A 100-gallon fish tank fills at a rate of x gallons per minute. The tank has already been filling for 5 minutes. The
function f(x)-- 5 represents the remaining time in minutes needed to fill the tank. How is the graph of the pare
100
-
X
function f(x)-
-
100
transformed to create the graph of the function f(x)-- X
-5?
The function f(x)-- 5 represents the remaining time in minutes needed to fill the tank in the graph of the pare
Answer:
- Vertically stretching the parent function [tex]f(x) = \frac{1}{x}[/tex] .- A 5 unit right shift of the parent function [tex]f(x) = \frac{100}{x-5}[/tex] .Here are some function transformations:
1. The function is moved up by "k" units if [tex]f(x) + k[/tex].
2. The function is moved down "k" units if [tex]f(x) - k[/tex].
3. The function is moved "k" units to the right if [tex]f(x) - k\\[/tex] .
4. If [tex]f(x) + k[/tex], the function is "k" units to the left.
5. If [tex]bf(x)[/tex] and b>1, the function is b times more vertically stretched.
6. In the event that [tex]bf(x)[/tex] and 0<b<1 the function is vertically compressed by a factor of "b".
The following parent function is provided by the question:
[tex]f(x) = \frac{1}{x}[/tex] .We also know that the transformed function, which denotes the number of minutes still required to fill the tank, is:
[tex]f(x) = \frac{100}{x-5}[/tex] .Therefore, based on the transformations previously described, we can determine that the following produces the graph of the transformed function:
Answer:
- Vertically stretching the parent function [tex]f(x) = \frac{1}{x}[/tex] .- A 5 unit right shift of the parent function [tex]f(x) = \frac{100}{x-5}[/tex] .To learn more about graph please click on the link:
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The complete exercise is: " A 100 gallon fish tank fills at a rate of x gallons per minute. The tank has already been filling for 5 minutes. The function [tex]f(x) = \frac{100}{x-5}[/tex] represents the remaining time in minutes needed to fill the tank. How is the graph of the parent function [tex]f(x) = \frac{1}{x}[/tex] transformed to create the graph of [tex]f(x) = \frac{100}{x-5}[/tex] ?"
A cement mixture calls for 3 pounds of cement for 3 gallons of water. What is the ratio of water to cement? Enter only the missing number.
Based on the calculations, the ratio of water to cement (W:C) is equal to 1:1.
What is a ratio?A ratio can be defined as a mathematical expression that's used to denote the proportion of two (2) or more quantities with respect to one another and the total quantities.
What is a proportion?A proportion can be defined as an expression which is typically used to represent (indicate) the equality of two (2) ratios. This ultimately implies that, proportions can be used to establish that two (2) ratios are equivalent and solve for all unknown quantities.
Given the following data:
Quantity of cement = 3 pounds.Quantity of water = 3 gallons.Substituting the given parameters into the formula, we have;
Therefore, the ratio of water to cement is given by:
Ratio of water to cement, W:C = 3:3
Ratio of water to cement, W:C = 1:1.
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HELP PLEASE PLEASE HELP SHOW WORK HELP PLS PLS PLS
Answer:
A = 8x, B = -a^2-2a-2
Step-by-step explanation:
Find the 8th term of the geometric sequence 6, 18, 54
Answer:
13122
Step-by-step explanation:
Term multiply by 3
First term is 6
Seven terms remain to be defined
then the 8th term is:
6 * 3⁷ = 6*2187
= 13122
Hannah took a taxi from her house to the airport. The taxi company charged a pick-up fee of $1.90 plus $3.75 per mile. The total fare was $80.65, not including the tip. Write and solve an equation which can be used to determine mm, the number of miles in the taxi ride.
Answer: y=3.75x+1.9
Step-by-step explanation: the pick up fee would be the y-intercept and the per mile cost would be the slope.
The equation that can be used to determine the number of miles in the taxi ride is 1.90 + 3.75x = 80.65.
The number of miles traveled is 21 miles.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
We have,
Pick up fee charges = $1.90
Charges per mile = $3.75
Total fare = $80.65
The number of miles traveled = x
We can write an equation as:
1.90 + 3.75x = 80.65
The number of miles traveled:
1.90 + 3.75x = 80.65
Subtract 1.90 on both sides.
1.90 + 3.75x - 1.90 = 80.65 - 1.90
3.75x = 78.75
Divide both sides by 3.75.
x = 21.
Thus,
The equation that can be used to determine the number of miles in the taxi ride is 1.90 + 3.75x = 80.65.
The number of miles traveled is 21 miles.
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In a 40 hour work week marcie spends 15 hours answering phones what is the ratio of hours spent answering telephones to hours doing other types of work?
Out of 40 hours that Marcie works, 15 of those hours are spent answering phones. The problem asks that the hours spent answering telephones goes first in the ratio, so that will be the first number.
15 :
The last number is the total number of hours Marcie works.
