Answers
Option a is correct. f(x) has an inverse function because its graph passes the horizontal line test.
An inverse function is a function that serves to undo another function. That is, if f(x) produces y, then putting y into the inverse of f produces the output x.
From the graph we can see that the horizontal lines intersect less than 2 points, this shows that the f(x) has an inverse.
From the graph, it gets to know.
Hence from the given graph we get to know that f(x) is the inverse function.
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Related Questions
What is this number sequence called?
7, 22, 11, 34, 17, 52, 26, 13 and so on.
Answers
The numbers 7, 22, 11, 34, 17, 52, 26, 13 and so on represent hailstone sequence.
What is a hailstone sequence?These patterns are referred to as hailstone sequences because the values frequently rise and fall, resembling a hailstone inside a cloud.
It should be noted that such numbers can either rise or fall.
Therefore, the numbers 7, 22, 11, 34, 17, 52, 26, 13 and so ob represent hailstone sequence.
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A student showed their work when dividing fractions. Explain their errors and find the correct solution!
6 \ 3/4=6/1x3/4
=18/4
4 2/4 or 4 1/2
Answers
The correct solution of division fractions is 18/4.
What is division?Multiplication is the opposite of division. If 3 groups of 4 add up to 12, then 12 divided into 3 groups of equal size results in 4 in each group. The primary objective of division is to count the number of equal groups that are created or the number of individuals in each group after a fair distribution.
When describing how much of anything is left over, a fraction is used. It represents the appropriate parts of the totality. A fraction is made up of two parts: the numerator and the denominator
Given that,
The division fraction is 6× 3/4
So, the fraction is 6/1×3/4
Therefore, the division fraction is 4×2/4 or 18/4
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Write as a
14/11
as a decimal.
0 0.36
0.36
0.036
O 0.36
Answers
Answer:
Step-by-step explanation:
divide 14 by 11
which is 0.36
write an equivalent expression
Answers
Answer:
[tex]3^{-9}[/tex]or [tex]\frac{1}{3^{9} }[/tex]
Step-by-step explanation:
3^3/3^12 = 3^3 * 3^(-12) = 3 ^(3-12) = 3^(-9) or 1/3^9
Find the length of FH
Answers
Step by step
H = 3 1/2
F = - 1
Subtract point F from point H
3 1/2 - (-1) = 4 1/2
Problem solved
Determine the slope & y-intercept
5y-7x=9
Answers
Y can not be determined
Y can not be determined
3. Mai realizes that each day her checking account is below zero, she is charged a
late fee of $5.75 per day. She realizes that she will not be paid until 10 days from
now. What will the balance of the account equal on the 10th day? Show your work.
Answers
the balance in the account at the 10th day will be equal to - $ 57.5.
Late fee for 1 day = $ 5.75
Number of days = 10
We will calculate the late fees for 10 days by using the operation of multiplication.
So, late fee will be:
Late fees = 10 × $ 5.75
Late fees = $ 57.5
Balance in the account at the 10th day = 0 - Late fees
Balance in the account at the 10th day = 0 - $ 57.5
Balance in the account at the 10th day = - $ 57.5
Therefore, the balance in the account at the 10th day will be equal to - $ 57.5.
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Simplify to create an equivalent expression.
\qquad{2(3y+6)-3(-4-y)}2(3y+6)−3(−4−y)2, left parenthesis, 3, y, plus, 6, right parenthesis, minus, 3, left parenthesis, minus, 4, minus, y, right parenthesis
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
9y9y9, y
(Choice B)
B
5y+245y+245, y, plus, 24
(Choice C)
C
9y-249y−249, y, minus, 24
(Choice D)
D
9y+249y+24
Answers
The generated equivalent expression is 9y + 24. So, the correct answer is option D.
What is an expression?
An expression can be defined as the combination of variables and constants with two or more operations applied on it. The operation can be addition, subtraction, multiplication and division.
Simplifying to generate an equivalent expression
The given expression is 2(3y + 6) - 3(- 4 - y)
= 2(3y + 6) + 3(4 + y)
= 6y + 12 + 12 + 3y
= 6y + 3y + 24
= 9y + 24
Hence, the generated equivalent expression is 9y + 24.
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Bill is buying several bottles of pop for a party. They each cost the same amount.
If Bill can buy 4 bottles for $7.16, how many bottles could he buy for $10.74?
Answers
Answer:
6
Step-by-step explanation:
First, divide 7.16 by 4 to find the price of one bottle, which is 1.79. Then, divide 10.74 by 1.79 to get 6.
f(x)=8x+2, evaluate f(6)
Answers
Answer:
50
Step-by-step explanation:
The answer is 50 because f(6) basically means to substitute 6 for x.
