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Given:
The graph of h(x) is the greed dashed line segment.
To find:
The endpoints of the function [tex]h^{-1}(x)[/tex].
Solution:
If (a,b) is the point on the graph of the function f(x), then (b,a) must be the point on the inverse function [tex]f^{-1}(x)[/tex]
From the given graph, it is clear that the endpoint of the line segment h(x) are (-8,1) and (3,-4).
So, the endpoints of the inverse function [tex]h^{-1}(x)[/tex] are (1,-8) and (-4,3).
Therefore, the endpoints of [tex]y=h^{-1}(x)[/tex] are (1,-8) and (-4,3), and the graph is shown below.
2(4+2x)≥5x+5 solve inequality
Answer:
x ≤ 3
Step-by-step explanation:
2(4+2x)≥5x+5
8+4x≥5x+5
4x-5x≥5-8
-x≥-3
x ≤ 3
[tex]\tt\displaystyle\2(4+2x)\geq 5x+5\\\\8+4x\geq 5x+5\\\\4x-5x\geq 5-8\\\\-x\geq -3\\\\x\leq 3 \\\\Answer: x\leq 3 \quad or \quad x\in(-\infty;3][/tex]
The force of gravity on an object varies directly with its mass. The constant of variation due to gravity is 32.2 feet per second squared. Which equation represents F, the force on an object due to gravity according to m, the object’s mass?
Answer:
f=x−32
Step-by-step explanation:
Subtract 3232 from both sides.
Answer:
f=32.2m
Step-by-step explanation:
got it right on edge
Tara looks up hotel room prices for a holiday.
A hotel has a 25% off sale on its prices.
A VAT charge of 20% must be added on at the end of the transaction after any discount.
If the regular price of a room is £90 per night, how much will Tara pay for 4 nights?
Answer:
Tara has to pay £324 for 4 nights
Step-by-step explanation:
Regular price of a room per night
= £90
Regular price of a room for 4 nights
= 90*4
= £360
Price of a room for 4 nights after discount
= 75% (360)
= 75/100 * 360 = 75 * 3.6
= £270
Price of the room after charging VAT
= 270 + 20%(270)
= 270 + 20/100 * 270
= 270 + 2 * 27
= 270 + 54
= £324
A scientist hopes to launch a weather balloon on one of the next three mornings. For each morning, there is a 40% chance of suitable weather. What is the probability that there will be at least one morning with suitable weather?
SOMEONE PLEASE HELP ME.
Answer:
118/125
Step-by-step explanation:
We can find first the probability that there isn’t suitable weather:
60/100 * 60/100 * 60/100 = 3/5 * 3/5 * 3/5 = 27/125
now we have just to do this operation
125/125 - 27/125 = 118/125
12 times 12 divided by 6
Answer:
24 , 12x12 = 144. , 144/6 =24
a box of candy contains 0.6 of pounds of caramels and 3.6 pounds of coconut what precent of the contents of the box
Answer:
We know that the box has:
0.6lb of caramels
3.6lb of coconut.
Then the total mass of candy in the box is:
0.6lb + 3.6lb = 4.2lb
This is the 100% of the box.
Now, we can write this as:
4.2lb = 100%
For example, if we want to know which percentage is caramels, we write the equation:
0.6lb = X
We want to find the value of X
Then we have two equations:
0.6lb = X
4.2lb = 100%
Let's take the quotient of these two equations:
(0.6lb/4.2lb) = X/100%
Now we can solve this for X:
(0.6lb/4.2lb)*100% = X = 14.3%
the caramels represent the 14.3% of the wheight of the box.
And for the coconut candy, we have the relation:
3.6lb = Y
Now let's do the same again, we start with the two equations:
3.6lb = Y
4.2lb = 100%
Take the quotient:
(3.6lb/4.2lb) = Y/100%
Solve for Y:
(3.6lb/4.2lb)*100% = Y = 85.7%
Now we found the percentage that represent each type of candy in the box.
Find the measure of the indicated angle
Answer:
Step-by-step explanation:
Because of the Isosceles Triangle Theorem, the angles across from the congruent sides will be congruent. That means that the angle x also measures 42 degrees.
A single equation representing both lines x+y=0 and x+2y = 0 is ?
Answer:
The single equation is [tex]y = 0[/tex]
Step-by-step explanation:
We are given the following system of equations:
[tex]x + y = 0[/tex]
[tex]x + 2y = 0[/tex]
From the first equation:
[tex]x = -y[/tex]
Replacing in the second equation:
[tex]-y + 2y = 0[/tex]
[tex]y = 0[/tex]
The single equation is [tex]y = 0[/tex]
Help me?
185/100 + 50% + 4%=?
Answer:
2.39
Step-by-step explanation:
Convert everything to a decimal.
To do that with a fraction divide the numerator by the denominator.
185 divided by 100 = 1.85
185/100 = 1.85
To convert a percent to a decimal divide the number by 100.
50 divided by 100 = 0.5
50/100 = 0.5
4 divided by 100 = 0.04
4/100 = 0.04
Now add:
1.85 + 0.5 + 0.04 = 2.39
Which table of values corresponds to the graph below?
