Does the graph represent a function? Why or why not?
A. No, because it fails the horizontal line test
B. Yes, because it passes the horizontal line test
C. No, because it fails the vertical line test.
•
D. Yes, because it passes the vertical line test.
Answers
Answer:
D.
Step-by-step explanation:
Yes, because it passes the vertical line test.
Related Questions
A system of equations is shown:
4x = -3y + 17
3x - 4y = -6
What is the solution to this system of equations? (5 points)
(3,2)
(-3,-2)
(-2,-3)
(2,3)
Answers
(-3, 2) false
(-2, -3) false
(2, 3) true
Answer: (2;3).
Step-by-step explanation:
[tex]\displaystyle\\\left \{ {{4x=-3y+17} \atop {3x-4y=-6}} \right. \ \ \ \ \left \{ {{4x+3y=17\ |*4} \atop {3x-4y=-6\ |*3}} \right. \ \ \ \ \left \{ {{16x+12y=68} \atop {9x-12y=-18}} \right. \\Let's\ sum \ up\ these\ equations:\\25x=50\ |:25\\x=2.\\4*2=-3y+17\\8+3y=17\\3y=9\ |:3\\y=3.[/tex]
Jessica and her friend found some money under the couch. they split the money evenly, each getting $16.32. how much money did they find?
Answers
There is two of them each getting $16.32
So take the $16.32 × 2=$32.64
Let a_n be the integer obtained by writing all the integers from 1 to n from left to right. For example, a_3 = 123 and a_{11} = 1234567891011. Compute the remainder when a_44 is divided by 45.
Answers
Answer:
9
Step-by-step explanation:
The 79-digit number of interest can be formulated as a sum of shorter numbers whose remainders can be computed.
Expanded formThe expanded form of the number can be written as ...
a_44 = 01×10^78 +23×10^76 +45×10^74 +67×10^72 +89×10^70 +...
+10×10^68 +11×10^66 +... +43×10^2 +44×10^0
Powers of 10Each number except the last is multiplied by a power of 10. Powers of 10 modulo 45 are ...
10 mod 45 = 10
100 mod 45 = 10
This lets us conclude that any positive power of 10 mod 45 is 10.
Parts of the sumIn short, all of the multiplication by powers of 10 can be collapsed to a single multiplication by 10. Hence, the mod 45 value of a_44 will be ...
a_44 mod 45 = (((01 +23 +45 +67 +89) +10 +11 +12 +... +43)×10 +44) mod 45
= (((01 +23 +45 +67 +89) mod 45 + sum(10 .. 43) mod 45)×10 +44) mod 45
= (((225 mod 45) +(901 mod 45))×10 +44) mod 45
= ((0 +1)×10 +44) mod 45
Final valuea_44 mod 45 = 54 mod 45 = 9
__
Additional comment
The result can be confirmed by a suitable calculator.
__
The sum of the 34 numbers from 10 to 43 is the product of their average value (10+43)/2 = 26.5 and their number, 34. (26.5×34) = 901.
Answer: 9
Step-by-step explanation:
we can manually do this by dividing 1234567891011121314151617181920212223242526272829303132333435363738394041424344
on the calculator. I saw multiple hate comments on the answer above, and I wanted to test it manually - it still is 9.
How do i solve this with the steps?
Answers
2x - 3
x + 5
x - 8
-4x
4x
10x
Written Out:
(h - f)(x) = 2x -3 - (x + 5)
(h - f)(x) = x - 8
m(x) = x^2 + 6x + 5 - (-4x)
m(x) = x^2 + 6x + 5 + 4x
m(x) = x^2 + 10x + 5
Under her cell phone plan, Sarah pays a flat cost of $69 per month and $4 per gigabyte. She wants to keep her bill at $83.80 per month. Write and solve an equation which can be used to determine gg, the number of gigabytes of data Sarah can use while staying within her budget.
Answers
Using a linear function, it is found that Sarah can use 3.7 gigabytes while staying within her budget.
