Answer:
[tex]f^{-1}[/tex](x) = [tex]\frac{3-x}{3}[/tex]
Step-by-step explanation:
Let y = f(x) and rearrange making x the subject, that is
y = - 3x + 3 ( add 3x to both sides )
3x + y = 3 ( subtract y from both sides )
3x = 3 - y ( divide both sides by 3 )
x = [tex]\frac{3-y}{3}[/tex]
Change x back into terms of y
[tex]f^{-1}[/tex](x) = [tex]\frac{3-x}{3}[/tex]
determine the conversion factor needed for each conversion
cups into gallons
square meters into square centimeters
Mason found out that his recent credit card application was denied. When Mason reviewed his credit report, he found two overdue accounts that he hadn’t opened himself. As a victim of identity theft, which consequence could Mason face?
A.
community service
B.
jail
C.
job loss
D.
lowered credit score
E.
repossession of his car
YES I KNOW WHY IS THIS IN MY ONLINE MATH CLASS
Answer:
lowered credit score
Step-by-step explanation:
lowered credit score
A victim of identity theft, which consequence could Mason's face is
lowered credit score.
We have given that,
Mason found out that his recent credit card application was denied. When Mason reviewed his credit report, he found two overdue accounts that he hadn’t opened himself.
We have to determine, As a victim of identity theft, which consequence could Mason face.
What is the credit score?
A credit score is a numerical expression based on a level analysis of a person's credit files, to represent the creditworthiness of an individual. A credit score is primarily based on a credit report, information typically sourced from credit bureaus.
A victim of identity theft, which consequence could Mason's face is
lowered credit score.
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Use f(x) = 1
2
x and f -1(x) = 2x to solve the problems.
f(2) =
f−1(1) =
f−1(f(2)) =
Answer:
Part 1) [tex]f(2)=1[/tex]
Part 2) [tex]f^{-1}(1)=2[/tex]
part 3) [tex]f^{-1}(f(2))=2[/tex]
Step-by-step explanation:
we have that
[tex]f(x)=\frac{1}{2}x[/tex]
[tex]f^{-1}(x)=2x[/tex]
Part 1) Find f(2)
For x=2
substitute the value of x in f(x)
[tex]f(2)=\frac{1}{2}(2)[/tex]
[tex]f(2)=1[/tex]
Part 2) find [tex]f^{-1}(1)[/tex]
For x=1
Substitute the value of x in [tex]f^{-1}(x)[/tex]
[tex]f^{-1}(1)=2(1)[/tex]
[tex]f^{-1}(1)=2[/tex]
Part 3) Find [tex]f^{-1}(f(2))[/tex]
we know that
[tex]f(2)=1[/tex] -----> see part 1)
so
[tex]f^{-1}(f(2))=f^{-1}(1)[/tex]
we have that
[tex]f^{-1}(1)=2[/tex] -----> see part 2)
therefore
[tex]f^{-1}(f(2))=2[/tex]
Answer:
f(2) = 1
f−1(1) = 2
f−1(f(2)) = 2
Step-by-step explanation:
just did it egen2020
4 X 10⁴) + (6 x 10²)
Answer:40,600
Step-by-step explanation:
10x10x10x10=10,000
10x10=100
4x10,000+6x100
40,000+600=
40,600
Answer: 40,600
Explanation:
4 X 10,000 + 6 X 100
40000 + 600
1. About how much would it cost to buy 18 MP3 players?
About how much would it cost to buy 18 CD/MP3 players?
Electronics Prices
DATA
CD player
$74.00
MP3 player $99.00
CD/MP3 player : $199.00
AM/FM radio : $29.00
In 2-15, estimate each product.
Answer:
the answer would be $3,582 dollars i hope u geta good grade and your welcome :3
Answer: The cost would be $1782 and $3582 respectively.
Step-by-step explanation:
Since we have given that
Number of MP3 players = 18
Number of CD/MP3 = 18
Cost of each MP3 = $99.00
Cost of each CD/MP3 = $199.00
So, the Cost of 18 MP3 would be
[tex]18\times 99\\\\=\$1782[/tex]
And, the cost of 18 CD/MP3 would be
[tex]199\times 18\\\\=\$3582[/tex]
Hence, the cost would be $1782 and $3582 respectively.
