given the following linear function sketch the graph of the function and find the domain and range f(x) =2/7x-2
Answers
By using the concept of function, it can be concluded that-
The domain and range of the given function is the set of real numbers
What is a function
A function from A to B is a rule that assigns to each element of A a unique element of B. A is called the domain of the function and B is called the codomain of the function.
There are different operations on functions like addition, subtraction, multiplication, division and composition of functions.
Here the given linear function is
f(x) =[tex]\frac{2}{7}x - 2[/tex]
The graph has been attached here
As the given function is a linear function with a non zero slope, the domain and range is the set of real numbers.
So, the domain and range of the given function is the set of real numbers
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Related Questions
You make $30,000.00 and your spouse makes $35,000.00. using the 20% range, calculate the least and greatest amount you spend on housing
Answers
30,000 x 0.20 = $6,000 least amount
30,000 +35,000 = 65,000
65000 x 0.20 = $13,000 greatest amount
Eliza Savage received a statement from her bank showing a checking account balance of $324.18 as of January 18. Her own checkbook shows a balance of $487.38 as of January 29. The bank returned all of the cancelled checks but three. The amounts of these three checks are $15.00, $77.49, and $124.28. How much did Eliza deposit in her account between January 18 and January 29?
Answers
3 checks total : 15.00 + 77.49 + 124.28 = 216.77
that amount will still need to be deducted from the bank
so 324.18- 216.77=107.41
her checkbook has a total of 487.38
487.38-107.41 = 379.97 is the amount she deposited into her account
Answer:
The amount she deposited in her account between January 18 and January 29 is $379.97
Step-by-step explanation:
Given :
Eliza showing a checking account balance of $324.18 as of January 18.
Her own checkbook shows a balance of $487.38 as of January 29.
The bank returned all of the cancelled checks but three. The amounts of these three checks are $15.00, $77.49, and $124.28.
To Find : Eliza deposit in her account between January 18 and January 29.
Solution :
Eliza showing a checking account balance of $324.18 as of January 18.
Total amount of three checks = $15.00 + $77.49+ $124.28 =$216.77
The account balance after the deduction of three checks amount
= $324.18 -$216.77 = $107.41
So, the new balance is $107.41.
Her own checkbook shows a balance of $487.38 as of January 29.
So, the amount she deposited between January 18 and January 29
= $487.38-$107.41 = $379.97
Hence , The amount she deposited in her account between January 18 and January 29 is $379.97
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Answers
Please Help ASAP!
Will award brainliest!
Answers
ratio of AB to DE = 30/6 = 5
do 24/6 = 4
x = 4
The points in a coordinate plane are reflected in the y-axis. In general, every point (x, y) is mapped onto what point? (___,___)
Answers
In a Cartesian coordinate system, a point (x, y) reflected over the y-axis is mapped to the point (-x, y), as the x-component changes direction in the reflection while the y-component remains the same.
Explanation:When a point is reflected across the y-axis in a Cartesian xy-coordinate system, which has orthogonal directions defined by the unit vectors i and j for the x and y axis respectively, the coordinates of the point change in a specific way. For every point whose coordinates are initially (x, y), after being reflected over the y-axis, the resultant point will have coordinates (-x, y).
This happens because the reflection over the y-axis effectively reverses the direction of the x-component of the point's position vector, changing its sign from positive to negative or vice-versa, while leaving the y-component unaffected. Therefore, after reflection, a point (x, y) is mapped onto the point (-x, y).
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Find the midpoint of A and D. Simplify completely.
option 5 is none of these.
Answers
A = (1,3)
D= (5,0)
midpoint = (x1+x2)/2 , (y1+y2)/2
5+1=6/2 =3
3+0=3/2 = 3/2
(3,3/2)
The table below shows 10 data values:
88
92
94
80
85
90
72
83
93
91
What is the five-number summary for these data?
Minimum = 72, Q1 = 83, median = 89, Q3 = 92, maximum = 94
Minimum = 80, Q1 = 85, median = 89, Q3 = 91, maximum = 93
Minimum = 80, Q1 = 83, median = 90, Q3 = 92, maximum = 93
Minimum = 72, Q1 = 85, median = 90, Q3 = 91, maximum = 94
Answers
72 80 83 85 88 90 91 92 93 94
From the arrangement, we can see that the minimum is 72 and the maximum is 94. Next, the median is the middle number of the data. Since there are 10 data points, we take the average of the middle 2 numbers. The median is (88+90)/2 = 89.
When you talk about the quartiles, you draw divisions in your set. Q₁ is the middle data between the smallest and the median; Q₂ is the median; and Q₃ is the middle data between the largest and the median.
72 80 83 85 88 | 89 | 90 91 92 93 94
Q₁ is 83
Q₂ is 89
Q₃ is 92
Therefore, in summary, the answer is: Minimum = 72, Q1 = 83, median = 89, Q3 = 92, maximum = 94
Which of the sums below can be expressed as 8(2 + 7) 2+56......10+15.....16+7......16+56
Answers
8(2 + 7) = 8*2 + 8*7 = 16 + 56
Answer:
The correct answer is D) 16+56
Step-by-step explanation:
Three painters can paint three walls in three minutes. how many painters are needed to paint 27 walls in nine minutes?
Answers
To paint 27 walls in 9 minutes, you would need 9 painters working at the same speed. This is based on the proportional relationship that each painter can paint 1 wall in 3 minutes.
Explanation:This problem can be solved with a clear understanding of proportions. Given that 3 painters can paint 3 walls in 3 minutes, it implies that each painter can paint 1 wall in 3 minutes.
Thus, in 9 minutes, a single painter can paint 3 walls.
Therefore, to paint 27 walls in 9 minutes, we would need 27/3 equals 9 painters.
It is important to note that this implies all painters are working at the same speed. This is a simple and practical example of proportions in mathematics
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A wooden plank of length x is cut into 8 sections such that each section is at most 2 1/2 meters long. What is the length of the entire plank in meters?
a x ≤ 3.2 meters
b x ≤ 20 meters
c x ≥ 10.5 meters
d x ≥ 20 meters
Answers
Answer:
b
Step-by-step explanation:
Maximal use of bezels, gradients, and drop shadows make an interface highly user friendly True False
Answers
FALSE
Using too much image effects can make an interface not user-friendly.
Solve the equation by extracting the square roots. when a solution is irrational, list both the exact solution and its approximation rounded to two decimal places.
Answers
In this case,
x^2 - 196 = 0
x^2 = 196
we take the square root of both sides in order to extract x
square root x^2 = square root 196
x = +- 14
there are two roots in this function which are positive and negative numbers.
square of a positive number leads to a positive number while the square of a negative number also yields to a positive number.
Find the terminal point p(x y) on the unit circle determined by the given value of t. t = -3 pi / 2
Answers
the terminal point on the unit circle for pi/2 is (0,1)
so that means the terminal point for -3pi/2 is also (0,1).
Answer:
It is B, just got it on a p e x
Step-by-step explanation:
A (-1,0)
B (0,-1)
C (1,0)
D (0,1)
If f(x)=4^x , which statements are true of g(x)? Check all that apply
Answers
Check the 4th box; the graph is translated down 1 unit because the y goes down by 1.
The true statements about functions f(x) and g(x) are:
b. g(x) = 4^x - 1d.The function f(x) is translated 1 units down to get the function g(x) How to determine the true statements?The function f(x) is given as:
f(x) = 4^x
From the table of values, we can see that the function g(x) is 1 less than the function f(x).
This means that:
g(x) = f(x) - 1
This can be rewritten as:
g(x) = 4^x - 1
In transformation, it means that the function f(x) is translated 1 units down to get the function g(x)
Hence, the true statements are: b and d
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Saving account has a principal of 1,800.00 it earns 6 percent interest compounded semiannually. How much is the compound interest after 1 year
Answers
A=p (1+r/k)^kt
A future value?
P principle 1800
R interest rate 0.06
K compounded semiannual 2
T time 1 year
A=1,800×(1+0.06÷2)^(2×1)
A=1,909.62
Now find the compound interest
I=A-p
I=1,909.62−1,800
I=109.62
A pet store has k tanks of fish. Each tank has 30 fish. Using k, write an expression for the total number of fish in the store.
Answers
Total number of fish=[number of tanks]*[number of fish in each tank]
f(k)=k*30
f(k)=30k
the answer is f(k)=30k
The Cool Company determines that the supply function for its basic air conditioning unit is S(p) = 40 + 0.008p^3 and that its demand function is D(p) = 200 - 0.16p^2, where p is the price. Determine the price for which the supply equals the demand.
Answers
S(p) = D(p)
40 + 0.008p³ = 200 - 0.16p²
We transpose all the terms to left side of the equation.
0.008p³ + 0.16p² - 160 = 0
Then, we factor out the given function. This can either be done through long division or synthetic division. Divide the equation by 0.008.
p³ + 20p² - 20000 = 0
One of the roots of the equation is 21.86. This is the only real root of the equation and the rest are imaginary.
Hence, the price should be approximately $21.86 before the demand and supply is breakeven.
Use the graph below to answer the question that follows:
graph of curve that passes through the following points, 0, 5; pi over 2, 2; pi, negative 1; 3 pi over 2, 2; 2 pi, 5.
What is the rate of change between the interval x = π and x = three pi over two?
Answers
The rate of change between x = π and x = three pi over two is 6/π.
Explanation:The rate of change between the interval x = π and x = three pi over two can be found by calculating the slope of the line connecting these two points on the graph. In this case, we can calculate the slope by finding the difference in y-values and dividing it by the difference in x-values:
Slope = (y₂ - y₁) / (x₂ - x₁) = (2 - (-1)) / (π - 3π/2) = (2 + 1) / (3π/2 - π) = 3 / (π/2) = 6 / π
Therefore, the rate of change between the interval x = π and x = three pi over two is 6/π.
The rate of change between x = π and x = three pi over two is 6/pi.
Explanation:The rate of change between the interval x = π and x = three pi over two can be found by determining the slope of the line connecting the two points on the graph corresponding to these x-values.
Using the coordinates (pi, -1) and (3 pi over 2, 2), we can calculate the slope as follows:
Slope = (change in y)/(change in x) = (2 - (-1))/(3 pi over 2 - pi) = 3/(pi/2) = 6/pi
So, the rate of change between x = π and x = three pi over two is 6/pi.
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You thought the balance in ur cheking account was $68. When your bank statement arrives, you realize that you forgot to record a chem. The bank statement lists your balance as $26. Write and solve an equation to find out the amount of the chem that you forgot to record.
Answers
Answer is $42
Final Answer:
The amount of the check that you forgot to record is $42.
Step-by-step explanation:
Let x represents the amount which is forgotten in recording.
Bank balance + Amount of money forgotten in recording = Balance while checking account
26 + x = 68
x = 68 - 26
x = 42
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Solve for x.
3:12 = x:16
2 1/4
4
64
Answers
We can set up a proportion to solve this
[tex] \frac{3}{12} \frac{x}{16} [/tex]
Cross multiply
3 x 16 = 48
48/12 = 4
The answer is 4
Hope this helps! :)
Answer:
[tex]x=4[/tex]
Step-by-step explanation:
we have
[tex]\frac{3}{12}=\frac{x}{16}[/tex]
solve for x
Cross multiply
[tex]12*x=3*16\\x=3*16/12\\x=48/12\\x=4[/tex]
Find the circumference of a circle that has an area of 452.16 square meters. (Use 3.1416 as the value of π.)
Answers
Final answer:
The circumference of a circle with a given area is 75.40 meters
Explanation:
To find the circumference of a circle, we can use the formula C = 2πr, where C is the circumference and r is the radius. First, we need to find the radius from the given area.
The formula for the area of a circle is [tex]A = \pi r^2[/tex]
Rearranging the formula, we get [tex]r = \sqrt{(A/\pi \p).[/tex]
Now, substitute the given area (452.16 square meters) into the formula and solve for r:
[tex]r = \sqrt{(452.16/3.1416)[/tex]
= 12.00 meters
Finally, plug the value of r into the circumference formula:
[tex]C = 2\pi (12.00)[/tex]
= 75.40 meters
Help^^^^^^^^^^^^^^^^^
Answers
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Work Shown:
I'm assuming the problem is -4*(1-x) <= -12+2x where the first term is -4 and not 4
-4*(1-x) <= -12+2x
-4*(1-x) <= -12+2x
-4+4x <= -12+2x
-4+4x-2x <= -12+2x-2x
-4+2x <= -12
-4+2x+4 <= -12+4
2x <= -8
2x/2 <= -8/2
x <= -4
To graph x <= -4, you plot a closed circle at -4. Then you shade to the left of the closed circle. This matches with choice D
Which one of the following tin-lead soldiers has the lowest melting point? A. 60/40 B. 70/30 C. 40/60 D. 50/50
Answers
Based on this, the soldier with the lowest melting point is the one with the highest tin ratio.
Answer : (B) 70/30
Jonathan sets a camera on a tripod to film birds in a nest. The camera is 1.8 m off the ground and 16.4 m away from the tree. The angle of elevation from the camera to the bird’s nest is 29°. How far above the ground is the bird’s nest? Round your answer to the nearest tenth of a meter. 7.3 m 9.1 m 10.9 m 14.3 m
Answers
n=16.4tan29°+1.8
n≈10.9 meters (to nearest tenth of a meter)
we need to find the area of the other leg
alright
we have one leg is 16.4
the other one is ?
tan(29°)=?/16.4
16.4tan(29°)=?
and the height of the nest is ?+height of camera=?+1.8
so
16.4tan(29°)+1.8≈10.8907
so about 10.9m
(02.02 LC)
Figure ABCD is rotated by 180 degrees about the origin in the counterclockwise direction to obtain figure A′B′C′D′:
Which statement best compares the lengths of the sides of the two figures?
Length of AB = Length of C′D′
Length of CD = Length of A′B
′ Length of CD = Length of B′C′
Length of AB = Length of A′B′
Answers
Length AB=Length A'B'
Which of the following is quantitative data?
eye colors of a group of people
hair colors of a group of people
heights of a group of people
genders of a group of people
Answers
Find the radius of a circle with an x-intercept of -2 if the circle’s center is (2,3) on a coordinate plane.
5
25
16
9
Answers
let : A(2;3) and : P(-2; 0)
the radius of a circle is : AP = √((2+2)² +(3-0)²)=√25 = 5
Radius of the circle is option (1) 5 units
What is radius?A radius of a circle or sphere is any of the line segments from its center to its perimeter, and in more modern usage, it is also their length.
What is circle?A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the center
Center of the circle is (2,3) on a coordinate plane,
Radius of the circle with an x intercept of -2
There for the point is (-2,0)
Distance between the (2,3) and (-2,0) = Radius of the circle
Distance between (2,3) and (-2,0)
D= [tex]\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2} }[/tex]
Substitute the values
[tex]D=\sqrt{(-2-2)^{2}+(0-3)^{2} }\\D=\sqrt{16+9} \\D=\sqrt{25}\\ D=5[/tex]
Hence, the radius of the circle is option (1) 5 units
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How much would $120 invested at 86% interest compounded monthly to be worth after 21 years round to the nearest cent
Answers
A=p (1+r/k)^kt
A future value?
P present value 120
R interest rate 0.86
K compounded monthly 12
T time 21 year
A=120×(1+0.86÷12)^(12×21)
A=4,510,568,953.1372
Hiram raises earthworms. In a square of compost 4 ft by 4 ft, he can have 1000 earthworms. How many earthworms can he have if his square of compost has a side length that is 8 times longer?
A. 8000
B. 64,000
C. 256,000
D. 32,000
Answers
area=length times widtha
rea=4 times 4=16 square feet
so every 16 square feet is 1000 earthworms
so ratio of worms to area is 1000:16
if each side length is 8 then
8 times 8=64 area
but how many worms?
1000:16=?:64
1000/16=?/64
times both sides by 64
64000/16=?
4000=?
wat, not listed? why
if we assume it's a cube then
voluem is 4^3 or 64
1000:64 is the ratio
if 8ft then 8^3=512
so
1000:64=?:512
1000/64=?/512
512000/64=?
8000=?
I guess it was a cube then
A would be the answer
which of the following functions are graphed below
Answers
Answer:
The equation of given graph is f(x)=[x]-6
C is correct
Step-by-step explanation:
We are given a graph and to find the equation of graph.
It is a graph of greatest integer function or floor function.
Parent function of greatest integer function:
[tex]f(x)=[x][/tex]
For x = 0 to x= 1 , f(x)=0
For x =1 to x=2 , f(x)=1
We are given a function,
For x = 0 to x= 1 , f(x)=-6
For x = 1 to x= 2, f(x) = -5
If we shift 6 unit down the parent function. We will get original function.
[tex]f(x)=[x]-6[/tex]
Hence, The equation of given graph is f(x)=[x]-6