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.Considering the flat cost as the y-intercept and the cost per gigabyte as the slope, the cost of using g gigabytes is:
C(g) = 4g + 69.
She wants to keep her bill at $83.80 per month, hence:
C(g) = 83.80
4g + 69 = 83.80
4g = 14.80
g = 14.80/4
g = 3.7.
Sarah can use 3.7 gigabytes while staying within her budget.
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Answer:
The other person is correct!
Step-by-step explanation:
Yes
Two events, a and b, are independent of each other. p(a)= and p(a and b)=. what is p(b) written as a decimal? round to the nearest hundredth, if necessary.
Answers
if two occurrences A and B are unrelated to one another. Then, 3/4 or 0.75 is the likelihood of event B.
What is probability?The field of mathematics known as probability studies numerical descriptions of the likelihood of an event occurring or of a statement being true.. The probability of an event is a number between 0 and 1, with 0 generally signifying the event's impossibility and 1 generally signifying its certainty.
What pair of events is referred to as an independent event?These occurrences are referred to as independent events when the occurrence or non-occurrence of one event has no bearing on the occurrence or non-occurrence of any other events.
Figuratively, we have:
If we have the following, two events A and B are said to be independent.
[tex]\mathrm{P}(\mathrm{A} \cap \mathrm{B})=\mathrm{P}(\mathrm{A}) \mathrm{P}(\mathrm{B})[/tex]
Events A and B happen apart from one another. P(A) = 1/6, while P(A and B) = 1/8.
The likelihood of the event B will then be.
[tex]\begin{aligned}&\mathrm{P}(\mathrm{A} \cap \mathrm{B})=\mathrm{P}(\mathrm{A}) \mathrm{P}(\mathrm{B}) \\&\mathrm{P}(\mathrm{B})=\frac{\mathrm{P}(\mathrm{A} \cap \mathrm{B})}{\mathrm{P}(\mathrm{A})} \\&\mathrm{P}(\mathrm{B})=\frac{1 / 8}{1 / 6} \\&\mathrm{P}(\mathrm{B})=\frac{6}{8} \\&\mathrm{P}(\mathrm{B})=\frac{3}{4}=0.75\end{aligned}[/tex]
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I understand that the question you are looking for is:
Two events, A and B, are independent of each other. P(A) = 1/6 and P(A and B) = 1/8. What is P(B) written as a decimal? Round to the nearest hundredth, if necessary.
Explanation to :an insurance agent is paid a salary of gh200 and a commission of 3% on all sales over gh2000 per month. if his total income in a particular month was gh530, what was the amount of his sales for that month
Answers
GH 13000 is the amount of his sales for that month.
how to find sales of the month?
total income = salary + commission
total income = GH530 (given)
salary = GH200 (given)
Commission is 3% on the sales above Gh2000 (given)
Let sales be x
total income = salary + commission
530 = 200+3%(x-2000)
530-200=0.03(x-2000)
330/.03=x-2000
11000=x-2000
x= 13000
total sales = GH13000
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Yu-xi draws a triangle with two angles measuring and . what is the measure, in degrees, of the third angle? 78 79 101 102
Answers
Considering the definition of a right triangle and its properties, the value of the third angle of a triangle with two angles measuring 79 degrees and 23 degrees is 78 degrees.
Triangle definitionA triangle is a polygon that is determined by three line segments called sides, or by three non-aligned points called vertices.
In other words, a triangle is a polygon made up of three sides, as well as three vertices and three interior angles.
One of the properties of any triangle is that the sum of the interior angles is equal to 180°.
Missing angle value in this caseIn this case, you know that:
One interior angle measures 79°.Another interior angle measures 23°.The sum of the interior angles is equal to 180°.So the value of the missing angle can be calculated by:
79° + 23° + missing angle = 180°
Solving:
102° + missing angle = 180°
missing angle= 180° - 102°
missing angle= 78°
Finally, the value of the third angle of a triangle with two angles measuring 79 degrees and 23 degrees is 78 degrees.
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Answer:
The answer is 78.
Step-by-step explanation:
Person above is right and I'm also taking the test!!
