Tell whether each graph is a function and justify your answer. Which graph is not a good representation of a real-world situation? Explain.
Answers
Using the function concept, it is found that:
Graph B is a function because each value of x corresponds to exactly one y-value.In a function, one value of the input can be related to only one value of the output.
In a graph, it means that for each value of x(horizontal axis), there can be only one respective value of y(vertical axis).In this problem, at Graph A, when x = 5, for example a vertical line crosses the function 3 times, hence there are 3 respective values of y for x = 5, and the same is valid for other values of x, hence it is not a function.
At Graph B, for each value of x, there is only one value of y, hence it is a function.
Hence:
Graph B is a function because each value of x corresponds to exactly one y-value.
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Related Questions
Solve each system by elimination
10x-8y=4
-5x+3y=-9
Answers
[tex]10x-8y =4~~~....(i)\\\\-5x+3y=-9~~~...(ii)\\\\\text{Multiply equation (ii) by} -2\\\\10x-6y = 18~~~...(iii)\\\\(iii)-(i):\\\\10x-6y - 10x +8y = 18 -4\\\\\implies 2y = 14\\\\\implies y= \dfrac{14}2 = 7\\\\\text{Substitute y = 7 in equation (i):}\\\\10x-8(7) =4\\\\\implies 10x - 56 =4\\\\\implies 10x = 4+56\\\\\implies 10x = 60\\\\\implies x = \dfrac{60}{10} = 6\\\\\\\text{Hence (x,y) = (6, 7)}[/tex]
Can someone please help me with number 49? :D ty!
Answers
Answer:
The answer is 4.5 cups I hope this helps :D
round 0.006772 to 1 significant figure
Answers
Answer:
0.007
Step-by-step explanation:
0's before other numbers are non-significant. Then you just round your number.
Hope that helps
what is the equation of the line with slope -7 which goes through the point (2,5)
Answers
Answer:
y=-7x+19
Step-by-step explanation:
y-y1=m(x-x1)
y-5=-7(x-2)
y=-7x+14+5
y=-7x+19
The equation of the line with slope - 7 which goes through the point (2, 5) is
y = - 7x - 19.
What are lines and their slopes?We know lines have various types of equations, the general type is
Ax + By + c = 0, and the equation of a line in slope-intercept form is
y = mx + b.
Where slope = m and b = y-intercept.
the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.
Given, A line passes through points (2, 5) with a slope of - 7.
∴ 5 = -7(2) + b in slope-intercept form.
5 = - 14 + b.
b = - 19.
y = - 7x - 19.
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Need some help with this one.
Answers
Answer:
y = -3x + 7
Step-by-step explanation:
Answer:
y = -3x + 7 (above)
Step-by-step explanation:
To add on, the person above me is correct. The equation of the line is in mx + b, where m is slope and b is the y-intercept.
We see the line intercepts the y axis at (0,7). Therefore the equation is y= mx +7
Now we look for m, the slope. If you may remember slope is also change in y over change in x, or rise/run. If you look at the graph, for each unit to the right, the line drops 3 units(it goes down, so negative). Therefore the slipe would be -3/1, or -3.
Plugging that in,
y = -3x + 7
The graph represents an object that is shot upwards from a tower and then falls to the ground.
1. How tall is the tower from which the object was shot?
2. When did the object hit the ground?
3. Estimate the greatest height the object reached and the time it took to reach that height. I indicate this situation on the graph.
Answers
Answer:
1: The tower is around 93 meters tall. 2: The object hit the ground at 6 seconds. 3: 3 seconds to get to about 93 meters up.
Step-by-step explanation:
1: The tower is around 93 meters tall.
2: The object hit the ground at 6 seconds.
3: the time it took to reach that height is 3 seconds to get to about 93 meters up.
What is a function?Function is a type of relation, or rule, that maps one input to specific single output.
Linear function is a function whose graph is a straight line
1. Since the shot was made from the top of the tower, the starting height of the object (time zero) is equal to the height of the tower.
It represent in the graph by the y-intercept of the function, that is, the value of y when x=0.
The y-intercept is at (0,10) which shows that the height of the tower is 10m
2. The point where the object hit the ground, the height is zero meters, thus
The coordinates of the x-intercept are (6,0)
This shows that the object hit the ground 6 seconds after being shot.
3.The y-coordinate of the vertex shows the highest point of the object, which is 93 meters.
The x-coordinate of the vertex shows the time it took the object to reach said height, which is 2.8 seconds
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HEYY CAN U HELP PLS NO WRONG ANSWERRS
Part C
For similar triangles, the side lengths are proportional. So, you can write a proportion relating the two pairs of vertical and horizontal side lengths. For the line y = 2x, a triangle can be drawn 2 units up and 1 unit right from the origin.
