Answer:
3x + 3
Step-by-step explanation:
4x + 3 - x can be expressed as:
x + x + x + x + 3 - x
If we combine like terms:
x + x + x + x - x + 3
x + x + x + 3
3x + 3
What is a variable? And when a question asks “What variable is plotted along the X axis and Y axis?” what do i say.
A variable is a term used to express the unknown value or quantity.
A variable is an alphabet or term that represents an unknown number or unknown value or unknown quantity. It is used when we do not know the actual value of the number or the quantity.
For example: let x denote the number of hours taken by Sam to complete his work.
When we have to plot the variables on x- axis and y- axis, we see that which variables are independent variables and which of them are dependent variables.
The independent variables that are not influenced by the other factors that are given are plotted on the x- axis and the dependent variable which changes due to the change in independent variable are plotted on the y- axis.
Therefore, a variable is a term used to express the unknown value or quantity.
Learn more about variable here:
https://brainly.com/question/25223322
#SPJ9
What is the reciprocal of 1 3/4 as a fraction
Answer:
4/7
Step-by-step explanation:
[tex]1 \frac{3}{4}=\frac{7}{4}[/tex]
So, the reciprocal is 4/7.
Help Please!
1 3/5x-3/4
Answer:
1
- 1 -------
5
Step-by-step explanation:
3 3
1 ------ × - -------
5 4
8 3
------ × - -------
5 4
8(4) 3(5)
------ × - -------
5(4) 4(5)
32 15
------ × - -------
20 20
--------------------------------------------------------
32 × (-15) = -480
20 × 20 = 400
--------------------------------------------------------
480 ÷ 80
- -------
400 ÷ 80
6 1
- ------- or - 1 -------
5 5
I hope this helps!
If (x + 2)2 = 49, then x + 2 = 7 True O False
is 2 to the negative 3rd power rational
Answer:
-8
Step-by-step explanation:
Yes, it is rational. It's an integer.
Find the area under the curve
y = f(x) over the stated
interval.
f(x)=3√x; [1,4]
f(x) = x-2/3; [1,27]
Answer:
Areas under the curve
[tex]f\left(x\right)=3\sqrt{x}[/tex], [tex][1,4][/tex] : 14 [tex]f\left(x\right)=x-\frac{2}{3}\\[/tex] , [tex][1,27]:\;\;[/tex] [tex]\bold{\frac{1040}{3}}[/tex]Step-by-step explanation:
The area under a curve on an interval [a, b] is the integral of the function computed in this interval : [tex]A=\int _a^b|f\left(x\right)|dx[/tex]
(1) For [tex]f\left(x\right)=3\sqrt{x}[/tex] with [tex]a=1,\:b=4[/tex]
area [tex]=\int _1^4\left3\sqrt{x}\;dx[/tex] = [tex]3\cdot \int _1^4\sqrt{x}dx[/tex] =
[tex]\int \sqrt{x}[/tex] = [tex]\frac{2}{3}x^{\frac{3}{2}}[/tex]
[tex]3\cdot\frac{2}{3}x^{\frac{3}{2}}[/tex] = [tex]2x^{\frac{3}{2}}[/tex]
At [tex]x = 4,[/tex] we get [tex]2\cdot4^{\frac{3}{2}}[/tex] = [tex]2\cdot8 = 16[/tex]
At [tex]x = 1,[/tex] we get [tex]2\cdot1^{\frac{3}{2}}[/tex] = [tex]2.1 = 2[/tex]
So area under the curve for [tex]f(x) = \:3\sqrt{x}[/tex] in the interval [tex][1, 4] = 14[/tex]
(2) [tex]f\left(x\right)=x-\frac{2}{3}\\[/tex]
[tex]\int \:x-\frac{2}{3}dx[/tex] = [tex]\int \:xdx-\int \frac{2}{3}dx[/tex] [tex]=\frac{x^2}{2}-\frac{2}{3}x[/tex]
[tex]\left[\frac{x^2}{2}\right]^{27}_1 = \frac{27^2}{2} - \frac{1}{2} = \frac{729}{2}-\frac{1}{2} = \frac{728}{2} = 364[/tex]
[tex]\left[\frac{2}{3}x\right]^{27}_1 = \frac{2}{3}\cdot \:27 - \frac{2}{3}\cdot \:1 = 18-\frac{2}{3} = \frac{52}{3}[/tex]
[tex]\int _1^{27}\left|x-\frac{2}{3}\right|dx = 364-\frac{52}{3} = \frac{1040}{3}[/tex] (Answer)
The general admission rate to an amusment park is 12$. Each ride ticket cost $2.75 . Which if the following reprrsents the cost for a day at the amusement park as a function of the number of ride tickets purchased ?