Answer:
Step-by-step explanation:
No Graph
Evaluate the expression,
32 +6*22-42=23
Answer:
d
Step-by-step explanation:
Plz help me.
I WILL GIVE BRAINLY
Answer:
p = T - a - b
Step-by-step explanation:
T = a + p + b
p = T - a - b
What is the value of x? 160° 51°
Answer:
51= 1/2(160-x)
102=160-x
x=160-102=58
Step-by-step explanation:
Hello Freinds
Pls answer
1 micron is equal to ?
the right answer will be marked as brainlist! ✌
Answer:
Step-by-step explanation:
1 micron = 1 * [tex]10^{-3} \ milli meter = \frac{1}{1000} \ millemeter[/tex]
1 micron = 0.00003937 inches
Answer:
hello good morning ✌☺
I hope you are fine ❗
its may help you !!!!¡¡¡¡¡¡¿¿¿¿¿¿♤♤♤
llxXKHaNZaDaXxll 《《~_^)⌐╦╦═─
10.) This week, you worked shifts that were 6 hours, 5 hours,
74 hours, and 4 hours. What was your average shift length this
week, expressed as a decimal?
Answer:
The average would be 22.25
Step-by-step explanation:
Average = [tex]\frac{sum}{count }[/tex]
6+5+74+4= 89
there are four numbers
[tex]\frac{89}{4}[/tex]=22.25
Select "equivalent" or "not equivalent" to indicate whether the expression above is equivalent or not equivalent to the values or expressions in the last column.
Answer:
equivalent
Step-by-step explanation:
someone help me with my algebra homework please
Answer:
(8,2.40)
Step-by-step explanation:
Which of the following square root of the following number below? Check all that apply. 361
Answer:
strangely worded question....
[tex]361^{1/2} = \sqrt{361}[/tex]
Step-by-step explanation:
=========================================================
Explanation:
Notice how (19)^2 = 19*19 = 361
This shows that 19 is a square root of 361. We can say [tex]\sqrt{361} = \sqrt{19^2} = 19[/tex]
Similarly, (-19)^2 = (-19)*(-19) = 361. The two negatives cancel each other out. So that's why there are two solutions to [tex]x^2 = 361[/tex] which are x = 19 and x = -19.
So far that accounts for answer choices B and D.
-------------------------------------------
The other two answers are [tex]-361^{1/2}[/tex] and [tex]361^{1/2}[/tex] (choices C and F) because anything to the 1/2 power represents a square root.
[tex]x^{1/2} = \sqrt{x}[/tex]
anything to the 1/3 power is a cube root
[tex]x^{1/3} = \sqrt[3]{x}[/tex]
anything to the 1/4 power is a fourth root
[tex]x^{1/4} = \sqrt[4]{x}[/tex]
and so on.
-------------------------------------------
Side note: For choice C, the exponent is done first before we apply the negative. So technically we could say [tex]-1*(361)^{1/2}[/tex] for choice C to mean the same exact thing. If your teacher said [tex](-361)^{1/2}[/tex] then this would not be an answer because this results in a non-real number.
Need help on this!!! 6 points!!!
Answer:
The Answer is 129
Step-by-step explanation:
We substitute x + 3 for X in F(x):
f(g(x)) = (x + 3)^3 +4
f(g(2)) = (2 + 3)^3 + 4
=125 + 4
=129
Type the correct answer in the box. If necessary, use / for the fraction bar. Marilyn has 10 caramels, 12 mints, and 14 bars of dark chocolate in a bag. She picks three items from the bag without replacement. The exact probability that Marilyn picks a mint, then another mint, and finally a bar of dark chocolate is
Answer: 77 / 1785
Step-by-step explanation:
Number of caramels = 10
Number of mints = 12
Number of dark chocolate = 14
Total number = 36
Since it's without replacement, the exact probability that Marilyn picks a mint, then another mint, and finally a bar of dark chocolate will be:
= 12/36 × 11/35 × 14/34
= 1/3 × 11/35 × 7/17
= 77/1785
A photograph measures five inches wide and six inches long. The picture is enlarged to fit on a wall. If the new larger picture is 150 inches wide, how long is it?
a. 180 inches
b. 250 inches
c. 210 inches
d. 200 inches
Answer:
A. 180Step-by-step explanation:
5×6= 30
150+30
= 180
Answer:
a
Step-by-step explanation:
x/150=6/5
x=6/5×150=6×30=180 inches.
The volume of the sphere is
500
-n cubic units.
3
What is the value of x?
O4 units
O 5 units
O 8 units
O 10 units
Answer:5 units!
Step-by-step explanation:
.
The value of x will be 5 units for the sphere that has the volume of (500/3)π cubic units.
From the formula of the volume of sphere,
volume of sphere = 4/3 πr³
where, r is the radius
in our case,
volume = (500/3)π
radius = x
substituting the given values
(500/3)π = (4/3)π *x³
x³ = 125
x= 5 units
Therefore, the value of x will be 5 units.
Learn more about Volume here:
https://brainly.com/question/1578538
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Complete question:
The volume of the sphere is 500/3 π cubic units.
