To determine which function increases faster, we have to find the ratio = [tex]\frac{\triangle y}{\triangle x}[/tex].
Rate of Change:
A rate of change describes how an output quantity changes relative to the change in the input quantity. The units on a rate of change are “output units per input units.”
The average rate of change between two input values is the total change of the function values (output values) divided by the change in the input values.
[tex]\frac{\triangle y}{\triangle x} = \frac{f(x_{2})-f(x_{1}) }{x_{2}-x_{1}}[/tex]
How to determine:
Given the value of a function at different points, calculate the average rate of change of a function for the interval between two values [tex]x_{1}[/tex] and [tex]x_{2}[/tex].
Calculate the difference [tex]y_{2}-y_{1} = \triangle y[/tex]Calculate the difference [tex]x_{2}-x_{1} = \triangle x[/tex]Find the ratio [tex]\frac{\triangle y}{\triangle x}[/tex]Hence the answer is to determine which function increases faster, we have to find the ratio = [tex]\frac{\triangle y}{\triangle x}[/tex].
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PLEASE HELP
i already know that
-8 is wrong
Answer:
-16
Step-by-step explanation:
slope formula: y2-y1/x2-x1
y-16/17+19
y-16/36
Numerator is supposed to equal -32 since denominator is 36
y-16=-32
+16. +16
y=-16
Hopes this helps,please mark brainliest
Answer:
(b) -16
Step-by-step explanation:
You want the y-value that goes with x=17 on the line with slope -8/9 through point (-19, 16).
Point-slope equationThe point-slope form of the equation for a line is ...
y -k = m(x -h) . . . . . . line with slope m through point (h, k)
The line with slope -8/9 through point (-19, 16) will have the equation ...
y -16 = -8/9(x +19)
Y for x=17You want the value of y for x=17. We can find that by substituting x=17 into the above equation:
y -16 = -8/9(17 +19) = -8/9(36) = -32
Adding 16 gives the value of y:
y = 16 -32 = -16
The line passes through the points (-19, 16) and (17, -16).
can someone please help me:)?
Equation A. (8(4+x) = 72, and answer C are your responses (5 hours).
What do babysitters for young children go by?
Caregiver, governess, nanny, au pair, infant-care employee, day-care provider, mother's assistant, and mother or father are a few alternative terms for babysitters that seem more professional.
How old do you need to be to watch children?
While most babysitters begin their careers between the ages of 11 and 14, there is no set legal minimum age requirement in most places. At age eleven, you could start a red cross babysitting route. You are old enough if your parents still remember you and think you are trustworthy enough to
Find out how much of her Friday's earnings was left over. four*8= 32
She has 72 dollars in total, of which 32 dollars were earned on Friday; the remaining 56 dollars were earned on Saturday. 72-32 equals forty.
She made 40 dollars on Saturday at an hourly rate of $8, so you divide 40 by 8 to get 5, and so on. On Saturday, she worked for five hours.
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A furniture maker uses the specification 19.8≤w≤20.2 for the width, w, in inches of a desk drawer. Write the specification as an absolute value inequality.
Answer:
Step-by-step explanation:
The correct answer is:
|w-20| ≤ 0.12.
Explanation:
We first find the average of the two ends of the inequality:
(19.88+20.12)/2 = 40/2 = 20
This will be the number subtracted from w in the inequality.
Now we find the difference between this value and the ends:
20-19.88 = 0.12
20.12 - 20 = 0.12
This will be what our absolute value inequality ends with; the "answer" part, so to speak.
Since this inequality is written in compact form, it must be an "and" inequality; this means the absolute value inequality must be a "less than or equal to."