The cost for a day at the amusement park as a function of the number of ride tickets purchased is y = 12 + 2.75x
What are linear equations?Linear equations are equations that have constant average rates of change. Note that the constant average rates of change can also be regarded as the slope or the gradient
How to determine the function of the number of ride tickets purchasedThe given parameters are:
Admission rate to the amusement park = $12
Cost of each ticket = $2.75
Let the number of tickets be x, and the total cost be y
So, the function can be represented as
y = Admission rate to the amusement park + Cost of each ticket * x
This gives
y = 12 + 2.75 * x
Evaluate the product
y = 12 + 2.75x
Hence, the cost for a day at the amusement park as a function of the number of ride tickets purchased is y = 12 + 2.75x
Read more about linear functions at
https://brainly.com/question/15602982
#SPJ1
Evaluate the expression when g=72 and h=4
9/g-h
Answer:
4
Step-by-step explanation:
Given : g=72 and h=4
Then
[tex]\frac{g}{9} - h = \frac{72}{9} - 4[/tex]
[tex]\large \text{= 8 - 4}[/tex]
[tex]\large \text{= 4}[/tex]
If you buy a car for $65,076 and it depreciates linearly at a rate of 19% per year, what will be its value after 9 months? Round your answer to the nearest cent.
The Cost value of the car after 9 months is $55797.
According to the statement
We have to find that the value of the car after 9 months.
So, For this purpose, we know that the
The cost function can be used to find the average cost, which is the average amount of money it costs to produce a unit.
From the given information:
If you buy a car for $65,076 and it depreciates linearly at a rate of 19% per year, what will be its value after 9 months
Then
The depreciates linearly at a rate of 19% per year
It means the 19% of the value of the car is a :
Value of the rate of the depreciates = 19/100*65,076
Value of the rate of the depreciates = 0.19*65,076
Value of the rate of the depreciates = 12364.44
Value of the rate of the depreciates = 12365
It is he value decreased in a 12 months
Then
The value decreased in one month = 12365 /12
The value decreased in one month = 1030.41
The value decreased in one month = 1031.
Then
The value decreased in 9 months = 1031*9
The value decreased in 9 months = 9279
Then
The remaining value of the car = 65,076 - 9279
The remaining value of the car = 55797
So, The Cost value of the car after 9 months is $55797.
Learn more about cost function here
https://brainly.com/question/2021001
#SPJ9
If Var(Z)=4, find the variance of Y if Y=3Z+2.
Considering the variance of Z and the relation between Y and Z, the variance of Y is given by:
Var(Y) = 36.
What happens to the variance of a variable when the variable is multiplied by a constant and when it is added to a constant?The variance of a variable, or a data-set, is given by the sum of the differences squared between each observation and the mean, divided by the cardinality of the data-set, which is the number of values in the data-set.
Hence:
When a constant is multiplied by the variable, the mean is multiplied by the constant and so are the differences squared, hence the variance is squared.When a constant is added to the variable, the constant will also be added to the mean and to each variable, hence the differences squared will remain constant and so will the variance.These two bullet points above can be resumed by the equation given as follows:
Var(aX + B) = a²Var(X).
Hence:
Var(3Z + 2) = 9Var(Z).
Hence the variance of Y is given as follows:
Var(Y) = Var(3Z + 2) = 9Var(Z) = 9 x 4 = 36.
More can be learned about variances at https://brainly.com/question/18188940
#SPJ1
log64+log32_log128
express the given between
Step-by-step explanation:
log64 + log32 - log128
= log 2⁶ + log 2⁵ - log 2⁷
= 6log2 + 5log2 - 7log2
(sorry I can't continue from here... someone else can help...maybe?...sorrrrryyy)
A wall is 3 yards and 10 inches
long. What is the length of the
wall in inches?
Answer:
118 inches
Step-by-step explanation:
This is a conversion problem, so first we will need to change the yards to inches
3y=(3ft/1y)=9ft
9ft=(12in/1ft)=108in
add the 108 inches to the 10 inches
118 inches length
Avery has put $150 each month into a savings account that earns 2.99% interest for the last 20 years. The balance at the end of 20 years is $34,019. Calculate and compare the amount that Avery contributed to the amount of interest earned in a meaningful sentence.
1. The amount that Avery contributed at the end of 20 years was $36,000.
2. Since the balance at the end of 20 years was $34,019, which is less than Avery's total contribution of $36,000, Avery withdrew both the interest earned and portions of the contributions during the period.
How is the future value determined?The future value is the value of the monthly deposits compounded at the interest rate.
The future value can be determined using an online finance calculator as follows.
Data and Calculations:Monthly deposits = $150
Interest rate = 2.99%
Period = 240 months (20 years x 12)
Balance at the end of 20 years = $34,019
Sum of all monthly contributions = $36,000 (240 x $150)
Total Interest = $13,191.54
Future Value = $49,191.54 ($36,000 + $13,191.54)
Actual value after 20 years = $34,019.00
End-of-Period Withdrawals = $15,172.54 ($49,191.54 - $34,019.00)
Thus, the amount Avery contributed for 20 years was $36,000.
Learn more about future value at https://brainly.com/question/24703884
#SPJ1
if I worked all year and made $ 500000how much would i of made each month ??
How is the worth of currency determined?
Imports and exports
The gold standard
Trade
Each nation’s economic health as a whole
Answer:
1
Step-by-step explanation:
Summary. Currency value is determined by aggregate supply and demand. Supply and demand are influenced by a number of factors, including interest rates, inflation, capital flow, and money supply. The most common method to value currency is through exchange rates.
On a map every 0.5cm represents 25km. If London is 454KM away from Paris, about how far apart from each other do the cities appear on the map?
7 ft
12 ft
6 ft...
Find the area of the figure above.
[?] square feet
Answer:
105
Step-by-step explanation:
The rectangle is 84 and the triangle is 21.
84 + 21 = 105
Answer:
105
Step-by-step explanation:
84 + 21 = 105
Pls help I’m not sure what this is.
what is the combined length of all the buttons longer than 1 inch
please help tysm
The combined length of all the buttons longer than 1 inch is 2 3/8 inches.
How to calculate the fraction?It should be noted that from the information, we want to calculate the combined length of all the buttons longer than 1 inch.
This will be:
= 1 1/8 + 1 1/4
= 1 1/8 + 1 2/8
= 2 3/8 inches
Therefore, the combined length of all the buttons longer than 1 inch is 2 4/8 inches.
Learn more about fractions on:
brainly.com/question/17220365
#SPJ1
A. she should find the squares of numbers between 7.4 and 7.5
Answer:
she should estimate that 42 is 6.50. D. she should find the squares of numbers between 6.4 and 6.5
19, 18, 23, 24, 31, 32, 16 In which stem does most of the data fall?
The stems that the data fall are 1,2, and 3.
Using a stems and leaf plot, each data value in a series is represented by the stem as the first digit (digits) and the leaf as the last digit (digits).
Since all of the data values in the provided table contain two digits, we must locate the highest and smallest number at the tenth position in the data series in order to plot stems.
The Data series is:
19, 18, 23, 24, 31, 32, 16
The smallest number in tenth place = 1
The largest number at tenth place = 3
So the stems used to plot the data are 1, 2, and 3.
Stem-leaf plot is shown in table 1 below:
Learn more about stem leaf plots here:
https://brainly.com/question/28186988
#SPJ9
4.3 + 5 3/5 can you help me
Answer:
Step-by-step explanation:
4.3 +5 3/5
4 30/100+ 5 3/5
4 3/10 + 5 3/5
4 3/10 + 5 6/10
9 9/10
Does this help if you have any questions about this question or others I’d be happy to help
View the image below and solve.
Put y = -2/3x+5 in standard form
The standard form of the given linear equation y = (-2/3)x + 5 is 2x + 3y = 15.
What is the standard form of the linear equation?The standard form of a linear expression is expressed as;
Ax + By = C
Where A and B are the coefficient of x and y respectively and C is the constant term.
Given the equation in the question;
y = (-2/3)x + 5
Multiply both sides by 3
y = (-2/3)x + 5
3(y) = 3((-2/3)x + 5 )
Apply distributive property
3(y) = 3((-2/3)x + 5 )
3y = 3(-2/3)x + 3( 5 )
3y = -6/3x + 15
3y = -2x + 15
Now, move all terms containing variables to the left side of the equation
3y = -2x + 15
Add 2x to both sides
3y + 2x = -2x + 2x + 15
3y + 2x = 15
Reorder 3y and x
2x + 3y = 15
Therefore, the standard form of the given linear equation y = (-2/3)x + 5 is 2x + 3y = 15.
Learn more about linear equation here: https://brainly.com/question/12452575
#SPJ1
Singer A and Singer B had the two top-grossing concert tours for a certain year, together generating $443 million in ticket sales. If Singer B took in $29 million less than Singer A, how much did each tour generate?
If Singer B took in $29 million less than Singer A, it means that Singer A generates $236 million and singer B generates $207 million in tickets sale
How much does singer A takes in ticket sales?
The fact that singer B generated $29 million less than singer A means that if singer A generates x million , singer B would generate (x-29) million in tickets sales
singers A's earnings=x
singer B's earnings=x-29
total earnings=x+x-29
total earnings=2x-29
total earnings=443
443=2x-29
443+29=2x
472=2x
x=472/2
x=236
singer B's earnings=236-29
singer B's earnings=207
Find out more about gross tickets sales on:brainly.com/question/12559599
#SPJ1
Help 10 points and brainliest
Answer:The answer is 10/6 or 1 4/6 or 1 2/3.
Step-by-step explanation: you can do either one and it will be equal the same.
Use compatible numbers to estimate the whole number quotients 5320/61?
The whole number quotients of the expression; 5320/61 as required to be evaluated in the task content is; 88.
What is the best estimate of the whole number quotients of the expression; 5320/61 as given in the task content?It follows from the task content that the use of compatible numbers is to be used to estimate the whole number quotients 5320/61.
On this note, since the numbers can be written as follows;
= (53.2 × 100)/(0.61 × 100)
= 53.2/0.61
The estimate can therefore be determined by evaluating;
= 53/0.6
= 88 remainder 1.
Therefore, the closest estimate of the whole number quotients 5320/61 as given in the task content is; 88.
Ultimately, the whole number quotients of the expression; 5320/61 as required to be evaluated in the task content is; 88.
Read more on quotients;
https://brainly.com/question/16720439
#SPJ1
A reporter counts the number of times a politician talks about jobs in their campaign speeches in the dot plot?
A) 1.1 mentions B) 2 mentions C) 2.5 mentions D) 5.5 mentions
The MAD is the 5.5 mentions if the reporter counts the number of times a politician talks about jobs in their campaign speeches in the dot plot.
What is a dot plot?A dot plot also referred to as a dot chart or stripe graph, is a sort of simple histogram-like figure used in statistics for little data sets with values falling into a number of discrete bins.
It is given that:
A reporter counts the number of times a politician talks about jobs in their campaign speeches in the dot plot.
From the graph:
The MAD of the data:
= [(3+4+7+8) + 3(5+6)]/(4 + 2x3)
After simplification:
= 55/10
= 5.5 mentions
Thus, the MAD is the 5.5 mentions if the reporter counts the number of times a politician talks about jobs in their campaign speeches in the dot plot.
Learn more about the dot plot here:
brainly.com/question/21862696
#SPJ1
NEED YOUR HELP WITH THIS!!
Answer:
the tenth term is 100: 10,20,30,40,50,60,70,80,90,100
the fourth term is 12: 4,6,8,12
the third term is 1/2: 1/8,1/4,1/2
i really don't know how to explain. i don't know if i am correct but i tried
Question 6 of 15, Step 1 of 1
Correct
Jessie recently drove to visit her parents who live 385 miles away. On her way there her average speed was 24 miles per hour faster than on her way home (she ran into
some bad weather). If Jessie spent a total of 11 hours driving, find the two rates (in mph). Round your answer to two decimal places, if needed.
Answer: 84 mph 60 mph
Step-by-step explanation:
Let her average speed to home was x mph
Hence, the average speed to her parents was (x+24) mph
Thus:
Jessie spent for the trip to her parents' house: 385/x hours
Jessie spent for the trip to home: 385/(x+24) hours
[tex]\displaystyle\\\frac{385}{x} +\frac{385}{x+24} =11\\\\385(x+24)+385(x)=11(x)(x+24)\\\\385x+9240+385x=11x^2+264x\\\\770x+9240=11x^2+264x\\\\770x+9240-770x=11x^2+264x-770x\\\\9240=11x^2-506x\\\\9240-9240=11x^2-506x-9240\\\\0=11x^2-506x-9240\\\\Divide\ both\ parts\ of\ the \ equation\ by\ 11:\\\\0=x^2-46x-840[/tex]
[tex]\displaystyle.\\Thus,\\\\x^2-46x-840=0\\\\D=(-46)^2-4*1*(-840)\\\\D=2116+3360\\\\D=5476\\\\\sqrt{D} =\sqrt{5476} \\\\\sqrt{D}=74 \\\\x=\frac{466б74}{2*1} \\\\x=\frac{46-74}{2} \\\\=\frac{-28}{2} \\\\x=-14\notin(x > 0)\\\\x=\frac{46+74}{2}\\\\x=\frac{120}{2} \\\\x=60\ miles\ per\ hour[/tex]
[tex]60+24=84\ miles\ her\ hour[/tex]