Part F
Solve the equation from Part C so that y is by itself on one side of the equation. How are this equation and the equation of the line related? What does this relationship mean about any triangle created using this line?
this is part C
Answers
Answer:
y t
_ = _
2 1
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent
The corresponding vertical sides are y and 2
The corresponding horizontal lines are x and 1
so
The proportion is equal to
Ayo runs a fairground game.In each turn, a player rolls a fair dice numbered 1 - 6 and spins a fair spinner numbered 1 - 12.It costs a player £1.40 for a turn.A player can win £6 or £3 as in the diagrams:If 216 people are to play, how much profit can Ayo expect to make?
Answers
Using the definition of expected value, it is found that Ayo can be expected to make a profit of £55.8.
The expected value is given by the sum of each outcome multiplied by it's respective probability.
In this problem:
The player wins $6, that is, Ayo loses £6, if he rolls a 6 and spins a 1, hence the probability is [tex]\frac{1}{6} \times \frac{1}{12} = \frac{1}{72}[/tex].The player wins $3, that is, Ayo loses £3, if he rolls a 3 on at least one of the spinner or the dice, hence, considering three cases(both and either the spinner of the dice), the probability is [tex]\frac{1}{6} \times \frac{1}{12} + \frac{1}{6} \times \frac{11}{12} + \frac{5}{6} \times \frac{1}{12} = \frac{1 + 11 + 5}{72} = \frac{17}{72}[/tex]In the other cases, Ayo wins £1.40, with [tex]1 - \frac{18}{72} = \frac{54}{72}[/tex] probability.Hence, his expected profit for a single game is:
[tex]E(X) = -6\frac{1}{72} - 3\frac{17}{72} + 1.4\frac{54}{72} = \frac{-6 - 3(17) + 54(1.4)}{72} = 0.2583[/tex]
For 216 games, the expected value is:
[tex]E = 216(0.2583) = 55.8[/tex]
Ayo can be expected to make a profit of £55.8.
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Evaluate the numerical expression 24
Enter your answer in the grid below.
Answers
Answer:
what grid below
Step-by-step explanation:
Answer:
what grid below
Step-by-step explanation:
how do you write 100 s a fraction, mixed number, or whole number
Answers
In mixed number 10 0/10
Simplest form = 100
I hop this helps! :)
If measure of angle 3 = 74° find each measure NEED HELP ASAP
Answers
Please help Question in picture
Also could you please dm me on insta gram: yourdealerjeremi
I need some help with a few more questions but im out of brainly points
Answers
Answer:
10,9
Step-by-step explanation:
On the coordinate plane you see that the point A has to go 6 to the right and 3 up. So the ratio is: for every 2 side, there is one up. Point A does this 3 times to get to M so do three times. 6 to the right and 3 up and B is on 10,9.
Convert the equation g(x) = −(x − 7)2 +5 into standard form.
Answers
Answer:
7
Step-by-step explanation:
You have to add 2 and 5, the rest is stuff to distract you
Point A=(7,9) is dilated from the origin by scale factor of r=11. what are the coordinates of point A
Answers
Answer:
42 and 54
Step-by-step explanation:
7. What is the slope of the line that goes through (0,0) and (5, -1)7
1/2
-1/2
2
-2
Answers
Answer:
-1/5
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-1-0)/(5-0)
m=-1/5
Matthew spent 2/3 of his birthday on books and 1/4 of his birthday money on snacks. He says he spent 3/7 of his birthday money.
Which statement is most accurate?
*Disclaimer* show work
Answers
Answer:
Step-by-step explanation:
[tex]\frac{2}{3}[/tex] + [tex]\frac{1}{4}[/tex] = [tex]\frac{8+3}{12}[/tex] = [tex]\frac{11}{12}[/tex] ≈ 1
The correct answer is the last one (C)
What is 1+1 equal? Explain in paragraph form! 5 or more sentences!
Answers
I hope this helps give you a start
Use the quadratic formula to solve for x.
9x^2-3x=1
Round the answer to the nearest hundredth
Last question.
Answers
X= 1-5/6
make t the subject q= 1+3t/2-t
Answers
Answer:
t = dfrac-1 + 2 q3 + q.
Step-by-step explanation:
In ΔMNO,
m
∠
M
=
(
6
x
+
1
)
∘
m∠M=(6x+1)
∘
,
m
∠
N
=
(
3
x
−
10
)
∘
m∠N=(3x−10)
∘
, and
m
∠
O
=
(
x
+
19
)
∘
m∠O=(x+19)
∘
. Find
m
∠
N
.
m∠N.
