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We are given a graph and we are asked to determine if it is a function or not. To do that we will use the vertical line test. We will draw a vertical line and if the line touches the graph in more than two places in any given value of "x" then it is not a function. Therefore, the vertical line we get is:
Since the vertical line touches the graph in two axes this means that the given graph is not a function.
Related Questions
Martha has 4 different colored pens in her bag. After she uses a pen she just throws it back into bag. If she does this 5 day a week, how many different ways can she use the pens for the week?.
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By likelihood, she can utilize the pens in 1024 distinct ways during the week.
Probability is the study of possible outcomes of events, together with the probabilities and distributions of those occurrences.
Simply put, probability measures how probable something is to occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out. Statistics is the study of events subject to probability.
To calculate probability, divide the total number of outcomes by the total number of possible possibilities. There are differences between probability and odds.
Odds are computed by dividing the likelihood that an event will occur by the likelihood that it won't.
From the stated circumstance,
Total ways = [tex]4^{5}[/tex]= 1024
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What is the solution of the system of equations below?
y+2x=2 y+4x=0
GIVING 100 POINTS PLEASE HELP
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Answer: (-1, 4)
Step-by-step explanation: y=-2x+2, y=-4x Solve for the first variable in one of the equations, then substitute the result into the other equation.
Answer this question using SUBSTITUTION:
Substitution is a method to solving a system of equations through substituting one of the variables for another equation.
y + 2x = 2
y + 4x =0 (rewrite this equation so y is isolated: y =4x)
Since y=4x you can substitute the y in y +2x =2 and solve for x:
4x + 2x =2
6x = 2
x = [tex]\frac{1}{3}[/tex]
Now, plug in x into y =4x:
y = 4 ([tex]\frac{1}{3}[/tex]) = [tex]\frac{4}{3}[/tex] or [tex]1\frac{1}{3}[/tex]
x= [tex]\frac{1}{3}[/tex]
y = [tex]\frac{4}{3}[/tex] or [tex]1\frac{1}{3}[/tex]
Solve the given linear equation.14x + 4 = 8x + 23x =
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We have to solve this linear equation for x:
[tex]\begin{gathered} 14x+4=8x+23 \\ 14x-8x+4-4=8x-8x+23-4 \\ 6x+0=0x+19 \\ 6x=19 \\ x=\frac{19}{6} \\ x\approx3.16\ldots \end{gathered}[/tex]The answer is x=19/6
Eli has 12 eggs. He uses his grandpa's recipe to bake 4 loaves of challah. Find how many eggs are left over if Eli uses 2 eggs for each loaf of challah?
Answers
Answer:
4 Eggs are left since he uses 2 eggs per 1 loaf so 2x4=8
Step-by-step explanation:
Given f(x)=x+2 and g(x)=4-x^2 find the following (g o f)(x)
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Given functions are
[tex]\begin{gathered} f(x)=x+2 \\ g(x)=4-x^2 \end{gathered}[/tex]Then,
[tex]\begin{gathered} (g\circ f)(x)=g(f(x)) \\ =g(x+2) \\ =4-(x+2)^2 \\ =4-(x^2+4x+4) \\ =4-x^2-4x-4 \\ =-(x^2+4x) \end{gathered}[/tex]Thus,
[tex](g\circ f)(x)=-(x^2+4x)[/tex]which of the following coordinates represent a point on the Y - axis choose all that apply
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Question 7:
The y-axis on a graph is the vertical line on a graph, it represents the dependent variable.
Any point on the y-axis of a graph, has an x-value of zero.
Therefore, from the list given, any coordinate with an x-value of zero is on the y-axis.
Apply the point form: (x, y)
The following coordinates represent a point y-axis:
(x, y) ==> (0, -4)
(x, y) ==> (0, 3)
ANSWER:
(0, -4)
(0, 3)
Chocolate milk Riley mix five scoops of chocolate powder with 3 cups of milk Brooke mixes 6 cups of chocolate powder with 4 cups of milk whose mixture is more chocolatey explain how you know
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This mixture has an extra scoop of chocolate ice cream so will taste more chocolatey than 3 scoops of chocolate ice cream and 2 cups of milk.
Two companies are competing for a contract to make the programs for middle school gymnastics meets. Nadia’s Printing charges a $19.99 fee for printing and $0.25 for each program printed. Simone’s Stylish Print charges a $29.99 fee for printing and $0.10 for each program printed. For the most recent meet, Nadia’s Printing charged more than Simone’s Stylish Print.
