Correct Question is:
Which statement could be used to explain why the function h(x) = x3 has an inverse relation that is also a function?
1. The graph of h(x) passes the vertical line test.
2. The graph of the inverse of h(x) is a vertical line.
3. The graph of the inverse of h(x) passes the horizontal line test.
4. The graph of h(x) passes the horizontal line test.
Step-by-step explanation:
Answer is Option 2: The graph of the inverse of h(x) is a vertical line.
A given expression in x i.e. y = f(x) will be a function if and only if there exists only one value of y that is true for every value of x. We will do the vertical line test for verification if the inverse of a function is a
If we plot f(x) and draw a straight line parallel to y-axis from a point x belonging to its domain and this line meets the curve at only one point then f(x) will be a function. This test is called vertical line test.
So if the graph of inverse of h(x) passes the vertical line test then the inverse of h(x) is also a function.
Sally works for 38 hours per week. Her weekly wage is £355.68
She receives a pay increase of 23p per hour.
Work out her new weekly wage.
Answer:
£364.42
Step-by-step explanation:
£355.68 ÷ 38 hours = £9.36 per hour
£9.36 + £0.23 = £9.59 per hour
£9.59 * 38 = £364.42
A ball is dropped from a height of 64 feet. Its height, in feet, can be modeled by the function h(t) = -16t2 + 64, where t is the time in seconds since the ball was dropped. A. After how many seconds will the ball hit the ground? B. What is a reasonable domain and range for this function?
Answer:
See solution below
Step-by-step explanation:
The ball will hit the ground at whrn t = 0
Given the height of the ball modeled by the expression
h(t) = -16t^2 + 64
0 = -16t^2 + 64
16t^2 = 64
t^2 = 64/16
t^2 = 4
t = 2sec
The ball will hit the ground 2secs after
The domain are the values of the input values t and this values start from 2 and greater. Hence the domain of the function is {2, ∞}
when t = 2
h (2) = -16(2)^2 + 64
h(2) = -64+64
h(2) = 0
Hence the range are the output values i.e the height.
The range are within the range {0, ∞}
Plz, answer this question plz!
What is the image point of (2,-5)(2,−5) after a translation right 4 units and up 3 units?
Answer:
(5,-1)
(5,-1)
Im pretty sure
I NEED HELP ON THIS QUESTION ASAP!!!
Answer: The answer is 1 1/6
Step-by-step explanation:
The measure of ∠BCF is 60°, and the measure of ∠FCG is 35°. Which equation can you use to find the measure of ∠BCG? A. 60° + 35° = x B. 60° – 35° = x C. 60° + x = 35° D. 35° + x = 60° Part D The measure of ∠BCF is 60°, and the measure of ∠FCG is 35°. What is the measure of ∠BCG? Enter your answer in the box.
Answer:
60° + 35° = x
Step-by-step explanation:
The line CG is cutting the angle m<BCG to have m<BCF and m<FCG. Hence;
m<BCG = m<BCF + m<FCG
Given the following
∠BCF = 60°
∠FCG = 35°
Substitute
m<BCG = m<BCF + m<FCG
m<BCG = 60°+35°
hence the required expression is 60° + 35° = x where m<BCG is x
he output is five less than triple the input
Find the unit rate.
15 plants in 5 rows = BLANK plants per row
Answer:
3 is the unit rate
Step-by-step explanation:
15/3 is 3 which is your individual value per row.
Ryan has a 28 foot board. He needs to cut it into 24 equal length parts. How long should each section of the board be?
Answer:
1.17 feet
Step-by-step explanation:
28 ÷ 24 = 1.16666666667
round that and you get 1.17
Is 2/3 bigger that 4/7?
First, convert. Least common multiple of 3 and 7 is 21.
2x7=14 3x7=21.
4x3=12 7x3=21.
The new fractions are 14/21 and 12/21.
Which is bigger?
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hope it helps
Identify the Property:
2(x + 6)
Commutative Property
Identity Property
Distributive Property
WILL GIVE BRAINLY
Answer:
its in a graph?
Step-by-step explanation:
Can anyone help? 110 degrees ,41 degrees , 40 degrees, x?
Answer:
11°
Step-by-step explanation:
This is hard to explain because they don't have names lol
So looking at the larger main triangle...
the top angle is composed of two angles measuring 40° and 41°. So it is equal to 81°.
The angle on the lower left side is a supplimentary angle with the one that measures 110°. The two of them combined make a line. A straight line is 180°, so that angle is 70°. (180 - 110)
The final angle in the triangle is accross from x. This makes them a pair of vertical angles, so therefore congruent.
The angles of a triangle add up to 180°
We already know the other two angles so 180 - 81 - 70 = 11°
so x is also 11°
Through:(2,-5),slope=3/2
Please help!!!
I will mark you brainliest for the correct answer.
Please!!!!