What is the value of x?
4 units
5 units
8 units
10 units
cho hàm số f(x), đồ thị hàm số y=f'(x) là đường cong trong hình bên: xét g(x)=F(2x)-4x. mệnh đề nào dưới đây đúng
Answer:
khgygygiugug
Step-by-step explanation:
El solar de Maria tiene forma rectangular los lados miden 36 cm y 40 cm ¿Cuántos metros cuadrados tiene el terreno? ¿Cuál es el perímetro del terreno?
Respuesta:
Área del rectángulo = 0.144m²
Perímetro del rectángulo = 1,52 m²
Explicación paso a paso:
Dado que el área del rectángulo = Largo * Ancho
Convertir cm a m
Los 36cm = los 0.36m
Los 40cm = los 0.4m
Sustituir;
Área del rectángulo = 0.36 * 0.4
Área del rectángulo = 0.144m²
Perímetro del rectángulo = 2 (L + W)
Perímetro del rectángulo = 2 (0.36 + 0.4)
Perímetro del rectángulo = 2 (0,76)
Perímetro del rectángulo = 1,52 m²
Can someone help me with this math homework please!
Answer:
#1: (B, D, E)
#2: (D) f(q) = 2q + 3
#3: (C) 1
#4: (B) f(5) = -1
#5: (A) - 8
Step-by-step explanation:
Question 1:
The number inside the parentheses is the input value, or x coordinate, and the output value (the number on the right side of the equal sign) is the y coordinate.
Use basic graph plotting skills to see if the x coordinate has a y coordinate value that's ON the graph line.
Question 2:
The variable "q" is our independent variable, also known as our x variable if you used the y = mx + b formula.
To rewrite 6q = 3s - 9 into function notation, you would solve for variable "s" using basic algebra:
6q = 3s - 9
6q + 9 = 3s
2q + 3 = s
s = 2q + 3 or f(q) = 2q + 3
Question 3:
The number inside the parentheses, -2, is the input value, or the x coordinate. Looking at the table, you can see that when you input -2, you get an ouput of 1.
Question 4:
Use the same process as Question 1.
Question 5:
The number inside the parentheses, 5, is the input value, or the x coordinate. Looking at the table, you can see that when you input 5, you get an ouput of -8.
Hope it helps (●'◡'●)
Answer:
1. (2), (4), (5)
2. (4l
3. (3)
4. (2)
5. (1)
Step-by-step explanation:
1.
g(0) = 0
g(-1) = 1
g(1) = 1
2.
since q is the independent variable s must be dependent on q and hence s must be equal to f(q)
6q = 3s - 9
3s = 6q + 9
s = 2q + 3
f(q) = 2q + 3
that is the last option
3.
= 1
4.
= -1
5.
= -8
Determine if the ordered pair (-1,-5) is a solution to the inequality y<_ -3/4x-1.
A.) No,because (-1,-5) is above the line
B.) Yes, because (-1,-5) is below the line
C.) No, because (-1,-5) is on the line
D.) Yes, because (-1,-5) is on the line
Answer:
the answer is B, comment if you need explanation
Step-by-step explanation:
I don't understand this xan somone help me
Answer:
f= h/G
Step-by-step explanation:
The question is asking you to solve for f, or derive an equation of f in terms of h and G. The simplest way to solve for f is to isolate it from other variables.
h=fG
Now divide both sides by G
h/G=f
And there you go you solved for f.
A pipe 11/15 liters of tub in 22/45 minutes what is its flow rate in terms of liters per minute
Answer:
3/2 liters/minute
Step-by-step explanation:
Divide 11/15 liters by 22/45 minutes:
11
------
15
-----------
22
-----
45
This is equivalent to:
11 45
----- * ----- = 3/2 (liters/min)
15 22
The flow rate of the pipe is 3/2 (or 1.5) litres per minute.
To calculate the flow rate of the pipe, we divide the volume of water (in litres) by the time taken (in minutes).
Given:
Volume of water = 11/15 liters
Time taken = 22/45 minutes
Flow rate = Volume / Time
Flow rate = (11/15) liters / (22/45) minutes
To divide by a fraction, we multiply by its reciprocal:
Flow rate = (11/15) x (45/22) liters/minutes
Simplifying the expression:
Flow rate = 495/330 litres/minutes
The fraction can be simplified further by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 165 in this case:
Flow rate = (495/165) / (330/165) litres/minutes
Flow rate = 3/2 liters/minutes
Therefore, the flow rate of the pipe is 3/2 (or 1.5) litres per minute.
To know more about expression follow
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WILL GIVE BRAINLIST!
What is the slope of the line graphed on the coordinate plane?
A graph with a line running through coordinates (0, 6) and coordinates (1, -2)
Work Shown:
Apply the slope formula
m = (y2-y1)/(x2-x1)
m = (-2-6)/(1-0)
m = -8/1
m = -8
The slope is -8
We can think of it like saying "go down 8 and move to the right 1 unit", since -8 = -8/1.
Put another way: slope = rise/run = -8/1
rise = -8 and run = 1.
Answer:
-8
it's easy just use the equation y2-y1 ÷ x2-x1