Which inequality models this situation?
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Answer:
the second answer
Step-by-step explanation:
In one year, a school uses 13,480 pieces of white paper, 7,880 fewer pieces of blue paper thanwhite paper, and 1,500 fewer pieces of yellow paper than blue paper. How many pieces of paperdoes the school use in all?
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Answer:
23,180 pieces
Explanation:
The number of white paper used = 13,480 pieces
Since they used 7,880 fewer pieces of blue paper than white paper
The number of blue paper used = 13,480 - 7880 =5,600 pieces
They also used 1,500 fewer pieces of yellow paper than blue paper.
The number of yellow paper used = 5,600-1500 =4100 pieces
Therefore. the total number of pieces of paper
=13,480 + 5,600 + 4100
=23,180 pieces
The perimeter of a square can be found using p=n+n+n+n
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Answer: Well, yes. It's more like p = s + s + s + s. "S" = side. "P" = perimeter.
So, this is theoretically true if your variable for a side just happened to be "n".
You also put, "The perimeter of a square", A simpler way to put this is
P = s4 or in your case P = n4.
Because this shape is a square all side lengths and angles will be congruent, and therefore will all be the same (which is why we are able to multiply one side by four.)
Hope this helps. :)
Find the ordered pair $(x,y)$ if
\begin{align*}
x+y&=(3-x)+(3-y),\\
x-y &=(x-2)+(y-2).
\end{align*}
Thanks
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In accordance with the system of linear equations, the ordered pair is (x, y) = (1, 2).
How to find the values associated to an ordered pair
Ordered pairs are constructions characterized by two components, typically real numbers. The most common form of notation is (x, y). In this problem we need to resolve a system of linear equations to obtain the needed values. We find a system of two equations and two variables:
x + y = (3 - x) + (3 - y)
x - y = (x - 2) + (y - 2)
First, simplify each expression of the system:
First equation:
x + y = 6 - x - y
2 · x + 2 · y = 6
x + y = 3
Second equation:
x - y = (x - 2) + (y - 2)
x - y = x + y - 4
- 2 · y = - 4
y = 2
Second, substitute in the first equation:
x + 2 = 3
x = 1
The ordered pair is (x, y) = (1, 2).
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a recipe uses 1 aubergine for every 3 people. how many aubergines should you buy for 10 people
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Answer:
3 1/3 I am assuming that you cannot by 1/3 of an aubergines, so you would need to buy 4. if you can buy a partial one then it would be 3 1/3
Step-by-step explanation:
[tex]\frac{1}{3}[/tex] = [tex]\frac{a}{10}[/tex] Set up a proportion and then cross multiply and solve for a
3a = 10 Divide both sides by 3
a = [tex]\frac{10}{3}[/tex] = 3 1/3
Scientists are studying the temperature on a distant planet. They find that the surface temperature at one location is 45 ° Celsius. They also find that the temperature decreases by 7 ° Celsius for each kilometer you go up from the surface. Let T represent the temperature (in Celsius), and let H be the height above the surface (in kilometers). Write an equation relating T to H , and then graph your equation using the axes below.
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The equation relating T to H is H = 45 - 7T.
What is temperature?Temperature simply means the degree of hotness and coldness in a body.
In this case, they find that the surface temperature at one location is 45 ° Celsius. They also find that the temperature decreases by 7 ° Celsius for each kilometer you go up from the surface.
Let T = the temperature (in Celsius).
Let H = the height above the surface (in kilometers).
The equation will be:
H = 45 - (7 × T)
H = 45 - 7T
The axes aren't given and can't be graphed.
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Part A Write the multiplication expression shown by the model. Do not solve the problem. Part B
Explain the expression written in Part A. Include the final product and how it is shown with the model.
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The multiplication expression is given as L × w
The expression is given as N = r+ g + w + b
The final product of the expression is 200 boxes
How to determine the expressionNote that the formula determining the area of a rectangle is expressed as;
Area = lw
Where;
l denotes the length of the rectanglew denotes the width of the rectangleThe area of the figure can be calculated by multiplying the length and the width and then addition of the number of boxes.
This is given as;
10( 4 + 5 + 4 + 7)
Also
L × w = r + g + w + b
The expression L×w is a multiplication expression.