Answer:
60°
Step-by-step explanation:
A straight line is 180°
<5 is 120°
180°-120°=60°
Please help me! No it doesn’t give me the numbers or the volume. If you help I will mark Brainliest!
The volume = LBH = x²y
.°. If a pyramid and a prism have the same base and height, their volumes are always in the ratio of 1/3xVolume of prism.
The volume of Pyramid = 1/3*x²y
h = 3 *1/3x²y/x²
h = 3*1/3x²y*1/x²
h = 3*1/3y
h= yThe length of a rectangular driveway is 3 times its width. If the length is 7 % yards, find
the length of the driveway and the area of the driveway.
Answer:
3 x 7 and 1/6 = 21 and 1/126
Step-by-step explanation:
your going to multiply 3x7 then you get 21 then you multiply by 1/6 and there you go.
what happened to the tutor option :(
Answer: wym
Step-by-step explanation:
Please help. Explanation would help :)
Answer:
Step-by-step explanation:
- 50 + (5 / 13)p this says negative 50 plus 5/13 times p
if p = -26 what does this epression evaluate to?
- 50 + (5 / 13) × p p = -26 substitute the value of p into the expression
- 50 + (5 / 13) × (-26)
- 50 + (5 (-26) / 13) I just rewrote the expression to make it clearer
that the -26 in -26/1 and the 5 in 5 / 13 are
both in the numerator over denominator 13
- 50 + (5 (-26) / 13) -26 / 13 evaluates to -2
-50 + (5)(-2)
-50 + (-10)
-50 - 10
-60
Compare 6*10^5 and 3*10^4
Answer: 6*10^5 > 3*10^4
Step-by-step explanation:
6*10^5 = 600000
3*10^4 = 30000
A family wants to enclose a rectangular playground for their toddler with an area of 24 square yards. The length of the garden is to be 5 yards more than its width. What should the dimensions of the playground be?
Answer:
3 × 8 yards
Explanation:
possible lengths & widths for the given area of 24 square yards:
1 and 24, 2 and 12, 3 and 8, 4 and 6
of these four options, only 3 and 8 fit the requirement of the length of the garden being 5 yards more than the width of the garden. thus, the answer is 3 × 8 yards.
i hope this helps! :D
Please help on this!
Answer:
18cm,21cm,27cm
Step-by-step explanation:
explanation in picture
PLease help me. YOu'll get 10 points.\
Answer:
Option D is your answer . If I'm right so,
Please mark me as brainliest. thanks!!!
Jack is building a square garden. Each side length measures 777 meters. Jack multiplies 7\times77×77, times, 7 to find the amount of space in his garden is equal to 494949 square meters. Which measurement does 494949 square meters represent? Choose 1 answer: Choose 1 answer: (Choice A) A Area (Choice B, Checked) B Perimeter (Choice C) C Length Stuck?Use a hint.
Answer:
The answer is choice A that is "Area".
Step-by-step explanation:
According to the area of the square [tex](A)= side^2[/tex]
Given side =7
So, the area= [tex]7^2= 7 \times 7=49[/tex]
Please help this is geometry external angle theorem!! Will give BRAINLIST
please help me asap.
Answer:
21
Step-by-step explanation:
Yes I am here to help
ellie wanted to order candy online. company A us offering 2 1/2 pounds of chocolate for $32.50; while company B is offering 2 3/4 pounds of the same chocolate for $35.00. what is the unit price for company A? (please include units) what is the unit price for company B? which company is offering the lowest price per pound?
Answer:
Company A = $13
Company B = $12.73
Company B
Step-by-step explanation:
To determine the unit cost for each company, divide the price of chocolate by the number of pounds
Unit cost = price ÷ total pounds offered
Company A
$32.50 ÷ 2 1/2
$32.50 ÷ 5/2
$32.50 x 2/5 = $13
Company B
$35 ÷ 2 3/4
$35 ÷ 11/4
$35 X 4/11 = $12.73
$12.73 is less than $13. Company b has a lower price per pound
Help! Find the domain of the graph
Answer:
[-3,9]
Step-by-step explanation:
you look at the x axis
help me plz: An employer is paying an employee a salary of $35,500 a year. The employer promised to increase his/her salary by 2,750 per year. What will be the employee's salary by year 8?
Answer:
401(k) plan
Step-by-step explanation:
The employee earns $45/hour, with his employer paying 1.5 times the regular rate of pay for overtime hours. To date, he has earned $130,050 during the present year. He has requested that his employer withhold 8% of gross pay, which is to be contributed to a 401(k) plan. Taxable income for federal income tax withholding = $
$1,000 at 7.5% for 30 months
Step-by-step explanation:
principal=1000
rate=7.5
time=30 moths
interest= principal multiplied to rate multiplied to time by 100
which give 100multiplied to 7.t multiplied to 30 by 10p
which gives 22500by 100
which gives 225
amount= interest plus principal
= 225+1000
=1225
Lin and Kal's ages add up to 41 Lin is 5 years older than Kal. Use the equation from the to find their ages.
