Find the equation of the line that contains the point (4, -2) and is perpendicular to the line y =
○ y = -x
Oy=2x-10
O y = -2x+6
Oy=x-4
- 2x + 8.
Answers
Answer:
b
Step-by-step explanation:
Related Questions
−7+4m+10=15−2m solve for m
Answers
Colin Edmond has a $60,000 term life policy. The annual premium is $1,060. Colin pays $96.28 monthly.
(Use a thousands comma where applicable.)
Paying monthly, at the end of 12 months Colin pays $___
Colin pays $___ more monthly than he would annually.
Colin pays (to the nearest percent) ___% more by paying monthly than he would paying annually.
Answers
Paying monthly premium, at the end of 12 months Colin pays $1,155.36
Colin pays $95.36 more monthly than he would annually.
Colin pays (to the nearest percent) 8.99 % more by paying monthly premium than he would paying annually.
What is monthly and annual premium?Premium is the amount of money one has to pay to insurance companies so that they provide us coverage at the time of need.
If we make payments monthly, the the premium is monthly.
If we pay the amount at the end of the year, then the premium is annual.
Given that Edmond has a $60,000 term life policy. The annual premium is $1,060. Colin pays $96.28 monthly.
Monthly premium of Edmond = $96.28
If he pays monthly, then total payment at the end of 12 months
= 12 *$96.28 = $1155.36
Then total payment at the end of 12 months is greater than the annual premium by = 1,156.36 - 1,060 = 95.36
Percentage of extra amount paid when colin paid monthly
= (extra payment made/ annual payment ) *100 = (95.36/1,060)*100 =8.99 %
Therefore, Colin pays 8.99 % more by paying monthly than he would paying annually.
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Suppose you invest a dollars to earn an annual interest rate of r percent (as a decimal). After t years, the value of the investment with interest compounded yearly is A(t)=a(1+r) t . The value with interest compounded continuously is A(t)=a . e rt
a. Explain why you can call e r-1 the effective annual interest rate for the continuous compounding.
Answers
For continuous compounding, the effective annual interest rate is e^r - 1.
What do we mean by continuous compounding formula?When an issue expressly states that the amount is "constantly compounded," the continuous compounding formula should be used.This formula employs the mathematical constant "e," whose value is approximately 2.7182818.The following is the continuous compounding formula:
A = Pe^rtWhere P equals the starting sum, A is the total sum, r equals the interest rate, t = time and e is a mathematical constant.So,
Given: A(t) = a(1+r)^t and A(t) = a.e^rt.
Let the effective rate be R.
Then,
a(1+R)^t = a.e^rt(1+R)^t = e^rt(1+R) = e^rR = e^r - 1Therefore, for continuous compounding, the effective annual interest rate is e^r - 1.
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Suppose that a classroom has 8 light bulbs. The probability that each individual light bulb works is 0. 8. Suppose that each light bulb works independently of the other light bulbs. What is the probability that all eight of the light bulbs work?.
Answers
0.1678 is the probability that all the light bulbs work
Define probability?
Probability is a branch of mathematics and can be defined as the one which deals with the explanation of the possibility of an event to occur or take place. Probability has a range between 0 to 1. In probability, 0 indicates the impossibility of an event to occur and 1 indicates the certainty of that event to occur or take place.
As the light bulbs are not dependent on each other and work independently, the probability that all eight of the light bulbs will work can be calculated by multiplying the probability of each of the eight light bulbs.
As the probability of each of the eight light bulbs to work = 0.8
probability all the eight light bulbs work = 0.8^8
probability all the eight light bulbs work = 0.1678
Hence, 0.1678 is the probability that all the light bulbs work.
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please help i have test tmrw
Answers
Answer:
170 ft²
Step-by-step explanation:
4ft = 48 in
You then multiply 48 by each given side.
48 in · 4.25in = 204 in
Divide by 12 to get answer in feet.
204 in ÷ 12 = 17
So the actual length of the side labeled 4.25 in is 17 ft.
48 · 2.5 = 120
Divide by 12 to get the answer in feet.
120 ÷ 12 = 10
The actual length of the side labeled 2.5in is 10 ft.
Area= L x W
Area= 17ft · 10ft = 170 ft²
A commuter train has 8 cars with a maximum occupancy of 56 passengers each and 3 cars with a maximum occupancy of 40 passengers each
Answers
The maximum occupancy of the commuter train is 568 passengers
How to determine the maximum occupancy of the commuter train?The given parameters can be represented using the following table of values
1 2
Passenger 56 40
Cars 8 3
The maximum occupancy of the commuter train is then calculated as
Maximum occupancy = Sum of (Passengers * Cars)
So, we have
Maximum occupancy = 56 * 8 + 40 * 3
Evaluate the products in the above equation
So, we have
Maximum occupancy = 448 + 120
Evaluate the sum in the above equation
So, we have
Maximum occupancy = 568
Hence, the maximum occupancy of the commuter train is 568 passengers
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Solve the equation −14 + x = −19 for x.
33
5
−5
−33
Answers
Answer:
X=-5 :)
Step-by-step explanation:
Answer:
-5
Step-by-step explanation:
14+5=19, so -14+ -5= -19
The midpoint of AB is M(0, 6). If the coordinates of A are (2, 5), what are the
coordinates of B?
Answers
hope this helps!
On the first day of June, there were about 16.81 h of daylight in a city. Five months later, there were about 8.10 h of daylight. What was the
percent decrease?
Answers
After five months, the percentage decrease in the daylight is 51.815%
As per the question, On the first day of June, there was 16.81 hours of daylight in a city and five months later, there was 8.10 hours of daylight. We are supposed to find the percent decrease in the daylight.
Percentage increases or decreases are calculated by setting the problem up proportionally.
We are trying to calculate at what percentage of 16.81 is 8.10 first
Let "x" be the percentage required percentage
therefore [tex]\frac{x}{100} =\frac{8.10}{16.81}[/tex]
[tex]x = \frac{8.10*100}{16.81} \\x=\frac{810}{16.81} \\x=48.185%[/tex]
8.10 is approximately 48.185% of 16.81.
So the percentage decrease is [tex]100 - 48.185=51.815[/tex]%
Hence the percentage decrease is 51.815%
Percentage: A ratio or figure stated as a fraction of 100 is called a percentage. It is frequently indicated with the percent sign ("%)").To learn more about percentage, click on the link given below:
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Lisa gathered and shelled 12 lbs of pecans from her backyard. She is going to make 3/4 lb bags of pecans for gifts. How many 3/4 lb bags of pecans can Lisa make?
Answers
Answer: 16
Step-by-step explanation:
12 divided by 3/4. You write 12 and change to multiplication and flip 3/4 to 4/3 and the answer will be 48/3 which equals 16.
When x = 2 and y = 4 what is the vaule of 7x - y?
Answers
explanation:
7(x)-1(y) is another way of writing it.
fill in the missing values.
7(2)-1(4)
solve.
14-4
answer.
10
Answer: 10
Step-by-step explanation:
x = 2
y = 4
equation :
7x - y
after putting the values to the equation :
7(2x) - (4)
7*2 = 14
14 - 4 = 10
The answer is 10.
Which two segments have the same length?
Answers
The two segments which have the same length are: D. segments YZ and VW.
What is a number line?A number line can be defined as a type of graph with a graduated straight line which contains both positive and negative numerical values that are placed at equal intervals along its length.
What is a line segment?A line segment can be defined as the part of a line in a geometric figure such as a triangle, circle, quadrilateral, etc., that is bounded by two (2) distinct points and it typically has a fixed length.
Next, we would determine the length of each segment as follows:
Length of segment WX is given by:
W (-2) and X (3)
WX = 3 - (-2)
WX = 3 + 2
WX = 5
Length of segment YZ is given by:
Y (10) and Z (18)
YZ = 18 - 10
YZ = 8
Length of segment XY is given by:
X (3) and Y (10)
XY = 10 - 3
XY = 7
Length of segment VW is given by:
V (-10) and W (-2)
VW = -2 - (-10)
VW = -2 + 10
VW = 8.
Therefore, segments YZ and VW are equal and have the same length.
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Complete Question:
Which two segments have the same length?
A. segments WX and YZ
B. segments XY and YZ
C. segments VW and XY
D. segments YZ and VW
A line that includes the points (5,6) and (6,v) has a slope of –9. What is the value of v?
Answers
Based on the given task content; the value of v from the points (5,6) and (6,v) which has a slope of –9 is -3
How to find the value of v from the given points and slope?Slope refers the change in y over the change in x.
Slope = Change in y / Change in x
Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given the data in the question;
Slope m = -9
Point 1( 5, 6 )
x₁ = 5
y₁ = 6
Point 2( 6,v )
x₂ = 6
y₂ = v
Substitute the given values into the formula and solve for v.
Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )-9
= ( v - 6 ) / ( 6 - 5 )-9
= ( v - 6 ) / ( 1 )
Cross multiply-9( 1 ) = ( v - 6 )
-9 = v - 6
v = -9 + 6
v = -3
Therefore, the value of v from the points (5,6) and (6,v) which has a slope of –9 is -3
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The numerical value of v in the coordinates of a line that passes through (5,6) and (6,v) with a slope of –9 is -3
What is the numerical value of v?Slope is simply the change in y over the change in x.
Slope = Change in y / Change in x
Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given the data in the question;
Slope m = -9
Point 1( 5, 6 )
x₁ = 5y₁ = 6Point 2( 6,v )
x₂ = 6y₂ = vPlug the given values into the slope formula and solve for v.
Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
-9 = ( v - 6 ) / ( 6 - 5 )
-9 = ( v - 6 ) / ( 1 )
Cross multiply
-9( 1 ) = ( v - 6 )
-9 = v - 6
v = -9 + 6
v = -3
Given the slope and coordinates of the two points of the line, the numerical value of v is -3.
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Evaluate each expression for the given value of the variable.
(x²-x ; x=2)
Answers
After evaluating the expression we get 2.
Given, x² ₋ x
Finding the value of an algebraic expression when a specified number is used to replace the variable is known as evaluating the expression. In order to evaluate an expression, we first replace the expression's variable with the given number, then we streamline the expression using the order of operations.
A procedure called evaluation involves analyzing a program critically. It entails gathering and studying data regarding a program's operations, features, and effects. Its objective is to assess a program, enhance its effectiveness, and/or provide information to help with programming decisions.
substitute the value of x =2
2² ₋ 2
= 4 ₋ 2
= 2
hence we get the answer as 12.
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General Motors stock fell from $41 per share in 2013 to $24.98 per share during 2016.
Answers
24.98 welcome!
———
16.02
If you bought and then sold 300 shares at these prices, then the loss
would be $4,806.
What is subtraction?Subtraction is a mathematical operation. Which is used to remove terms or objects in the expression.
Given:
General Motors' stock fell from $41 per share in 2013 to $24.98 per share in 2016.
You bought and then sold 300 shares at these prices.
The price of 300 shares of General Motors stock in 2013 was:
300 x $41 = $12,300
The selling price of 300 shares of General Motors stock in 2016 was:
300 x $24.98 = $7,494
Therefore, the loss would be the difference between the purchase price and the selling price:
$12,300 - $7,494 = $4,806.
Therefore, the loss would be $4,806.
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The complete question;
General Motors' stock fell from $41 per share in 2013 to$24.98 per share in 2016. If you bought and then sold 300 shares at these prices, what was your loss?
For a sample of 42 rabbits, the mean weight is 5 pounds and the standard deviation of weights is 3 pounds. Which of the following is most likely true about the weights for the rabbits in this sample?
A. The distribution of weights is approximately normal because the sample size is 42, and therefore the central limit theorem applies.
B. The distribution of weights is approximately normal because the standard deviation is less than the mean.
C. The distribution of weights is skewed to the right because the least possible weight is within 2 standard deviations of the mean.
D. The distribution of weights is skewed to the left because the least possible weight is within 2 standard deviations of the mean.
E. The distribution of weights has a median that is greater than the mean.
Answers
Answer:
p + 3.6 > −5.8?
Step-by-step explanation:
CF = FB and AE = EB, CB = 33, AB = 22, DE =
Answers
Answer:
Im letting yall know rn that the answer actually 19 other guys wildn with 14
Step-by-step explanation:
A prism and two nets are shown below:
Image of a right triangular prism and 2 nets. The triangle bases have base 4, height 3, and diagonal side 5. The length of the prism from the bases is 8.6. Net A has 3 rectangles in a row. The middle one has sides AC and CD. This middle one has triangle ABC on top and identical triangle below. Net B is the same except that the triangle base ABC is on top of the last rectangle which has sides AC and CD. Units are in inches.
Part A: Which is the correct net for the prism? Explain your answer.
Part B: Write the measurements of Sides AB, BC, and CD of the correct net.
Part C: What is the surface area of the prism? Show your work.
Answers
Step-by-step explanation:
a) Imagine folding the net into the shape. In this case, Net A can have both triangles fold up, and both rectangles fold in to make the above shape.
b) Side AB on this net is the height of the triangle, 3 inches.
Side BC is the same as the hypotenuse (diagonal) on the triangle, which . is 5 inches.
Side CD is the same as the length of the shape, which is 8.6 inches.
c) Surface area = area of all sides
Triangle = 1/2 bh
= 2*3
= 6 inches squared
There are two triangles, so that adds to 12 inches squared.
Now all of the rectangles:
Left most = 3*8.6
= 25.8 inches squared
Middle = 4*8.6
= 34.4
Right most = 5*8.6
= 43
Now we can add all of this:
43 + 34.4 + 25.8 + 12
= 115.2 inches squared.
This is the surface area of the prism.
Cara has 3 1/4 pounds of ham. If Timothy has 4/5 as much ham as Cara, how many pounds of ham does Timothy have?
Answers
Answer: 2.6 or 2 2/3
Step-by-step explanation:
3 1/4 = 3.25
3.25/5 = 0.65
0.65 x 4 = 2.6 or 2 2/3
3.25/5 = 0.65
0.65 x4 = 2.6 or 2 2/3
Pls help ASAP!! Marking 50 points!
Answers
The volume of the sports drink that they have with them, in whole liters is: d. 30 liters
What is the Volume of a Rectangular Shape?The volume of a rectangular shape, just like the rectangular block in the given problem, can be calculated using the formula:
Volume = (length)(width)(height).
From the information given, the rectangular block's dimensions are:]
Length = 6.0 cmWidth = 4.0 cmHeight = 10.5 cmVolume of one rectangular block = (6.0)(4.0)(10.5)
Volume of one rectangular block = 252 cm³
Convert 252 cm³ to liters:
1,000 cm³ = 1 liters
252 cm³ = 252/1,000 = 0.252 liters
120 packs of 0.252 liters = 120 × 0.252
= 30.24 ≈ 30 liters
Therefore, the volume of the sports drink that they have with them, in whole liters is: d. 30 liters
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Asher pays $158 every 6 weeks for piano lessons. What is the price per year lessons?
Answers
Answer:
$948 will be the price per year lessons
Step-by-step explanation:
Hope it helps you
Answer:
Step-by-step explanation:
$1352 per year
Write each equation in logarithmic form.
10⁻²=0.01
Answers
The equation in logarithmic form is log₁₀(0.01)=−2.
Given the equation is:
10⁻²=0.01
The fundamental logarithmic function has the notation f(x) = log(r) y = log(x), where a > 0. The exponential function ay = x's inverse is represented by this. The common logarithm (log) or natural logarithm (ln) are examples of log functions (log).
Convert the exponential equation to a logarithmic equation using the logarithm base (10)of the right side (0.01) equals the exponent (−2).
A popular method for changing a mathematical equation from one form to another is to transform it from exponential to log form. The exponential form an x = N is translated into the logarithmic form
Log aⁿ= x.The exponent of x, which is equal to N, has the exponential form a to it is converted to the logarithm of a number N to the base of a, which is equal to x.
log₁₀(0.01)=−2
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Phoebe, Andy and Polly share £270
Phoebe gets three times as much as Andy who gets twice as much as Polly.
Work out how much they each get.
Answers
The appropriate choice of ratio will be given by
Polly got £30, Andy got £60, Phoebe got £180
What is ratio?
Ratio determines the comparision among many quantities with the same unit.
Here,
Let Polly got £x
So Andy got £2x and Phoebe got £3(2x) = £6x
Total Amount = £(x + 2x + 6x)
= £9x
By the problem,
9x = 270
x = [tex]\frac{270}{9}[/tex]
x = 30
So Polly got £30,
Andy got £(2 * 30) = £60
Phoebe got £(6 * 30) = £180
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The perimeter of a rectangular pool is 160 meters. The length of the pool is 20 meters more than its width. What is the length?
Answers
The length of the rectangular pool is 50 meters
How to determine the value
The formula for perimeter of a rectangle is expressed as;
Perimeter = 2 ( l + w)
Where:
l is the lengthw is the widthFrom the information given, we have;
Perimeter = 160 meters
Length = 20 + w
Substitute into the formula
160 = 2( 20 + w+ w)
expand the bracket
160 = 2(20 + 2w )
160 = 40 + 4w
collect like terms
160 - 40 = 4w
4w = 120
w = 120/ 4
w = 30 meters
But length = 20 + w = 20 + 30 = 50 meters
Thus, the length of the rectangular pool is 50 meters
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Dan will begin advertising his video production business online using a pay-per-click method, which charges $ 30 as an initial fee, plus a fixed amount each time the ad is clicked. Dan estimates that with the cost of 8 cents per click, his ad will be clicked about 150 times per day. Which expression represents Dan's total estimated cost of advertising, in dollars, after x days?
(F) (30+0.08 x) 150
(G) 360 x
(H) 30+1200 x
(I) 30+12 x
Answers
Total estimated cost for advertising= 30 +12x
The initial fees for ad is given= $30
And the fixed amount per click = 8 cents
Total number of click ad per day= 150
We know that,
$1= 100 cents
So 8 cents= $0.08
Now we will find the total estimated cost of advertising in dollars for x days.
Total estimated cost= The initial fees + charge per click ×total clicks ×total days
⇒ $30 + 0.08×150×x
⇒ 30+ 12x
Hence the answer is option( I) 30+12x.
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A recipe calls for cup of four and teaspoons of cooking oil. At this rate, how many teaspoon
of cooking oil are needed if 1 cup of flour is used? Give your answer in fraction form
Answers
Based on the number of cups of flour and the number of teaspoons of cooking oil, if 1 cup of flour is used, the number of teaspoons of cooking oil needed is 2 / 5 teaspoons of cooking oil
How to find the quantity of oil needed?When 5 cups of flour are used, then 2 teaspoons of cooking oil are needed by the recipe.
If there is only 1 cup of flour being used therefore, the number of teaspoons of cooking oil needed will be:
= Number of teaspoons needed for 5 cups / Number of cups of flour needed
= 2 / 5 teaspoons of cooking oil
First part of question is:
A recipe calls for 5 cups of four and 2 teaspoons of cooking oil.
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I need help
who can help
Answers
Is there an attachment? I don't get the worksheet!
4. Find the lowest number which is exactly divisible by 12 and 18.
Answers
Answer:
36
Step-by-step explanation:
36÷12=3
36÷18=2
Please helpppppp hurry
60 points only if right
Answers
The coordinates of four points on each of the lines are:
6. (1, 4), (2, 9), (3, 14), (4, 19)
7. (1, 7), (2, 6), (3, 5), (4, 4)
8. (1, 0.5), (2, 0.7), (3, 0.9), (4, 1.1)
9. (1, -1.5), (2, 0), (3, 1.5), (4, 3)
10. (1, 4.5), (2, 5), (3, 5.5), (4, 6)
11. (0, -5), (3, -3), (6, -1), (9, 1)
12. (0.1, 34), (0.2, 38), (0.3, 42), (0.4, 46)
How to Determine the Coordinates that Lie on a Line?The equation of a line in slope-intercept form where m = slope and b = y-intercept is written as:
y = mx + b.
To find the coordinates, plug in x-values to find the corresponding y-values the equation of the line would give.
6. Slope (m) = 5
y-intercept (b) = -1
Equation of the line: y = 5x - 1
Substitute x = 1, 2, 3, and 4, into the equation to find their corresponding y-values:
y = 5(1) - 1
y = 4
y = 5(2) - 1
y = 9
y = 5(3) - 1
y = 14
y = 5(4) - 1
y = 19
The coordinates of four points on the line are:
(1, 4), (2, 9), (3, 14), (4, 19)
7. Slope (m) = -1
y-intercept (b) = 8
Equation of the line: y = -x + 8
Substitute x = 1, 2, 3, and 4, into the equation to find their corresponding y-values:
y = -(1) + 8
y = 7
y = -2 + 8
y = 6
y = -3 + 8
y = 5
y = -4 + 8
y = 4
The coordinates of four points on the line are:
(1, 7), (2, 6), (3, 5), (4, 4)
8. Slope (m) = 0.2
y-intercept (b) = 0.3
Equation of the line: y = 0.2x + 0.3
Substitute x = 1, 2, 3, and 4, into the equation to find their corresponding y-values:
y = 0.2(1) + 0.3
y = 0.5
y = 0.2(2) + 0.3
y = 0.7
y = 0.2(3) + 0.3
y = 0.9
y = 0.2(4) + 0.3
y = 1.1
The coordinates of four points on the line are:
(1, 0.5), (2, 0.7), (3, 0.9), (4, 1.1)
9. Slope (m) = 1.5
y-intercept (b) = -3
Equation of the line: y = 1.5x - 3
Substitute x = 1, 2, 3, and 4, into the equation to find their corresponding y-values:
y = 1.5(1) - 3
y = -1.5
y = 1.5(2) - 3
y = 0
y = 1.5(3) - 3
y = 1.5
y = 1.5(4) - 3
y = 3
The coordinates of four points on the line are:
(1, -1.5), (2, 0), (3, 1.5), (4, 3)
10. Slope (m) = 1/2
y-intercept (b) = 4
Equation of the line: y = 1/2x + 4
Substitute x = 1, 2, 3, and 4, into the equation to find their corresponding y-values:
y = 1/2(1) + 4
y = 4.5
y = 1/2(2) + 4
y = 5
y = 1/2(3) + 4
y = 5.5
y = 1/2(4) + 4
y = 6
The coordinates of four points on the line are:
(1, 4.5), (2, 5), (3, 5.5), (4, 6)
11. Slope (m) = 2/3
y-intercept (b) = -5
Equation of the line: y = 2/3x - 5
Substitute x = 0, 3, 6, and 9, into the equation to find their corresponding y-values:
y = 2/3(0) - 5
y = -5
y = 2/3(3) - 5
y = -3
y = 2/3(6) - 5
y = -1
y = 2/3(9) - 5
y = 1
The coordinates of four points on the line are:
(0, -5), (3, -3), (6, -1), (9, 1)
12. Equation of the line: y = 40x + 30
Substitute x = 0.1, 0.2, 0.3, and 0.4, into the equation to find their corresponding y-values:
y = 40(0.1) + 30
y = 34
y = 40(0.2) + 30
y = 38
y = 40(0.3) + 30
y = 42
y = 40(0.4) + 30
y = 46
The coordinates of four points on the line are:
(0.1, 34), (0.2, 38), (0.3, 42), (0.4, 46)
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Complete the inequality below to describe the domain of the graph shown. Domain: < x < 4
Answers
Domain: -4 is less than x which is less than or equal to 4
Range: -2 is less than or equal to y which is less than 5
What is domain and range ?
The bis the set of possible input values, and the range is the set of all possible output values of the graph
The completed inequality representing the set of the domain and range are presented as follows;
Given:
Question The graph of the question appear missing and the required graph to complete the question is attached here
Solution:
From the attached graph, we have that there is an open circle at the point (-4, 5), which represents that there is no value at the point
However, at the other end of the graph, which is the point (4, -2), we have a closed circle, which represents that the graph has a value at the point (4, -2)
Part A
The domain of a graph are the possible input (x-values) of the graph, in inequality format, the domain of the attached graph is -4 < x ≤ 4
Therefore;
To complete the inequality for the domain, gives;
Domain: -4 is less than x which is less than or equal to 4
Part B
The range of a graph are the possible output (y-values) of the graph, in inequality format, the domain of the attached graph is -2 ≤ y < 5
To complete the inequality for the domain gives;
Range: -2 is less than or equal to y which is less than 5
Learn more about the domain and range of a graph here:
brainly.com/question/15164206
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