Darlene is building a rectangular fence. the length is 8 feet longer than the width. the perimeter of the rectangle is 76 feet. what is the length of the rectangle?
Answers
Answer:8 feet
Step-by-step explanation:
(x+3)^0 Rewrite the equation with positive exponents and simplify. x≠-3.
Answers
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textbf{Equation:}[/tex]
[tex]\mathsf{(x + 3)^0}[/tex]
[tex]\huge\textbf{Simplifying:}[/tex]
[tex]\mathsf{(x + 3)^0}[/tex]
[tex]\text{Anything raised to the 0 power it automatically equal to 1.}[/tex]
[tex]\huge\text{So, this mean that your answer should be: \boxed{\mathsf 1}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Expand 10a(2a-7) pls its very urgent
Answers
Answer:
[tex]20a^2-70a[/tex]
Step-by-step explanation:
1) Expand by distributing terms.
[tex]10\times2a+10a\times-7[/tex]
2) Take out the constants.
[tex](10\times2)aa+10a\times-7[/tex]
3) Simplify [tex]10\times2[/tex] to [tex]20.[/tex]
[tex]20aa+10a\times7[/tex]
4) Use Product Rule:[tex]x^ax^b=x^{a+b}[/tex].
[tex]20a^2+10a\times-7[/tex]
5) Simplify [tex]10a\times-7[/tex] to [tex]-70a.[/tex]
[tex]20a^2-70a[/tex]
Thank you,
Eddie
Answer:
20a² - 70a
Step-by-step explanation:
(10a)(2a-7)
= 10a*2a + 10a*-7
= 20a² - 70a
Barrett works at an ice cream shop. the function f(x) represents the amount of money in dollars barrett earns per gallon of ice cream, where x is the number of gallons of ice cream he makes. the function g(x) represents the number of gallons of ice cream barrett makes per hour, where x is the number of hours he works. f(x) = 2x2 4 g(x) = the square root of three times x cubed find f(g(x)). f of g of x equals the square root of the quantity 6 times x to the fifth power plus 4 dollars over hour f of g of x equals the square root of the quantity 6 times x to the fifth power plus 4 gallons over hour f(g(x)) = 6x3 4 gallons over hour f(g(x)) = 6x3 4 dollars over hour
Answers
Amount of money earned per number of hours of work = [tex]f(g(x)) = 6x^{3} + 4[/tex]
What is a composite function?A composite function is generally a function that is written inside another function. Composition of a function is done by substituting one function into another function. For example, f [g (x)] is the composite function of f (x) and g (x). The composite function f [g (x)] is read as “f of g of x”.To evaluate a composite function f(g(x)) at some x = a, first compute g(a) by substituting x = a in the function g(x). Then substitute g(a) into the function f(x) by substituting x = g(a). In the same way, we can calculate g(f(a)) as well.
Required calculation -
Amount of money (the earning) per unit x = [tex]f(x) = 2x^{2} + 4[/tex]
Number of gallons of ice cream that Barrett makes per hour, where x is the number of hours he works = [tex]g(x) = \sqrt{3x^{3}}[/tex]
we are to find the composite function [tex]f(g(x))[/tex]
Substituting g(x) into the x of f(x), we find:
[tex]f(g(x)) = 2(\sqrt{3x^{3} } )^{2} + 4\\\\= 2(3x^{3} ) + 4\\= 6 x^{3} + 4[/tex]
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Answer:
f(g(x)) = 6x3 + 4 dollars over hour
Step-by-step explanation:
Which two of the following expressions can be simlified by using the Quotient of Powers Property?
