An increase of 100% in a quantity means that the final amount is 200% of the initial amount (100% of initial + 100% of increase = 200% of initial). In other words, the quantity has doubled. An increase of 800% means the final amount is 9 times the original (100% + 800% = 900% = 9 times as large).
F(x) = (4x–5)/6
Find the Inverse
Answer:
F^-1 (x) = 3x/2+5/4
Step-by-step explanation:
First, replace f(x) with y
Replace every x with a y and replace every y with an x .
Solve the equation from Step 2 for y
Replace y with f−1(x) f − 1 ( x )
Verify your work by checking that (f∘f−1)(x)=x ( f ∘ f − 1 ) ( x ) = x and (f−1∘f)(x)=x ( f − 1 ∘ f ) ( x ) = x are both true.
Hope this helps! Stay Safe!
What word phrases represent the expressions (2x+3) + 7 and 2x + (3+7)? Are the two expressions equivalent? Explain.
Answer:
yes
Step-by-step explanation:
the results are equivalent. because, the formula is: a + (b + c) = (a + b) + c
Your family buys tickets for the Ranger game. Each ticket costs $16. You also have to pay for parking. After buying 4 tickets, your total bill is $96.50.
a) How much did you pay for parking?
b) Write an equation that gives your total bill (in dollars) as a function of the number of tickets you buy. Be sure to define your variables!
c) How many tickets could you buy with $250 if you also have to pay for parking?
Part (a)
Answer: $32.50
--------------------
Work Shown:
Each ticket costs $16. If you buy four of them, then you paid 4*16 = 64 dollars.
The total bill was $96.50
This leaves 96.50-64 = 32.50 for parking.
======================================================
Part (b)
Answer: y = 16x+32.50
--------------------
Work Shown:
x = number of tickets
y = total bill (in dollars)
1 ticket costs 16 dollars
x tickets cost 16x dollars since we multiply both values by x
Add on the cost of parking to get a total bill of y = 16x+32.50
======================================================
Part (c)
Answer: at most 13 tickets
In other words, 13 is the max you can get.
--------------------
Work Shown:
Plug y = 250 into the equation found back in part (b). Solve for x
We'll follow PEMDAS in reverse to isolate x
y = 16x+32.50
250 = 16x+32.50
16x+32.50 = 250
16x = 250-32.50
16x = 217.5
x = 217.5/16
x = 13.59375
Since we can't buy a fraction of a ticket, we must round down to the nearest whole number. We cannot round to x = 14 despite the value 13.59375 being closer to 14 as it is to 13.
x = 13 is the answer we're after.
If we plug in x = 13, we get
y = 16x+32.50 = 16*13+32.50 = 240.5
while x = 14 leads to
y = 16x+32.50 = 16*14+32.50 = 256.5
The first result of $240.50 is under $250 while the second result $256.50 is over $250. So that's why x = 13 is the largest number of tickets we can buy.
a) The parking fee is $32.50.
b) The equation is T(N) = 16N + Parking fee
c) Approximately 13 or 14 tickets.
We have,
a)
Total bill - Cost of tickets = Parking fee
$96.50 - ($16 * 4) = Parking fee
$96.50 - $64 = Parking fee
Parking fee = $32.50
b)
Total bill = T
Number of tickets = N
The equation that gives your total bill (in dollars) as a function of the number of tickets you buy is:
T(N) = 16N + Parking fee
c)
T(N) = 16N + Parking fee
Substituting the given values:
$250 = 16N + Parking fee
$250 = 16N + $32.50
$250 - $32.50 = 16N
$217.5/16 = N
N ≈ $13.6
Thus,
a) $32.50
b) T(N) = 16N + Parking fee
c) Approximately 13 or 14 tickets.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ6
Solve for x in the triangle. You must show your starting equation and all work. Then calculate the value of each angle in the triangle.
Answer: x = 59
Step-by-step explanation:
What is 3/4 + 4/5 + 5/6
The Answer is...
143 over 60
(Decimal: 2.38333)
2 + 3x²y - 1⁄2y + y - 1
Answer:
3x²y+0.5y+1
Step-by-step explanation:
2+3x²y -0.5y+y -1
2 and -1 is 1
-0.5y and +y is +0.5y so the answer is...
la razón entre dos triángulos es 4. Los lados del primer triángulo miden 6cm, 9cm, 12cm, ¿Cuáles son las
medidas del segundo triángulo?
Answer:
24cm, 36cm y 48cm
Step-by-step explanation:
Tu necesitas multiplicar cada lado por 4 porque 4 es el factor de escala.
(Lo siento si mi explicacion es mala, no se mucho Español, entonces no puedo explicar muy bien)
Find the value of x that makes m ∥ n .
