Which of the following best describes the graph shown below?
• A. This is not the graph
of a function.
B. This is the graph of a one-to-one function.
C. This is the graph of a function, but it is
not one-to-one.
D. This is the graph of a linear function.
Answers
Answer:
C
Step-by-step explanation:
we see that for every y value used (except for 0), there are 2 x-values (left and right of the y-axis) that lead to the same y-value. so, this is mostly a 2-to-1, not a 1-to-1 function.
it is a function though, as every x-value has exactly 1 assigned y-value.
Related Questions
ons belo Situation Cone Diagrams 6 in need to be placed on the boxes. 1. Dylan used a styrofoam cone to make a floral arrangement. The cone had a radius of 4.5 Inches and a height of 6 inches. What is the volume of this cone? 4.5 in Shane used day to make a cone with a height of 6 inches and a diameter of 4.5 inches for a sculpture. What is the volume of this cone? 4.5 in 6 in. Jake made a wooden cone with a diameter of 6 inches and a height of 4.5 inches. What is the volume of this cone? Grace made a cone for her sand castle with a radius of 6 inches and a height of 4.5 Inches. What is the volume of this cone? 6 in Type here to search ה 7 4:27 PM 10/6/2020
Answers
Answer
Check Explanation
Explanation
The volume of cone is given as
Volume of a cone = ⅓ (πr²h)
where
r = radius of the cone
h = height of the cone
also note that radius of a cone = ½ (Diameter of the cone)
1) Dylan's cone
Radius = 4.5 inches
Height = 6 inches
Volume = ⅓ (πr²h)
= ⅓ (π × 4.5² × 6)
= ⅓ (381.7035)
= 127.23 in³
2) Shane's cone
Radius = ½ (Diameter of the cone)
Diameter of the cone = 4.5 inches
Radius = ½ (4.5) = 2.25 inches
Height = 6 inches
Volume = ⅓ (πr²h)
= ⅓ (π × 2.25² × 6)
= ⅓ (95.426)
= 31.81 in³
3) Jake's cone
Radius = ½ (Diameter of the cone)
Diameter of the cone = 6 inches
Radius = ½ (6) = 3 inches
Height = 4.5 inches
Volume = ⅓ (πr²h)
= ⅓ (π × 3² × 4.5)
= ⅓ (127.2345)
= 42.41 in³
4) Grace's cone
Radius = 6 inches
Height = 4.5 inches
Volume = ⅓ (πr²h)
= ⅓ (π × 6² × 4.5)
= ⅓ (508.938)
= 169.65 in³
Hope this Helps!!!
Tommy spent $16 on two toys. The cost of each toy was a multiple of $4. What are the possible prices of the toys?
Answers
ok
Possible prices
Toy 1 Toy 2 Total Price
$12 $4 $16
$8 $8 $16
$4 $12 $16
These are the possible prices:
A motorboat goes downstream in the river and covers the distance between two coastaltown in 3 hours. It covers this distance upstream in 4 hours. If the speed of the stream is5 km/hr, find the speed of the boat in still water and the distance between the twocoastal towns.
Answers
we have the following:
speed of the boat in still water be x
the speed of the stream is 5 km/h
upstream
[tex]\begin{gathered} speed=x-5 \\ d=s\cdot t \\ d=(x-5)\cdot4 \\ \end{gathered}[/tex]downstream:
[tex]\begin{gathered} speed=x+5 \\ d=s\cdot t \\ d=(x+5)\cdot3 \\ \end{gathered}[/tex]therefore:
[tex]\begin{gathered} (x-5)\cdot4=(x+5)\cdot3 \\ 4x-20=3x+15 \\ 4x-3x=15+20 \\ x=35 \end{gathered}[/tex]The answer is 35 km/h
18 = 9 ( x + 8 ) solve for x
Answers
Answer:-6
Step-by-step explanation:
18=9x(n+8) so if "n" = -7 then -6+8 is 2, and 2x9 is 18
Find the product 1. 61 X 63
Answers
The product of 1. 61 and 63 gives 101.43
I need to know how to do this step by step. I'm having trouble with figuring out what comes first and What do I have to do next when solving the problem
Answers
The given inequality is
[tex]3y\leq2y+3[/tex]First, we need to isolate y
To do that we want to move 2y from the right side to the left side, then
To do that subtract 2y from 3y and subtract 2y from (2y + 3)
[tex]3y-2y\leq2y-2y+3[/tex]Since 3y - 2y = 1y
Since 2y - 2y = 0
[tex]\begin{gathered} 3y-2y\leq(2y-2y)+3 \\ 1y\leq0+3 \end{gathered}[/tex]Since 0 + 3 = 3
Then the answer is
[tex]\begin{gathered} 1y\leq3 \\ y\leq3 \end{gathered}[/tex]The answer is B
Select the three equations that pass through the points (–4, –16) and (5, 2):
A) y + 4 = 2(x – 16)
B) y – 2 = 2(x – 5)
C) y = 2x – 8
D) y + 16 = 2(x + 4)
Answers
The equations of the line can be:
B) y – 2 = 2(x – 5)
C) y = 2x – 8
D) y + 16 = 2(x + 4)
What is the Equation of a Line?The equation of a line can be expressed in either ways below:
In point-slope form as y - b = m(x - a) [(a, b) is a point on the line, m is the slope of the line]In slope-intercept form as y = mx + b [m is the slope of the line, and b is the y-intercept of the line.The points that the line passes through are given as:
(-4, -16) and (5, 2)
Slope of the line (m) = change in y / change in x
Slope of the line (m) = (2 -(-16))/(5 -(-4))
Slope of the line (m) = 2
Substitute (a, b) = (-4, -16) and = 2 into y - b = m(x - a):
y - (-16) = 2(x - (-4))
y + 16 = 2(x + 4)
We can also plug in the second point (5, 2) and the slope to get the equation of the line as y – 2 = 2(x – 5).