Answers
Answer:
Step-by-step explanation:
All the angles in a triangle add up to 180°
So you need to add up all your angles and set them equal to 180°
angleM + angleN + angleO=180
(6x+1) + (3x-10) + (x+19)= 180
We don't actually need all these parentheses; this is all just addition and subtraction.
6x+1+3x-10+x+19 =180
Add all the x terms together. Add all the constants (plain numbers) together.
10x + 10 =180
Subtract 10 from both sides
10x =170
Divide by 10.
x = 17
But you need one more step because if you reread the question, you are being asked for the measure of angle N, which is 3x - 10
3*17 - 10 =
51 - 10 =
41
The measure of angle N is 41°
PLEASE ANSWER ASAP WORTH 10 PTS
Describe the graph of the line y = -5.
line with slope of -5
horizontal line
crosses the x-axis
vertical line
Answers
Asha bought 60 fruit baskets.
25% of the fruit baskets have 12 pieces of fruit in each basket.
The remaining 75% of the baskets have 15 pieces of fruits in each basket.
Answers
Answer:
Answer: 855
Step-by-step explanation:
I take it you want the total number of fruit? You should state the question. I will assume I am correct.
So 25% of 60 baskets = 25/100 * 60 = 15 baskets.
Each basic contains 12 pieces of fruits 12 * 15 = 180
And 75% of 60 baskets = 0.75 * 60 = 45 baskets.
Each contains 15 pieces 45 * 15 = 675
The total number of fruit in all is 855
1 6. ) b) The weight of an object on moon is 1/6 of its weight on Earth. If weight of an object on Earth is 18/5 kg, what would be its weight on moon? Plzz help me
Answers
Answer:
Solution given:
weight of moon=1/6 th of Earth
If weight of Earth is 18/5 kg
weight of moon=?
we have
weight of moon: 1/6 of weight of Earth
=1/6*18/5
=3/5kg
Its weight on moon is 3/5 kg
pls help me with this:((((
Answers
y
=
m
x
+
b
y
=
m
x
+
b
, where
m
m
is the slope and
b
b
is the y-intercept.
y
=
m
x
+
b
y
=
m
x
+
b
Find the values of
m
m
and
b
b
using the form
y
=
m
x
+
b
y
=
m
x
+
b
.
m
=
3
m
=
3
b
=
−
12
b
=
-
12
The slope of the line is the value of
m
m
, and the y-intercept is the value of
b
b
.
Slope:
3
3
y-intercept:
(
0
,
−
12
)
Solve for X. Please help ASAP.
Answers
Answer:
x = 36.87
Step-by-step explanation:
Find the length of the missing side.
x^2 + 12^2 = 15^2
x^2 + 144 = 225
x^2 = 81
x = 9
Now use the law of sines:
sin(90)/15 = sin(x)/9
Multiply each side by 9
9 * sin(90)/15 = sin(x)
0.6 = sinx
sin^-1 = 36.86989 rounded to 36.87
Need some help :(
A)12.7
B)13.3
C)12.4
Answers
Answer:
i am just here for points
Step-by-step explanation:
Which expression is equivalent to 7x + 5x?
a. 12x
b.12x^2
c. 35x
d. 35x^2
Answers
Answer:
12x
Step-by-step explanation:
Please help me solve this
Answers
Answer:
i think 2²m² is answer. you are correct, my sweetie !
Answer:
c)
[tex] {2}^{2} {m}^{2} [/tex]
Step-by-step explanation:
2 × 2 =4 it can also be written as 2^2( 2 squared) which also equals 4
same with m
Anya purchased $124.35 worth of home improvement items at the hardware store. If the sales tax rate in her city is 6.75%, what is the total cost of her purchase?
Answers
Answer:
$132.74
Step-by-step explanation:
6.75% = 0.0675
Multiply 124.35 by 1.0675 because sales tax is added to original cost.
(124.35)(1.0675) = 132.74
The total cost of Anya's purchase of home improvement hardware is 132.74 dollars.
What is percentage?The percentage is the value per hundredth.
According to the given question, the sales tax is 6.75% which is not included in the home improvement hardware which cost Anya 124.35 dollars.
∴ The total cost of Anya's purchase including the sales tax is ( 100 + 6.75)% = 106.75% of 124.35 dollars which is,
= (106.75/100)×124.35 dollars.
= 1.0675×124.35 dollars.
= 132.74 dollars.
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What’s the slope of a line that goes through (0,2)(7,5)
Answers
Answer:
slope = 3/7 or 0.43
Step-by-step explanation:
use the slope(gradient) formula