Answer:
These are all that apply
- The domain of h-1(x) is the rand of h(x)
- The x-coordinate of the x-intercept of h-1(x) is the y- coordinate of the y-intercept of h(x).
- The maximum of h(x) is the largest x-value of h-4(x).
Step-by-step explanation:
The correct statements describing the given functions are -
The domain of h⁻¹(x) is the range of h(x).The x-coordinate of the x-intercept of h⁻¹(x) is the y- coordinate of the y-intercept of h(x).The maximum of h(x) is the largest x-value of h⁻¹(x).What is function?A function is a relation between a dependent and independent variable. We can write the examples of functions as -
y = f(x) = ax + b
y = f(x, y, z) = ax + by + cz
Given are the functions. It is asked to identify the statements that describe these functions.
The given functions are h(x) and its inverse h⁻¹(x). For the given functions, as we can see in the table, the following statements are true -
The domain of h⁻¹(x) is the range of h(x).The x-coordinate of the x-intercept of h⁻¹(x) is the y- coordinate of the y-intercept of h(x).The maximum of h(x) is the largest x-value of h⁻¹(x).Therefore, the correct statements describing the given functions are -
The domain of h⁻¹(x) is the range of h(x).The x-coordinate of the x-intercept of h⁻¹(x) is the y- coordinate of the y-intercept of h(x).The maximum of h(x) is the largest x-value of h⁻¹(x).To solve more questions on functions, visit the link below-
https://brainly.com/question/30194223
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Which of the following shows the prime factorization of 200 using exponential notation?
Answer:
The prime factorization of 200 using exponential notation is [tex]2^{3}\times 5^{2}[/tex].
Step-by-step explanation:
First, we decompose the number given on statement by applying prime numbers in ascending order. We see that 200 is an even number, therefore, we infer that smallest prime number within is 2.
1) [tex]\frac{200}{2} = 100[/tex] (Even number)
2) [tex]\frac{100}{2} = 50[/tex] (Even number)
3) [tex]\frac{50}{2} = 25[/tex] (Even number)
4) [tex]\frac{25}{5} = 5[/tex] (Odd number, not a multiple of 3, but a multiple of 5 since last digit is 5)
5) [tex]\frac{5}{5} = 1[/tex] (Odd number, not a multiple of 3, but a multiple of 5 since last digit is 5)
Now, we construct the prime factorization using exponential notation:
[tex]200 = 2^{3}\times 5^{2}[/tex]
The prime factorization of 200 using exponential notation is [tex]2^{3}\times 5^{2}[/tex].
Answer:
2 * 3 * 5
Step-by-step explanation:
made a 100 on the text trust!!!!!
Sandy spent 1/3 of her money on a blouse, 1/4 of the remainder on food and $4 on a pen. If she had $20 left, how much money did she have at first?
A.$48
B.$56
C.$72
D.$144
which of the following doesn't describe a point?
Answer:
It has infinite length, but no width and no thickness (It describes a Line )
Hope it helps...
Have a great day :P
Isaiah decided to build a fence around his property. He lives on a rectangular lot 70 feet long and 50 feet wide. How many feet of fence does he need to buy?
Answer:250 feet
Step-by-step explanation: a rectangle has four sides, now you have two numbers, 70 and 50. so you do 4÷2 = 2 now take 2 a multiply it 70(140) now do it with 50(100) now add em (250) it is how i do it
The scatterplot above shows the number of hits and the
number of times at bat by each of 20 players on a major
league baseball team. The line of best fit for the data is
also shown.
For the player with 450 times at bat, the actual
number of hits the player had is approximately how
many fewer than the number of hits predicted by the
line of best fit?
A) 10
B) 20
C) 30
D) 10
The actual number of hits the player had is approximately 10 fewer than the number of hits predicted by the line of best fit
How to interpret the scatter plot?From the complete question, we have the following highlight:
The blue line is the predicted number of hitsThe red line is the actual number of hits.From the graph, we have the following readings at x = 450
Actual readings y = 123 Predicted readings y = 113Calculate the difference
d = 123 - 113
Evaluate the difference
d = 10
Hence, the actual number of hits the player had is approximately 10 fewer than the number of hits predicted by the line of best fit
Read more about lines of best fit at:
https://brainly.com/question/17261411
can some pals help me
Answer:
1/8th of a foot
Step-by-step explanation:
All you have to do is divide the 5 feet by how ever many sections there are in this case it's 8.
5 / 8 = 0.625 = 1/8
Find the equation of the line
Use exact numbers
Thank you in advance!
Answer:
the answer is 3/6 cause you go up 3 and over 6
Help me answer this for brainliest
Answer:
question 1(2)
answer 4
question 2(3)
answer 1
question 3(4)
(a)6; factored
(b)7; factored
c(8); factored
please help me!! thank youu!!!
Answer:
24
Step-by-step explanation:
Area of a triangle
A = 1/2 bh
b=12
h=4
A= 1/2 * 12 * 4
A = 24
Which graph shows that y varies directly as x?
