Answers
Answer:
The given graph is not a graph of a function because a vertical line can be drawn that will intersect this graph more than once.
Explanation:
A vertical line test is generally used to determine if a relation is a function or not by drawing a vertical line across the graph of the relation.
If the vertical line intersects the graph of the relation more than once, it means that the relation is not a function because one x-value will have more than one y-value.
If the vertical line intersects the graph just once, then we can say that the relation is a function since one x-value will be associated with only one y-value.
Looking at the given graph, we can see that a vertical line can be drawn across the graph that will intersect the graph more than once, therefore the given graph is not a graph of a function because a vertical line can be drawn that will intersect the graph more than once.
Related Questions
Last year, Trey opened an investment account with $8800. At the end of the year, the amount in the account had decreased by 6.5%. How much is this decrease in dollars? How much money was in his account at the end of last year?Decrease in amount:$Year-end amount:$
Answers
ANSWER
[tex]\begin{gathered} decrease=572 \\ Year-end\text{ amount=8228} \end{gathered}[/tex]EXPLANATION
Initial amount is $8800
percentage decrease is 6.5%
Decrease amount (in dollars );
[tex]\begin{gathered} \frac{6.5}{100}\times8800 \\ =6.5\times88 \\ =572 \end{gathered}[/tex]The amount of money in the account at the end of last year= Initial amount - decrease
[tex]\begin{gathered} A=8800-572 \\ =8228 \end{gathered}[/tex]Decrease in amount: $572
Year-end amount: $8228
The perimeter of a rectangular poster is 14 feet and the length is 4 feet. Describe how to use the perimeter formula to find the width.This calculator has a tray why the answer is not 3.2
Answers
Explanation
We are told that the perimeter of a rectangular poster is 14 feet and the length is 4 feet.
Perimeter simply means the total sum of all the sides of the rectangle
[tex]\begin{gathered} From\text{ the above} \\ let\text{ the length = y} \\ width\text{ =x} \end{gathered}[/tex]So, the perimeter is
[tex]x+x+y+y=2x+2y[/tex]Since the perimeter is 14 then
[tex]2x+2y=14[/tex]Also, the length is 4 feet
Therefore y = 4, so that
[tex]\begin{gathered} 2x+2(4)=14 \\ 2x+8=14 \\ collecting\text{ like terms} \\ 2x=14-8 \\ 2x=6 \end{gathered}[/tex]Making x the subject of the formula
[tex]\begin{gathered} x=\frac{6}{2}=3 \\ \\ x=3 \end{gathered}[/tex]Therefore, the width of the rectangle is 3 feet
The rectangle is
[tex]4+3+4+3=14[/tex]
Find the next two terms in this sequence. 1 3 7 15 [?] 2'4'8' 16' T'I
Answers
We will solve as follows:
*First: We identify the pattern, that is:
[tex]\frac{3}{4}-\frac{1}{2}=\frac{1}{4}[/tex][tex]\frac{7}{8}-\frac{3}{4}=\frac{1}{8}[/tex][tex]\frac{15}{16}-\frac{7}{8}=\frac{1}{16}[/tex]From this, we can see tat the pattern follows the rule:
[tex](\frac{1}{2})^{n+1}[/tex]So, the next terms of the sequence will be:
[tex]\frac{15}{16}+(\frac{1}{2})^{4+1}=\frac{31}{32}[/tex]And the next one is:
[tex]\frac{31}{32}+(\frac{1}{2})^{5+1}=\frac{63}{64}[/tex]And those are the next two terms of the sequence.
Write the inequality stamens in a describing the numbers (-∞,-5)
Answers
The numbers are given to be:
[tex](-\infty,-5)[/tex]This is written in Interval notation.
In "Interval Notation" we just write the beginning and ending numbers of the interval, and use:
a) [ ] a square bracket when we want to include the end value, or
b) ( ) a round bracket when we don't.
Because the interval given uses round brackets, the inequality will contain all real numbers between negative infinity and -5, but not including negative infinity and -5.
Therefore, the inequality will be:
[tex]-\inftyConsider the following data. The expected value is -2.1.Find the variance, standard deviation, P(X ≥ -1), and P(X ≤ -3).
Answers
Given
The data,
To find:
The variance, standard deviation, P(X ≥ -1), and P(X ≤ -3).
Explanation:
It is given that,
Then,
The variance is,
[tex]\begin{gathered} Var[x]=(-4-(-2.1))^2\times0.2+(-3-(-2.1))^2\times0.3+(-2-(-2.1))^2 \\ \times0.1+(-1-(-2.1))^2\times0.2+(0-(-2.1))^2\times0.2 \\ =(-4+2.1)^2\times0.2+(-3+2.1)^2\times0.3+(-2+2.1)^2\times0.1+(-1+2.1)^2 \\ \times0.2+(2.1)^2\times0.2 \\ =3.61\times0.2+0.81\times0.3+0.01\times0.1+1.21\times0.2+4.41\times0.2 \\ =0.722+0.243+0.001+0.242+0.882 \\ =2.09 \end{gathered}[/tex]And the standard deviation is,
[tex]\begin{gathered} SD=\sqrt{Var[x]} \\ =\sqrt{2.09} \\ =1.45 \end{gathered}[/tex]Also,
[tex]\begin{gathered} P\left(X≥-1\right)=P(X=-1)+P(X=0) \\ =0.2+0.2 \\ =0.4 \\ P\left(X≤-3\right)=P(-4)+P(-3) \\ =0.2+0.3 \\ =0.5 \end{gathered}[/tex]Hence, the answers are,
Variance is 2.09
Standard deviation is 1.45
P(X ≥ -1) is 0.4
P(X ≤ -3) is 0.5.
What is the surface area of fish tank in the shape of a cube that has a volume of 90 cubic inches.
Answers
You know that the volume of the fish tank in the shape of a cube:
[tex]V=90in^3[/tex]By definition, the formula for calculating the volume of a cube is:
[tex]V=a^3[/tex]Where "a" is the length of each edge of the cube.
If you solve for "a", you get this formula:
[tex]a=\sqrt[3]{V}[/tex]In this case, knowing the volume of the cube, you can substitute it into the second formula and evaluate, in order to find the length of each edge of the cube:
[tex]\begin{gathered} a=\sqrt[3]{90in^3} \\ \\ a\approx4.48in \end{gathered}[/tex]The surface area of a cube can be found using this formula:
[tex]SA=6a^2[/tex]Where "a" is the length of each edge of the cube.
Substituting the value of "a" into the formula and evaluating, you get:
[tex]SA=6(4.48in)^2\approx120in^2[/tex]Hence, the answer is: Second option.
Wich situation can be represented by 3 + 3s =5s - 7
Answers
3 + 3s = 5s - 7
A. Three times a number increased by 3 ( can be represented by 3s + 3 ) is the same as ( = ) five times a number decreased by 7 ( can be represented by 5s -7 ). 3s + 3 = 5s - 7
Answer: A
I don't understand this. Proving and applying ASA and Salad congruence
Answers
Given two triangles, we can say that they are congruent by the SAS postulate (Side Angle Side) if both triangles have two congruent sides and the angle that they form is also congruent
In this case, we have that triangle IHG and DFE have already two congruent sides, then, to make them congruent, the angle that they each form (angle IHG and angle DEF) must be congruent so we can use the SAS postulate
PLEASE HELP!!
Write an equation of a quadratic function with the given properties: f(3)=f(-5)=0; f(-6)=-36
Answers
The equation for a quadratic function with given properties is, f(x) = -201.5 (x² +2x - 15)
Given,
f(3) = f(-5) = 0;
f(-6) = -36
Here,
The x intercepts of the quadratic equation are;
x₁ = 3 , x₂ = -5
The quadratic equation in factored form is equal to
f(x) = a(x - x₁) (x - x₂)
Substitute x₁ = 3 , x₂ = -5 in f(x)
Then,
f(x) = a(x - 3) (x - -5)
f(x) = a(x - 3) (x + 5)
We have;
f(-6) = -36
That is, if x = -6 then f(x) = -36
So,
f(x) = a(x - 3) (x + 5)
-6 = a(-36 - 3) (-36 + 5)
-6 = a x - 39 x - 31
-6 = 1029a
a = -1029/6
a = -201.5
Here,
f(x) = -201.5(x - 3) (x + 5)
Apply distributive property;
f(x) = -201.5(x² +5x - 3x - 15)
f(x) = -201.5 (x² +2x - 15)
That is,
The equation for a quadratic function with given properties is, f(x) = -201.5 (x² +2x - 15)
Learn more about quadratic function here;
https://brainly.com/question/14871651
#SPJ1
There are 16 appetizers available at a restaurant. From these, Pablo is to choose 12 for his party. How many groups of 12 appetizers are possible?
Answers
EXPLANATION
This is a combinatory, as there are 12 groups, the combinatory will be as follows:
16C12 = 16!/[12!*(16-12)!] = 1820
In conclusion, there will be 1820 possible groups of 12 appetizers.
a triangular lot is 130 ft on one side and has a property line of length 700 ft. Find the area of the lot in acres.
Answers
Area of the lot = 1.03 acres
Explanations:The line length of the triangular lot = 700 ft
The height of the triangular lot = 130 ft
Note:
Area of a triangle = 0.5 x base x height
Calculate the base of the triangular lot using the Pythagora's theorem
[tex]\begin{gathered} \text{Length}^2=Height^2+Base^2 \\ 700^2=130^2+Base^2 \\ \text{Base}^2=700^2-130^2 \\ \text{Base}^2\text{ = }490000\text{ - }16900 \\ \text{Base}^2\text{ = }473100 \\ \text{Base = }\sqrt[]{473100} \\ \text{Base = }687.82 \end{gathered}[/tex]The base of the triangular lot = 687.82 ft
Area of the triangular lot = 0.5 x 687.82 x 130
Area of the triangular lot = 44708.3 ft²
NB
1 ft² = 2.3 x 10^(-5) Acres
44708.3 ft² = 44708.3 x 2.3 x 10^(-5)
44708.3 ft² = 1.03 acres
Therefore:
Area of the lot = 1.03 acres
The coordinate pairs for triangle ABC are A(1,2), B(4,5), C(2,2). It undergoes a translation of 2 units right and 1 unit 1 up. Write down the coordinates of A'
Answers
We will have the transformation rule (x, y) -> (x+2, y+1)
Then, for A' we will have:
A'(3, 3)
B'(6, 6)
C'(4, 3)
Which is an equivalent expression for 4 times d raised
to the negative third power all over quantity 18 times d
raised to the ninth power end quantity?
Answers
Answer:
2d⁻³/9d⁻⁹
Step-by-step explanation:
4 times d raised to the negative third power = (4 × d)⁻³ = 4d⁻³
18 times d raised to the ninth power = (18 × d)⁻⁹ = 18d⁻⁹
the equation as a quotient:
Expression = 4d⁻³/18d⁻⁹
Expression = 2d⁻³/9d⁻⁹
If np ≥5 and nq≥5, estimate P(at least 6) with n=13 and p = 0.5 by using the normal distribution as an approximation to the binomial distribution; if np < 5 or nq < 5, then state that the
normal approximation is not suitable.
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. P(at least 6) =
(Round to three decimal places as needed.)
O B. The normal distribution cannot be used
Answers
Using normal distribution we know that the value is P(at least 6) = 0.866.
What is Normal Distribution?A continuous probability distribution for a real-valued random variable in statistics is known as a normal distribution or a Gaussian distribution.The mean is 8.4 according to the formula:
q = 1 - p = 1 - 0.5 = 0.5Np = (13)(0.5) = 6.5 > 5Nq = (13)(0.5) = 6.5 > 5Consequently, the normal distribution will indeed resemble the binomial.
sqrt(Npq) = sqrt(13*0.5*0.5) = 1.802 is the standard deviation.Since it's ≥ and not > and to the right, we use 6-0.5 = 5.5Because going right from 5.5 includes 6.
P(x > 5.5) with μ = 6.5 and σ = 1.802Either find the z-score and use the table or use technology to find
Hence, Answer = 0.866Therefore, using normal distribution we know that the value is P(at least 6) = 0.866.
To learn more about Normal Distribution click on the link:
brainly.com/question/4079902
#SPJ13
find the coordinates of the vertex of the following parabola algebraically. write your answer as an (x,y) point..y=x²+9
Answers
using the parabola formula:
y = a(x-h)² + k²
vertex = (h, k)
We are given a parebola equation of: y = x²+9
comparing both equations to get the vertex:
y = y
a = 1
(x-h)² = x²
x² = (x + 0)²
(x-h)² = (x + 0)²
h = 0
+k = +9
k = 9
The vertex of the parabola as (x, y): (0, 9)
Jocelyn graphs a linear function that passes through three distinct points: A, B, and C. The coordinates ofpoint A (-3, -3) and point C (3,5) are shown.What are the possible coordinates of point B for Jocelyn’s linear function?
Answers
(0,1) is a possible coordinite through the points (-3,-3), (3,5)
You need a shelf for a small space in your house, so you make a measurement with your meter stick and head to the store. Once there, you find that the dimension of the shelves you want is given in cm.If your space measured 0.9 m, and the shelves at the store measure 30 cm, answer the following questions:1) How many meters wide is the shelf you want to buy?
Answers
We will have the following:
[tex]0.9m=90cm[/tex]So, the number of shelves you need is 3.
Thus, the shelves you can buy are 0.3 m long each.
what is the value of x of the perimeter of the following figure is 30 miles?
Answers
The Solution:
Given:
We are required to find the value of x if the perimeter is 30 miles.
[tex]Perimeter=2(3x-8)+2(6x+5)=6x-16+12x+10=30[/tex][tex]\begin{gathered} 6x+12x-6=30 \\ \\ 18x=30+6 \\ \\ 18x=36 \end{gathered}[/tex]Divide both sides by 18.
[tex]\begin{gathered} x=\frac{36}{18}=2 \\ \\ x=2 \end{gathered}[/tex]Therefore, the correct answer is 2.
28 * 81.5 can you help me
Answers
so the answer is 2282
Discuss the order of operations to explain why the expressions [(12÷(2+ 2)] ^3 and (12 ÷ 2) + 2^3 do not havethe same value.
Answers
The order of operations are different. Hence, the answers are not equal
Explanation:
Oder of operations using PEMDAS (Parenthesis, Exponent, Multiplication, Division, Addition, Subtraction)
[(12÷(2 + 2)]³ and (12 ÷ 2) + 2³
we solve seperately:
[(12÷(2+ 2)]³
we solve the parenthesis first:
(12 ÷ 4)³
then we apply division:
= (3)³
Then expand the exponent:
= 27
(12 ÷ 2) + 2³
we solve the parenthesis first:
6 + 2³
we expand the exponent:
6 + 8
we apply addition:
14
The order of operations are differnt. Hence, the answers are not equal
Which of the following are rational numbers?A) 42/91B) 10.27C) 8.14 D) 0
Answers
It's important to know that a rational number can be expressed as fractions, but also when they are expressed as decimals, the decimal part repeats infinitely, that is, it has a pattern or finite decimal digits.
Having said that, we can deduct that all the answer choices are rational numbers.This graph shows the amount of rain that falls in a given amount of time.
What is the slope of the line and what does it mean in this situation?
A line graph measuring time and amount of rain. The horizontal axis is labeled Time, hours, in intervals of 1 hour. The vertical axis is labeled Amount of rain, millimeters, in intervals of 1 millimeter. A line runs through coordinates 2 comma 5 and 4 comma 10.
Answers
It is to be noted that the slope of the line is 5/2. This means that 5 mm of rain falls every 2 hours. See the calculation below.
What is a slope in math?In general, the slope of a line indicates its gradient and direction. The slope of a straight line between two locations, say (x₁,y₁) and (x₂,y₂), may be simply calculated by subtracting the coordinates of the places. The slope is often denoted by the letter 'm.'
To find the slope of the line in the graph, we use the following equation:
m = [y₂ - y₁]/[x₂-x₁]
Where (x1,y1) = coordinates of the first point in the line; and
(x₂,y₂) = coordinates of the second point in the line
Given that the points (2, 5) from the graph is (x₁, y₁) and the point on graph (4, 10) are (x₂,y₂) Hence,
m = [10-5]/[4-2]
The slope (m) = 5/2
Learn more about slope:
https://brainly.com/question/16949303
#SPJ1
Full Question:
This is the complete question and the described graph is attached
This graph shows the amount of rain that falls in a given amount of time.
What is the slope of the line and what does it mean in this situation?
Select from the drop-down menus to correctly complete each statement
The slope of the line is ___
This means that ___ mm of rain falls every ___
Liam's monthly bank statement showed the following deposits and withdrawals.If Liam's balance in the account was $62.45 at the beginning of the month, what was the account balance at the end of the month?
Answers
First, let's take the inital balance and add all the deposits:
[tex]62.45+32.35+63.09+98.79=256.68[/tex]Then, we'll take this amount and substract all the withdrawals:
[tex]256.68-114.95-79.41=62.32[/tex]This way, we can conclude that the account balance at the end of the month was $62.32
What are inequality? When do we use inequalities?What type of inequalities are there? Which symbols are used for each type?Are the following expressions variable inequalities? Why?a. 13z=27b. x<0c 3x+5x>11d. y+5≤11e. 7-1>- 32
Answers
Inequalities are expressions that refer to non-equivalent quantities. Inequalities can express less than, more than, less than or equal to, more than or equal to.
The type of inequalities and symbols are:
[tex]<,>,\leq,\ge[/tex]So, there are four types of inequalities, for example:
[tex]\begin{gathered} x<2 \\ x>2 \\ x\leq2 \\ x\ge2 \end{gathered}[/tex]Each inequality is different from the other, this means that the symbol used represents a type of inequality.
At last, among the choices, the inequalities are
[tex]\begin{gathered} x<0 \\ 3x+5x>11 \\ y+5\leq11 \\ 7-1>-32 \end{gathered}[/tex]However, variable inequalities mean that the inequalities must have a variable in it. So, they are:
[tex]\begin{gathered} x<0 \\ 3x+5x>11 \\ y+5\leq11 \end{gathered}[/tex]Therefore, the variable inequalities are b, c, and d.
Freiese Um Which of the following is the graph of F(x) = 3x2 ?
Answers
To determine which is the graph of the function we can give some values to x to find point through the graph.
If x=0 then we have:
[tex]\begin{gathered} F(0)=3(0)^2 \\ F(0)=0 \end{gathered}[/tex]This means that the graph passes through the point (0,0).
If x=1 then we have:
[tex]\begin{gathered} F(1)=3(1)^2 \\ F(1)=3(1) \\ F(1)=3 \end{gathered}[/tex]This means that the graph passes through the point (1,3)
If x=-1 then we have:
[tex]\begin{gathered} F(-1)=3(-1)^2 \\ F(-1)=3(1) \\ F(-1)=3 \end{gathered}[/tex]This means that the graph passes through the point (-1,3)
Hence we conclude that the graph has to pass through the points (0,0) (1,3) and (-1,3)
Looking at the graphs given we notice that the third graph fullfils these condition; therefore, the graph of the function is shown in option C
Determine the total number of roots of each polynomial function using the factored form. f (x) = (x + 1)(x - 3)(x - 4) 3 f (x) = (x - 6)2(x + 2)2
Answers
Answer:
(x + 1)(x - 3)(x - 4) 3 f (x) = (x - 6)2(x + 2)2
Step-by-step explanation:
Consider the parabola given by the equation: f ( x ) = − 2 x 2 − 12 x − 9 Find the following for this parabola: A) The vertex: B) The vertical intercept is the point C) Find the coordinates of the two x intercepts of the parabola and write them as a list of points of form (x, y) separated by commas: It is OK to round your value(s) to to two decimal places.
Answers
Answer:
it is C) find the coordinated of two x intercept is
A rock has a mass of 14 g and a volume of 2 cm3. What is the density of the rock? *
Answers
We will determine the density of the rock as follows:
[tex]\rho=\frac{14g}{2cm^3}\Rightarrow\rho=7g/cm^3[/tex]So, the density of the rock is 7 g/cm^3.
Aaron took out a 30-year mortgage for $70,000. His monthly mortgage payment is $466. How much will he pay over 30 years? Interest rate = 7%
Answers
Answer:
[tex]\text{ \$167,760}[/tex]Explanation:
Here, we want to get how much will be ppaid over the course of 30 years
From the question, we have it that he pays $466 monthly
Now, to get the amount he will pay over the course of the years, we have to understand that there are 12 months in a year
The total number of months for which he will be paying will be:
[tex]30\times\text{ 12 = 360}[/tex]He will be paying $466 per month for a total of 360 months
So, the total amount he is to pay is the product of this two
Mathematically, that would be:
[tex]360\times466\text{ = 167,760}[/tex]Pizza House offers 4 different salads, 5 different kinds of pizza, and 3 different desserts. How many different three course meals can be ordered?...Question content area rightPart 1How many different meals can be ordered?enter your response here
Answers
A three-course meal will contain 1 pizza, 1 salad, and 1 dessert.
The question tells us that there are 4 different salads, 5 different pizzas, and 3 different desserts.
Therefore, the total number of possible ways a three-course meal can be served is calculated as the product of all the numbers. This is shown below:
[tex]\Rightarrow4\times5\times3=60[/tex]60 different meals can be ordered.
