/100000000000.
The given decimal, 0.00291545189, has 11 decimal places.
To convert it to a fraction, the decimal as the numerator and the denominator as 1 followed by 11 zeros:
= 0.00291545189
= 291545189/100000000000
Simplifying the fraction, if possible, by dividing both the numerator and denominator by their greatest common divisor, we get:
= 291545189/100000000000
Therefore, 0.00291545189 in fraction form is 91545189/100000000000.
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Alex's recipe calls for 1/3 cup of chocolate chips for every 2 cups of flour. If he increases the
amount of flour to 3 cups, how many cups of chocolate chips will he need?
Answer:
1/2 cup of chocolate chips
Step-by-step explanation:
Given ratio:
chocolate chips : flour = 1/3 cups : 2 cupsLet x be the unknown amount of chocolate chips:
\(\implies \sf \dfrac{1}{3}:2=x:3\)
\(\implies \sf \dfrac{\frac{1}{3}}{2}=\dfrac{x}{3}\)
Cross multiply:
\(\implies \sf 3 \cdot \dfrac{1}{3}=2 \cdot x\)
\(\implies \sf 1=2x\)
\(\implies \sf x=\dfrac{1}{2}\)
Therefore, 1/2 a cup of chocolate chips will be needed for 3 cups of flour.
Let that be x
1/3/2=x/31/6=x/3x=3/6x=1/2 cupWhat is the radius of a circle whose arc is 200 ft?
Answer:
20358489841224558533214578
One pound of blueberries costs $2.77 How many pounds of blueberries can you buy for $10? (Round to the nearest cent)
Answer:
Step-by-step explanation:
10 divided by 2.77 is
3.61010830325.
rounded up is 4 pounds?
Answer:
3
Step-by-step explanation:
If you divide 10 divided by 2.77 you get 3.610108303 but you don't need all the decimals so instead you will just get rid of the decimals in this scenario (not in all) and if you double check yourself by doing 2.77 x 3 you will get 8.31 and thats all you can do because 2.77 x 4 is 11.08 but you have a budget of $10.00 so your answer is:
You can get 3 pounds of blueberries with $10
⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️HELP HELP HELP EXTRA POINTS AND BRAINLIEST! IMAGE ATTACHED! ANSWER ALL BOXES! PLEASE EXPLAIN!
Answer:
Step-by-step explanation:
graph_1 and graph_2 are for this task
graph_3 is for previous task.
The rectangle below, with dimensions of 7 centimeters (cm) and w centimeters (cm), is partitioned into two smaller rectangles. 6 7 w Select all of the expressions that represent the area, in am?, of the shaded portion. A 7w+6 B TW - 42 7(W-6) D 6(w +7) 2(w --6) +14
the formula to obtain the area of a rectagle is
\(A=b\cdot h\)in order to know the area of the shaded portion we need to know the value of b and h
h=7
b= w-6
\(A=(w-6)\cdot7\)\(A=7w-42\)the correct answers are
B
C
You earn $1,600 per pay period. Your deductions are $110, $66, and $14. What is your net pay?
Answer:
Your net pay is
\($1410\)
Step-by-step explanation:
All we have to do is add the deductions and then subtract them from what your earn.
\(1600 - (110 + 66 + 14) = \\ 1600 - 190 = 1410\)
Peter received a $15 tip on a meal that cost $130. What percent of the meal cost was the tip?
11.5%
21%
18.5%
14%