15 : 40
PLEASE HELP WILL GIVE BRAINLIEST
Answer:
1302 for the first
-194 for second
Step-by-step explanation:
just do the operation
which shows all the critical points for the inequality x^2-9x/x-5<0
The critical points are 0, 5 and 9 for the inequality (x² - 9 x) / (x - 5) < 0.
The critical point is a single value at which the function is not differentiable
The inequality is given as:
(x² - 9 x) / (x - 5) < 0.
Factorize the numerator
x (x - 9) / (x - 5) < 0.
Equate it to 0, we get that:
x (x - 9) = 0 or x - 5 = 0
x = 0 or x - 9 = 0 or x - 5 = 0
So, the critical points will be:
x = 0 or x = 9 or x = 5.
Therefore, the critical points are 0, 5 and 9 for the inequality (x² - 9 x) / (x - 5) < 0.
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dividing decimals
0.745/ 9.089
Answer:
0.745/9.089
Multiply numerator and denominator by 1000
=745/9089
what is the ordered pair for -5, 6
The ordered pair for -5, 6 is (-5, 6)
How to determine the ordered pair for -5, 6?The expression is given as:
-5, 6
Ordered pairs are often represented by the parenthesis i.e. ( , )
Where the variables x and y are in the parenthesis
So, the proper representation of an ordered pair is
(x, y)
Substitute -5, 6 for x and y in (x, y)
(-5, 6)
Hence, the ordered pair for -5, 6 is (-5, 6)
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if four out of every nine trick-or-treaters that came to your house last Halloween were dressed as Snow White, what proportion of trick-or-treaters were not dressed as Snow White?
The proportion of Trick-or-treaters not dressed as Snow white are 5/9.
A proportion may be defined as the way of representation of numbers or letters in the form of ratios which are made equal to each other. For example, if there are 1 mango and 2 bananas then the ratio is written as 1:2 that is for every 1 mango there are 2 bananas and there are 1/3 mangoes and 2/3 bananas.
Total number of Trick-or-treaters = 9
Total number of Trick-or-treaters dressed as Snow white = 4
Total number of Trick-or-treaters not dressed as Snow white = 9-4 = 5
Thus, Proportion of Trick-or-treaters not dressed as Snow white = 5/9
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You are working on a banner for Friday’s pep
rally. The length of the banner is 6 times the
width. The length is 18 feet.
l
GO WILDCATS! w
What is the width?
Answer in units of feet.
The width of the banner of the Friday’s pep rally is 3 feet.
How do you find the percentage of number?To calculate a percentage, divide the value by total value and multiply the result by 100. (value/total value)100% is the formula for calculating percentage.
Calculating a percentage means determining a portion of a whole in terms of 100. A percentage can be calculated in two ways:
The unitary method is used.By changing the fraction's denominator to 100.For the given expression;
The length of the Friday’s pep rally banner is 18 feet.
Let the width be 'b'.
The given condition is;
The length of the banner is made 6 times the width.
Then,
6 time the width = length
6×w = 18
w = 18/6
w = 3
Therefore, the width of the banner is found as 3 feet.
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A pollster would like to predict the mayoralty winner of a certain town. However, his budget for a quick survey is good only for 30 out of the 110 barangays of that town. Which statistics is more appropriate to use – descriptive or inferential? Justify your answer.
Inferential statistics are a better way to interpret the data.
Inferential statistics are regularly used to evaluate the variations among the remedy corporations. Inferential records use measurements from the pattern of topics within side the test to evaluate the remedy corporations and make generalizations approximately the bigger populace of topics.
There are many sorts of inferential records and every is suitable for a selected studies layout and pattern characteristics. Researchers must seek advice from the numerous texts on experimental layout and records to discover the proper statistical take a look at for his or her test. However, maximum inferential records are primarily based totally at the precept that a take a look at-statistic cost is calculated on the premise of a specific formula. That cost together with the levels of freedom, a degree associated with the pattern size, and the rejection standards are used to decide whether or not variations exist among the remedy corporations. The large the pattern size, the much more likely a statistic is to suggest that variations exist among the remedy corporations.
Therefore, we get that inferential statistics are a better way to interpret the data.
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there are 25 boxes of paper, each box has 789 pieces of paper. how many pieces of paper are there in all?
25 times 789 is 19725
the answer:19,725
Which of these statements is true?
Answer: WX, ZY and WX and AB.
The 2nd one is correct.
Multiply
(2/5)(-5/4)
Enter your answer as a fraction, in simplest form, in the box.
Answer:
-1/2
Step-by-step explanation:
first, we multiply 2 and -5 which is -10, then we multiply 5 and 4 which is 20
so, we get -10/20 then the simplest form is -1/2
MARK ME BRAINLIEST IF IT HELPED :)
Determine whether the following ratios are equivalent. 3:4 and 12:9
Answer:
no
Step-by-step explanation:
Put them as fractions that have equivalent denominators.
