Answers
A function is a set of relation that doesn't have repetitive domain. If we want to know if a graph is function or not, we have to do the line test.
Line Test
Draw a vertical line. Make sure that a line passes through a graph.See if a line intercepts a graph more than one point or just only one.Result
If a line intercepts a graph more than one point, it is not a function.
However, if a line only intercepts a graph just one point, it is indeed a function.
The given graph from the question is a function because it passes line test.
Domain and Range
Domain is the set of all x-values, meaning we only focus on x-axis or x-value only.
Range is the set of all y-values. We only focus on y-value or y-axis for Range.
Determine Domain from Graph
We can simply say that the domain is from starting domain or x-coordinate point to end x-coordinate point. For example, if a graph starts at x = -4 and ends at x = 2, we can say that - 4<=x=2.
Determine Range from Graph
Similar to Domain except Range starts from the minimum value or point to the maximum point or value. For example if a graph starts at min point = 6 and max point = 9. We can say that 6<=y<=9.
From the graph, the domain starts from negative infinity to positive infinity. Meaning that x can be any numbers. Hence, the domain is set of all real numbers. For range, the minimum value is 0 and max value is positive infinity. Therefore we write y>=0.
Answer[tex] \begin{cases} x \in \mathbb{R} \\ y \geqslant 0 \end{cases}[/tex]
Domain is set of all real numbers.
Range is greater or equal to 0.
Related Questions
Solve using the substitution method. 3x +2y= 19 xy= 15
Answers
Answer:
when x = 3 1/3, y = 4.5
or
when x =3 , y = 5
Step-by-step explanation:
Here, we want to solve using substitution
xy = 15
let x = 15/y
Put this into the first equation;
3(15/y) + 2y = 19
45/y + 2y = 19
Multiply through by y
45 + 2y^2 = 19y
2y^2 -19y + 45 = 0
2y^2 - 10y - 9y + 45 = 0
2y(y-5) -9(y-5) = 0
(2y-9)(y-5) = 0
2y-9 = 0
or y-5 = 0
2y = 9 or y = 5
y = 9/2 or y = 5
y = 4.5 or y = 5
Recall;
x = 15/y
x = 15/4.5 or x = 15/5
x = 3 1/3 or x = 3
look at the graph of a line and write its equation
Answers
Two groups of hikers leave the same camp heading in opposite directions. The first group travels 4 miles north and 3 miles east. The second group travels 2 miles south and 5 miles west.
a. Draw the situation in the coordinate plane using a right triangle. Use the origin as the camp location, and let each unit represent 1 mile. For example, the point (2, 1) would represent 2 miles east and 1 mile north of the camp.
b. Determine the distance between the two groups after the hikes.
Question 2
The distance between the two groups is __ miles.
Answers
Answer:
can you answer my qeustion the first one please
Find the value x
please help
Answers
Answer:
Step-by-step explanation:
Solve the system by graphing.
y=2x+4
y=-x+1
Answers
Answer:
Step-by-step explanation:
Helpppp.....................................................
Answers
Answer:
6 and 8 are yes
Step-by-step explanation:
-4 and -6 are no
Answer:
sorry for this answer
Step-by-step explanation:
Do you have PC ?
f(x) = -x² + x + 14
Find f (2)
Answers
Answer:
Step-by-step explanation:
f(2) = -2^2 + 2 + 14 = -4 + 2 + 14 = 12
Answer:
f(2) = 20
Step-by-step explanation:
f(x) = -x^2 + x + 14
f(2) = (2)^2 + (2) + 14
f(2) = 4 + 2 + 14
f(2) = 20
name each of the shapes below
Answers
1Wht2
2The3
3Frick4
4Is5
5that6
The name of the shape in the figure is a hexagon.
What are polygons?A polygon is often a plane figure in geometry that is enclosed by a closed chain made up of a finite number of straight-line segments that end in a loop. The spots where two of these segments meet are referred to as the polygon's vertices (plural: vertices) or corners. These segments are known as its edges or sides.