Answer:
Step-by-step explanation:
please help!!!!!!!!!!!!!!!!
Answer:
B
Step-by-step explanation:
if half of the trail mix is split in to 4, let's say the same for the other half. then there will be 8 bags.
A Hertz Rent-a Car is a car agency charges $40 for one day plus $0.10 per mile to rent a full size car. Enterprise Rent-A-Car charges $18 for one day plus $0.20 cents per mile to rent the same car. How many miles could you drive in one day that would result in the final bill to be the same from both companies?
Answer: 220 miles
Step-by-step explanation:
Let's write the equations for each case:
A Hertz Rent-a Car:
Charges a fixed amount of $40, plus a $0.10 per mile.
Then if you drive x miles, we get a total cost of:
C(x) = $40 + $0.10*x
Enterprise Rent-A-Car:
Chares a fixed amount of $18 plus $0.20 per mile, so if you drive x miles, the cost is:
K(x) = $18 + $0.20*x
Now, we want to find how many miles you can drive such that you would pay the same in both companies.
Then we need to find x such that:
C(x) = K(x)
$40 + $0.10*x = $18 + $0.20*x
Let's solve this for x.
$40 - $18 = $0.20*x - $0.10*x
$22 = ($0.20 - $0.10)*x
$22 = $0.10*x
$22/$0.10 = x
220 = x
So if you drive exactly 220 miles, you would pay the same in both companies.
Simplify the sum. (8u^3+8u^2+6)+(4u^3-6u+3)
Answer:
[tex]\boxed{12u^3+8u^2-6u+9}[/tex]
Step-by-step explanation:
[tex](8u^3+8u^2+6)+(4u^3-6u+3) = 8u^3+8u^2+6+4u^3-6u+3[/tex]
Once
[tex]8x+4x = 12x, \text{ as } x = u^3[/tex]
[tex]8u^3+8u^2+6+4u^3-6u+3 = 12u^3+8u^2+6-6u+3 = \boxed{12u^3+8u^2-6u+9}[/tex]
You don't need to factor.
a group of preschoolers has 31 boys and 37 girls. What is the ratio of girls to boys
Answer:
37:31 or any other way of writing 37 to 31
Step-by-step explanation:
Write the ratio the same way the question asks, there are 37 girls and 31 boys. This cannot be simplified.
If anyone could help with this
Tell weather the angles are complementary or supplementary. The. Find the value of x. WITH EXPLANATION
5/8 plus 1/16 simplified
The average price of a two-bedroom apartment in the uptown area of a prominent American city during the real estate boom from 1994 to 2004 can be approximated by p(t) = 0.12e0.10t million dollars (0 ≤ t ≤ 10) where t is time in years (t = 0 represents 1994). What was the average price of a two-bedroom apartment in this uptown area in 2002, and how fast was the price increasing? (Round your answers to two significant digits.)
Answer:
Step-by-step explanation:
Average price of a two bedroom apartment can be approximated by the equation,
p(t) = [tex]0.12e^{0.10t}[/tex]
Here, t represents the duration from year 1994.
Duration from year 1994 to year 2004 = 10 years
p(10) = [tex]0.12e^{0.10\times 10}[/tex]
= 0.12e
= 0.3262
≈ 0.33 million
Cost of the apartment in 2004 was 0.33 million.
Let the equation to calculate the rate of increase in the price is,
p(t) = [tex]0.12(1+\frac{r}{100})^t[/tex]
Cost of the apartment after 10 years = 0.33
0.33 = [tex]0.12(1+\frac{r}{100})^{10}[/tex]
[tex]\frac{0.33}{0.12}=(1+\frac{r}{100})^{10}[/tex]
2.75 = [tex](1+\frac{r}{100})^{10}[/tex]
[tex](1+\frac{r}{100})=(2.75)^{0.10}[/tex]
1 + [tex]\frac{r}{100}=1.106[/tex]
[tex]\frac{r}{100}=0.106[/tex]
r = 10.6%
Therefore, price of the apartment is increasing with 10.6%
Ben hires some buses to take 768 people to a football match. Each bus can take 56 people.
Ben hires the least number of buses needed to take all 768 people. Then 19 of the people decide not to go to the football match. Does Ben still need all the buses he has hired? You must show how you get your answer.
Answer:
yes, he still needs all the buses he hired
Step-by-step explanation:
768 people/56 people per bus = 13.71, so 14 buses
768 - 19 = 749 people going
749people/56 people per bus = 13.37, so still need 14 buses
Coach Abernathy has 12 boys in his class of 30 kids which of the following classes has a class that has the same proportion of boys to girls
Answer:
Step-by-step explanation:
7) Find 18th term of the arithmetic sequence:
{13, 8, 3, -2, -7, ...}
Tysm
13-8=5
8-5=3
3-5=-2
-2-5=-7
etc.