Any of the equation could also be rewritten in the form of the slope-intercept form as y = 2x - 8.
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The question is which of the following functions best represents the graphA.)y=0.5x+2.5B.)y=0.5(2.5)^xC.)y=0.5(6)^xD.)y=3.5x^2+0.5
Answers
The general form of an exponential function is given below:
[tex]\begin{gathered} y=a(b^x)\ldots.eqn(1) \\ \text{For point (0,0.5), x=0 and y =0.5} \\ \text{substituting the above values into the equation, we get} \end{gathered}[/tex][tex]\begin{gathered} 0.5=a(b^0) \\ 0.5=a(1) \\ a=0.5 \end{gathered}[/tex]For point (1,3); x = 1 and y = 3,
Substituting the above values into the equation, we get
[tex]\begin{gathered} 3=a(b^1) \\ \text{But a=0.5 , so we get} \\ 3=0.5(b) \\ 3=\frac{1}{2}b \\ \text{Cross multiplying, we get} \\ b=3\times2 \\ b=6 \\ So,\text{ the exponential equation becomes} \\ y=0.5(6)^x \end{gathered}[/tex]Thus, the correct answer is y = 0.5(6)^x (option C)
what is the dilation of this the bigger one is the original size.
Answers
Point P(6,6)
Point P'(2, 2)
To determine the dilation:
[tex]\begin{gathered} 6x=2 \\ x=\frac{2}{6} \\ x=\frac{1}{3} \end{gathered}[/tex]The dilation of this image is 1/3.
A country is not building many nuclear plants, but the ones it has are running at nearly full capacity. The output (as a percent of total capacity) of nuclear plants isdescribed by the equationy-1.92631+ 70.081where t is measured in years, with 1 = corresponding to the beginning of 1990.If the utilization of nuclear power continues to grow at the same rate and the total capacity of nuclear plants in the country remains constant, by what year can theplants be expected to be generating at maximum capacity?
Answers
Weare asked to find the year at which a nuclear plant will be working at 100% capacity, given that the expression for the percent of capacity as a function of time is:
y(t) = 1.9263 t + 70.061
Then , we want to find the time "t" when this function will render 100:
100 = 1.9263 t + 70.061
solve for t by subtracting 70.061 from both sides:
100 - 70.061 = 1.9263 t
and then divide both sides by 1.9263:
29.939 / 1.9263 = t
t = 15.5422 years
Notice that this is the number of years counting from 1990 (which is the zero starting point) then we expect the plant to be working at 100 by the year:
1990 + 15.5 = 2005.5, so for sure by 2006 the plant will be working full capacity
Writing Solve the system using addition. Use pencil and paper. Explain why the addition method is agood choice for solving the system. If you wanted to solve for x first, is the addition method still a goodchoice? Explain.X-3.3y = 5.6- X+4.9y = -8.8
Answers
Given the two equations
[tex]\begin{gathered} x-3.3y=5.6 \\ -x+4.9y=-8.8 \end{gathered}[/tex]If we have to solve this question, we will do so easily using the addition method because we can easily eliminate x. Also because we will avoid using fractions to get our answers
Thus if we add the two equations
[tex]\begin{gathered} -3.3y+4.9y=5.6-8.8 \\ 1.6y=-3.2 \\ y=-2 \end{gathered}[/tex]Then, the value of x from the first equation
[tex]\begin{gathered} x-3.3y=5.6 \\ x-3.3(-2)=5.6 \\ x+6.6=5.6 \\ x=5.6-6.6 \\ x=-1 \end{gathered}[/tex]Therefore
[tex]x=-1,y=-2[/tex]If we wanted to solve for x first, this method of addition would not be convenient because the coefficients of y in the two equations are neither the same nor equal to one.