I need help with this problem
What is the length of a segment with endpoints at -4, 6 and 3, 6
10. Elaine is buying cube shaped blocks to add to her mantle as decoration. She needs the dimensions of the cubes to be less than 5 inches along each edge. Which of the following would work according to the size she needs? ece of ch shows to find ? A. Cubes with a volume of 216 in.3 B. Cubes with a volume of 125 in.3 C. Cubes witha volume of 64 in.3 D. Both B and C would work
Answer: OPTION C.
Step-by-step explanation:
The volume of a cube can be calculated with the following formula:
[tex]V=s^3[/tex]
Where "s" is the length of each edge of the cube.
Solving for "s":
[tex]s=\sqrt[3]{V}[/tex]
Let's check each option to find which volume would work according to the size she needs:
A. Substitute [tex]V=216in^3[/tex] into [tex]s=\sqrt[3]{V}[/tex], then:
[tex]s=\sqrt[3]{216in^3}=6in[/tex]
B. Substitute [tex]V=125in^3[/tex] into [tex]s=\sqrt[3]{V}[/tex], then:
[tex]s=\sqrt[3]{125in^3}=5in[/tex]
C. Substitute [tex]V=64in^3[/tex] into [tex]s=\sqrt[3]{V}[/tex], then:
[tex]s=\sqrt[3]{64in^3}=4in[/tex]
Based on these results, we can determine that the cubes with a volume of [tex]64in^3[/tex] would work.
Will.mark brainliest, PLEASE HELP!
Answer:
all work is pictured/shown
The area of a rectangle is 48 cm² and the length of the rectangle is 8 cm longer than the width.
The area of a rectangle is found by multiplying the length times the width.
During the Set Up step of the five-step problem-solving plan, which equation would you set up to solve for the width?
w(w+8)=48
w + 8 = 48
8w = 48
w + 8w = 48
Answer: A
Step-by-step explanation: You know multiplying will be involved, so B can automatically be removed. It states that the length is 8 cm longer. You know absolutely nothing about the width, so the variable of w can be given for the width. You also know the length will be 8 cm longer, of w+8. w and w+8 will be multiplied, which gives you w(w+8).
Answer:
w(w+8)=48
Step-by-step explanation:
What is the solution to this equation?
9 - 4x + 7 x = 15
Answer: x = 2
Step-by-step explanation:
9 - 4x + 7 x = 15
3x = 15-9
3x = 6
x = 2
the product of 12 and 3
Answer:
36
Step-by-step explanation:
12 x 3 = 36
Decrease £28 by 7%
Increase £28 by 7%
Answer:
decrease = 26.04
increase = 29.96
Step-by-step explanation:
Decrease of £28.00 by 7% = £28 -(7% of 28)
= £28 - (0.07 × 28)
= £28 - 1.96
= £26.04
Increase of £28 by 7% = £28 +(7% of 28)
= £28 +(0.7 × 28)
= $28 + 1.96
= £29.96
Decrease £28 by 7% would be £26.04
and increase £28 by 7% would be £29.96
8. Charlene is looking into cell phone plans. Cell Plus gives unlimited minutes for $50/month. A1 Cell offers a $40 monthly fee, plus 5¢/min for any time over 300 min per month.
a) Write a linear equation to represent the charges for each company.
b) Graph the two equations to find the point of intersection.
c) What does the point of intersection represent?
d) Which plan should Charlene choose if she estimates that she will use her phone
10 h per month? 6 h per month?
Answer:
See explanation
Step-by-step explanation:
Let x be the number of minutes Charlene uses her phone per month and $y be the charge (in dollars) for x minutes of usage the phone.
A. Cell Plus gives unlimited minutes for $50/month. This paln doesn't depend on time, so
[tex]y=50[/tex]
A1 Cell offers a $40 monthly fee, plus $0.05/min for any time over 300 min per month, then
[tex]y=40+0.05(x-300)\\ \\y=40+0.05x-15\\ \\y=25+0.05x[/tex]
B. Attached diagram shows the graphs of these two functions.
C. The point of intersection is (500,50) and it represents the number of minutes x=500 when to plans have the same charges.
D. 10 hours = 600 minutes.
Cell plus charge = $50
A1 Cell charge [tex]=25+0.05\cdot 600=\$55[/tex]
Charlene has to choose Cell plus plan in this case.
6 hours = 360 minutes
Cell plus charge = $50
A1 Cell charge [tex]=25+0.05\cdot 360=\$43[/tex]
Charlene has to choose A1 Cell plan in this case.
Suppose you read 1000 pages a month. How long would take you to finish reading 1million pages?
Final answer:
To finish reading 1 million pages while reading 1000 pages a month, it would take the student 1000 months.
Explanation:
To calculate how long it would take to finish reading 1 million pages, we need to find the number of months required. Since the student reads 1000 pages a month, we can set up a proportion:
1000 pages / 1 month = 1 million pages / x months
Cross-multiplying gives:
1000x = 1 million
Dividing both sides by 1000:
x = 1000 months
Therefore, it would take the student 1000 months to finish reading 1 million pages.
6⋅[(32−8)÷4+2]
value?
Answer:
48
Step-by-step explanation:
6(24/4)+2
6(6)+2
6*8
48
identify the coordinates of four points on the line with each given slope and y-intercept. slope=-1 and that y-intercept=8
Answer:
[-1, 9], [-2, 10], [-3, 11], [1, 7]
Step-by-step explanation:
Starting from the y-intercept of [0, 8], I did rise\run by moving one block north over one block west for the first three coordinates, but retracing back to the y-intercept, I moved one block south over one block east for the last coordinate. It does not matter where you go, as long as you follow the pattern within this rate of change [slope].
I am joyous to assist you anytime.
1. Write the product using exponents. (1 point)
7.7.7
5. If we represent the length of a line by a,
how may we represent the length of a
line that is 3 inches longer? If the com-
bined length of the two lines is 15 inches,
what is the length of each line?
Answer:
Step-by-step explanation:Let a be the length of line
from question we know that
a+3 is another line
Here
a+(a+3)=15. ( Given in question )
2a = 15 -3
2a=12
a=12/2
a=6
Here a and a +3 are the length of the line
Finally ,6 and 9 are the lengths
Select the figure with no line symmetry and a rotational symmetry angle of 180 degrees.
A.
B.
C.
D.
In the given figures figure C has no line of symmetry. Hence, option C is correct.
The line of symmetry is an imaginary line that divides an object into two equal and identical halves.
It is a reflectional symmetry, meaning that each point on one side of the line corresponds to an identical point on the other side.
This line can be vertical, horizontal, or even diagonal, depending on the shape or object being considered.
The line of symmetry is an important concept in geometry and can be found in various symmetrical objects like letters, shapes, and even faces.
If we rotate Figure C with respect to any axis we don't get an identical shape.
Therefore,
Figure C has no line of symmetry.
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Which statement is true about 41?
A. It is a prime number.
B. It is a composite number.
C. It is a whole number that is neither prime nor composite.
D. It is not a whole number.
please help! i'm not understanding
A
41 is not divisible by any number other than 1 and itself so it is prime and not composite and obviously 41 is a whole number so BCD are eliminated
Answer:
A. 41 is a prime number.
Step-by-step explanation:
Since we know that 8x5= 40 and 8x6= 48, it is not a prime number.
And even if you divide any number by 41, you won't get a whole number answer. So that is why 41 is a prime number.
2. The perimeter of a rectangular room is 60 feet. Let X be the width of the
room (in feet) and let y be the length of the room (in feet). Select all of
the equations below that could model this situation.
The equation to model the given situation is x+y=30.
Given that, the perimeter of a rectangular room=60 feet.
What is the formula to find the perimeter of the rectangle?The formula to find the perimeter of the rectangle is 2(l+b).
Where, l=length and b=width.
Let x be the width of the room (in feet) and let y be the length of the room (in feet).