Answer:
60
Step-by-step explanation:
(2x+15)=135 They're corresponding angles so they equal/congruent
-15 -15 Subtract 15 on both sides since you're looking for x
2x = 120 Bring down the remains and subtract 135 from 15
2 2 Add 2 on both sides
x= 60 Divide.
The following lines: y=2/3(x) and y=-3/2(x) are...
O Intersectings=
O Neither
O Parallel
O Perpendicular
Need ASAP
Answer:
the answer to this question is parallel
Quadrilateral WXYZ below has an interior angle sum of 360°.
Quadrilateral W X Y Z. Angle Z is 69 degrees, angle Y is 132 degrees, and angle X is 69 degrees. Angle W is unknown.
Which type of angle is Angle W?
right angle
acute angle
straight angle
obtuse angle
Answer:
the W is 90°, means it is a right angle
Step-by-step explanation:
add all numbers, then subtract the sum to 360 and you will get the answer
Answer:
the anwser is A
Step-by-step explanation:I got a 100% on my test
the sum of two numbers is 100 and their difference is 80, what are the two numbers
Answer:
The numbers are 90 and 10.
Step-by-step explanation:
Let the two numbers are x and y.
It has been given that sum of two numbers is 100. Hence, we have the equation,
x + y = 100 .........(i)
Now, the difference of these two numbers is 80. Thus, second equation is
x - y = 180......(ii)
Add equation (i) and (ii)
x + y + x - y = 100 + 80
2x = 180
Divide both sides by 2
x = 90
Substitute this value in (i)
90 + y = 100
y = 100- 90
y = 10
Therefore, the numbers are 90 and 10.
#Learn More:
The sum of two numbers is 450 and the smaller number is 120. What is the product?
Step-by-step explanation:
90 and 10x – 2y = 1
2x + 3y = -12
Answer:
x= -3
y= -2
From the first one, if you add 2y to both sides you can plug that into the second one and solve for y. Then, plug y to the first one and solve for x.
Simplified fraction 8 (5/6) =
hi
technique is to decompose both part of the fraction ( in prime numbers if possible )
8 * 5/6 = 2*4*5 / 3*2 = 20/3
Using the graph, find the
1. Domain
2. Range
3. Is it a function? Why or why not?
9514 1404 393
Answer:
domain: {-5, -4, 2, 5}range: {-6, 1, 3, 4, 5}no: fails the vertical line testStep-by-step explanation:
The domain is the list of x-values of the points on the graph. It is ...
{-5, -4, 2, 5}
The range is the list of y-values of the points on the graph. It is ...
{-6, 1, 3, 4, 5}
__
Two of the points, (2, 1) and (2, 4), have the same x-value. When a single input has multiple outputs, the relation is not a function.
If you were to draw a vertical line at x=2, it would intersect the relation in more than one place. Thus, we say the relation "fails the vertical line test." A vertical line will never intersect the graph of a function in more than one place.
The Gill family got a new puppy. The new puppy weighed 7.2 pounds when they got him. Within the first two months, the puppy gained 80% of his original weight. What is the weight of the puppy at the end of two months?
a 5.76 pounds
b 12.96 pounds
c 8.64 pounds
d 8 pounds
explain plzzz
Answer:
B. 12.96
Step-by-step explanation:First, you need to find 80% of 7.2 which is 5.76. Then, you add 7.2 plus 5.76 and that gives you 12.96.
Answer:12.69
Step-by-step explanation:
7.2 pounds + 80% =
12.96 pounds im telling you
I need help bad please anyone I need this
Answer:
The answer is A because 144 - 121 = 23 so
Step-by-step explanation:
because 144 - 121 = 23
HEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
EEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEELLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
What is the coefficient of the third term in this expression?
–k2n+5mn3–9n3–m3n
Answer:
27
Step-by-step explanation:
9x3 is 27. Coefficient is the number in the term.
Write or describe the function that flips over the x-axis, shifts right .5
units, and up 12 units. *
I spent $120 shopping for food last week. This week I spent 12% more.
Which expression could be used to find how much I spent on food this
week?
Answer:
$120*.12= then add the answer to the money amount
Step-by-step explanation:
Answer: 120*1.12
The multiplier 1.12 represents the idea of increasing by 12%
This is because 100% + 12% = 1 + 0.12 = 1.12
For example, if you spend $100 this week and increase that by 12%, then you'll spend 100*1.12 = 112 dollars next week. Note how 12% of 100 is 12, which is the amount the budget goes up.
Select all the pairs that could be reasonable approximations for the diameter and circumference of a circle. * 1 point A. 5 meters and 22 meters. B. 19 inches and 60 inches. C. 33 centimeters and 80 centimeters.
Answer:
B. 19 inches and 60 inches.
Step-by-step explanation:
Required
Select matching pairs
Represent diameter with D and Circumference with C
C is calculated as:
[tex]C = \pi D[/tex]
Where
[tex]\pi = 3.142[/tex]
A. D = 5m; C = 22m
Using: [tex]C = \pi D[/tex]
[tex]C = 3.142 * 5[/tex]
[tex]C = 15.71[/tex]
15.71 does not approximates to 22m.
Hence, the pair do not match
B. D = 19 in; C = 60 in
Using: [tex]C = \pi D[/tex]
[tex]C = 3.142 * 19[/tex]
[tex]C = 59.698[/tex]
59.698 approximates to 60.
Hence, the pair match
C. D = 33 cm; D = 80 cm.
Using: [tex]C = \pi D[/tex]
[tex]C =3.142 * 33[/tex]
[tex]C =103.686[/tex]
103.686 does not approximates to 22m.
Hence, the pair do not match
From the analysis above, only option B matches the diameter with the circumference
Janet can do a job in 3 hours, and Garry can do the same job in 2 hours. If Janet works for 1 hour before Garry comes to help, how long will it take them to do it together.
Answer:
48 minutes
Step-by-step explanation:
Given that:
Time taken by Janet = 3 hours
Janet's rate = 1/3 job / hour
Time taken by Garry = 2 hours
Garry's rate = 1/2
Rate of working together :
1/3 + 1/2 = (2 + 3) /6 = 5/6 job/hour
If Janet works for one hour before Garry joins ;
1/3 of the job has been done by Janet
1 - 1/3 = 2/3 of the job left
Hence to finish the job together, it will take :
Fraction of JOB left ÷ rate of working together
(2/3 ÷ 5/6)
= 2 /3 * 6/5
= 12 / 15
= 4 / 5 hours
To minutes
(4/5) * 60
= 240/5
= 48 minutes
Answer:
1 4/5
Step-by-step explanation:
don leaves home 2pm. he drives 45 miles from home in the first hour
Answer:
if he leave at 2pm 45 miles in the first hr is the correct answer 3 pm
Step-by-step explanation:
whats the answer im stuck ( -___-)
Answer:
(6r+7)+(13+7r)=13r+20
(13-1/2r)-(1-r)=12-1/2r
(-8-r)+(2r-4)=-12+r
Last one is r-13/6
Step-by-step explanation:
At a candy store, you can buy pre-filled bags of candy that weigh 2 1/4 pounds for $8. At this same rate, how much would a 4 pound
bag of candy cost?
Answer:
$14.22Step-by-step explanation:
step one:
given data
we are told that 2 1/4( 2.25 pound) of candy cost $8
let us find the cost of 1 pound first
so
2.25 pound cost #8
1 pound will cost x
cross multiply
x=8/2.25
x=$3.55 for one pound.
step two:
Hence if 1 pound cost $3.55
4 pound will cost = 3.55*4= $14.22
Lines AB and CD are straight lines. Find x and y. Give reasons to justify your solutions.
PLEASE HELP. WORTH 25 POINTS. PICTURE BELOW
Answer:
y = 5
x = 14
Step-by-step explanation:
AOC=25
AOL=90
Therefore COL = 65
COM is a 90 degree angle since MOD is 90 degrees
COM - COL = 90 - 65 = 25
5y = 25
y=5
LOB = 90
5y + 3x + 23 = 90
5(5) + 3x +23 = 90
25 + 3x + 23 = 90
48 + 3x = 90
3x= 90 - 48
3x = 42
x= 14
Answer:
x = 14, y = 5
Step-by-step explanation:
MOB = LOC
(3x + 23) + 25 = 90
3x + 23 = 65
3x = 42
x = 14
3(14)+23 + 5y = 90°
5y = 25
y = 5
Test your PEMDAS
6+8/2(2+2)
This one is tricky
Answer:
6+8÷2×4
6+16
=22
Step-by-step explanation:
add the numbers
calculate the new expression
add the numbers
Answer: hint use pemdas
Step-by-step explanation:
What are the equations of the lines with the given slope and y-intercept
1. Slope:2, y-intercept: -3
2. Slope: 4, y-intercept: -2
Answer:
1. y=2x-3
2. y=4x-2
Step-by-step explanation:
PLEASE PLEASE PLEASE HELP ME I WILL MARK BRAINALIST AND EXTRA POINTS TO THE FIRST PERSON
Answer:
Its C
Step-by-step explanation:
I need help on this question
Answer: The answer is 16
Step-by-step explanation: Ron is 6 tall and cast a 3ft shadow, which means its showing half his size. The tree is casting a 8 ft shadow so that means double the shadow and you should get 16ft
i need the solution to 5x+2y=7 and 7x+6y=-3
Answer:
1. x=7/5-2y/5
2. x = − 8 √ 3 ( − 1 − 2 y )
Step-by-step explanation:
i did it