The following data represents the age of 30 lottery winners Complete the frequency distribution for the data
Answers
EXPLANATION
We can complete the frequency table by arranging each given value with its corresponding age class, as shown as follows:
Age class Frequency
20-29 1
30-39 4
40-49 2
50-59 7
60-69 11
70-79 4
80-89 1
The complete frequency distribution for the data is,
Age Frequency
20-29 1
30-39 4
40-49 2
50-59 7
60-69 11
70-79 4
80-89 1
We have to given that;
The following data represents the age of 30 lottery winners.
Now, We can formulate;
By given table,
Age Frequency
20-29 1
30-39 4
40-49 2
50-59 7
60-69 11
70-79 4
80-89 1
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Abigail Henderson has $3400.00 budgeted for spending money on an upcoming trip to Country A and Country B.
Country A's currency is trading at $1.30 per currency A, and Country B's currency is trading at $1.60 per currency B.
She plans to spend more time in Country A, so she wants to have four times as much of currency A as currency B. Set
up and solve a system of equations to model this problem, and explain what the answer means in practical terms.
Answers
The amounts that she has to spend are of $2000 in Country A and $500 in Country B, using a system of equations.
What is the system of equations?
The first step in building the system of equations is identifying the variables, as follows:
Considering the total amount of $3400 that she has to spend, and the rates of each country, the following equation is established:
1.3x + 1.6y = 3400.
She wants to have four times as much of currency A as she wants of currency B, hence the second equation of the system is presented as follows:
x = 4y.
Then the amount that she will have to spend in Country B is calculated replacing x = 4y on the first equation as follows:
1.3(4y) + 1.6y = 3400
6.8y = 3400
y = 3400/6.8
y = $500.
The amount that she has to spend in Country A is given as follows:
x = 4y = 4 x 500 = $2000.
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Multiply:-3.2 (-13) x 6 OA) 249.6OB) -249.6OC) -234OD) 234
Answers
Answer:
A. 249.6
Explanation:
First, we need to multiply -3.2 by -13, so the product is:
-3.2(-13) = 41.6
The product is positive because the multiplication of two negatives numbers is equal to a positive number.
Then, we need to multiply 41.6 by 6, so:
41.6 x 6 = 249.6
Therefore, the answer is A. 249.6
Use a table to solve the following proportion word problems. Then choosethe correct answer.10. The ratio of sand to cement used for making a concrete walkway is1 to 2. If there are 16 pounds of cement, how many pounds of sandare needed?1ySand (in pounds)Cement (in pounds)2.16Aà pound of sandB32 pounds of sandC8 pounds of sand
Answers
Let:
x = pounds of sands
y = pounds of cement
[tex]\begin{gathered} y=\frac{1}{2}x \\ \text{if y=16} \\ 16=\frac{1}{2}x \\ \text{Solve for x:} \\ x=16\times2 \\ x=32lb \end{gathered}[/tex]32 pounds of sand are needed
85. What is the value of x?والے1040)DDrawing not to scaleA 38°B. 128°C. 76D. 52°
Answers
Given:
One of the angle of a triangle is 104°.
The objective is to find the missing angle x.
If two sides of a triangle are equal, then it is an isosceles triangle.
In an isosceles triangle, the angle formed by the equal sides is also equal.
Then, the value of angle x can be calculated angle sum property of triangle.
[tex]\begin{gathered} x+x+104\degree=180\degree \\ 2x+104\degree=180\degree \\ 2x=180\degree-104\degree \\ 2x=76\degree \\ x=\frac{76}{2} \\ x=38\degree \end{gathered}[/tex]Hence, option (A) is the correct answer.
The graph of the function f is shown below Find one value of x for which f(x) =2 and find f(2)A- One value of X for which f(x)=2: B- f(2) =
Answers
To find the corresponding x where the function assumes a certain value, we draw a horizontal line on the desired function value. For f(x) = 2, we have:
The intercept between the horizontal line and our graph happens at (0, 2), therefore, we have:
[tex]f(x)=2\implies x=0[/tex]To evaluate graphically a function, we check the corresponding value for the desired x value on the horizontal axis. For x = 2, we have:
Then
[tex]f(2)=1[/tex]трана s 11 27-1.5 - 10 720 1 0 - Ayo ys agoga vo Anto 36-18-22 А) tarao utas se terre doүчно y-studio Critical thinking questions ту 25) Write a system of equations with the solution (4, -3).