8(6)+2
48+2
50
So the evaluation of f(6) is 50
What is the lowest form of this fraction 48/100
Answers
Answer:
12/25
Step-by-step explanation:
you have to start by reducing it by the lowest divisible numbers gradually till you get a fraction that cannot be divisible again.
start with two
48/100 = 24/50 = 12/ 25
12/25 cant be divided by any other number ahain therefore that's your final answer.
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10=7-m
Do I minus by 10 on each side or do I add minus by 7?
Answers
Answer:
[tex] \sf \large{m=−3}[/tex]
Step-by-step explanation:
Let's solve your equation step-by-step.
10=7−m
Step 1: Simplify both sides of the equation.
10=7−m
10=7+−m
10=−m+7
Step 2: Flip the equation.
−m+7=10
Step 3: Subtract 7 from both sides.
−m+7−7=10−7
−m=3
Step 4: Divide both sides by -1.
−m/−1= 3/−1
m=−3
The phone company Ringular has a monthly cellular plan where a customer pays a flat monthly fee and then a certain amount of money per minute used on the phone. If a customer uses 500 minutes, the monthly cost will be $132. If the customer uses 700 minutes, the monthly cost will be $172.
A) Find an equation in the form
y=mx+b
where
x
is the number of monthly minutes used and
y
is the total monthly of the Ringular plan.
Answers
The equation in the form y = mx + b is as follows:
y = 1 / 5 x + 32
How to represent a linear equation?The customer uses 500 minutes, the monthly cost will be $132. If the customer uses 700 minutes, the monthly cost will be $172.
Using linear equation in slope intercept form,
y = mx + b
where
m = slopeb = y-interceptHence,
x = the number of monthly minutes used
y = the total monthly of the Ringular plan
Therefore, the equation in slope intercept form can be represented as follows:
(500, 132)(700, 172)
let's find the slope,
m = 172 - 132 / 700 - 500
m = 40 / 200
m = 4 / 20
m = 1 / 5
Hence,
y = 1 / 5x + b
using (500, 132) let's find the y-intercept
132 = 1 / 5 (500) + b
132 = 100 + b
b = 132 - 100
b = 32
Therefore, the equation in the form y = mx + b is as follows:
y = 1 / 5 x + 32
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A 500 kg car heads through a loop with a 20 m radius. At the top of the loop, the car is moving at 14 m/s. If air resistance is negligible, what would the car's velocity be at the bottom of the loop?
Answers
The speed of the car at the bottom of the loop is approximately 31.3 m/s
How can the velocity at the bottom of the loop be calculated?The given parameters are;
Mass of the car = 500 kg
Radius of the loop = 20 meters
Velocity of the car at the top of the loop = 14 m/s
The kinetic energy at the top of the loop is therefore;
K E. = 0.5×500×14² = 49,000
The potential energy gained = 500×9.81×40 = 196200
Total energy = 49,000 + 196,200 = 245,200
The velocity at the bottom is therefore;
0.5×500×v² = 245,200
v² = 245,200 ÷ (0.5×500) = 980.8
v = √(980.8) ≈ 31.3
The velocity at the bottom of the loop is therefore;
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Which of the following best represents the
rate of change of this function?
A -1/2
B 1/2
C 2
D -2
Answers
Answer:
Step-by-step explanation:
Need more clarification! Which function?
given g(x) is ...............
Answers
Answer:
-40
Step-by-step explanation:
It states with g(-2) that x = -2, so we can plug -2 for x.
g(x) = 3x^3 - 2x^2 + 4x
g(x) = 3(-2)^3 - 2(-2)^2 + 4(-2)
g(x) = 3(-8) - 2(4) + 4(-2)
g(x) = -24 - 8 - 8
g(x) = -40
please answer as soon as possible
Three angles add up to 180 degrees, angle one has a measure of 4x+8, angle two has a measure of 8x+3 and angle three has a measure of 9x+3.
Given that the sum of the angles is 180 degrees, what is the measure of angle one? Round your answer to the hundredths place IE 79.50.
Answers
Answer:
39.60°
Step-by-step explanation:
The sum of three angles is 180 degrees.
Show this as equation and solve for x:
4x + 8 + 8x + 3 + 9x + 3 = 18021x + 14 = 18021x = 166x = 166/21x = 7.90 (rounded)Angle one is:
4*7.90 + 8 = 39.60
Bre'Aujanaye operates a flower shop in Paris. All employee can take orders, sell flowers, make arrangements, and commit the store to large orders for weddings, banquets, and
special events. Why type of organization does Bre'Aujanaye have?
Answers
The type of market in which all employee can take orders, sell flowers, make arrangements, and commit the store to large orders for weddings, banquets, and special events is Oligopoly.
What is Oligopoly?An oligopoly is a market characterized by a small number of firms who realize they are interdependent in their pricing and output policies. The number of firms is small enough to give each firm some market power.
Given situation:
All employee can take orders, sell flowers, make arrangements, and commit the store to large orders for weddings, banquets, and special events.
As, A market structure known as an oligopoly occurs when a few large sellers or manufacturers control a sizable portion of a market or an entire sector.
Oligopolies are frequently the outcome of corporate collaboration as a way to increase profits.
Some examples of oligopolies include the car industry, petrol retail, pharmaceutical industry, coffee shop retail, and airlines.
So, as discussed in the given case employee can take orders, sell flowers, make arrangements, and commit the store to large orders for weddings, banquets, and special events to make some profit.
Hence, The type of market is Oligopoly.
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What is the product of additive inverse of -1/3 and multiplicative inverse of 5/3
Answers
Answer: 1/3 and 3/5
Step-by-step explanation:
Determine the total number of roots of each polynomial function.
g(x) = (x - 5)2 + 2x3
Answers
6
g(x) = 5x-12×2 + 3
2
f (x) = (3x4 + 1)2
8
g(x) = (x-5)2 + 2×3
3
What is the slope of the line passing through the points (-3, 4) and (2, - 1)?
Answers
Answer:
-1
Step-by-step explanation:
[tex]m= \frac{y2 - y1}{x2 - x1} [/tex]
put the values you will get your answer.
If l = √m-5 and m = 4n²-3, what is l when n = 2? What is n when l = 4?
Answers
what of disibility rules?
Use Order of Operations
mot to solve.
14+7 x 54 ÷6-7
Answers
14
+
7
⋅
54
6
−
7
1
4
+
7
⋅
5
4
6
−
7
14
+
378
6
−
7
1
4
+
3
7
8
6
−
7
Divide the numbers
14
+
378
6
−
7
1
4
+
3
7
8
6
−
7
14
+
63
−
7
1
4
+
6
3
−
7
Add the numbers 14
+
63
−
7
1
4
+
6
3
−
7=70
Identify all the pairs of parallel sides of each figure.
Answers
Answer:
2 on the 1st, 1 on the second, 3 on the third, 1 on the fourth
What is the difference between -5 and 3 on a number line
Answers
Answer:
8
Step-by-step explanation:
-5 is 5 units left of zero.
3 is 3 units right of zero.
The difference is 8.
a. What is m TVZ? Show your work.
3x
120°
T
R
v (2x+15)
(2x + 5)°
Answers
Answer:
95°
Step-by-step explanation:
You want the measure of angle TVZ, when adjacent angle (2x+5)° and its supplement (2x+15)° are given. The larger of these is a vertical angle with respect to TVZ.
Linear pairThe angles marked (2x+15)° and (2x+5)° are a linear pair, hence supplementary.
((2x+15)° +(2x+5)° = 180°
4x +20 = 180 . . . . simplify
x +5 = 45 . . . . . . . divide by 4
x = 40 . . . . . subtract 5
Angle TVZ is a vertical angle with respect to the one marked (2x+15)°, so has the same measure:
∠TVZ = (2(40)+15)°
∠TVZ = 95°
__
Alternate solution
The two angles RVW (2x+15)° and ZVW (2x+5)° obviously differ by 10°. They are a linear pair, so their sum is 180°. Finding these angles is then a "sum and difference" problem. The larger of the solutions is the one we want, as (2x+15)° is a vertical angle to TVZ. We know the larger of the solutions to the sum and difference problem will be (180° +10°)/2 = 95°, the measure of TVZ.
More about sum and difference problems:
When a+b = s, and a-b = d, the larger value (a) can be found by adding these equations: (a+b) +(a-b) = s+d, or 2a = s+d, or a = (s+d)/2. This is the expression we used above to find the larger of the two angles. (You notice it is not necessary to solve for x.)
need the domain and range!
Answers
Answer: Domain: [-1, 1]
Range: [-2, 3]
Step-by-step explanation:
Domain: The x-values go from -1 to 1 with x=-1 and x=1 included.
Range: The range starts at the vertex of the function which is y=-2 and goes up to y=3 where the graph is cut off by 2 points on y=3.
How many times larger is (1.064 x 101) than (7 x 10−1)?
0.152
15.2
6.58
7.448
Answers
How many times larger is (1.064 x 10^1) than (7 x 10^−1)
the answer is 15.2
Step-by-step explanation:
1.064 x 10^1 = 106.40 and 7 x 10^−1 = 0.7 and 106.40 is 15200% of 0.7
Answer:
is 15.2
Step-by-step explanation:
what’s the answer to this question
Answers
5. Estimate:
$53
X 4
+what do I add
Math
Answers
Example:
53+53+53+53=
212