Answers
Answer:
[tex]\frac{15x^{4}y^{3}}{5x^{3}} \ \ \text{and }\ -10x^{5}\div 2x^{3}y[/tex]
Step-by-step explanation:
the Quotient of Powers Property :
let a be a number where a ≠ 0
[tex]\frac{a^m}{a^n} = a^{m-n}[/tex]
……………………
[tex]\frac{15x^{4}y^{3}}{5x^{3}}[/tex]
[tex]= \frac{3 \times 5x^{3}\times x \times y^{3}}{5x^{3}}[/tex]
[tex]= \frac{3 \times x \times y^{3}}{1}[/tex]
[tex]= 3 x y^{3}[/tex]
=============
[tex]-10x^{5}\div 2x^{3}y[/tex]
[tex]= [-5 \times (2x^{3}) \times x^2] \div [(2x^{3}) \times y][/tex]
[tex]= -5 \times x^2 \div y[/tex]
[tex]= -5 x^2 \div y[/tex]
The total volume of a tree increases 6% each year. what will its volume be after 7 years if its volume is 5 cubic meters now?
Answers
Answer:
7.52 m^3
Step-by-step explanation:
This is like compound interest in a banking calculation
Future volume = 5 (1 + .06)^7 = 7.52 m^3
The area of a circle of radius 10 units is equal to the surface area of a sphere of radius 5 units.
A. True
B.False
Answers
Explanation:
The area of the circle with radius 10 is...
A = pi*r^2
A = pi*10^2
A = 100pi
The surface area of the sphere with radius 5 is...
SA = 4pi*r^2
SA = 4pi*5^2
SA = 100pi
Both results are the same, so the claim is true. We can think of surface area as the amount of wrapping paper needed to cover the sphere.
-3p+6p
help simplify
Answers
Step-by-step explanation:
-3p+6p is 3p
-3 + 6 = 3
So when you simplify the equation you get 3p
write a solution system for the inequality 3x-2>10
Answers
Answer:
x>4
Step-by-step explanation:
3x - 2 >10 add 2 to both sides
3x > 12 Divide both sides by 3
x >4
Answer:
[tex]x > \bf 4[/tex]
Step-by-step explanation:
To find a solution to this inequality, we have to rearrange this equation to make [tex]x[/tex] its subject:
[tex]3x - 2 > 10[/tex]
⇒ [tex]3x - 2 + 2 > 10 + 2[/tex] [Add 2 to both sides]
⇒ [tex]3x > 12[/tex]
⇒ [tex]\frac{3x}{3} > \frac{12}{3}[/tex] [Divide both sides by 3]
⇒ [tex]x > \bf 4[/tex]
Choose the best answer from the choices below: the perpendicular bisector of a chord ____.
Answers
The perpendicular bisector of a chord passes through the center of a circle.
What is a chord?In geometry, a chord is a straight line segment that connects two points on the circumference of a circle. It is the longest possible segment within the circle.
The perpendicular bisector of a chord is a line that passes through the midpoint of the chord, creating two equal halves, and is perpendicular to the chord.
Notably, for any chord in a circle, its perpendicular bisector always intersects at the center of the circle, making it a significant geometric property.
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Use the polynomial [tex]4x^{5} -3x^{2} + x[/tex]
a. How many terms are in this polynomial? _____
b. What is the degree of this polynomial? _____
c. What is the contrast? _____
Answers
The degree is 5
The contrast is -
The lines below are perpendicular.
the slope of the solid line iS 4, what is the slope of the dashed line?
Answers
Answer:
[tex]\frac{-1}{4}[/tex]
Step-by-step explanation:
Perpendicular lines have opposite reciprocal slopes. This means you change the sign and flip the numerator and denominator.
If the original slope is 4, the perpendicular slope is [tex]\frac{-1}{4}[/tex]
Identify the indicated sum for the geometric series.
S7 for 162 − 54 + 18 − 6 + .....
Answers
The indicated sum for the geometric series is 121.5
How to identify the indicated sum for the geometric series?The series is given as:
162 − 54 + 18 − 6 + .....
Start by calculating the common ratio of the geometric series.
This is calculated using
r = -54/162
Evaluate
r = -1/3
The indicated sum for the geometric series is then calculated as:
S = a(1 - r^n)/1 - r
Substitute the known values in the above equation
S = 162(1 - (-1/3)^7)/1 + 1/3
Evaluate the exponent and the sum
S = 162(1 + 1/2187)/4/3
Evaluate the sum
S = 162(2188/2187)/4/3
Express as products
S = 162 * (2188/2187)* 3/4
Evaluate the product
S = 162 * 547/729
Evaluate the product
S = 121.5
Hence, the indicated sum for the geometric series is 121.5
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help me with this question
Answers
Answer: A) 23,00
Step-by-step explanation:
A=23,00
B=8,600
C=12,00
D=3,600
Step by step.