Given a shape,
the shape is a polygon,
to name a polygon first count the number of sides of the figure,
as we count there are 6 sides for the shape,
There are some specific names for the shapes according to their number of sides, like
Number of Sides Name
3 Triangle
4 Quadrilateral
5 Pentagon
6 Hexagon
The name for the shape is Hexagon.
Hence the name of the figure is Hexagon.
Learn more about polygons;
https://brainly.com/question/24464711
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Solve the system by graphing.
y=x+1
y=4x+7
The solution is ( , )
Answers
Answer:
(-2,-1)
Step-by-step explanation:
x+1=4x+7
3x=-6
x=-2.
y=-2+1
y=-1.
Solve the system of polynomial functions given
h(x) = x^4 + 1
g(x) = x^3
Answers
Answer:
a)h=x^3 b)g=x^2
Step-by-step explanation:
mrs. rodrigues wants to compare the spread of the test scores of her two biology classes. which statistic should she use? (multiple choice)
a.) mean
b.) standard deviation
c.) median
d.) mode
if anybody can help me with this, thank you so much! i'm trying to pass a pre-test on e.d.g.e.n.u.i.t.y :( if you know the answer, please explain instead of just giving me the answer alone. thank you! <3
Answers
Mrs. Rodrigues should use Standard deviation.
The correct option is b.
What is a standard deviation?The square root of the variance is used to calculate the standard deviation, a statistic that expresses how widely distributed a dataset is in relation to its mean.
Given:
Mrs. Rodrigues wants to compare the spread of the test scores of her two biology classes.
From the given choices:
The measures of spread include:
Range, quartiles, interquartile range, variance and standard deviation.
Standard deviation is the appropriate choice.
Therefore, standard deviation is the correct phrase.
To learn more about the standard deviation;
brainly.com/question/23907081
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T= 3x + 4y
Toe ons
(a) Work out the value of I when x = 5 and y=-7
Answers
Note: Consider the dependent variable is T instead of I, and we need to find the value of T when x=5 and y=-7.
Given:
[tex]T=3x+4y[/tex]
To find:
The value of T when x=5 and y=-7.
Solution:
We have,
[tex]T=3x+4y[/tex]
Putting x=5 and y=-7, we get
[tex]T=3(5)+4(-7)[/tex]
[tex]T=15-28[/tex]
[tex]T=-13[/tex]
Therefore, the value of T is -13 when x=5 and y=-7.
This is anyone who wants easy points. What comes after B in the alphabet. Just tryna help someone
Answers
Answer:
C
Step-by-step explanation:
Find the value of x. Then classify the triangle by its angles.
Answers
A 10-meter ladder leans against the wall, it is 5 meters from the base of the wall. How high, h, does the ladder reach to the nearest tenth of a meter?
Answers
Answer:
did you figure out the answer because I need it please
Find the scale factor
A. 3.5
B. 3/5
C. 35
Answers
Answer:
3.5
Step-by-step explanation:
35/10 = 3.5
Help plz i'll mark brainliest
Answers
Answer:
C
Step-by-step explanation:
what is the solution of the equation y=7x-2
Answers
Answer:
1/7y and 2/7
Step-by-step explanation:
William’s team won 16 games and lost 4 games. Tracey’s team won 15 games and lost 5 games. Whose team had the greater ratio of wins/losses?
Answers
Answer: William's is 16:4 and Tracey's are 15:5
Step-by-step explanation:
Please help me asap!!!!!!! Please
Answers
Answer:
the cube is bc 6 times 5 is 30 and the triangle is 2 because its the same length as the height
Step-by-step explanation:
Find the area of the trapezoid
Answers
quick help pls 26 points
Answers
Answer: hi, i can’t see the photo
Step-by-step explanation:
Answer:
b [tex]1\frac{1}{2}[/tex]
Step-by-step explanation:
150% = 1.5
If you say this allowed you would say 1 and one-half. So if you would write it it would be [tex]1\frac{1}{2}[/tex].
Hope this helps.
May I please have brainliest? :)
20+ points and brainliest in exchange for a couple of minutes of your time.
Answers
Answer:
Question 10: 25 Question 9: 60
Step-by-step explanation:
Angles share a line. 180-105=75
75/3=25
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Is the line at the bottom of question 3 the right side or left?
