Answers
Model III represents a function by vertical line test.
What is Vertical line test?
The vertical line test is a graphical method of determining whether a curve in the plane represents the graph of a function by visually examining the number of intersections of the curve with vertical lines.
The vertical line test concludes that a curve in the plane represents the graph of a function if and only if no vertical line intersects it more than once.
According to the given question:
Graph I has vertical line intersections more than one on many points of the curve. Therefore, Graph I does not represents a function.
Model II has two values for the domain point that is -5 has two images 2 and 10. Hence it does not represents a function.
Graph III has only one intersection by vertical lines on the curve. Therefore, Graph III represents a function.
Graph IV has two intersection points if a vertical line passes through the curve. Hence, Graph IV does not represents a function.
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Related Questions
Is the line through points P(8, 4) and Q(6, –1) parallel to the line through points R(1, –4) and S(4, 5)? Explain.
Answers
Answer:
No, the lines are not parallel
Step-by-step explanation:
They are not parallel because the slopes of the lines are not equal.
Tyler has two cube-shaped storage spaces in his apartment building, one large and one
small. The small storage space has a volume of 12 ft". Tyler wants to know the total
volume of both storage spaces.
What is the total volume of both storage spaces if one side of the large storage spaces is 4 feet long?
Answers
Answer:
76 ft^3
Step-by-step explanation:
A volume of small box = 12 ft^
A volume of large box = 4×4×4= 64 ft^
the sum of volume = 12+64=76 ft^3
Expand (1 + √2)(3-√2)
Answers
Answer: 1⋅3+1(−√2)+√2⋅3+√2(−√2)
Step-by-step explanation:
2X-Y=4
x=4-y
please explain each step
Answers
Step-by-step explanation:
2X-Y=4 ---------(1)
x=4-y---------(2)
since x = 4 – y just substitute for eqn 1
2(4–y) – y = 4
8 – 2y –y=4
8 –3y = 4
–3y=4–8
–3y=–4
y=–4/–3
y= 4/3
since y = 4/3 just substitute for y in eqn (2)
x=4–4/3
multiply both sides by 3
3x=12–4
3x=8
x=8/3 or 2 2/3
find an equation of the tangent line to the graph of y = e−x2 at the point 2, 1 e4 .
Answers
You manage a staff of 9 employees. Each employee has equally done an excellent job this year. If upper management has allotted a bonus for your department of $30,000, what dollar bonus amount would each employee get if divided equally (round to nearest dollar)?.
Answers
The amount that each employee will get out of the bonus to your department will be $3,000.
What will each employee get?
You manage a staff of 9 employees in your department which means that there are 10 people in total.
The amount that each person will get from the bonus will therefore be:
= 30,000 / 10 employees
= $3,000
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Find the midpoint of the segment with the following endpoints
(5,5) and (1,1)
Answers
The midpoint of the segment given (5,5) and (1,1) is (3, 3).
What is midpoint?In geometry, the midpoint is the middle point of a line segment. It is equidistant from both endpoints, and it is the centroid both of the segment and of the endpoints. It bisects the segment.
Coordinates of the midpoint of the line joining the points (x₁,y₁) and (x₂,y₂)= [(x₁ + x₂)/2 , (y₁ + y₂)/2].
The midpoint of the line segment with endpoints (5,5) and (1,1)
= [ ( 5 + (1))/2 , ((5) + 1)/2 ]
= [ (6)/2 , 6/2 ]
= [ 3, 3
Therefore, the midpoint of the line segment with endpoints is (3, 3).
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can you solve please
Answers
Find the nth term of this quadratic sequence
2, 8, 18, 32, 50, ...
Answers
The nth term of the given quadratic sequence is 2n².
What is quadratic sequence?
The ordered sets of numbers known as quadratic sequences are based on the rule n^2 = 1, 4, 9, 16, 25,.... (the square numbers). Every quadratic sequence has a n^2 term.
Consider, the given quadratic sequence
2, 8, 18, 32, 50, ...
we have to find nth term of this quadratic sequence ; 2 , 8 , 18 , 32, 50, ...
To find the nth term, we have to find the relation between the given terms.
here we see,
1st term = 2 = 2 × 1 × 1 = 2 × 1²
2nd term = 8 = 2 × 2 × 2 = 2 × 2²
3rd term = 18 = 2 × 3 × 3 = 2 × 3²
4th term = 32 = 2 × 4 × 4 = 2 × 4²
similarly 5th term = 2 × 5² = 2 × 25 = 100
...........
so nth term = 2 × n² = 2n²
Hence, the nth term of the given quadratic sequence is 2n².
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I WILL GIVE BRAINLIEST TO THE CORRECT PERSON AFTER 2 PEOPLE ANSWERRRR
Answers
Answer:
x=42
Step-by-step explanation:
Figure A has been scaled by 2/7, so we know that[tex]x * 2/7 = 12.[/tex] Multiplying both sides by 7 gives us [tex]2x = 84[/tex]. Dividing both sides by 2 gives us that x = 42. This is our answer.
Answer: 42
Step-by-step explanation:
2/7x=12
x = 12 * 7/2
x=84/2
x=42
-3x²+x+ 5 = 0
A.-3+ 24
6
B.-5+√8
2
C.-1+√61
-6
D. 3+√12
10
K
Answers
Answer:
c is your answer
Step-by-step explanation:
x = 1 +_ √61/6
Can you name the angle pairs and type the correct code? Please remember to type in ALL CAPS with no spaces.
Answers
Answer:
AGDB
Step-by-step explanation:
Pair 1: Alternate interior
Pair 2: Alternate exterior
Pair 3: Same-side interior
Pair 4: Same-side exterior
Show how u got all the answers
Solve for y
1. -2y + 7 = -5
Solve for x
2. -3(x + 5 = -9
3. X+(/2.5= -7.79
Solve for n
4. 3.33 + 2n = -7
Answers
Answer: 1. y = 6
2. x = -2
3. X = -10.29
4. n = -5.165
Step-by-step explanation:
1. -2y + 7 = -5
-2y + 7 - 7 = -5 - 7
-2y = -12
y = 6
2.-3(x + 5) = -9
3(x+5) = 9
x+5 = 3
x = 3 - 5
x = -2
3. X+2.5= -7.79
X= -7.79 - 2.50
X = -10.29
4. 3.33 + 2n = -7
3.33 - 3.33 + 2n = -7 - 3.33
2n = -10.33
n = -5.165
50 POINTS IF ANSWERED PLS!!!!!
triangle ABC is an isosceles triangle. find the missing angles and side measures.
Answers
Angle A = 40 degrees
Angle C = 70 degrees
Side AC = 12 cm
Brainliest + ten points to first correct answer! word problem
The project manager for the state department of highways has two beds for the resurfacing of a 10 mile stretch of highway. The first company gives a bit of $120,000 per mile and will guarantee the web for eight years. The second company bids the word for $150,000 per mile using a new asphalt material made from used tires. The second company will guarantee the work for 12 years. Determine the price per mile per year for each company and decide which company should get the contract based on the least expensive price per mile per year.The project manager for the state department of highways has two beds for the resurfacing of a 10 mile stretch of highway. The first company gives a bit of $120,000 per mile and will guarantee the web for eight years. The second company bids the word for $150,000 per mile using a new asphalt material made from used tires. The second company will guarantee the work for 12 years. Determine the price per mile per year for each company and decide which company should get the contract based on the least expensive price per mile per year
Answers
Answer:
The second company should get the contract.
Question
The project manager for the state department of highways has two beds for the resurfacing of a 10 mile stretch of highway.
Reason
Based on the least expensive price per mile per year, the second company should get the contract. This is because the price per mile per year for the second company is lower than the price per mile per year for the first company.
The first company gives a bit of $120,000 per mile and will guarantee the web for eight years. The second company bids the word for $150,000 per mile using a new asphalt material made from used tires.
The second company will guarantee the work for 12 years. Determine the price per mile per year for each company and decide which company should get the contract based on the least expensive price per mile per year.
The project manager for the state department of highways has two beds for the resurfacing of a 10 mile stretch of highway. The first company gives a bit of $120,000 per mile and will guarantee the web for eight years.
The second company bids the word for $150,000 per mile using a new asphalt material made from used tires. The second company will guarantee the work for 12 years.
Determine the price per mile per year for each company and decide which company should get the contract based on the least expensive price per mile per year
To determine the price per mile per year for each company, we need to divide the total price by the number of years. For the first company, this would be $120,000 / 8 = $15,000 per mile per year. For the second company, it would be $150,000 / 12 = $12,500 per mile per year.
Based on these calculations, the second company offers the least expensive price per mile per year, at $12,500 per mile per year. Therefore, the project manager should choose the second company to receive the contract.
Which is a survey?
a study that collects data on every subject in a sample
the data collected from a population
the questions used for a sample
the questions used for a population
Answers
A study that collects data on every subject in a sample
Hope this helps!
Which system of equations can be represented by this matrix?
Answers
Answer:
answer is c
Step-by-step explanation:
I learned matrix
Choose the system for the graph.
Answers
Answer:
Step-by-step explanation:
(3x+4y<12
in a wildlife park, there were 20 gray wolves. after a few years, there were 38 gray wolves what is the percent gain
Answers
The percent gain in the number of wolves is 90%.
How to calculate the percentage?A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100. The percentage therefore refers to a component per hundred. Per 100 is what the word percent means. It is represented by %.
From the information, in a wildlife park, there were 20 gray wolves. after a few years, there were 38 gray wolves.
The percent gain will be:
= Increase in wolves / Previous number × 100
= (38 - 20) / 20 × 100
= 18/20 × 100
= 90%
Therefore, it should be noted that based on the information illustrated above, the percentage gain will be 90%.
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how do i find the answer
Answers
The value of the angles of the given quadrilateral are;
8) ∠X = 124° = ∠W
∠Y = 56° = ∠Z
9) ∠J = 44° = ∠K
∠L = 136° = ∠M
How to find the angles of a quadrilateral?The sum of angles of a quadrilateral is equal to 180 degrees. Now, in the quadrilateral given, the two angles on the slant side always equal 180 degrees. Thus;
8) From the given trapezium, we can use the definition above to say that;
∠X + ∠Y = 180°
Thus;
(13x - 7)° + (8x - 2)° = 180°
21x - 9 = 180
21x = 189
x = 189/21
x = 9
Thus;
∠X = (13(9) - 7)°
∠X = 124° = ∠W
∠Y = 180° - 124°
∠Y = 56° = ∠Z
9) From the above, we can apply the same to this quadrilateral to get;
7x + 2 + 25x - 14 = 180
32x - 12 = 180
32x = 180 + 12
32x = 192
x = 192/32
x = 6
∠J = (7(6) + 2)
∠J = 44° = ∠K
∠L = 180 - 44
∠L = 136° = ∠M
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A regular polygon has its exterior angles all equal to 5⁰ Find the number of sides of the polygon.
Answers
calculate the size of the exterior and interior angles of all the different polygon.
-1 1/6 divided by 1/4=
Pls help me
Answers
Answer:
-14/3 or -4.67
Step-by-step explanation:
division.
PLSSS HELP ASAP 30PTS
Consider parallelogram ABCD with vertices A(-6, 6), B(0, 10), C(2,4), and D(-4, 0). Classify the parallelogram and select ALL that apply.
MORE THAN ONE POSSIBLE ANSWER
Answers
The figure is neither a rhombus nor a rectangle since the sides are of varied lengths and are not at right angles. "None of the other" applies.
Given that,
Consider parallelogram ABCD with vertices A(-6,6), B(0,10), C(2,4) and D(-4,0).
We have to find the parallelogram is square, rectangle, rhombus and none of the above.
We know that,
In the attached figure, which shows the number of grid squares for each side, we can see that one side is the diagonal of a 23 rectangle and the other side is the diagonal of a 13 rectangle. This reveals two things to you: The sides are not at perfect angles to one another and are of varied lengths. The slopes of the segments would be opposing reciprocals (if the sides were perpendicular).
Therefore, The figure is neither a rhombus nor a rectangle since the sides are of varied lengths and are not at right angles. "None of the other" applies.
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The table below shows the linear relationship between
the distance in feet below sea level and the time in
seconds traveled by a submarine.
What is the rate of change low of the distance in the feet below sea level with respect to time that the box submarine traveled?
Answers
The rate of change of the distance with respect to time that the box submarine traveled is 11 feet per second
How to determine the rate of change of the distance with respect to time the box submarine traveled?A rate of change describes how one quantity changes in relation to another quantity.
Mathematically, it is defined as the change in one quantity divided by the change in the other quantity.
In this case, we have:
rate of change = change in distance / change in time
Use the data in the table:
rate of change = 545-380/15-0
rate of change = 165/15 = 11
Note: You can pick any 2 data points for the calculation
Therefore, 11 feeet per second is the rate of change of the distance in feet below sea level with respect to time that the box submarine traveled
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Here are summary statistics for the weights of Pepsi in randomly selected cans: n = 36, x-bar = 0.82407, s = 0.00567. Use a confidence level of 95% to complete parts (a) through (d) below.
A) Identify the critical value t a/2 used for finding the margin of error.
T a/2 =
B) Find the margin of error
Answers
The margin of error, a statistic, is a measure of how much random sampling error there is in survey data.
The margin of error exists 0.07728.
What is meant by margin of error?A statistic known as the margin of error describes how much random sampling error there is in survey data. Less faith should be placed in a poll's results representing the outcome of a population census as the margin of error increases.
A survey's margin of error, also known as the confidence interval, is a measurement of error in the data, particularly when the sampling method of a survey is used. This indicator lets researchers know to what extent survey findings should be taken as representative of the entire community under study.
Given : n = 36
x-bar = 0.82407
s = 0.00567
Confidence level 95%
The 2 - critical Valve = 2.03
A) Let the equation be
[tex]$S F=\sqrt{\frac{\bar{x}(1-\bar{n})}{n}}[/tex]
substitute the values in the above equation, we get
[tex]$\Rightarrow \sqrt{\frac{(0.82412)(1-0.82412)}{100}}$$[/tex]
S E = 0.03807
B) Margin of error = (0.03807)(2 × [tex]I_2[/tex])
Margin of error = 0.07728
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what is one plus 59 plus 666662
Answers
Answer:
66,726
Step-by-step explanation:
Answer:
666,722
Step-by-step explanation:
1 + 59 + 666,662
= 60 + 666,662
= 666,722
i hope this helped
Complete the equation describing how
x and y are related.
Answers
Answer: y = 1x+4
the related between the x and y is x plus one and y plus 4
Step-by-step explanation:
The number 651 is what percent of 700?
Answers
Answer:
93%
Step-by-step explanation:
651/700
Answer: 93%
Step-by-step explanation:= (
(651 × 100/700) × 1/100 = 93/100
A concrete drain is 10m long, with an outside diameter of 1m and an inside diameter of 0.8m. Determine the volume of the concrete required to make the drain, to the nearest tenth of a cubic metre
Answers
Answer: To calculate the volume of the concrete required to make the drain, we need to find the volume of the cylinder formed by the outside diameter of the drain and subtract the volume of the cylinder formed by the inside diameter of the drain.
The formula for the volume of a cylinder is:
V = πr^2h
where V is the volume, r is the radius of the base of the cylinder, and h is the height of the cylinder.
The radius of the base of the outside cylinder is 0.5m (the diameter of 1m divided by 2) and the height is 10m. The radius of the base of the inside cylinder is 0.4m (the diameter of 0.8m divided by 2) and the height is also 10m.
So the volume of the outside cylinder is:
V = π * 0.5^2 * 10 = 15.7 m^3
and the volume of the inside cylinder is:
V = π * 0.4^2 * 10 = 12.6 m^3
To find the volume of the concrete required to make the drain, we subtract the volume of the inside cylinder from the volume of the outside cylinder:
15.7 m^3 - 12.6 m^3 = 3.1 m^3
So the volume of concrete required to make the drain is approximately 3.1 cubic metres. To the nearest tenth of a cubic metre, this is 3.1 m^3.
Sharon started with $42 in her bank account and
added $16 per week. Neil started out $70 in debt and deposited $30 per week. Determine how many weeks it will take them to have saved the same amount of money.
Answers
Answer:
8 weeks
Step-by-step explanation:
The two equations I got from this are y=16x+42 and y=-70+30x
I graphed both equations online to see what the intersection would be the intersection between both equations is (8,170). I think that this means that in 8 weeks they would both be at 170 dollars, so I think that it will take them 8 weeks to have the same amount of money saved
(if wrong, im sorry..)
The number of weeks it will take them to have saved the same amount of money will be 8.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
Sharon began with $42 in her financial balance and added $16 each week. Neil began $70 underwater and kept $30 each week.
Let 'x' be the number of weeks and 'y' be the total amount. Then the equations are given as,
y = 16x + 42 ...1
y = 30x - 70 ...2
From equations 1 and 2, then we have
30x - 70 = 16x + 42
14x = 112
x = 8
The number of weeks it will take them to have saved a similar measure of cash will be 8.
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