The inverse of y=2/3x-5 is 3/2x + 15/2
What is inverse function?An inverse is a function that serves to “undo” another function.
Given a function, y = 2/3x -5
Exchange x and y
x = 2/3y -5
Solve for y
Add 5 to each side
x+5 = 2/3y-5+5
x+5 = 2/3y
Multiply each side by 3/2
3/2(x+5) = 3/2*2/3y
3/2x + 15/2 =y
Hence, The inverse is 3/2x + 15/2
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You are planning the running shoe merchandise levels for your shoe store. Last year, your running shoe sales were down 10% from the previous season. The store had projected sales of 900 pairs of running shoes. Calculate the number of units the 10% sales decline represents.
Answer:
90
Step-by-step explanation: by taking 10% off of 900, you get 810; meaning 90 was subtracted
The number of units the 10% sales decline represents is 90
what is percentage?In mathematics, a percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%"
Given here projected sales = 900 but the actual sales is 10% less than this amount , thus actual sales = 900 - 10% of 900
= 900 -( 10/100 )×900
= 900 - 90
= 810
Hence, the number of units the 10% sales decline represents is 900-810 =90
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I tried search this but it wouldn’t work
Answer:
I dont know that try asking one of the tutors one here
Anyone who know,s this please help?
Which is the correct simplified version of the expression 32x + 8 - 34x? *
66x + 8
-2x + 8
74X
6x
Answer:
-2x+8
32x+8-34x
32x-34x=-2x
-2x+8
To multiply 10 with 2/5
you should_________.
Answer:
convert 2/5 to a decimal, which is 0.4
multiplying a value by 10 means you should move the decimal point one unit to the right
so 10 x 2/5 = 4
Step-by-step explanation:
Answer:
i should multiply 10 by 2/5
10×2/5
=20/5
=4
can someone help please and thank you
Answer:
2/5
Step-by-step explanation:
you go up 2 to the right 5
Answer:
2/5 or .20
Step-by-step explanation:
m=rise/run
m=20/50 which simplifies to 2/5 because you divide 10 on the top and bottom
m=2/5
1 point
Draw a triangle with the following interior angles: Angle 1=71 degrees and
Angle 2= 82 degrees. FIND Angle 3. WRITE ANSWER AS THE FOLLOWING;
Angle Angle 3=#
Your answer
Answer:
angle 3 = 27 degrees
Step-by-step explanation:
Answer:
Angle 3 = 27
Step-by-step explanation:
Because the interior angles of a triangle always add up to 180 degrees, you can do 180 - 82 - 71 = 27 degrees for the third angle.
There is a third shower that uses 45 gallons of water in 15 minutes. What is the usage rate for this shower?
Answer:
3gallons per minute
Step-by-step explanation:
A Honda dealership sells both motorcycles and cars.there are a total of 200 vehicles on the dealership's lot. the detailer cleaned all the wheels of all the vehicles, which totaled 698 wheels. how many motorcycles and cars are there on the lot?
Answer:
x = 149, cars and 51 motorcyles
Step-by-step explanation:
4x + 2(200-x) = 698
2x = 298 x = 149, cars and 51 motorcyles
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Her budget is $65 a month. To find out how many gigabytes of data she could use if she chose this plan, she writes C(x)=65 and solves for x. What value of x makes this equation true?
Remember the function is C(x)=30x+5.
Answer:
Consider all the info you are given:
The monthly allowance is 2 GB...this is basically how much data is included in the the plan so that the monthly pymt is the same every month. When the GBs used goes pass 2GB...there is a cost to that.
You're given C(x) = 30x + 50, the monthly cost of the plan
'x' is the GB of data used OVER the allowance (2GB.)
They put over in italics to give you a hint to the solution.
(a) C(0.7) is the cost when the data used goes over 2GB by 0.7 GB. C(0.7) = 30(0.7) + 5 = 26
The college student would pay $26 when they use an extra 0.7GBs (pass the allowance.)
(b) This part to the problem wants you to figure out how much the overage, pass the 2GBs, the college student can go and only end up paying $50 (the set budget)
So you the solve for x by setting C(x) = 50
30x + 5 = 50
30x = 50 - 5 = 45
x = 45/30
x = 1.5
Remember x is the overage (the GBs over the allowances), so to stay at budget, the college student can use 3.5 GBs of data (2GBs + 1.5 GBs) only pay $50 that month.
Hope this helps...
You set up a hot chocolate stand at a football game. The cost of your supplies is $75. You charge $0.50 for each cup of hot chocolate. Write a function that represents the profit P for selling c cups of hot chocolate.
Answer:
P = 0.5c - 75
Step-by-step explanation:
Profit is = selling price. - cost price
Cost price is the amount the supplies were bought = $75
The cost of c cups at $0.5 per cup will be
0.5 * c = $0.5c
The profit here is thus;
P = 0.5c - 75
8th grade math homework, I need help
Answer:
c = √18
Step-by-step explanation:
c² = 3² + 3² = 18
so c = √18 = 3√2 ≈ 4.24
The body of a 154-pound person contains approximately 2 x 10-1 milligrams of gold and 6 x 101 milligrams of aluminum. Based on this information, the number of milligrams of aluminum in the body is how many times the number of milligrams of gold in the body?
Answer:
About 32 times
HELP ASAP: How far apart are the spider and the fly?(it needs to be written in a equation, then round to the nearest 10 if necessary)
It is a right triangle. The distance is the hypotenuse of the triangle.
Use the Pythagorean theorem:
Distance = sqrt(3^2 + 2^2)
Distance = sqrt( 9 + 4)
Distance = sqrt(13) (exact distance)
As a decimal sqrt(13) = 3.60555
5. A system of equations is below. For what value would
you multiply the first equation to eliminate the x-term?
(y=x+2
3x + 3y = 6
Answer:
We would multiply the first equation by -3 to eliminate the x-term.
Step-by-step explanation:
Given the system of equations
y = x+2 Equation 1
3x+3y = 6 Equation 2
Multiply the Equation 1 by -3
-3y = -3(x+2) ⇒ -3y = -3x-6 ⇒ -3x+3y = 6
Thus, equation 1 becomes
-3x+3y = 6
Now, adding equation 2
-3x+3y = 6
+
3x+3y = 6
________
0x + 6y = 12
6y = 12
y = 2
Therefore, we would multiply the first equation by -3 to eliminate the x-term.
You purchase a video game system for $150. You make a down payment of $25. You pay the rest of the money you owe in 5 equal monthly payments with no interest. How much is each monthly payment ?
Can you help me set the problem up too? thx
9514 1404 393
Answer:
$25
Step-by-step explanation:
Let p represent the monthly payment. There are 5 of them, so the amount of their total is 5p. That, together with the down payment, makes up the entire cost of the system.
5p +25 = 150 . . . . an equation representing the relationships
__
To solve this, subtract 25 and divide by 5.
5p = 125
p = 125/5 = 25
Each monthly payment is $25.
A plane is beginning to descend when it is 10,000 feet in the air. The straight line distance (hypotenuse) to the airport is 25,000 feet. What is the angle of depression at which the plane began its descent? Round your answer to the nearest degree.
Answer: 35,000
Step-by-step explanation:
Someone help!
Graph the solution to the inequality on the number line.
h > 75.5
Answer:
DStep-by-step explanation:
hope it helps....... .
The value of the variable h is greater than 75.5 that means at 75.5 there will be an open circle.
What is a number line?A number line refers to a straight line in mathematics that has numbers arranged at regular intervals or portions along its width. A number line is often shown horizontally and can be postponed in any direction.
Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
The inequality is given below.
h > 75.5
The value of the variable h is greater than 75.5 that means at 75.5 there will be an open circle.
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Given that
9^-1/2 = 27^1/4 ÷ 3^x+1
Find the exact value of x.
Answer:
Find the exact value using trigonometric identities.
Exact Form: x=34
Decimal Form: x=0.75
Step-by-step explanation:
The value of x is 3.
What is algebra?Algebra is a branch of mathematics dealing with symbols and the rules for manipulating those symbols.