So, 60=2(x+y)
⇒x+y=30
Therefore, the equation to model the given situation is x+y=30.
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Please help me idk this’s
Answer:
1.30
Step-by-step explanation:
Point G is the midpoint of RH. It is known that RG = 7x - 23 and RH = 6x + 90. Find the value of GH
Answer:
GH = 96
Step-by-step explanation:
Since G is at the midpoint of RH then RG = SH and
GH = 7x - 23
Thus
RG + GH = RH ← substitute values
7x - 23 + 7x - 23 = 6x + 90
14x - 46 = 6x + 90 ( subtract 6x from both sides )
8x - 46 = 90 ( add 46 to both sides )
8x = 136 ( divide both sides by 8 )
x = 17
Hence
GH = 7x - 23 = (7 × 17) - 23 = 119 - 23 = 96
Answer:
96
Step-by-step explanation:
Drawing a picture helps to think this problem through. 2(7x-23)=6x+90 by midpoint theorem. Solve this equation.
14x-46=6x+90
8x=136
x=17
Substitute x in the equation for RG. 7(17)-23.
7x17=119
119-23=96
What is 7 hundreds x 10 in unit form
Answer: 7000
Step-by-step explanation:
What does 4 - (-19) equal?
Answer:
23
Step-by-step explanation:
Whenever you subtract a negative number, you treat it as if you're adding a positive number.
For example:
-5-(-5) becomes -5+5, which is 0.
So, 4-(-19) becomes 4+19, which is 23.
4 people can dig a hole in 3 hours. How long does it take 9 people.
Answer:
9 people is 9/4 = 2.25 times more people than 4 people. So, they can do it faster. 3 hours/2.25 = 1.33 hours 1.33 hours x 60 minutes/hour = 80 minutes
Step-by-step explanation:
Answer: 1 hour 20 minutes
Step-by-step explanation:
Let's figure out how long it would take 1 person to dig the hole and then divide that number by 9 (since they are sharing the workload).
[tex]\dfrac{1}{4}x=3\qquad \implies \qquad x = 12\quad \text{It takes 12 hours for 1 person}\\\\\\\dfrac{12\ \text{(for 1 person)}}{9\ \text{(people)}}\quad =1\dfrac{1}{3}\quad =\large\boxed{1\ hour\ 20\ minutes}[/tex]
Select the correct answer.
Which histogram correctly represents the data given in this frequency table?
Weight of Students in a Class (kg)
Weight
35-40
40-45
45-50
30-35
12
Frequency
8
10
i think its b
Step-by-step explanation:
Joyce paid 63.00 for an item at the store that was 65 percent off the original price . What was the original price
Answer:
100 % - 65% = 35%
this means that 63.00 is 35% the original price
cross multiply:
$63 35%
$x 100%
100 * 63 = 6300
------------ ---------- = $180
35 35
original price $180
The original price, 100% of an item at the store is $180.00.
What is a percentage?A percentage is a number or ratio that can be expressed as a fraction of 100. Percentage can be calculated by dividing the value by the total value, and then multiplying the result by 100.
For the given situation,
Amount paid by Joyce = $63.00
Consider the original price be 100%
65 percent off the original price = [tex]100 - 65[/tex]
⇒ [tex]35[/tex]
So, 35% of an item is $63.00
The original price 100% can be calculated as
⇒ [tex]\frac{63(100)}{35}[/tex]
⇒ [tex]\frac{63100}{35}[/tex]
⇒ [tex]180[/tex]
Hence we can conclude that the the original price, 100% of an item at the store is $180.00.
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Help with my math homework
Answer:
1. 45, 51
2. 40, 52
3. -64, 128
4. 63.5, 63.75
Step-by-step explanation:
1. It is adding 6 each time.
2. It adds 2, then 4, then 6, each time adding an extra 2 units. (another way to explain is, the original term, 2, that they add is multiplied by 2 each time)
3. It multiplies by -2 each time.
4. It adds 16, then 8, then 4, dividing the term that is added by 2 each time.
Attention:
I didn't do the bottom half of the homework, I will leave that for someone else to get the points. I hope this helps you. :)