How is the general shape of a cube root function different from the shape of a square root function?
Answers
Square root functions are in the shape of a parabola, like a giant U, while cube root functions are more wide and swiggly, like a stretched out S.
See :
The general shape of a cube root function is a "S" shape when graphed, while the general shape of a square root function is a "U" shape when graphed.
What is the cube root function?A cube root function is defined as f(x) = ∛x. It has a single value for each positive x and one value for each negative x, so it is defined for all real numbers. It has a vertical asymptote at x=0 and its graph is a reflection of the graph of f(x) = -∛x over the x-axis. It starts at -infinity as x approaches negative infinity, increases to zero as x approaches zero and then decreases to positive infinity as x approaches positive infinity.
A square root function is defined as f(x) = √x. It is defined for all non-negative x and it has a vertical asymptote at x=0. Its graph starts at zero as x approaches zero and increases to positive infinity as x approaches positive infinity.
In summary, the cube root function is defined for all real numbers and has a "S" shape while the square root function is defined for non-negative numbers and has a "U" shape.
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Related Questions
Paul leaves £4000 in the bank for two years. It earns compound interest of 5% per year. Calculate the totals amount Paul has in the bank at the end of the two years
Answers
Answer:
£4410
Step-by-step explanation:
Step one:
given data
Principal P= £4000
Rate= 5%= 0.05
time t= 2 years
Final amount A= ??
Required
The final amount
Step two:
The expression for the final amount of compound interest is
[tex]A= P(1+r)^t\\\\A=4000(1+0.05)^2\\\\A=4000(1.05)^2\\\\A=4000*1.1025[/tex]
A=£4410
categorize the graph as linear increasing linearly decreasing exponential growth or exponential...
Answers
Answer:
Choice C
Step-by-step explanation:
The line is a linear line because it's straight exponential lines are more like an arch.
Next the line is increasing because it's going up not down if it was down it would be decreasing.
C) Linear increasing is the category of the graph.
The line is a linear line because its straight exponential lines are more like an arch. Next, the line is increasing because it's going up not down if it was down it would be decreasing.
What is a linear increase in a graph?If a linear graph is growing then its gradient is superb, for the reason that while x will increase by using 1, y adjustments through an advantageous quantity. If a linear graph is lowering, the gradient is a terrible range.
The key difference between linear and exponential increases is the slope of the curves (this is, the rate of an exchange over the years). A linear boom function has an advantageous constant slope, while an exponential increase feature has a high-quality slope that is continually growing.
Despite the fact that you're probably really familiar with growth, any increase that reasons the output Y to be larger than the enter X is known as a non-linear boom. In standard, the outputs of human interest grow in a non-linear style.
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PLEASE HELP THE ANSWER HAS TO BE A INTEGER OR A DECIMAL.
Answers
Answer:
It's the same as the last one. The answer is -2.3
Step-by-step explanation:
what is the graph of 3x+5y=-15?
Answers
Answer:
Root: (-5,0)
Vertical Intercept: (0,-3)
m = -3/5
b = -3
Step-by-step explanation:
PLEASE HELP!!!!!!!
Points A and C are vertices of a cube with a side length of 2 cm, and B is the point of the intersection of the diagonals of one face of the cube, as shown below.
Determine the length of CB.
Answers
9514 1404 393
Answer:
CB = √6 cm
Step-by-step explanation:
The diagonal of a square is √2 times the edge length, so the length AB will be (1/2)√2(2 cm) = √2 cm.
Then the length CB is given by the Pythagorean theorem as ...
CB = √(AC^2 +AB^2) = √((2 cm)^2 + (√2 cm)^2) = √(4 +2) cm
CB = √6 cm
You spent $60 in supplies to sell shirts. You sell your shirts for $10
each. How many do you have to sell to make a profit?
Answers
Answer: Atleast 7
Step-by-step explanation:
In order to make a profit you have to amke more money than what you spent for supplies. So if each shirt is 10$ then you would have to sell atleast 7 shirts since if you do you will have made 70$, therefore a 10$ profit. If you sell 6 shirts, you make 60$, meaning you gain all your money back, but you do not make a profit.
the answer is 7
Step-by-step explanation:
7×10=70-60=10
Which of the options below show a pair of supplementary angles? Select all that apply.