Changing from scientific to regular number, when it is a positive, move the decimal the same amount of places to the right, while adding zeros, as many places as the notation. See my attachment.
A right pyramid with a square base has a base edge length of 24 feet and a slant height of 20 feet. a right pyramid with square base has a base edge length of 24 feet and slant height of 20 feet. what is the height of the pyramid?
Answers
The height of the pyramid is [tex]16ft.[/tex]
What does it mean by right pyramid?The centroid of the base sits just above the right pyramid. Oblique pyramids are non-right pyramids. A right pyramid is typically assumed to be a regular pyramid because it has a regular polygon base.
To find the height of the pyramid:
l=the slant height of the right pyramid.
b=the length side of the square base of the right pyramid.
h=the height of the right pyramid.
Pythagorean Theorem: [tex]l^{2} =h^{2} +(\frac{b}{2} )^{2}[/tex]
Solve:h
[tex]h^{2} =l^{2} +(\frac{b}{2} )^{2}[/tex]
[tex]h^{2} =20^{2} -12^{2}[/tex]
[tex]h^{2} =256[/tex]
[tex]h=16ft[/tex]
Therefore, The height of the pyramid is [tex]16ft.[/tex]
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Answer:
The height of the pyramid is 16ft
Step-by-step explanation:
2/13 = 0.153846 In the decimal above, 1 is the first digit in the repeating pattern. What is the 279th digit?
Answers
Answer:
F
Step-by-step explanation:
There are 6 digits in the repeating pattern.
279 / 6 = 46.5 remainder 3.
we care about the remainder as this is how many digits in. it is the 3rd digit in so is 3.
Evaluate the integral, show all steps please!
Answers
Answer:
[tex]\displaystyle \int \dfrac{1}{(9-x^2)^{\frac{3}{2}}}\:\:\text{d}x=\dfrac{x}{9\sqrt{9-x^2}} +\text{C}[/tex]
Step-by-step explanation:
Fundamental Theorem of Calculus
[tex]\displaystyle \int \text{f}(x)\:\text{d}x=\text{F}(x)+\text{C} \iff \text{f}(x)=\dfrac{\text{d}}{\text{d}x}(\text{F}(x))[/tex]
If differentiating takes you from one function to another, then integrating the second function will take you back to the first with a constant of integration.
Given indefinite integral:
[tex]\displaystyle \int \dfrac{1}{(9-x^2)^{\frac{3}{2}}}\:\:\text{d}x[/tex]
Rewrite 9 as 3² and rewrite the 3/2 exponent as square root to the power of 3:
[tex]\implies \displaystyle \int \dfrac{1}{\left(\sqrt{3^2-x^2}\right)^3}\:\:\text{d}x[/tex]
Integration by substitution
[tex]\boxed{\textsf{For }\sqrt{a^2-x^2} \textsf{ use the substitution }x=a \sin \theta}[/tex]
[tex]\textsf{Let }x=3 \sin \theta[/tex]
[tex]\begin{aligned}\implies \sqrt{3^2-x^2} & =\sqrt{3^2-(3 \sin \theta)^2}\\ & = \sqrt{9-9 \sin^2 \theta}\\ & = \sqrt{9(1-\sin^2 \theta)}\\ & = \sqrt{9 \cos^2 \theta}\\ & = 3 \cos \theta\end{aligned}[/tex]
Find the derivative of x and rewrite it so that dx is on its own:
[tex]\implies \dfrac{\text{d}x}{\text{d}\theta}=3 \cos \theta[/tex]
[tex]\implies \text{d}x=3 \cos \theta\:\:\text{d}\theta[/tex]
Substitute everything into the original integral:
[tex]\begin{aligned}\displaystyle \int \dfrac{1}{(9-x^2)^{\frac{3}{2}}}\:\:\text{d}x & = \int \dfrac{1}{\left(\sqrt{3^2-x^2}\right)^3}\:\:\text{d}x\\\\& = \int \dfrac{1}{\left(3 \cos \theta\right)^3}\:\:3 \cos \theta\:\:\text{d}\theta \\\\ & = \int \dfrac{1}{\left(3 \cos \theta\right)^2}\:\:\text{d}\theta \\\\ & = \int \dfrac{1}{9 \cos^2 \theta} \:\: \text{d}\theta\end{aligned}[/tex]
Take out the constant:
[tex]\implies \displaystyle \dfrac{1}{9} \int \dfrac{1}{\cos^2 \theta}\:\:\text{d}\theta[/tex]
[tex]\textsf{Use the trigonometric identity}: \quad\sec^2 \theta=\dfrac{1}{\cos^2 \theta}[/tex]
[tex]\implies \displaystyle \dfrac{1}{9} \int \sec^2 \theta\:\:\text{d}\theta[/tex]
[tex]\boxed{\begin{minipage}{5 cm}\underline{Integrating $\sec^2 kx$}\\\\$\displaystyle \int \sec^2 kx\:\text{d}x=\dfrac{1}{k} \tan kx\:\:(+\text{C})$\end{minipage}}[/tex]
[tex]\implies \displaystyle \dfrac{1}{9} \int \sec^2 \theta\:\:\text{d}\theta = \dfrac{1}{9} \tan \theta+\text{C}[/tex]
[tex]\textsf{Use the trigonometric identity}: \quad \tan \theta=\dfrac{\sin \theta}{\cos \theta}[/tex]
[tex]\implies \dfrac{\sin \theta}{9 \cos \theta} +\text{C}[/tex]
[tex]\textsf{Substitute back in } \sin \theta=\dfrac{x}{3}:[/tex]
[tex]\implies \dfrac{x}{9(3 \cos \theta)} +\text{C}[/tex]
[tex]\textsf{Substitute back in }3 \cos \theta=\sqrt{9-x^2}:[/tex]
[tex]\implies \dfrac{x}{9\sqrt{9-x^2}} +\text{C}[/tex]
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Write an equation that represents the line
Use exact. Numbers
Answer soon please
Answers
y=−1.33x+2.
when the product of 15 and 40 is diveded by the sum of 15 and 45 what is the quotient
Answers
Answer:
The answer is 10Step-by-step explanation:
First, you have to multiply. 15x4=60. All you need to do is add a zero to that product. You will get 600. Product means the answer to a multiplication problem. That is why you would have to multiply to get your answer. Your answer to that part is 600. 15*40= 600. Then, you would do 45+15= 60. 600/60= 10. Your answer is 10.
having trouble with this
Answers
Answer:
Step-by-step explanation:
13
If you are playing a game using this spinner, what is the probability of not
landing on yellow or purple?
blue
green
yellow
orange
Your answer should be in the form of a fraction. Type it like this: 15/52.
Answers
Answer:
3/4
Step-by-step explanation:
Fraction of total area of the circle each color occupies in the spinner.
purple = 1/8
red = 1/4
orange = 1/8
yellow = 1/8
green = 1/4
blue = 1/8
Landing on yellow or purple: 1/8 + 1/8 = 1/4
Not landing on yellow or purple = 1 - 1/4 = 3/4
Allison is saving money to buy a new phone that costs $600 by selling her graphic designs. She is using an app to manage her sales, but it keeps a fraction of each sale. Her net pay is modeled by the function P(x) = x2 + 18x – 160, where x represents the number of sales. How many sales does Allison to make to earn $600?
Answers
Answer:
20
Step-by-step explanation:
x^2+18x-160
If you put this into your calculator or desmos, you will get a parabola. You want to know the value of x when y=600. You can look at the table for the graph or scan to where y = 600. The value of x is 20 at that point.
To check you can plug 20 in for x. When you do that, y = 600.