This gives us
|w-20| ≤ 0.12
Please solve the problem below
2(x+4)+2=5x+1
Answer:
3
Step-by-step explanation:
2x+8+2=5x+1
2x+10=5x+1
CLT
10-1=5x-2x
9=3x
9/3=3x/3
x=3
Answer:x=3
Step-by-step explanation:
Given,
2(x+4)+2=5X+1
solving the brackets,
2x+8+2=5x+1
2x+10=5x+1
taking the like terms together and solving them,
10-1=5x-2x
9=3x
x=9/3
x=3
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a simple random sample of 40 items resulted in a sample mean of 25. the population standard deviation is 5. what is the standard error of the mean? (round your answer to two decimal places).
The standard error of the mean is approximately 0.79 (rounded to two decimal places).
Define standard error ?
The standard error is a statistical term that measures the variability of a sample mean or an estimate of a population parameter from its true value. It is the standard deviation of the sampling distribution of the mean. In simpler terms, the standard error measures how much the sample mean varies from the true population mean. A smaller standard error indicates that the sample mean is more likely to be representative of the population mean, while a larger standard error suggests that the sample mean may not be as reliable.
The formula for the standard error of the mean is:
[tex]SE = \frac{\sigma }{\sqrt{n}}[/tex]
Where σ is the population standard deviation and n is the sample size.
Substituting the given values:
[tex]SE =\frac{5}{\sqrt{40}}[/tex]
SE ≈ 0.79
Therefore, the standard error of the mean is approximately 0.79 (rounded to two decimal places).
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Aurora thinks of a number. What is her number?
My number is odd and
greater than 4.
54 and 36 are multiples of
my number.
Answer: 9
Step-by-step explanation:
Factors that 54 and 36 share are 1, 2, 3, 6, and 9.
3 and 9 are the only odd numbers, but 3 is below 4.
Therefore, it has to be 9
The number which is odd, greater than 4, and 54 and 36 are its multiples is 9.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Number = x
x = odd
x = greater than 4
x = 54 and 36 are multiples
Now,
The number is 9.
9 is an odd number.
9 is greater than 4.
54 and 36 are multiples of 9.
i.e 9 x 6 = 54 and 9 x 4 = 36
Thus,
The number is 9.
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examples of one solution
Answer:I can’t see image on mobile
Step-by-step explanation:
h
What is the length of segment DE?
[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ D(\stackrel{x_1}{a}~,~\stackrel{y_1}{-2b})\qquad E(\stackrel{x_2}{4a}~,~\stackrel{y_2}{0})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ DE=\sqrt{(4a-a)^2+( ~~ 0-(-2b)~~)^2}\implies DE=\sqrt{(3a)^2+(2b)^2}[/tex]
The Serenity and the Mystic are sail boats. The Serenity and the Mystic start at the same point and travel away from each other in opposite directions. The Serenity travels at 16 mph and the Mystic travels at 20 mph. How far apart will they be in 2 hours?
After 2 hours Serenity and Mystic will be 72 miles apart
The speed of the Serenity = 16 mph
The time taken = 2 hours
The speed = Distance / Time
The distance = The speed × time
The total distance traveled = 16 × 2
= 32 miles
The speed of the Mystic = 20 mph
The time taken = 2 hours
The distance = The speed × time
Total distance traveled = 20 × 2
= 40 miles
Total distance = 32 + 40
= 72 miles
Hence, after 2 hours Serenity and Mystic will be 72 miles apart
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What is the value of x in the equation-2/9x=2/5?
A. -1 4/5
B. -5/9
C. 5/9
D. 1 4/5
The value of x is -1 4/5 i.e, Therefore, the correct option is A
Define Algebraic Expression
The concept of algebraic expressions is the use of letters or alphabets to represent numbers without providing their precise values. We learned how to express an unknown value using letters like x, y, and z in the fundamentals of algebra. Here, we refer to these letters as variables. Variables and constants can both be used in an algebraic expression. A coefficient is any value that is added before a variable and then multiplied by it. In mathematics, an expression that incorporates variables, constants, and algebraic operations is known as an algebraic expression (addition, subtraction, etc.).