A) 160°, 20°
B) 120°, 40°
C) 45°, 135°
D) 30°, 120°
Answers
Answer:
A and C
Step-by-step explanation:
A) 160 + 20 = 180
B) 120 + 40 = 160
C) 45 + 135 = 180
D) 30 + 120 = 150
All supplementary angles must add up to 180 degrees.
What is the first step to solve this equation?
2x + 3 = 13
Answers
Move all terms not containing
x
to the right side of the equation.
Tap for more steps...
2
x
=
16
Divide each term by
2
and simplify.
Tap for fewer steps...
Divide each term in
2
x
=
16
by
2
.
2
x
2
=
16
2
Cancel the common factor of
2
.
Tap for more steps...
x
=
16
2
Divide
16
by
2
.
x
=
8
Answer:
move the constant to the right 2x=13-3 subtract 2x =10 divided both sides by 2 x=5
Rewrite 18m - ( 2 + 3m ) without parentheses.
Answers
Answer:
15m−2
Step-by-step explanation:
Distribute the Negative Sign:
=18m + −1(2 + 3m)
=18m + (−1)(2) + −1(3m)
=18m + −2 + −3m
Combine Like Terms:
=18m + −2 + −3m
=(18m + −3m) + (−2)
=15m + −2
Express this number in scientific notation.
31 billion
Answers
Hope this helps
Answer:
3.1 * 10^10
Step-by-step explanation:
we know 1 billion is 1,000,000,000
In scientific notation
1,000,000,000=1 * 10^9
To find the value of 31 Billion
Multiply the value of one billion for 31
so
31 * 1 * 10^9 = 31 * 10^9
= 3.1 * 10^10
PLEASE HELP ASAP - SLOPE
Answers
A b=-1
D m= 1/2
Prove that if two crosses are equal, than each pair of crosses are equal.
Answers
If two crosses are equal then they’re gonna be equal.
Calvin bought 6 ties for $19.50 each and three shirts for $23.50 each. how much did he spend?
Answers
$23.50 x 3 = 70.5. Add those two together and it will be $187.5
JOE'S MOUNTAIN BIKE WEIGHS 7 POUNDS MORE THAN ANDY'S. IF THEIR BIKES WEIGH 45 POUNDS ALTOGETHER, HOW MUCH DOES JOE'S BIKE WEIGH?
Answers
Answer:
26
Step-by-step explanation:
45-7=38,
38/2= 19,
19+7=26
Please help 30 points
The number of lattes sold daily by two coffee shops is shown in the table.
Shop A Shop B
55 45
52 42
56 57
48 48
57 11
30 10
45 46
41 43
Based on these data, is it better to describe the centers of distribution in terms of the mean or the median? Explain.
Mean for both coffee shops because the data distribution is symmetric
Median for both coffee shops because the data distribution is not symmetric
Mean for shop B because the data distribution is symmetric; median for shop A because the data distribution is not symmetric
Mean for shop A because the data distribution is symmetric; median for shop B because the data distribution is not symmetric
Answers
Answer: correct option is mean for shop A because the data distribution is symmetric; median for shop B because the data distribution is not symmetric
Step-by-step explanation:
According to the given data the correct statement is Mean for shop A because the data distribution is symmetric; median for shop B because the data distribution is not symmetric.
Note that the two values of Shop B (10 and 11) are alot lower than the other values.
Thus the correct option is Mean for shop A and Median for shop B.
geometric sequence or whatever
How do I do this? Please give subtle explanation too. I don't really understand at all. If I understand this question, I'll understand the rest.
(it's 54 points too lol)
Answers
Step-by-step explanation:
An = -2 * An-1
What this means is that you multiply -2 to the term to get the next term.
Since our 1st term (A1) is -2, we have:
A2 = -2 * A1 = -2 * (-2) = 4,
A3 = -2 * A2 = -2 * (4) = -8,
A4 = -2 * A3 = -2 * (-8) = 16,
A5 = -2 * A4 = -2 * (16) = -32,
A6 = -2 * A5 = -2 * (-32) = 64.