Teresa has made 124 bags of treats. Each person was able to take 2 bags home. If there were 40 people, how many extra bags were left?
Answers
Answer:
31
Step-by-step explanation:
Answer:
the answer to your question would be 44
A triangle has one side measuring 5 feet and two sides measuring 7 feet. What kind of
triangle is it?
equilateral
isosceles but not equilateral
scalene
Answers
Answer:
isoceles but not equilateral
Step-by-step explanation:
it has two sides that are the same length, but not all three sides are the same length
An equilateral triangle is therefore a special case of an isosceles triangle having not just two, but all three sides equal
Plz help me :(:(:(:(:(:(:(:(::(((::(:(:(.(.(
Answers
Answer:
Look below!
Step-by-step explanation:
Angle A = 180-47 = 133
Angle B = 180-32-Angle A = 180-32-47 = 101
Angle D = 90-32 = 58
Angle C = 180-47-58 = 75
Hope I helped!
Answer:
A=133 ,B=15, C=75 D= 58
Step-by-step explanation:
Angle 32, d, and right angle add up to 180. So 180=32+90+x. Then x = 58 (D). The all 3 angles in the triangle add up too 180 so 180=47+58+x. x=75 (C). The 47 and a equal to 180 degrees. 180-47=133. The 133+32+x=180. x=15 (B).
7.6 cm
Diagram NOT
accurately drawn
A circle has a radius of 7.6 cm.
Work out the area of the circle.
Give your answer correct to 3 significant figures.
Answers
Answer:
181cm²
Step-by-step explanation:
Given
Radius of a circle = 7.6cm
Area of the circle = \pi r²
Substitute
Area of the circle = 3.14(7.6)²
Area of the circle = 3.14(57.76)
Area of the circle = 181.3664cm²
Area of the circle to 3sf is 181cm²
A paperweight in the shape of a rectangular prism is shown: A right rectangular prism is shown with length 10 cm, width 4 cm, and height 4 cm. If a cross section of the paperweight is cut diagonal to the base, which shape describes the cross section?
Answers
Answer:
Square
Step-by-step explanation:
CHECK THE ATTACHMENT FOR THE FIQURE OF THE QUESTION
✓We were given the dimension of the rectangular prism as 10cm × 4cm × 4cm,
✓The cross section of the paperweight can be cut into half to it's base. Then the new dimension will be 4cm × 4cm which is a quadrilateral.
✓ Then width= 4cm, and height=4 cm are of the same values, hence the shape it forms is a SQUARE. and also the their angles is 90° each.
Adam has 3 coins in his pocket and they are all different from each other. Ben has 3 coins in his pocket and they are all the same as each other. Adam has half as much money as Ben.
What are the coins they each have?
Answers
Answer:
The possible coins are:
P = penny = $0.01
N = nickel = $0.05
D = dime = $0.10
Q = quarter = $0.25
H = half dollar = $0.50
We know that Adam has 3 coins in his pocket, and all of them are different, then the money that Adam has can be represented with (A + B + C)
Behn has 3 coins, and all of them are the same, then if his coin has a value X, he has a total of 3*X
We know that Adam has half as much money as Ben, this can be written as:
(A + B + C) = 3*X/2
The easier way to solve this, is to play with different values of X, and see if we can find the values of A, B and C.
For example, if X = $0.10
then:
(A + B + C) = $0.10*(3/2) = $0.15
We can find 3 different value of coins for this equation? No, we cant, so X = $0.10 is also discarded.
if x = $0.50 then:
(A + B + C) = (3/2)*$0.50 = $0.75
Here we could have:
A = $0.50
B = $0.25
then: A + B = $0.75
But we still have the coin C.
If we take X = $0.25 then:
(A + B + C) = (3/2)*$0.25 = $0.375
We could round the right part to $0.40
then the coins in the left part would be:
A = $0.25
B = $0.10
C = $0.05
A + B + C = $0.25 + $0.10 + $0.05 = $0.40
This is a strech, but is the only thing we can make with the given problem.
PLZ HELPPPPP!!!It is due soon if someone could help that would be greattt!
Answers
Answer:
1. true
2. False
3. False
4. True
Step-by-step explanation: