The domain of the function f(2x) is (-1, 1).
Given that a function f has domain (-2,2) and range (-3,5).
We need to determine the domain of the function f(2x).
To determine the domain of the function f(2x), we need to consider how the original domain (-2,2) is affected by the transformation of multiplying the input by 2.
When we multiply x by 2, it stretches or compresses the function horizontally.
In this case, multiplying by 2 will stretch the original domain by a factor of 1/2.
To find the new domain, we divide the original domain endpoints by 2:
New domain = (-2/2, 2/2) = (-1, 1)
Therefore, the domain of the function f(2x) is (-1, 1).
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Deon cut away 1.52 meters of rope. Before that, he had 3 meters of rope. How much rope does Deon have left?
Answer:
1.48
Step-by-step explanation:
first find the half of 3 and then minus 2
Answer:
1.48 meters
Step-by-step explanation:
3.00-1.52= 1.48m
solve these simultaneous equations
2x+3y=13
and 4x+6y=26
Answer:
2x + 3y = 13
4x - y = -2
In the second equation, subtract 4x from both sides.
-y = -2 - 4x
Divide both sides by -1.
y = 2 + 4x
Put this into the first equation in place of y.
2x + 3(2 + 4x) = 13
Multiply everything in the parenthesis by 3.
2x + 6 + 12x = 13
Combine like terms.
14x + 6 = 13
Subtract 6 from both sides.
14x = 7
Divide 14 on both sides.
x = 7 / 14
x = 0.5
Put this into the second equation in place of x.
4(0.5) - y = -2
2 - y = -2
Subtract 2 from both sides.
-y = -4
Divide both sides by -1.
y = 4
So x = 0.5 and y = 4.
Step-by-step explanation: I hope this helps.
Which figure has a significant zero?
A) 2000
B) 506
C) 0.00412
D) 70
9643x48 paso a paso a paso
Answer: 462,864
Step-by-step explanation:
[tex]9614 \\x\\8\\\\\\=\\77144\\\\9643\\x\\4\\38572\\\\77144+38572 = 77144[/tex]
Y is inversely proportional to the cube of x when x=1/2,y=24 find the formula for y in terms of x
The formula for y in terms of x is y = 3/x³.
Inversely Proportional:
When two variables are inversely proportional to each other, then the value of one quantity increases with respect to decrease in other or vice-versa.
So, it can be written as,
y = k/x
where,
y is inversely proportional to x and k is the constant of proportionality.
Given,
Y is inversely proportional to the cube of x.
Here we need to find the formula for y in terms of x.
We know that, y is inversely proportional to the cube of x.
So, it can be written as
=> y = k / x³
Where k is the constant.
To find the formula of y,
First we need to find the value of k,
By applying the value of x and y,
So,
=> 24 = k / (1/2)³
=> 24 = k / 1/8
=> 24/8 = k
=> k = 3
Therefore, the formula for y in terms of x is,
=> y = 3/ x³
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5.6x0.7
HElp I DUnNo hOW TO gEt the ANSWER
Ik it’s 3.92 but hOWWw??
Answer:2
Step-by-step explanation:
There is 2 decimal places because you see how many numbers there are behind each of the decimals when multiplying then add them and that’s how many numbers are behind the decimal in the problem
2 digit long multiplication.
__________________________________________
Long multiplication can seem very intimidating, especially if you're multiplying two numbers that are pretty large, or like in this case if you're using decimals. If you take it step by step, though, you'll be able to do long multiplication in no time.
[tex]\frac{\begin{matrix}\:\:&3&4&\:\:\\ \:\:&\:\:&5&6\\ \times \:&\:\:&\:\:&7\end{matrix}}{\begin{matrix}\:\:&3&9&2\end{matrix}}[/tex]
How do we determine where the decimal point goes?
[tex]5.6\mathrm{\:has\:}1\mathrm{\:decimal\:place}[/tex]
[tex]0.7\mathrm{\:has\:}1\mathrm{\:decimal\:place}[/tex]
[tex]\mathrm{Therefore,\:the\:answer\:has\:}2\mathrm{\:decimal\:places}[/tex]
[tex]=3.92[/tex] is your FINAL ANSWER!
__________________________________________
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the equation 1.2+61=2r(4-6) HELP MEEEEEEEEEEEEEEEE PLEASE
The value of "r" in the given equation is -15.55.
The equation given is,1.2 + 61 = 2r(4-6)Add the two numbers present on the left hand side of the equation.62.2 = 2r(4-6)Subtract the two numbers present on the right hand side of the equation in brackets.62.2 = 2r(-2)Multiply the two numbers present on the right hand side of the equation.62.2 = -4rDivide both the sides of the equation by the common factor, i.e., -4.62.2/(-4) = (-4r)/(-4)Cancel terms that are in both the numerator and denominator.-15.55 = rMove the variable to the left hand side of the equation.r = -15.55To learn more about equations, visit :
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sketch the curve by using the parametric equations to plot points. indicate with an arrow the direction in which the curve is traced as t increases.