Just keep subtracting 5 until you have the 18th term
---
hope it helps
Answer:
-77
Step-by-step explanation:
Reasoning:
Every step is decreasing by 5, therefor you will do 13-5 18 times. this will get you -77
How many moles are in 9.03 x 1023 Li atoms?
please help me
Answer:
1.5 moles
Step-by-step explanation:
number of moles = no. of particles / Avagadro number
therefore, number of moles. = 9.033 * 10^23 / 6.022 * 10^23
therefore, no. of moles = 1.5
There are 1.5 moles in 9.033 * 10^23 Lithium atoms.
a village school starts at 8.30am and end at 3.45pm.how long is the school day
Answer:
7 hours and 15 minutes.
Step-by-step explanation:
Draw a timeline for this question.
8.30 + 7 hours = 3.30pm or 15 30
3.30 + 0.15 minutes = 3.45 or 15 45
7 hours + 0.15 minutes = 7 hours and 15 minutes.
i need help right now!!!!
Answer:
look at the picture i sent...........
Find the x and y for numbers 2 and. 3 thank you
Answer:
(0, 4 ) and (2, - 4 )
Step-by-step explanation:
(2)
3x + 4y = 16 → (1)
- 3x + 2y = 8 → (2)
Adding (1) and (2) term by term will eliminate the x- term
0 + 6y = 24
6y = 24 ( divide both sides by 6 )
y = 4
Substitute y = 4 into either of the 2 equations and solve for x
Substituting into (1)
3x + 4(4) = 16
3x + 16 = 16 ( subtract 16 from both sides )
3x = 0 , then
x = 0
solution is (0, 4 )
(3)
2x - 4y = 20 → (1)
5x + 4y = - 6 → (2)
Adding (1) and (2) term by term will eliminate the y- term
7x + 0 = 14
7x = 14 ( divide both sides by 7 )
x = 2
Substitute x = 2 into either of the 2 equations and solve for y
Substituting into (2)
5(2) + 4y = - 6
10 + 4y = - 6 ( subtract 10 from both sides )
4y = - 16 ( divide both sides by 4 )
y = - 4
solution is (2, - 4 )
I have $8$ pieces of strawberry candy (all identical) and $7$ pieces of rhubarb candy (all identical). Find the number of ways I can distribute this candy to $5$ children.
This is a math question,
Please Solve Correctly.
Given:
Number of strawberry candy = [tex]\bold{8\ pieces}[/tex]
Number of rhubarb candy = [tex]\bold{7 \ pieces}[/tex]
Find the number of ways for equally distributing candy to all 5 children
Using formula:
[tex]\to \bold{_{n} C_{r}=\frac{n !}{r!(n-r) !}}[/tex]
Calculating the distributing way for strawberry candy:
[tex]\to \bold{_{8} C_{5}=\frac{8 !}{5!(8-5) !}}[/tex]
[tex]\bold{=\frac{8 !}{5! \ 3 !}}\\\\\bold{=\frac{8 \times 7 \times 6 \times 5!}{5! \ 3 \times 2\times 1}}\\\\\bold{=\frac{8 \times 7 \times 6 }{ 6}}\\\\\bold{=8 \times 7}\\\\\bold{=56}[/tex]
Calculating the distributing way for rhubarb candy:
[tex]\to \bold{_{7} C_{5}=\frac{7 !}{5!(7-5) !}}[/tex]
[tex]\bold{=\frac{7 !}{5! \ 2 !}}\\\\\bold{=\frac{7 \times 6 \times 5!}{5! \ 2\times 1}}\\\\\bold{=\frac{ 7 \times 6 }{ 2}}\\\\\bold{=7 \times 3}\\\\\bold{=21}[/tex]
Adding both distributing ways:
[tex]\to \bold{56+21=77}[/tex] ways
Learn more:
probability: brainly.com/question/23044118
I need help with this problem I'll give brainlist to whoever answers it right
4+2×3²-9
Answer:
The answer for 4+2×3²-9 is 13
Step-by-step explanation:
4+2×3²-9=13
Answer:
4+2×3-9 i think forgot
Step-by-step explanation:
PLEASE HEELP IM GIVING BRAINLIEST TO THE FIRST CORRECT ANSWER!!!
What is an equation of the line that passes through the point (3.-1) and has a slope of 2?
y = 2x + 5
y = 2x -1
y = 2x-4
y= 2x -7
Answer:
y = 2x - 1
Step-by-step explanation:
-1 is the y-intersect of the slope
What is 25 x 65 / 73?
25x65=1625
1625/73=22.26
A cone has a radius of 10 meters and a height of 5 meters. What is the volume of the cone to the nearest cubic meter? Use 3.14 for
Answer:
523.3
Step-by-step explanation:
The volume of a cone is 1/3 hB where h is the height and B is the area of the base.
Step 1: Find the area of the base (B). The base of a cone is a circle so use the formula pi*r^2. Plug in numbers. 3.14*10^2. 3.14*100=314
Step 2: Plug into the formula. 1/3(5*314) --> 1/3(1570)=523.3