Hence our first 6 terms in the GP are
-2, 4, -8, 16, -32 and 64.
Please ANSWER THE ANSWER HAS TO BE A INTEGER OR A DECIMAL.
Answers
Answer: 4.3
Step-by-step explanation: To find the range you have to subtract the highest number by the lowest number. So you'd subtract 2.6 by -1.7. And since -1.7 is already a negative number, it would get turned into a positive.
PLS HELP
What is the answer to the proportion you set up in the last problem? Type ONLY the number in the box
Answers
Answer:
4
Step-by-step explanation:
z = [tex]\frac{6}{15}[/tex] × 10
= 4
21. At Seaford Middle School the cafeteria serves ice cream sandwiches every 5 days and serves
pizza every 6 days. When will be the next day that they serve both ice cream sandwiches and pizza?
Answers
Answer:
on the 30th day
8. GradPoint question
Determine whether the given lengths can be sides of a right triangle. Which of the following are true statements?
A. The lengths 14, 24 and 26 cannot be sides of a right triangle. The lengths 30, 72, and 78 cannot be sides of a right triangle.
B. The lengths 14, 24 and 26 can be sides of a right triangle. The lengths 30, 72, and 78 can be sides of a right triangle.
C. The lengths 14, 24 and 26 can be sides of a right triangle. The lengths 30, 72, and 78 cannot be sides of a right triangle.
D. The lengths 14, 24 and 26 cannot be sides of a right triangle. The lengths 30, 72, and 78 can be sides of a right triangle.
Answers
Answer:
I'm sorry but I have no clue. Actually I think it's C.
Step-by-step explanation:
Which expressions are equivalent?
a. 1/5k-2/3j and -2/3j+1/5k
b. 1/5k-2/3j and -1/5+2/3j
c. 1/5k-2/3j and 1/5k-2/3j
d. 1/5k-2/3j and 2/3j-1/5k
Answers
Answer:
according to the creator its A
Step-by-step explanation:
i did A and it was correct on edge 2021
7w + 3 + 2w + 9 simplified
Answers
The answer is 9w + 12
hope this helps!
Answer:
9w + 12
Step-by-step explanation:
First, add the 7w and the 2w
7w + 2w = 9w
Second, add 3 and 9
3 + 9 = 12
Last, add the two together
9w + 12 =
Hope this helps!
1 1/2 - (5/6x + 1/3) = 8/9 Really urgent pls help
Answers
Answer:
x = 1/3
Step-by-step explanation:
Rewrite the mixed number 1 1/2 as 1 9/18. The denominator here is 18, which is the smallest number divisible by 2, 6, 3 and 9. Then we have:
1 9/18 -(15/18)x - 6/18 = 16/18
or:
27/18 -(15/18)x = 22/18
Clear this of fractions by multiplying all terms by 18:
27 - 15x = 22, or
5 = 15x, or
x = 5/15, or x = 1/3
The value of the equation x = 1/3
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
1 1/2 - [ ( 5/6 )x + 1/3 ] = 8/9 be equation (1)
On simplifying the equation , we get
3/2 - ( 5/6 )x - 1/3 = 8/9
Adding (5/6)x on both sides of the equation , we get
( 5/6 )x + 8/9 = ( 7/6 )
Subtracting 8/9 on both sides of the equation , we get
( 5/6 )x = ( 7/6 ) - ( 8/9 )
( 5/6 )x = ( 63 - 48 ) / 54
Multiply by ( 6/5 ) on both sides of the equation , we get
x = ( 15/54 ) x ( 6/5 )
x = 3/9
x = 1/3
Hence , the value of the equation is x = 1/3
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Which expression is equivalent to
(5^-2)(5^-1)?
Answers
Answer:
5^-2.5^-1
5^-2-1
5^-3
1/125
plz help i dont want to fail plzzzzzz
Answers
5p + 2c = 34 ⇒ 15p + 6c = 102
14c = 98
14 14
c = 7
5p + 2(7) = 34
5p + 14 = 34
- 14 - 14
5p = 20
5 5
p = 4
(p, c) = (4, 7)
Answer:
c= 7 p=4
Step-by-step explanation:
3p + 4c = $40
therefore
15p + 20c = 200
5p + 2c = 34
therefore
15p + 6c = 102
14c = 98
98/14=7
c = 7
5p + 2(7) = 34
5p + 14 = 34
- 14 - 14
5p = 2020/5= 4
p = 4
Aliyah is drawing a ball from one bag and a tile from another bag the first bag contains four green balls and four yellow balls the second bag contains tiles 1 through 5 search
Answers
Complete question :
Aliyah is drawing a ball from one bag and a tile from another bag the first bag contains four green balls and four yellow balls the second bag contains tiles 1 through 5 search
What is the probability that she draws a green ball and a tile numbered with 4?
Answer:
1 / 10
Step-by-step explanation:
Given:
Bag content :
Green balls = 4
Yellow balls = 4
Probability = required outcome / Total possible outcomes
P(drawing a green ball) = 4 / 8 = 1/2
Total number of tiles = 5
P(drawing tile numbered 4) = (number of tiles numbered 4 / total number of tiles) = 1 / 5
P(drawing a green ball) * P(drawing tile numbered 4)
= 1 / 2 * 1 /5
= 1 / 10
2. You need to work a total of 44 hours per week at your two jobs. Your job as a store clerk pays
$5.50 an hour, and your job as a landscaper pays $6.00 an hour. You need to earn $250.00 per
week to cover your expenses. Which system of equations shows the various numbers of hours
you can work at each job? C is the number of hours worked as a clerk, while L is the number of
hours worked as a landscaper.
A.
C +L = 44
5.50C + 6L = 250
B.
C + L = 250
5.50C + 6L = 44
C.
5.50C + L = 44
C + 6L = 250
D.
C + L = 44
6C + 5.50L = 250
Answers
The equation shows the various numbers of hours you can work at each job are 5.50C + 6L = 250, and C + L = 44, so option A is correct.
What is the equation?Equation: A declaration that two expressions with variables or integers are equal. In essence, equations are questions and attempts to systematically identify the solutions to these questions have been the driving forces behind the creation of mathematics.
Given:
You work a total of 44 hours per week at your two jobs, Your job as a store clerk pays $5.50 an hour, and your job as a landscaper pays $6.00 an hour, and the total money to be earned is $250 per week.
Calculate the equation as shown below,
5.50C + 6L = 250 and C + L = 44
Solve the above equation by using the elimination method,
C = 28 hours and L = 44 - 28 = 16 hrs
Therefore, the equation shows the various numbers of hours you can work at each job are 5.50C + 6L = 250, and C + L = 44.
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Can someone please help? I need to get this doe so I can do something important
Answers
Answer:
9. 4/1 or 4. 10. 0
Step-by-step explanation:
9.
Slope- y2-y1/x2-x1
11-7/4-3= 4/1 or 4
10.
Slope-y2-y1/x2-x1
7-7/5-0= 0/5
When 0 is the numerator of the slope, then the slope is 0.
Is this a function? thanks for the answers:)
Answers
Answer:
Yes
Step-by-step explanation:
I am pretty sure it is a linear function
Answer:
yes
Step-by-step explanation:
[tex]3x+6-y=2y-8\\\\3x+6=2y+y-8\\\\3x+6=3y-8\\\\3y-8=3x+6\\\\3y=3x+6+8\\\\3y=3x+14\\\\y=x+\frac{14}{3}[/tex]
so yes it's a function
i’ll give brainliest!
Brad made a graph showing how many students were absent from school every day last week.
2. how many students were absent on day3? explain how you know.
3.on which day were the greatest number of students absent? how many students were absent that day?
Answers
ANSWER:
2.) There are 5 students absent on day 3 because the dot is in the line of 5 in day 3.
3.) The 2 day is the greatest number of students absent beacause on that 2 day, 10 students were absent
I obviously know this is the answer