3/4 :27/36 (multiply 9 to both numbers)
12/9 :48/36(multiply 4 to both numbers)
Since the numerators are not the same the answer is no.
If they were equal both numerator and denominator would be the same
Perforated for Easy
Between which two thousands
does 10,357 fall?
and
Use the number line below to
show how you would round 10,357
to the nearest thousand.
10,357 rounds to
8. The road transport company of Maldivies keep MVR 950 aside as a wage per day for the hired labourers. The company initially hires 10 laboures. Find out the income of each labourer.
The income of each laborer is MVR 95.
The total amount of money kept aside by the road transport company of Maldives is MVR 950.
Initial hiring of the laborer is 10.
Here we have to have to income of each laborer.
So, Income of each laborer = total income/number of laborer
= 950/ 10
= 95
Therefore the income of each laborer is MVR95.
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Anyone please solve for me
Answer:
A
Step-by-step explanation:
Any number besides 0 to the zero power evaluates to 0. True or false?
Answer:
True
Step-by-step explanation:
Because anything multiplied by 0 is equal to 0.
own to place into her scrapbook. What is the area of each picture?
3 in.
5 in.
3 in.
Answer:
Step-by-step explanation:
3x5=15x3=45
The difference between two positive numbers is 40 and the ratio of these integers is 1:3.Find the integers.
Answer:
A:B= 1:3
let A=1x,B=3x
A+B = x+3x
x+3x = 40
4x = 40
x=10
A=1(10)=10
B=3(10)=30
Step-by-step explanation:
Dont really know how to explain it well
i only have one chance to get this right! please help.
Answer:
D. 2z^3/y
Step-by-step explanation:
xyz^2 = 2z^4
z(xyz) = z(2z^3)
xyz = 2z^3
xz = (2z^3)/y
WHICH ONE IS IT
60PTS
Answer:
B. {-4, -2, 0, 2, 4}
Step-by-step explanation:
A definition for the word domain is the "input" of a function, also called the x values.
A definition for the word range is the "output" of a function, also called the y values.
With this knowledge, looking at the question, it is asking for the range of the relation, which means we are looking at the y values.
A is incorrect because it shows all values from -4 to 4, however some are not in the relation shown.
B is correct because it is showing all of the y values given in the table and no others.
C is incorrect because it is just showing the bounds of the relation, but not all values between.
D is incorrect because it is the domain of the function, or the x values.
Therefore, you were correct, and your answer is B.
Answer: B? Although its supposed to be {4, 2, 0, -2, -4}
Polygon EFGH is a scaled copy of polygon ABCD.
Select ALL of the true statements.
(Select all that apply.)
The area of EFGH is twice the area of ABCD.
Segment FG is twice as long as segment CD.
Segment EF is twice as long as segment AB.
The scale factor from EFGH to ABCD is 2.
The length of segment AD is 8 units.
The following statements are true and correct:
Segment EF is twice as long as segment AB
The length of segment AD is 8 units
How to interpret dilation transformation?
Since quadrilateral ABCD is scaled to form quadrilateral EFGH, both are similar polygon.
Now, it is known that;
scale factor = ratio of any of their corresponding side
Thus;
Scale factor = GH/CD = 12/6 = 2
This means quadrilateral EFGH is twice the size of quadrilateral ABCD.
The shape of the original polygon remains the same while the size increases.
This implies that, all segments of quadrilateral ABCD increases proportionally times 2 to give us corresponding lengths of the segments of quadrilateral EFGH.
Since shape remains the same, their corresponding angles are congruent and the same in measure.
Therefore, the following statements are true and correct:
Segment EF is twice as long as segment AB; because (EF = AB*scale factor = 3*2 = 6)
The length of segment AD is 8 units because (EH = AD*scale factor = 8*2 = 16)
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Norma plans to rent a car for her vacation. The cost to rent the car is $39
plus $0.15 per mile she drives. Write a function rule for the total cost of
the rental.
Answer:
$39 + 0.15x
Step-by-step explanation:
$39 is the flat fee no matter what and x is the number of miles driven times cost per mile.
easy points. need work shown
19/20 divided by 20/30 = 19/20 x ?
A. -30/20
B. 30/20
C. 20/19
D. -20/19
Answer:
19/20*30/20=19/20 x
570/400=19/20 x
57*20=40*19x
1140=760x
x=30/20 or 3/2
PLEASE HELP!! I NEED THIS ASAP. I WILL GIVE BRAINLY
Answer:On three of the percentage points you improved your average score.
Step-by-step explanation:I hope this helps.
Answer:
75 + 85 + 90 + 90 + 100 + 75 + 80 + 100 + 90 = 785
785/9 = 87.2
85 + 85 + 100 + 90 + 100 + 85 + 80 + 100 + 90 = 815
815/9 = 90.5
90.5 - 87.2 = 3.3
Round 3.3 to the nearest percent = 3%