Total number of boxes vertically is the length = 20
Total number of boxes horizontally is the width = 10
Total area = L×w = 20 × 10 = 200
Number of the red boxes = 46Number of the green boxes = 46Number of the blue boxes = 46Number of the white boxes = 62Then,
N= r + g + w + b
We have;
L×B = 3r + w
Hence, a multiplication expression is expression having variables that are multiplied.
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PLEASE HELP ASAPPP!!!!!!!!!!!!!!!!!!!!!
PLEASE HELP ASAP!!!!
The quadratic function f(x) has roots of −4 and 2 and point (1, −5) lies on f(x). What is the equation of f(x)?
f(x) = (x − 2)(x + 4)
f(x) = (x − 2)(x − 4)
f(x) = 4(x − 2)(x + 4)
f(x) = 4(x − 2)(x − 4)
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The function has an equation of f(x) = (x + 4)(x - 2)
How to determine the equation of f(x)?The given parameters in the question are
Roots = -4 and 2
Point = (1, -5)
The above parameters can be rewritten as
Roots: x = -4 and x = 2
Point: (x, y) = (1, -5)
A quadratic equation can be represented as
f(x) = a * (x - Roots)
Where Roots: x = -4 and x = 2
The above parameters imply that we have the following equation
y = a(x + 4)(x - 2)
From the question, we have
(x, y) = (1, -5)
This gives
-5 = a(1 + 4)(1 - 2)
Divide
a = 1
Substitute a = 1 in y = a(x + 4)(x - 2)
y = (x + 4)(x - 2)
Hence, the equation of the quadratic function f(x) is f(x) = (x + 4)(x - 2)
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Answer: The answer would be A: f(x) = (x − 2)(x + 4)
Step-by-step explanation: I got it right on my test
explain how you got the answer
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Slope - 2/3
y - intercept : (0,3)
x | y
0 | 3
3 | 1
To eliminate the x terms and solve for y in the fewest steps, by which constants should the equations be multiplied by before adding the equations together?
First equation:
Second equation:
The first equation should be multiplied by 3 and the second equation by -5.
The first equation should be multiplied by 3 and the second equation by 5.
The first equation should be multiplied by 7 and the second equation by -6.
The first equation should be multiplied by 7 and the second equation by 6.
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Answer: the answer is c)The first equation should be multiplied by 7 and the second equation by -6.
Step-by-step explanation:edge 2022
Answer:
C
Step-by-step explanation: -6
i need help with my homework please check work when done I NEED HELP WITH THE QUESTION IN BLUE
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Amount invested by Katelyn = $4000
rate = x%
time = x + 2 years
n = number of times compounded
n = annually = 1
We need to find the function that models the total amount
To find the function, we will apply the compound interest formula:
[tex]\begin{gathered} $$FV\text{ = P(1 +}\frac{r}{n})^{nt}$$ \\ \\ P\text{ = 4000} \\ t\text{ = x + 2} \\ n\text{ = 1} \\ \text{ r = x\% = x/100} \\ FV=\text{ total amount } \end{gathered}[/tex]substitute the values into the formula:
[tex]\begin{gathered} FV=\text{ 4000\lparen 1 + }\frac{\frac{x}{100}}{1})^{1\times(x\text{ + 2\rparen}} \\ \\ FV=\text{ 4000\lparen1 + }\frac{x}{100})^{x+2} \end{gathered}[/tex][tex]FV=\text{ 4,000\lparen}\frac{100+\text{ }x}{100})^{x\text{ +2}}\text{ }[/tex]let the function that represents the total amount = f(x)
[tex]f(x)=\text{ 4000\lparen}\frac{\text{ }x+\text{ 100}}{100})^{x\text{ +2}}\text{ }[/tex]
Solve for X round to nearest tenth
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Answer:
the answer for this question is 35.0
Hyp = opp /sin 59
= 30/0.636 (note that sin 59 is 0.636)
= 47.16
Find the slope of the line that passes through the following points: (-4,-2) and (-3,5)
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label your variables by x and y.
subtract y2 from y1, then x2 from x1.
simplify your answer
The line containing the points (14, 15) and (20, 24) crosses the y-axis at what point?
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The linear equation that passes through the points (14, 15) and (20, 24) crosses the y-axis at y = -6.
How to get the y-intercept?
A general linear equation can be written as:
y = m*x + b
Where m is the slope and b is the y-intercept.
If the line passes through two points (x₁, y₁) and (x₂, y₂), then the slope can be written as:
m = (y₂ - y₁)/(x₂ - x₁).
In this case the line passes through (14, 15) and (20, 24) so the slope is:
m = (24 - 15)/(20 - 14) = 9/6 = 3/2
y = (3/2)*x + b
To find the y-intercept we can replace the values of one of the points, like (14, 15)
15 = (3/2)*14 + b
15 = 3*7 + b
15 = 21 + b
15 - 21 = b
-6 = b
The y-intercept is -6.
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Mid point of -2,11 and 18,-1
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The midpoint of (-2, 11) and (18, -1) is:
[tex]\begin{gathered} \bar{x}=\frac{-2+18}{2}\rightarrow\bar{x}=8 \\ \\ \bar{y}=\frac{11-1}{2}\rightarrow\bar{y}=5 \end{gathered}[/tex]Point (8,5)
A fair coin is flipped 10 times. Each flip is independent.
What is the probability of getting exactly eight heads?
Answers
Answer:
8 out of 10.
Step-by-step explanation:
if you flip a coin independent then it doesn't matter what the other outcomes are. So if it's a one out of two chance every time then it's 8 /10.
an industrial manufacturing company uses an inverted conical (cone-shaped) tank to dispense liquid into containers. the tank measure 24 inches with a base radius of 48 inches. if the liquid flows out of the tank at a rate of 40 cubic inches per minute, at what rate is the height of the liquid falling when the height of the liquid is 10 inches deep?
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If the liquid flows out of the tank at a rate of 40 cubic inches per minute, the height of the liquid will decrease at rate 0.0318 in./minute
Referring to the attached picture, the two triangles in a cone are similar. Hence,
r/h = 48/24
or
r = 2h.
The volume of the liquid is given by:
V = 1/3 . πr²h
Substitute r = 2h,
V = 1/3 . π(2h)²h = 4/3 . πh³
Take the derivative with respect to t
dV/dt = 4/3 . 3πh² . dh/dt
dV/dt = 4 . πh² . dh/dt
Substitute dV/dt = -40 and h = 10
-40 = 4 . π(10)² . dh/dt
dh/dt = - 0.0318 in./minute
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Simplify: 2.4 x 10−4 0.00024 0.000024 −0.000024 −2.4000
Answers
Answer:
0.00067
Step-by-step explanation:
You always want the period to the right of the first number meaning you’ll start from there counting backwards because it is negative.
insert parentheses to make the expression true
4×2+3×2=32
Answers
Answer:
4 * ( 2 + 3 * 2) = 32
Step-by-step explanation:
The strategy I used in this question is generally trial and error. The most important thing here to remember is to follow the order of operations. If you think a little out of the box, then you will see the answer. To solve, first multiply 3*2, then add two, which should result in 8. 4*8 is 32, which makes the equation true.
in professional tennis, the length of time that the strings of a tennis racquet last is distributed uniformly anywhere from 5 to 30 days. given that the strings are still not broken on day 15 since they were strung, what is the probability that the strings will not break for at least another 10 days? round your answer to 2 digits after the decimal.
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if tan 1/3 and cos is less than 0 was in the sin of x
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Answer:
[tex] \frac{1}{ \sqrt{10} } [/tex]
A ball, dropped vertically falls d metres in t seconds
d is directly proportional to the square of t
The ball drops 125 metres in the first 5 seconds
How far does the ball drop in nthe next 9 seconds?
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The distance covered in the next 9 seconds is 405 meters
How to determine the distance coveredThe variation statement is given as
d is directly proportional to the square of t
This means that
d = kt²
Where k represents the constant of variation
Using the parameters in the question, we have
When d = 125, t = 5
Substitute d = 125, t = 5 in d = kt²
This gives
125 = k x 5²
Evaluate
k = 5
So, we have
d = 5t²
After 9 seconds, we have
t = 9
Substitute t = 9 in d = 5t²
Here, we have
d = 5 x 9²
This gives
d = 405
Hence, the distance is 405 meters
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24. Anna went bowling. She spent less than or equal to $30, but spent more
than $25. Create a number line that shows all the possible amounts that
Anna may have spent at the bowling alley.
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All the possible amounts that Anna may have spent at the bowling alley are presented on the number line.
What is a number line?In mathematics, a numbered line is a straight line with numbers organized at regular intervals or sections throughout its breadth. The beginning of period is frequently shown laterally and may be shifted in any position.
Anna visited a bowling alley. She did not spend less than or equal to $30, but she did spend more than $25.
The inequality is given as,
$25 < x ≤ $30
All the possible amounts that Anna may have spent at the bowling alley are presented on the number line.
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