The value of the function is f(−1)=6.
A function is defined as a relation between a set of inputs having one output each.
In this problem, we are given a function f(x) = x+7 and we are asked to evaluate f(-1)
Recall that f(x) = y.
When we evaluate functions, we substitute the given x-value to find the corresponding y-value of the functionWhen evaluating functions using function notation the number in place of the "x" in "f(x)" is the number that you plug into the x of your function.
So, if f(x)=x+7 then
f(−1)=(−1)+7
Therefore, f(−1)=6
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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.
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if I worked all year and made $ 500000how much would i of made each month ??
Hannah makes $8.75 per hour. She works 30 hours per week. Find:
a. Her weekly pay
b. Her monthly pay
c. Her yearly pay
can someone explain this?
The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given:
Hannah makes $8.75 per hour.
If she works 30 hours per week then
So, her weekly pay
=30*8.75
=262.5
Then her monthly pay
=4* 262.5
=1050
Then the yearly pay would be
=12* 1050
= 12600
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is 2 to the negative 3rd power rational
Answer:
-8
Step-by-step explanation:
Yes, it is rational. It's an integer.
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.
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Pls help I’m not sure what this is.
The sum of an integer and 3 times the next consecutive integer is -29. Find the value
of the lesser integer.
Answer:
[tex]x = -8[/tex]
Step-by-step explanation:
Let [tex]x[/tex] be the integer, then the consecutive integer is [tex]x + 1[/tex]. "3 times the next consecutive integer" means we should multiply [tex]x + 1[/tex] (the consecutive integer) by 3, giving us [tex]3 ( x + 1)[/tex].
We are told that the sum of [tex]x[/tex] and [tex]3(x + 1)[/tex] gives -29. Therefore, we can build an equation.
The sum of [tex]x[/tex] and [tex]3(x + 1)[/tex] can be expressed as [tex]x + 3(x + 1)[/tex].
Therefore,
[tex]x + 3(x + 1) = -29 \text{ // Distribute 3(x + 1)}\\x + 3 \times x + 3 \times 1 = -29\\\to x + 3x + 3 = -29 \text{ // Simplify}\\\to 4x + 3 = -29 \text{ // Subtract 3 from both sides}\\4x + 3 - 3 = -29 - 3\\\to 4x = -32 \text{ // Divide by 4 on both sides}\\\frac{4x}4 = -\frac{32}4\\\to x = -8[/tex]
There are 20 kids at Jacob's halloween party. 1/2 of the kids are in superhero costumes. 1/4 of the kids are witches or wizards. The rest are pirates. How many pirates are at the party?
Answer:
Total number of kids = 20
1/2 are in super hero costumes
= 1/2×20
= 10
1/4 are witches or wizards
= 1/4 ×20
= 5
Pirates= 20 - (10 + 5)
= 20 - 15
= 5
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
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
Which equation has no solution?
6x - 9 = 9x- 6
6 - (2x + 3) = -4 (x + 1) + 7
6x + 8 = 3 (2x + 4)
-3 + 4x = 13
Answer: Option C. 6x+8=3(2x+4)
Step-by-step explanation:
Solution = S
No Solution = NS
( S ) A. 6x - 9 = 9x - 6
6x - 9 + 9 = 9x - 6 + 9
6x = 9x + 3
6x - 9x = 9x + 3 - 9x
-3x = 3
-3x/-3 = 3/-3
x = -1( S ) B. 6 - (2x+3) = -4 (x + 1 ) + 7
6 - (2x+3)
6 - 2x - 3
-2x + 3
-2x + 3 = -4x + 3
-2x + 3 - 3 = -4x + 3 - 3
-2x = -4x
-2x + 4x = -4x +4x
2x = 0
2x/2 = 0/2
x = 0( NS ) C. 6x + 8 = 3 (2x +4)
6x + 8 = 6x + 12
6x + 8 - 8 = 6x + 12 - 8
6x = 6x + 4
6x - 6x = 6x + 4 - 6x
0 = 4
The sides aren't equal; there is no solution( S ) D. -3 + 4x = 13
-3 + 4x + 3 = 13 + 3
4x = 16
4x/4 = 16/4
x = 4Which equation represents a line which is parallel to the line ?3x+4y=-4?
A : Y=4/3 x +6
B: Y=4/3 x +8
C: y=3/4x-3
D: Y = -3/4x +7
If (x + 2)2 = 49, then x + 2 = 7 True O False
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.
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
Find an ordered pair that satisfies the equation 3x + y = 11.
Answer:
(1, 8)
many possible answers
Step-by-step explanation:
to find an ordered pair to satisfy the equation means to find x and y to make the equation true
we can start off by putting x as 1
3(1) + y = 11
3 + y = 11
then subtract 3 to both sides
y = 8
you must put them in (x, y) form
so
(1, 8) is one of many possible answers
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.
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View the image below and solve.
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.
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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.
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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?
The question is in the screenshot
Answer:
The limit is equal to 0.
Step-by-step explanation:
f(x) will approach a much larger value than g(x) as x approaches infinity, meaning the fraction will approach 0.
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
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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
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
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]
Select the correct answer from each drop-down menu.
You can measure the ____ between points A and B by using ____ as zero.
First blank
1-positive distance
2-negative distance
3-positive or negative distance
Second blank
1-only point b
2-only point A
3-either point
You can measure the 1-positive distance between points A and B by using 3-either point as zero.
What is the distance?Distance means a distance magnitude or a direction vector.
Distance between points A and B is a distance magnitude, which can never be negative because it is the amount of space between the two points. It does not take into account the direction of the displacement.
The distance between points A and B shows the size of the displacement. The distance will remain the same whether measured from point A or from point B.
Thus, measuring the points between A and B can start from any of the points, and the measured distance is always positive.
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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:
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Is f(x)=x^2 a polynomial function?
Explain your answer
Answer:
For example, f(x)=2 is a constant function and f(x)=2x + 1 is a linear function. It is important to notice that the graphs of constant functions and linear functions are always straight lines. We have already said that a quadratic function is a polynomial of degree 2
Step-by-step explanation:
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.
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