Given:
[tex]9^{-1/2} = 27^{1/4}[/tex]÷[tex]3^{x +1}[/tex]
[tex][3^{2}]^{{-1/2}} = [(3)^{4}]^{1/4}[/tex] ÷[tex]3^{x +1}[/tex]
[tex]3^{-1}[/tex] = 3 ÷[tex]3^{x +1}[/tex]
[tex]3^{-1}[/tex]= [tex]\frac{3}{3^{x+1}}[/tex]
[tex]3^{-1}= 3^{1-x+1}[/tex]
[tex]3^{-1}= 3^{2-x}[/tex]
On comparing we get,
-1=2-x
x= 3
Hence, the value of x is 3.
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Find the length of D.
Answer:
root 50
Step-by-step explanation:
Pythagorean theorem d is the hypotenuse
Answer:
5/2
Step-by-step explanation:
/50 if you do a2+b2=c2 and c=d
Find the measure of angle 1.
a. 95
b. 100
d. 105
Answer:
split
Step-by-step explanation:
Solve the inequality and enter your solution as an inequality comparing variable to solution-31>x-48
Answer:
solving the inequality [tex]-31>x-48[/tex] we get: [tex]\mathbf{x<17}[/tex]
Step-by-step explanation:
We need to solve the inequality [tex]-31>x-48[/tex]
Solving the inequality and finding value of x:
[tex]-31>x-48[/tex]
First we will be switching sides i.e. left hand side will become right hand side and right hand side will become left hand side. In doing so, the inequality sign i.e. > will be reversed and changed with <
[tex]x-48<-31[/tex]
Now, for finding value of x, we will be adding 48 on both sides
[tex]x-48+48<-31+48\\x<17[/tex]
The value of x is less than 17 i.e. [tex]\mathbf{x<17}[/tex]
So, solving the inequality [tex]-31>x-48[/tex] we get: [tex]\mathbf{x<17}[/tex]
Please answer the question please. The question is down below.
If we have six decisions to make and 2 choices for each decision, how can we represent the number of potential outcomes?
A 6 to the power of 2
B 2 to the power of 2
C 6 to the power of 6
D 2 to the power of 6
Answer:
A
Step-by-step explanation:
because for each 6 you have 2
We can represent the number of potential outcomes by 2 to the power 6.
What is permutation and combination?'In mathematics, permutation relates to the act of arranging all the members of a set into some sequence or order.
The combination is a way of selecting items from a collection, such that the order of selection does not matter.'
'The power of a number says how many times to use the number in a multiplication. Powers are also called exponents or indices.'
According to the given problem,
We can assume, for two choices, we have one decision.
This can be represented as [tex]2^{1}[/tex].
Since, we have six decisions,
Representation of the potential outcomes ⇒[tex]2^{1}+2^{1} +2^{1} +2^{1} +2^{1} +2^{1}[/tex]
= [tex]2^{6}[/tex]
= [tex]64[/tex]
Hence, the representation of the number of potential outcome is 2 to the power 6.
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what is the equation of this line?
Answer:
Y=4
Step-by-step explanation:
The line is horizontal, which means that variable would be 4. The line starts at 4, which mean the equivalent of the variable is 4.
the sum of the digits of a two-digit number is 11 the tens digit is one less thn three times the ones didgit find the original number
Answer:
The original number is 83
Step-by-step explanation:
let the number be ab
Sum of the two is 11
a + b = 11
tens digit a is one less than 3 times the ones digit
3b - a = 1
a = 3b - 1
3b -1 + b = 11
4b = 11 + 1
4b = 12
b = 12/4
b = 3
a = 3b - 1
a = 3(3) - 1
a = 9-1
a = 8
PLEASE HELP ON ALL OF THEM!!
i WILL MARK BRAINLY
Answer:
on what
Step-by-step explanation:
Answer:
Nothing showed up :/
Step-by-step explanation:
leaving the freeway, denise slows from 55 mph to 35 mph in 4 seconds. what was her rate of deceleration?
Answer:
5 miles per hour/second
Can anyone Plz help me in this question (see the attachment)
Fast Plz tomorrow is my exam....
Answer:
I hope this helps. When you're drawing yours, make this widths of the bars the same. Leave a gap before drawing your bars.
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I've you don't understand something, please comment
help plzzzzzzzzzzzzzzzzzzzzzzzzzz
Answer: 1
Step-by-step explanation: