Answer:
[tex]f^{-1}[/tex](x) = [tex]\frac{1}{9}[/tex] x + 8
Step-by-step explanation:
let y = f(x) and rearrange making x the subject, that is
y = 9(x - 8) ← divide both sides by 9
[tex]\frac{y}{9}[/tex] = x - 8 ( add 8 to both sides )
[tex]\frac{y}{9}[/tex] + 8 = x
Change y back into terms of x with x = [tex]f^{-1}[/tex](x) , thus
[tex]f^{-1}[/tex](x) = [tex]\frac{1}{9}[/tex] x + 8
What is the simplified form of (2b2 – 6) + (4b + 7) – (b2 + 5b – 3)?
Answer:
b2−b+4
Step-by-step explanation:
Write the problem as a mathematical expression.
(2b2−6)+(4b+7)−(b2+5b−3)(2b2-6)+(4b+7)-(b2+5b-3)
Remove parentheses.
2b2−6+4b+7−(b2+5b−3)2b2-6+4b+7-(b2+5b-3)
Simplify each term.
2b2−6+4b+7−b2−5b+32b2-6+4b+7-b2-5b+3
Simplify by adding terms.
b2−b+4
Find the indicated angle measurement
Answer:
by adding both the given angle we will get
78+69
Step-by-step explanation:
=141
A concert hall has seven sections. Each section has 23 rules. Please roll has 14 seats. If the theater sells out pretty particular performance, how many people attended? If the average ticket sold for $20, how much was collected at the box office? Need to write an equation. Thanks
Answer:
The number of people that attended the performance = 2,254
Amount collected at box office = $45,080
Step-by-step explanation:
For the theater to sell out a performance, it means it was filled to the brim( completely filled)
We have 7 sections, with 23 rows each
The total number of rows will be 23 * 7 = 161 rows
Since each row has 14 seats, the total number of seats will be 161 * 14 = 2,254 seats
Secondly we want to know how much was collected at the box office given the average ticket price
The amount collected at the box office = Number of seats * average ticket price = 2,254 * 20 = $45,080
PLEASE QUICK WILL GIVE BRAINLIEST Which statement describes the cost to park as a unit price?
Answer:
The 3rd choice you gave.
Step-by-step explanation:
A unit price has to have 1 in the denominator. So the 3rd choice is correct
I hope this helped! Sorry for answering so late
Answer:
The answer is (C)
Step-by-step explanation:
hope this helps :)
If the sum of 3 and y is the sum of 2 and 2
Answer:y=1
Step-by-step explanation:
Answer:
y=4/3
Step-by-step explanation:
3+y=2+2
3y=4
y=4 divided by 3
y=4/3
I need help with this geometryyyy workkk
Answer:
Perpendicular
Step-by-step explanation:
For this problem, it is important to note two things. One line is completely vertical, and the other line is completely horizontal.
The line y=9 is completely horizontal at the y-value at 9. The line x = 2 is completely vertical at the x-value at 2.
Hence, these two lines would be perpendicular.
Cheers.
Answer:
Perpendicular.
Step-by-step explanation:
Since it makes a huge cross +, which we want it to be, we need the lines to intercept and it makes a right angle. That means it is perpendicular.
Two angles are supplementary if the sum of their measures is 180.
What is the slope of the line that connects the points
(-2,6) and (4,0) ?
Answer:
[tex]m=-1[/tex]
Step-by-step explanation:
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Simply plug in the 2 coordinates into the slope formula to find slope m:
[tex]m=\frac{0-6}{4-(-2)}[/tex]
[tex]m=\frac{-6}{4+2}[/tex]
[tex]m=\frac{-6}{6}[/tex]
[tex]m=-1[/tex]
HELP!!! WILL GIVE BRAINLIEST!!!! 40 POINTS!!!!!! The agriculture department of a university works with individuals wanting to build greenhouses heated with only plastic. The department raised funding for 3,450 greenhouses. The program started with a group of 310 existing greenhouses. The number grew to 3,262 greenhouses 10 years after inception. Which equation can be used to model the relationship between the number of greenhouses outfitted depending on the number of years since the project began?
Answer:
Should be something along the lines of:
3,450 = 326x - 310
Step-by-step explanation:
First, let's start with the number of years. Assume the number of years is x. 3262 greenhouses amounts to about 326 greehouses/year. The other number was the existing greenhouses, but we want just how many greenhouses that were built, per the subtraction sign.
Hope this helps!! : )
Sorry if I am wrong, haven't done equations in a while.
8x + 2y = 18
what is the literal equation
Answer:
Step-by-step explanation:
For x:
8x = 18 - 2y
x = (18 - 2y)/8
For y:
2y = -8x + 18
y = -4x + 9
someone please help me
(1873-9y2+x-21) = (3x-4)
Answer:x= −9 /2 y^2+928
Step-by-step explanation:
what can be a segment bisector
Answer: A segment bisector, always passes through the midpoint of the segment and divides a segment in two equal parts. Points, lines, segments, and rays are all types of segment bisectors. If either a ray or a line serves as a segment bisector, it will be infinite.
Hello your very welcome :)
Answer:A segment bisector, always passes through the midpoint of the segment and divides a segment in two equal parts. ... Points, lines, segments, and rays are all types of segment bisectors. It will be infinite.
Step-by-step explanation:
Vanya drove 405 miles in 9 hours. Chuy drove 350 miles in 7 hours. Alfredo drove 330 miles in 6 hours. Who was driving at the fastest speed? (fastest MPH/ fastest Unit Rate) Question 14 options: Vanya Chuy Alfredo
Answer:
350 miles in 7 hours
Step-by-step explanation:
1. find
if 9=405
1=v(represent with a variable
2. do the same for the others and select the highest number
What is the value of y in the solution to the following system of equations?
5x – 3y = -11
2x - 5y = -14
Answer:
{x,y} = {33/19,-2/19}
Step-by-step explanation:
Answer: For 5x-3y=-11, the answer is y=11/3 + 5x/3.
For 2x-5y=-14, the answer is y=14/5 + 2x/5
Step-by-step explanation: Move all terms that do not contain y to the right side and then solve.
I hope this helps you out! :)
Bonjour je suis en 3 ème pouvez vous m'aider s'il vous plaît une voiture met 2 h 30 pour faire 200 km 1. Calculer sa vitesse moyenne en km/h 2. Calculer la distance parcourue en a ) 3h 15 b) 42 min c) 3h 36 min 3. Calculer le temps mis pour parcourir 540 km
Répondre:
Explication étape par étape:
Vitesse = Distance / Temps
Distance donnée = 200 km
Durée = 2 h 30
Convertir le temps en heures
Depuis 60 minutes = 1h
2 heures 30 minutes = 2+ (30/60)
2h30 = 2 + 1/2 hors
2 heures 30 minutes = 2,5 heures
Vitesse en km / h = 200 km / 2,5 h
Vitesse en km / h = 80 km / h
D'où sa vitesse moyenne en km / h est de 80 km / h
a) Distance = Vitesse * Temps
Vitesse donnée = 80 km / h
Durée = 3h15
Temps = 3 15/60 h
Durée = 3,25 h
Distance = 80 * 3,25
Distance parcourue en 3h15 = 260 km
b) Distance = Vitesse * Temps
Vitesse donnée = 80 km / h
Durée = 42 minutes
Durée = 42/60 h
Distance = 80 * 42/60
Distance = 3360/60
Distance = 56 km
Distance parcourue en 42 minutes = 56 km
c) Distance = Vitesse * Temps
Vitesse donnée = 80 km / h
Durée = 3 h 36 minutes
Temps = 3 36/60 h
Durée = 3,6 h
Distance = 80 * 3,6
Distance = 288 km
Distance parcourue en 3 h 36 min = 288 km
d) Distance donnée = 540 km
Vitesse = 80 km / h
Temps = Distance / Vitesse
Heure = 540/80
Temps = 6,75 heures
Par conséquent, le temps nécessaire pour parcourir 540 km est de 6,75 heures
is 42 already already in simplest form.do you agree or disagree?explain
Answer:
Yes the number 42 is at its simplest form.
Step-by-step explanation:
Any whole number is already at its simplest form.
(m • n) • p=m • (n • p)
what property is this
Answer:
Step-by-step explanation:
Similar triangles assignment
Answer:
Not similar
Step-by-step explanation:
Answer:
D. Not Similar
Step-by-step explanation:
It's not A because AA doesn't prove congruence.
It's not B because SSS is not on the diagram, unless it's given that three sides are congruent to each other.
It's not C because there's not any sides that are congruent to one another unless it is given.
true or false, the mean, median, and mode of 1, 2, 3, 4, 5 are all the same answer.
Answer:
No
Step-by-step explanation:
No. The mean and median would both be three, but since all the numbers are different, there IS NO mode.
5
A triangular shaped park
has side walks that are
30 feet, 40 feet, and 50
feet long. Does the
sidewalk make a right triangle
Here is Triangle A. Lin created a scaled copy of Triangle A with an area of 72 square units. C. What is the length of bottom side of the scaled copy?
Answer:
The length of bottom side of the scaled copy is 12 u
Step-by-step explanation:
To solve this problem we have to know that to calculate the area of a triangle we use the following formula
a = area
b = base
h = height
a = b * h
In the triangle A the base and the height are equal to 3
b = h
Now that we know that b & h we can calculate the base of the scaled copy
72 u² = b * b
72 u² = (b)²
√(72 u²) = b
12 u = b
The length of bottom side of the scaled copy is 12 u
. If T is the midpoint of SU, what are ST, TU, and SU?
Step-by-step explanation:
We have ST=5x, TU=3x+32 and they're equal if T is the midpoint:
5x = 3x + 32
2x = 32 x = 16
ST = 5x = 80
So TU = 80
and SU=160
Answer: Second choice
A pasta factory made 328.16 pounds of pasta in 7 minutes. How much pasta, on average, did the factory make each minute?
Answer:
46.88 lb per minute
Step-by-step explanation:
328.16/7
46.88
pleaseeee help!! (click on the pic)
Is 0.35217534 a rational
Answer: YES
Step-by-step explanation:
THREE WAYS TO DETERMINE:
If the number given is in integer, it is rational.
If the number given is fraction, it is rational.
If the number given is decimal, as long as it is terminating or repetitive decimal, it is rational. (Because then you can write it as a fraction which leads to the second point)
--------------------------------------------------------------
0.35217534
It is a terminating decimal, which fits the third point.
So it is rational.Hope this helps!! :)
3x + 2y + -2x + 8y pls help
x+10y
Step-by-step explanation:3x+2y+(-2x)+8y
First of all you cannot substitute x with y, so what u do u make the numbers with the same letters they have,and I put -2x because + & - equals to -(minus) :-
3x-2x+2y+8y= x+10y
I don't add 1 to x coze when x alone stands for 1, I added +10y because both the y equations had + they were positive so I add a +.
Hope it helpsWhat category does -1/3 belong in? (Select all that apply) Rational Number Rational Number Integer Number Integer Number Natural Number Natural Number Whole Number
Answer:
1/3 is a rational number
Step-by-step explanation:
(4a - 6) (30-26 +5)
Answer:
36a-54
Step-by-step explanation:
(4a - 6) (30-26 +5)
(4a - 6) (9)
36a-54
plz mark as brainliest if it helps
Witch statment describes a unit rate 1 sara ate 1 cookie 2 sara is driving 16 miles 3 sara is driving 30miles per hour 4 sara ate three crackers and 1 apple
Answer:
3; Sara is driving 30 miles per hour
Step-by-step explanation:
Here in this question, we want to select which of the options represent what a unit rate is.
When we talk of rate, we are referring to how a particular measured entity is changing in relation to another measured entity. Hence, we are simply looking at how there is a change between two measurable quantities.
Option 1 is not rate, it only tells us Sara ate 1 cookie. How Sara did this, we do not know, whether fast or slow
Option 2 is just measuring distance. We only know that Sara traveled a particular distance. We do not know how fast, or slow this has occurred
Option 3 is our answer. It clearly tells us how the distance Sara is traveling is measured against time
Option 4 is not correct, we only know the number of crackers and apples are, the rate at which this is done, we do not know