Answers
We have to solve the system:
[tex]\begin{gathered} -\frac{5}{7}-\frac{11}{7}x=-y \\ 2y=7+5x \end{gathered}[/tex]To solve this system by elimination we have to add or substract a linear combination of the second equation from the first equation in order to eliminate one of the variables.
In this case we can multiply the first equation by 2 and add it to the second equation:
[tex]\begin{gathered} -y\cdot2=(-\frac{5}{7}-\frac{11}{7}x)\cdot2 \\ -2y=-\frac{10}{7}-\frac{22}{7}x \end{gathered}[/tex][tex]\begin{gathered} -2y+2y=(-\frac{10}{7}-\frac{22}{7}x)+(7+5x) \\ 0=-\frac{10}{7}-\frac{22}{7}x+7+5x \\ \frac{22}{7}x-5x=7-\frac{10}{7} \\ \frac{22x-5\cdot7x}{7}=\frac{7\cdot7-10}{7} \\ 22x-35x=49-10 \\ -13x=39 \\ x=\frac{39}{-13} \\ x=-3 \end{gathered}[/tex]Now we can use any of the two equations to find y:
[tex]\begin{gathered} -y=-\frac{5}{7}-\frac{11}{7}x \\ y=\frac{5}{7}+\frac{11}{7}(-3) \\ y=\frac{5}{7}-\frac{33}{7} \\ y=-\frac{28}{7} \\ y=-4 \end{gathered}[/tex]Answer: x=-3 and y=-4
i need help please help me
Answers
Answer
Check Explanation
Explanation
We've been told that 2 cups of mix corresponds to 1.5 cups of water.
2 cups of mix = 1.5 cups of water
Let 8 cups of mix be equal to x cups of water
2 cups of mix = 1.5 cups of water
8 cups of mix = x cups of water
We can write a mathematical relationship by cross multiplying
2 × x = 8 × 1.5
2x = 12
Divide both sides by 2
(2x/2) = (12/2)
x = 6 cups of water
Let y cups of mix correspond to 4 cups of water
2 cups of mix = 1.5 cups of water
y cups of mix = 4 cups of water
We can write a mathematical relationship by cross multiplying
1.5 × y = 2 × 4
1.5y = 8
Divide both sides by 1.5
(1.5y/1.5) = (8/1.5)
y = 5.33 cups of mix
b) To write the proportional relationship represented by the table,
We can see that the cups of mix is proportional to the cups of water,
2 cups of mix = 1.5 cups of water
Dividing both sides by 2
1 cup of mix = 0.75 cup of water.
Hope this Helps!!!
20/35 and 30/45 Are these ratios proptional?yes or no?
Answers
Two ratios are proportional if after reducing them to thier lowest terms, they results are the same. By reducing to its lowest term, the numerator and denominator is divided by a common fraction until it cannot be reduced further.
For 20/35, if we divide the numerator and denominator by 5, it becomes
4/7
For 30/45, if we divide the numerator and denominator by 15, it becomes
2/3
Since the results are not equal, then the ratios are
What is the slope to question 1,3,4,5,7
Answers
Answer:
The image is blurry, I cannot see it. Maybe take a better pic.
Step-by-step explanation:
another ratio that is equivalent to the ratio 4:6. Your answer
Answers
The given ratio is 4:6
We can determine another ratio that is equivalent bymultiplying or dividing both numbers by a common factor.
If we divide by a common factor, we would be reducing the ratio to its lowest term. If we divide by 2, the equivalent ratio woyld be
4/2 : 6/2
= 2:3
Another equivalent ratio is 2:3
Point O is the center of this circle. What is mZCAB?A. 55 degrees B. 48 degrees C. 45 degrees D. 35 degrees
Answers
We are asked to find the measure of the angle CAB in the given figure.
Recall that the central angle is twice any inscribed angle subtended by the same arc.
For the given case, the central angle is given that is 96°
This means that the angle CAB must be half of the central angle.
[tex]m\angle CAB=\frac{1}{2}\cdot96\degree=48\degree[/tex]Therefore, the measure of the angle CAB is 48°
Write an equation of the line that is perpendicular to 3x + y = 7 and passes through the point (6,4).