As t increases the curve is changing according to the plot points given by the parametric equations.
Define parametric equations?The coordinates of the points that make up a geometric object, such as a curve or surface, are frequently expressed using parametric equations; in this case, the equations are collectively referred to as a parametric representation or parameterization (alternatively spelled as parametrisation) of the object. It describes a collection of numbers that represent functions with one or more independent variables. The parameters used here are the independent variables. For the representation of the coordinates that make up geometric objects like curves and surfaces, parametric equations are used. Additionally, a curve that is not a function can be drawn using parametric equations.
The equations are
x=1-t²
y=2t-t²,-1≤t≤2
The sketch is in the diagram picture.
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I don’t understand how to do this equation 12x when x =6
Answer:
72
Step-by-step explanation:
when x = 6
then replace x with 6 in the equation
12x
= 12(6)
= 72
1/5(10x−5)=5x−1 is the problem.
some one help please.
9th grade math
Solution of the equation [tex][\frac{1}{5(10x-5)} =(5x-1)][/tex] is [x = (-0.512788205961), (-0.187211794039)].
As per the question statement, our concerned equation is [tex][\frac{1}{5(10x-5)} =(5x-1)][/tex].
We are required to find the value of "x" that satisfied the equation. First, we will have to convert the given equation to the form of quadratic equation.
[tex][\frac{1}{5(10x-5)} =(5x-1)]\\or, 1=5(10x-5)*(5x-1)\\or, 1=5*5(2x-1)*(5x-1)\\or,1=25[(2x-1)(5x-1)]\\or,1=25(10x^{2} -2x-5x+1)\\or,1=25(10x^{2} -7x+1)\\or,1=250x^{2} -175x+25\\or,250x^{2} -175x+24=0\\[/tex]
Now, [(250x² - 175x + 24) = 0] is in the form of a quadratic equation.
Also, the formula to calculate the solutions of a standard quadratic equation [ax² + bx +c = 0] goes as [tex][x=(\frac{-b+\sqrt{(b^{2}-4ac) } }{2a}), (\frac{-b-\sqrt{(b^{2}-4ac) } }{2a}) ][/tex]
Comparing [ax² + bx +c = 0] with [(250x² - 175x + 24) = 0], we get
(a = 250), (b = 175) and (c = 24), and using these values in the above mentioned formula to calculate the solutions of quadratic equations, we get, [x = (-0.512788205961), (-0.187211794039)].
Quadratic Equations: In algebra, any polynomial equation whose highest degree is two and can be rearranged to the standard form of [ax² + bx + c = 0], where (a ≠ 0), is known as a quadratic equation.To learn about Quadratic Equations, click on the link below.brainly.com/question/1863222
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A boys weighs 90 pounds on earth and 34.5 pounds on mars how much would a 600 pound man weigh on mars
Answer:
about 230lbs
Step-by-step explanation:
I think
Use the drawing tools to form the correct answer on the graph.
Graph this function.
f(x) = - 1/3x + 8
Answer: Use Desmos Graphing Calc, helps for graph like these
Step-by-step explanation:
1. Place a point on (0,8)
2. Then go down -1/3
P.S: REMEMBER RISE OVER RUN
there are blank vaues in the data set which are greater than or equal to 10 and less than or equal to 19. there are blank vlaues in the data set which are greater than or equal to 30 and less than or equal to 39. there are blank values in the data set which are greater than or equal to 20 and less than or ewual to 29
According to the given data set:
values10,11,12,13,14,17,17,18,18,19,19,19,21,23,23,25,26,27,27,27,31,32,33,33,36,37,37,38,38more than 20 and less than or equal to 29 values21,23,23,25,26,27,27,27more than 20 and less than or equal to 29 values.
What is an example of a data set?A data set is a group of figures or values related to a specific topic. A data set might include, for instance, each student's test results in a certain class. A data set is the number of fish that each dolphin consumes in an aquarium.
According to the given data:There are eight values that are both bigger than 20 and less than 29.The data collection has 12 values that are both higher than or equal to 30 and lower than or equal to 39.Values greater than nor equal to 30 and less than or equal to 3931,32,33,33,35,36,37,37,37,38,38The data collection has 12 values that are both higher than or equal to 30 and lower than or equal to 39.
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the distance from sacramento to fresno can be respresented as 2x+10 and the distance from fresno to san bernardino can be represented as 4c + 12. To Travel from sacramento to san bernardino is 340. How many miles is it to travel from Fresno to San Bernardino? Show your work below.
The distance travel from Fresno to San Bernardino is 224 miles.
What is distance?The distance of an object can be defined as the complete path travelled by an object .Distance is a scalar quantity that refers to "how much ground an object has covered" during its motion.
Given:
Distance from sacramento to fresno =2x+10
Distance from fresno to san bernardino= 4x + 12
Distance from sacramento to san bernardino = 340.
According to given question we have
Distance from sacramento to fresno+Distance from fresno to san bernardino=Distance from sacramento to san bernardino
2x+10 +4x + 12 =340.
Compare the like terms we get
6x+22=340
Subtract 22 from both sides we get
6x=318
x=53
So,
Distance from sacramento to fresno
=2x+10
=2*53+10
=106+10
=116
Distance from fresno to san bernardino
= 4x + 12
=4*53+12
=224
Therefore, the distance travel from Fresno to San Bernardino is 224 miles.
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A student's four test grades are stored in cells a10, b10, c10, and d10. which excel statement will calculate the test average of these 4 grades?
The excel statement to estimate the test average of these 4 grades is -
Click a cell just below column or on the right of the row containing the numbers you want to average.Click the arrow next to AutoSum > Average on the HOME tab, then press Enter.What is termed as average function?An average is the sum of many numbers divided by the total of numbers. It is also known as the arithmetic mean.
Assume we have the following sequence of numbers: 1, 2, 3, 4, 1, 2, and 3. The sum of the these numbers is 16, and the number of numbers divided by 7 is 2.28. As a result, the average of the these numbers is 2.28.In Microsoft Excel, how do you find the average?The average of multiple cells in Microsoft Excel and other spreadsheets can be calculated using the appropriate formula. The formula in the following example calculates the average of the values found in cells A1 through F1 of the first column : =AVERAGE(A1:F1)You would use the same row but modify the cells to cells in a row to calculate the average of cells in one row. For instance, the formula recognizes the average value in cells A1 via A20 when placed in cell A21. =AVERAGE(A1:A20)To know more about the Microsoft Excel, here
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Is the following relation a function? Justify your answer. Two circles are shown, one labeled x and the other labeled y. The x circle contains the numbers 6, negative 2, 4, and negative 1. The y circle contains the numbers 2, negative 2, and 1. Arrows map numbers from x to numbers from y. There are arrows going from 6 to negative 2, from negative 2 to 2, from 4 to 1, and from negative 1 to 1. Yes, because each output value has only one input value Yes because each input value has only one output value No, because there is an input value with more than one output value No, because there is an output value with more than one input value
each input is mapped into only one output, so this is in fact a function.
Is the following relation a function?A relation is a function if and only if each input is mapped into only one output.
Remember that an ordered pair is of the form (x, y), where x is the input and y the output.
In this case, the relation is defined by the ordered pairs:
(6, -2), (2, 2), (4, 1), (-1, 1)
We can see that each input is mapped into only one output, so this is in fact a function.
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Someone help with both pls
(This is a Linear Programming Word problem) (Honors Algebra II)
You are screen printing t-shirts and sweatshirts to sell at the County Blues Festival and are working within the following constraints
- You have at most 1200 minutes to make shirts
- You want to spend no more than $600 on supplies
- You want to have at least 50 items to sell
- T-shirts take 10 minutes to make with a cost of $4 and a profit of $6
- Sweatshirts take 30 minutes to make with a cost of $20 and a profit of $20
How many T-shirts and how many sweatshirts should you make to maximize your profit?
How much is the maximum profit?
The maximum profit is 800, and the most T-shirts, sweatshirts, and hoodies you should produce is 10.
Linear programming: what is it?A mathematical model whose requirements are expressed by linear connections can be optimized using a technique known as linear programming. A particular type of mathematical programming is linear programming.
based on the available facts;
x= tshirt
y =sweatshirts
10x+20y≤1200
2x+20y≤600
x+y≥50
x≥0
y≥0
so p=6x+20y(objective function)
from above 10x+20y≤1200
20y/20=(-10x/20)+(1200/20)
y=-1/2+(60)
put y value in all formula
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If OM=103 MN=108 ON=84 PQ=54 RQ=42 find the perimeter of pqr
By additive property of line segments, the length of the line segment PR is equal to a length of 96 units.
What is the perimeter of a combination of line segments?
According to geometry, the perimeter of a figure, closed or not, is the sum of the lengths of its sides, each represented by a line segment. In this question, we must determine the perimeter of two line segments, whose definition is found by additive property of line segments:
PR = PQ + QR (1)
Where PR, PQ and QR are the lengths of the three line segments. If we know that PQ = 54 and QR = 42, then the length of the line segment PR is equal to:
PR = PQ + QR
PR = 54 + 42
PR = 96
Therefore, the length of the line segment PR is equal to a length of 96 units.
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please solve this question (and explain how it works) thank you!
Answer:
Equation is 15(x-20) = 945
x = $83
Step-by-step explanation:
The cost of each lesson is $x
The discounted cost = x-20
Since 15 lessons cost 945,
the equation is
15(x-20) = 945
Simplifying by multiplying the term in brackets by 15:
15x - 15(20) = 945
15x - 300 = 945
Adding 300 on both sides isolates the 15 x term
15x = 945 + 300 = 1245
15x = 1245
Dividing both sides by 15 ,
x = 1245/15 = 83
So cost of lesson before discount is $83
Why do you think calculators change the way of scientists notation appears
Answer:
Yes because, Maybe because it's sometimes of technology occurs many things such as we no longer using old stuffs and living because. Even the calculator it's similar
Pablo finished his English assignment in 1/4
hours. Then he completed his history assignment in 4/5 hours. How much more time did Pablo spend on his history
4
assignment?
Write your answer as a fraction in simplest form.
Answer:
11/20
Step-by-step explanation:
Answer:
33/60 might be correct.
Step-by-step explanation:
1/4 hours is 15 minutes. 4/5 hours is 48 minutes
48-15=33 more minutes
There are 5 white balls,8 red balls ,7 yellow balls and 4 green balls in a container a ball is choosen at random.what is the probabilty of chooseing neither white or green? .
15/19 + 14/19 = 29/19
Step-by-step explanation:
Add the number of balls in the basket together.
Subtract the number of white balls from the sample space ( the total amount of balls) your answer is written over the sample space and the same process is done for the green ball
SOS PLEASE, I DONT UNDERSTAND
Answer:
8ft
Step-by-step explanation:
i believe it's eight feet?
WILL GIVE 12 POINTS AND BRAINLIEST IF ANSWERED IF ANSWERED CORRECTLY
Solve for t: d=rt-g
Answer:
d=rt-g
First, add G to both sides
d=rt-g
+g +g
----------
dg=rt
Then divide by r since you're solving for t
dg rt
---=-----
r r
Your answer should be t=dg/r
Hope this helps!
Step-by-step explanation:
boy can mow a lawn in 90 minutes and his sister can mow the same lawn in 60 minutes. how long will it take for both mowing at the same time to mow the lawn?
The time taken by both to mow the lawn is 36 minutes.
This is a question of time and work.
It is given that:-
Time taken by boy to mow the loan = 90 minutes.
Time taken by girl to mow the loan = 60 minutes.
We have to find the time taken by both of them together to mow the lawn.
LCM(60,90) = 180
Let the total work to be done to mow the lawn be 180 units.
Hence,
Efficiency of boy = 180/90 = 2 units
Efficiency of girl = 180/60 = 3 units
Total efficiency = 2 + 3 = 5 units.
Hence, time taken by both of them to mow the lawn = 180/5 = 36 minutes.
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If a₁ = 5 and a,, = 0,-1+5 then find the value of as.
Answer:
a1 = 6 and an = an-1 - 5
a2 = a2-1 - 5 = a1 - 5 = 1
a3 = a3-1 - 5 = a2 - 5 = -4, etc
Step-by-step explanation:
Pleaseeee hellp meeeee
Answer:
57,600 ft
Step-by-step explanation:
Solve for the value of c.
(20-3)
97°
i attached a pdf, hopefully it helps you understand!
The table below shows the number of gallons of gasoline used and the miles driven for different types of cars.
Type of Car Gallons of Gasoline Used Miles Driven
A
5 : 106
B
10 :204
C
15 : 298
D
20 : 392
Which type of car had the HIGHEST number of miles per gallon?
A
Type A
B
Type B
C
Type C
D
Type D
Type A car has the highest number of miles per gallon.
Given that the miles driven by a Type A car is 106 miles for 5 Gallons of Gasoline.
⇒ miles per gallon for a Type A car = 106/5 = 21.2 miles/gallon
Given that the miles driven by a Type B car are 204 miles for 10 Gallons of Gasoline.
⇒ miles per gallon for a Type B car = 204/10 = 20.4 miles/gallon
Given that the miles driven by a Type C car are 298 miles for 15 Gallons of Gasoline.
⇒ miles per gallon for a Type A car = 298/15 = 19.87 miles/gallon
(approximate to the two places of decimal value)
Given that the miles driven by Type D car are 392 miles for 20 Gallons of Gasoline.
⇒ miles per gallon for a Type D car = 392/20 = 19.6 miles/gallon
Therefore we have the following:
Type A - 21.2 miles/gallon
Type B - 20.4 miles/gallon
Type C - 19.87 miles/gallon
Type D - 19.6 miles/gallon
It is clear from the above data, that type A car has the highest number of miles per gallon.
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