Given expression,
-2/9 x=2/5
Isolate the variable, x
x = (2 * 9) / ( 5 * -2)
x = - (9/5) or -1 4/5
Hence, the value of x is -1 4/5 i.e, option(A)
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Mario purchases a prepaid phone plan for 50$. Each minute he uses costs $0.13. How many minutes can Mario talk on this plan
Answer:
49.87
Step-by-step explanation:
A submarine is 75 feet below sea level. It descends another 25 feet every 10 seconds for 3 minutes. What integer represents the submarines current location?
The integer represents the submarine's current location is -525 feet
The initial position of submarine = 75 feet below sea level
The descending rate of submarine = 25 feet every 10 second
Total time = 3 minutes
One minute = 60 seconds
3 minutes = 180 seconds
Therefore number of 10 seconds period = 180 / 10
= 18
For each 10 second the submarine descend 25 feet
Total distance that submarine descend = 18 × 25
= 450 feet
The initial position of submarine = -75
Current position = -75 - 450
= -525 feet
Hence, the integer represents the submarine's current location is -525 feet
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Carlos paid $150.95 for Luxury Vinyl Flooring for his Family Room
which is 121 Square feet. He purchased a 1 square foot sample at Lowes to take home to see if the flooring will match his fireplace
in the Family room.
Based on this price, what is the cost of the
sample?
$1.25
$0.95
$1.00
$1.20
Step-by-step explanation:
121 ft² cost $150.95
1 ft² costs then 150.95/121 = $1.247520661... ≈
≈ $1.25
6,311
✕ 41 pls answer
Answer:
258751
Step-by-step explanation:
multiply and you'll get the answer
Answers ? Help pls ):
ONLY ANSWER IF YOU REALLY KNOW IT ! NO LINKS !
Answer:
Break even 126 units
105x - (90x + 1890) Profits will be revenue minutes expenses.
The second answer.
Step-by-step explanation:
105x = 90x +1890 Subtract 90x from both sides
15x = 1890 Divide both sides by 15
x 126
They need to sell 126 units to break even.
105(91) -[90(91) + 1890]
9555-8190-1890
9555 - 16380
-6825
Selling 91 units will produce a loss of 6825
what is the inequality
Answer:-4<x<=5
Step-by-step explanation:
The white dot is above -4 and the filled in dot is above 5. Put that together plus the correct inequality signs and you get -4<x<=5
Answer: [tex]-4 < x\leq 5[/tex]
Step-by-step explanation:
The inequality ends at 4 and it is colored white so x must be greater than -4 therefore the first expression is x > -4 or -4 < x.
The other side of the inequality ends at 5 and it's colored black so x is less than or equal to 5. Therefore the second expression is [tex]x\leq 5[/tex].
if we merge the two equations together than we would get [tex]-4 < x\leq 5[/tex].
I hope that helped you.
:)
A, B, C, D, E, F, G & H form a cuboid.
AB= 5.4 cm, BC = 3.4 cm & CG = 6.7 cm.
Find HC rounded to 1 DP.
Refer to the attachment for the diagram:
The length of HC rounded to 1 DP = 9.3 cm²
What is a cuboid?
A cuboid is a solid shape or a three-dimensional shape in geometry. A cuboid is a convex polyhedron that has eight vertices, twelve edges, and six rectangular faces. A rectangular prism is another name for a cuboid. A cube is an object with six square faces on a cuboid.
From the figure,
length (l)= 5.4 cm = AB
width (w)=3.4 cm = BC
height (h)= 6.7 cm = CG
Formula:
Length of diagonal = √(l²+w²+h²) = √(5.4²+3.4²+6.7²) = 9.25 cm²
Rounded to 1 decimal point:
9.3 cm²
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The rise and run of the line, state the slope in simplest form
Answer:
it is called horizon simple question simple answer
40 points if you help
Answer:
(a) the graph is discrete because the number of basketballs cannot exist in fractions
(b) 126 ÷ 14 = 9, 9 basket balls were bought
graph:-
[b] [a]
0 0
1 14
2 28
3 42
4 56
Answer:
discrate
9
0 14 24 38 52
Please help me pleaseeee
The value of x for the given triangle is 2 units.
According to the question,
We have the following information:
We have a figure of triangle where a line segment is dividing the two sides. The measurement of some of its sides are given.
Now, the side with measurement 12 units and one divided side is 4 units.
The next side to 4 units in the same side will be (12-4) units or 8 units.
Now, using the basic proportionality theorem, we have the following expression:
6/6x = 4/8
Using the cross multiplication method:
6x*4 = 8*6
x = 48/24
x = 2 units
Hence, the value of x for the given triangle is 2.
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I need help immediately!! It’s subtract mixed numbers with unlike denominators!!
Answer:
C
Step-by-step explanation:
A = 3 11/12
B = 3 2/3
C = 4 1/4
D = 3 3/4
4 1/4 is equivalent to 4 3/12.
A population of bacteria is initially 6000. After three hours the population is 3000. If this rate of decay continues, find the exponential function that represents the size of the bacteria population after t hours. Write your answer in the form f(t)=a(b)t. Use either fractions, or decimals rounded to 4 places.
p(t) = 6000·(1/2)^(t/3) is the exponential function which represents the size of the bacteria.
What is bacteria?
Bacteria are common, mostly non-symbiotic organisms that regularly solely have one biological cell. they create up a big portion of the being microorganism kingdom.
Main Body:
An exponential growth or decay can be modeled by =
value = (initial value) · (growth factor)^(t/(time for growth factor))
Here, the growth factor is 3000/6000 = 1/2 in 3 hours. The initial value is 6000. Putting those numbers into the above form, we have ...
p(t) = 6000·(1/2)^(t/3)
If you prefer your exponential functions to be a power of e, then this is ... Hence,p(t) = 6000·e^(-0.23105t)
The constant -0.23105 is ln(1/2)/3.
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Imani drove to the lake and back. On the trip there he drove 30km/h and on the return trip he went 40km/h. How long did the trip there take, if the trip back wa 3 hour?
7 hours long was the trip for Imani to drove to the lake and back.
Speed is rate of change of position of any object from place to another . Formula to calculate speed is
Speed = Distance / Time
Speed at which he drove to the lake = 30Km/h
Speed at which he drove back = 40Km/h
Time taken in returning back from the trip = 3 hours
Distance travelled when time taken is 3 hours and speed is 40Km/h = Speed ×Time taken =
40 × 3 = 120 Km
Time taken by Imani to drove to the lake = Distance / Speed
= 120 / 30
= 4 hours
Total hours trip took = 4 + 3 = 7 hours
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x divided by 12; x= 2/3
Answer:
1/18
Step-by-step explanation:
Since x=2/3, we can plug in 2/3 for x, and we have 2/3 divided by 12.
Based on what we know about fractions, we can say that dividing by 12 is the same as multiplying by 1/12.
Therefore, we have the expression 2/3*1/12.
Next, we get 2/36, which can be simplified into 1/18.
Which expression is equivalent to 5m - (2m - 8) + 12 + 6m?
[tex]=5m-2m+8+12+6m\\=5m-2m+6m+8+12\\=3m+6m+20\\=9m+20[/tex]
The answer is 9m+20,it is equivalent to the expression in the question.
HELP ASAP!!
Match each equation on the left to its solution on the right.
Some answer choices on the right will be used more than once.
2(6+4x)= 8x + 6
2(4x − 2) = 10x – 6
7+x=2x+6
2x+2=-2(1-x)
x = all real numbers
x = 1
no solution
Answer:
I believe that these are the answers.
Step-by-step explanation:
1. 2(6+4x)=8x+6 No Solution
2. 2(4x − 2) = 10x – 6 x=1
3. 7+x=2x+6 x=1
4. 2x+2=-2(1-x) No Solution
Hope this helps
Answer:
Step-by-step explanation:
2(6 + 4x) = 8x + 6
12 + 8x = 8x +6
12 -6 + 8x = 8x + 6 -6
6 + 8x = 8x
6 + 8x - 8x = 8x -8x
6 = 0
no solution
2(4x -2) = 10x -6
8x -4 = 10x -6
8x - 4 +4 = 10x -6 +4
8x = 10x - 2
8x - 10x = 10x -10x -2
-2x = -2
-2x/-2 = -2 /-2
x = 1
7 + x = 2x +6
7 -6 + x = 2x +6 -6
1 + x = 2x
1 + x -x = 2x -x
1 = x
2x + 2 = 2(1 - x)
2x + 2 = 2 - 2x
2x +2 -2 = 2 -2 - 2x
2x = -2x
2x + 2x = -2x + 2x
4x = 0
4x/4 = 0/4
x = 0
I could not get x = all real numbers for any of the equations.
Martin has $30 and he makes $10 an hour mowing grass. His friend has $60 and makes $7 an hour babysitting. After how many hours will Martin have more money?
Martin will have more-money than his friend after babysitting for 10 hours
How to determine the relationship equation?The given parameters in the question are:
Martin
Initial amount = $30
Additional earnings = $10
His friend
Initial amount = $60
Additional earnings = $7
The equation that shows their total earnings is
y = Initial amount + Additional earnings * x
So, we have
Martins: y = 30 + 10x
His friend: y = 60 + 7x
When Martin has more money, we have
Martins > His friend
This gives
30 + 10x > 60 + 7x
Evaluate the like terms in the above inequality
3x > 30
Divide by 3
x > 10
Hence, Martin will have more money after 10 hours
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sara takes wedding pictures. for each picture, she has 1/4 chance that everyone looks at the camera. how many pictures must she take to have at least a 4/5 chance of having a picture in which everyone is looking at the camera?
For at least 6 pictures she must take to have at least a 4/5 chance of having a picture in which everyone is looking at the camera.
Let p define the probability of success in a Bernoulli trial, and P define the probability Sara wants to reach "at least" and n be defined as the number of trials. Then,
= 1 - (1 - p)ⁿ ≥ P
= (1 - p)ⁿ ≤ 1 - P
= n ≥ ln(1-P)/ln(1-p)
= n ≥ ln (0.2) / ln (0.75)
=5.6
Hence for at least n=6 photos, there is at least a chance of 4/5 that everyone is looking at the camera.
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helppp ..........
...
Answer:
Step-by-step explanation:
Ok:
Tips: The names and definition of shapes are arleady identified so just match them
1. The figure is a trapezoid since it has one parallel side.
2. The figure is a square since it is a side with four equal lengthed sides.
3. The figure is a rectangle since it has 2 sets of parallel sides with two same length and width
4. Irregular Quardrileteral since it arleady looks irregular and four sides are all different lengths and widths!
5. Parallelogram. Since it has four sides and and two are different lengths.
6. Rhombus. Since all sides are parallel to each other and width and length are the same.
7. Irregular Quardrileteral since it arleady looks irregular and four sides are all different lengths and widths!
8. Rectangle since it has 2 sets of parallel sides with two same length and width
9. Parallelogram. Since it has four sides and and two are different lengths.
Kala deposits $3000 into an account that pays simple interest at a rate of 4% per year. How much interest will she be paid in the first 2 years?
If Kala deposits $3000 into an account .The interest she pay in the first 2 years is $240.
How to find the simple interest?Using this formula to find the interest
I = P × r ×t
Where:
I = Interest = ?
P = Principal = $3,000
R = rate = 4% or 0.04
T = Time = 2 years
Let plug in the formula
I = 3,000 × 0.04 × 2
I = $240
Therefore she will pay the amount of $240 as interest.
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