Answers
Firstly, we proceed to write the given equation in the standard form of the slope-intercept
That is written as;
[tex]y\text{ = mx + b}[/tex]where m represents the slope and b represents the y-intercept
In this case, we can write the given equation as;
[tex]y\text{ = -3x + 7}[/tex]From above, we can see the slope as -3 and the y-intercept as 7
If two lines are perpendicular to each other, then the product of the slopes of the two lines is equal to -1
Let us call the given line, line 1 and the other line, line 2
Thus, we have;
[tex]\begin{gathered} m_1\text{ }\times m_2\text{ = -1} \\ \\ -3\text{ }\times m_2\text{ = -1} \\ \\ m_2\text{ = }\frac{-1}{-3}\text{ = }\frac{1}{3} \end{gathered}[/tex]So now, we want to write the equation of a line with slope of 1/3 with the line passing through the point (6,4)
We can use the one-point slope form for this
This can be written as;
[tex]\begin{gathered} y-y_1=m(x-x_1) \\ y\text{ - 4 = }\frac{1}{3}(x-6) \\ \\ 3(y-4)\text{ = x-6} \\ \\ 3y\text{ - 12 = x - 6} \\ \\ 3y\text{ = x-6+12} \\ \\ 3y\text{ = x + 6} \end{gathered}[/tex]what is the value of 8 to the power of minus 3 over 4
Answers
The value of the number "8 to the power of minus 3 over 4" is found as -6561/16777216.
What is meant by the term power of a number?The power of a number is the number of multiples of that number. An exponent is a symbol that represents a number's power.When a number is "raised to a second power," it indicates that it has been multiplied together twice. Whenever a number is "raised to the fifth power," it indicates it has been multiplied by five. The reciprocal of the base is used to calculate the value of the number raised to the power of the a negative number.For the given number,
8 to the power of minus 3 over 4 can be written as;
= (-3/8)⁸
Expand the number to the 8th power.
= (-3/8)×(-3/8)× (-3/8)× (-3/8)× (-3/8)× (-3/8)× (-3/8)× (-3/8)
= -6561/16777216
Thus, the value of the number "8 to the power of minus 3 over 4" is found as -6561/16777216.
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Find the area of a triangle whose sides are 3cm,6cm and 7cm
Answers
Answer:
See below
Step-by-step explanation:
It is NOT a RIGHT triangle so you cannot use 1/2 b * h
but you can use Heron's Formula
Area = sqrt( s (s-a)(s-b)(s-c) )
s = semi- perimeter = (3+6+7)/2 = 8
Area = sqrt ( 8 ( 8-3)(8-6)(8-7) ) = sqrt ( 80) = 8.9 cm^2
what is the value of g(f(2))
Answers
First we need to find f(2), this is when x=2 on the funciton F
from the table we can notice when x=2 f is 3
now, we need to find g(3), it is when x is 3 on the funcion G
from the table we can notice wen x=3 G is -2
so
[tex]g(f(2))=-2[/tex]Supplier X offers a mechanic a part at 35% off the retail price of $68.20. Supplier Y offers him the same part at 20% over the wholesale cost of $37.50. Which is the better deal, and by how much?A. Supplier Y offers the better deal by $_____B. Supplier X offers the better deal by $_____
Answers
Given:
There are given two suppliers X and Y.
Where,
X offers a mechanic a part of 35% off the retail price of $68.20 and Y offers at 20% over the wholesale cost of $37.50.
Explanation:
To find the best offers, we need to find their percentages one by one.
So,
First, find the offer amount from supplier X.
So,
[tex]X=68.20-68.20\times35\%[/tex]Then,
[tex]\begin{gathered} X=68.20\times35\operatorname{\%} \\ X=23.87 \\ X=23.87 \end{gathered}[/tex]Now,
For the Y suppliers:
[tex]Y=37.50-37.50\times20\%[/tex]Then,
[tex]\begin{gathered} Y=37.50\times20\operatorname{\%} \\ Y=7.5 \\ Y=7.5 \end{gathered}[/tex]So,
The best deal for supplier Y is because they offer $23.87.
Final answer:
Hence, the correct option is B with $23.87
Paul took a total of 30 pages of notes during 15 hours of class. In all, how many hours willPaul have to spend in class before he will have a total of 32 pages of notes in his notebook?Assume the relationship is directly proportional.
Answers
ANSWER:
16 hours
STEP-BY-STEP EXPLANATION:
Since the relationship is directly proportional, we can establish the following relation:
If there are 30 pages in 15 hours, how many hours will the 32 pages be:
[tex]\frac{15}{30}=\frac{x}{32}[/tex]Solving for x:
[tex]\begin{gathered} x=\frac{15\cdot32}{30} \\ x=16 \end{gathered}[/tex]The number of hours is 16
thirteen and thirteen thousandths decimal form