Answers
The function that is graphed here is option A;
y = {x³ - 3, x ≤ 2 and x² + 6, x > 2
Given,
The graph
Function;
A function is a mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable).
We have to find the function that is graphed here from the given options.
Here,
The function that is graphed here is option A;
y = {x³ - 3, x ≤ 2 and x² + 6, x > 2
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Related Questions
Need help with number 2 not sure how to solve it all
Answers
B(x) will be given by:
[tex]B(x)=100x-5[/tex]Part 1:
x = 9
[tex]B(9)=100(9)-5=900-5=895[/tex]Part 2:
x = 10.34
[tex]B(10.34)=100(10.34)-5=1034-5=1029[/tex]Part 3:
[tex]B(9)+B(10.34)=895+1029=1924[/tex]Question 25 of 27Which of the following is an example of independent events?OA. Rolling a 6 on a number cube and spinning a 7 on a spinnerB. Drawing a jack from a standard deck of cards and then drawing a2 without replacing the jackC. Selecting a green marble from a bag of 10 different coloredmarbles and then selecting a second green marble without puttingthe first backOD. Owning cows and living on a dairy farm
Answers
Independent events are events where one event occurring or not does not affect whether the other one happens.
Pulling two cards out of a deck of cards, when you don't replace the first card, or pulling two marbles from a bag, where you don't replace the first marble, are not independent. By removing the first card/marble, you've change the situation for the second draw.
Using a spinner and rolling a die are totally independent, since they are different objects and what happens on one does not impact what will happen on the other.
And if you live on a dairy farm, that creates a better chance of being involved with dairy production and cows, so those are not independent.
Option A has two independent events.
12) Determine if the number is rational (R) or irrational (I)
Answers
Given
[tex]number=\sqrt{17}[/tex]Find
Determine if the number is rational or irrational.
Explanation
It cannot be expressed in the form of p/q , where q is not equal to 0.
so , it is irrational number.
Final Answer
Therefore , the number is irrational.
Assignment 10-1 A Triangle ABC = Triangle S B U
Answers
we know that
If two triangles are congruent, then its corresponding sides and corresponding angles are congruent
Remember that
Corresponding sides are named using pairs of letters in the same position on either side of the congruence statement
so
In this problem
ST=AB
SU=AC
UT=CB
therefore
Triangle
ABC=STUMantinum What is 92,119 rounded to the nearest thousand?
Answers
We will have that 92,119 rounded to the nearest thousand is:
[tex]92,119[/tex]This is since there are not smaller decimals on the number to be able to round it.
Place the numbers in order fromgreatest to least27, 62%, -0.062,65,0.
Answers
Answer
Explanation
To arrange this numbers in the required order, we need to simplify each of them and then compare them.
√3 = 1.732
172% = (172/100) = 1.72
-1.7 = -1.7
1 7/10 = 1 + 0.7 = 1.7
-0.7 = -0.7simplify each of them and then compare them.
I am trying to place the second point at 12.5. My graph only extend to -10.
Answers
We have to graph the line y = -2/5*x-5.
To do that, we need two points that belong to the line.
We can give two arbitrary values to x and calculate y using the equation of the line.
For example, for x=0, we get:
[tex]x=0\Rightarrow y(0)=-\frac{2}{5}\cdot0-5=-5[/tex]Then, the point is (0,-5).
Now, if we make x = 5, we can calculate y as:
[tex]x=5\Rightarrow y(5)=-\frac{2}{5}\cdot5-5=-2-5=-7[/tex]Then, we get the point (5, -7).
Using this two points we can graph the line as:
NOTE: In the case that the graph is limited to certain intervals in x or y, we have to try with different values of x until we find two points within the range shown by the graph.
In this case, (0,-5) and (5,-7) will be located within the range shown.
Find the distance between the pair of points below to the nearest tenth, if necessary (-2,3), (6,9)
Answers
We can find the distance between the points by means of the distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]where
[tex]\begin{gathered} (x_1,y_1)=(-2,3) \\ (x_2,y_2)=(6,9) \end{gathered}[/tex]By substituting these values into the distance formula, we have
[tex]d=\sqrt{(6-(-2))^2+(9-3)^2}[/tex]which gives
[tex]\begin{gathered} d=\sqrt{(6+2)^2+6^2} \\ d=\sqrt{8^2+36} \\ d=\sqrt{64+36} \end{gathered}[/tex]so we have
[tex]\begin{gathered} d=\sqrt{100} \\ d=10 \end{gathered}[/tex]Therefore, the distance between the two points is 10 units.
a midwestern music competition awarded 40 ribbons. the number of blue ribbons awarded was 2 less than the number of white ribbons. the number of red ribbons was 3 more than the number of white ribbons. how many of each kind of ribbon was awarded
Answers
By the concept of basic equation there are 13 white ribbons, 11 blue ribbons and 16 red ribbons.
What are basic equation?When two expressions are connected with the equals sign (=) in a mathematical formula, it expresses the equality of the two expressions. An equation is an algebraic statement that demonstrates two mathematical expressions are equivalent in algebra, and this is how it is most usually used. In the equation 3x + 5 = 14, for instance, the two expressions 3x + 5 and 14 are separated by the symbol "equal." When two expressions are joined by an equal sign, a mathematical statement is called an equation. An equation is something like 3x - 5 = 16. By solving for x, we discover that x equals 7, which is the value for the variable.
r + w + b = 40
b = w - 2
r = w + 3
now we sub
(w + 3) + w + (w - 2) = 40
3w + 1 = 40
3w = 40 - 1
3w = 39
w = 39/3
w = 13
<=== 13 white ribbons
b = w - 2
13 - 2 = 11
<=== 11 blue ribbons
r = w + 3.
13 + 3 = 16
<=== 16 red ribbons
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One of the two persons P or Q is to solve a technical problem with chances ½ and ¼, respectively. Find the probability that the technical problem is solved.A.1/8B.3/8C.5/8D.7/8
Answers
The probability that the technical problem is solved can be defined as follows:
The probability that P solves the problem or probability that Q solves the problem or probability that both (P and Q) solve the problem
The probability that P solves the problem = 1/2
The probability that Q solves the problem= 1/4
The probability that both solve the problem = (1/2) x (1/4) = 1/8
The probability that the technical problem is solved =
[tex]\begin{gathered} \frac{1}{2}\text{ + }\frac{1}{4}\text{ -}\frac{1}{8} \\ =\frac{4+2-1}{8} \\ \frac{5}{8} \end{gathered}[/tex]The correct option is C
A chemist wishes to mix a solution that is 6% acid. She has on hand 14 liters of a 4% acid solution and wishes to add some 10% acid solution to obtain the desired 6% acid solution. How much 10% acid solution should she add?
Answers
she should add 7 liters of 10% acid solution
Explanation
Step 1
set the equation:
a) let X represents the amount os solution that is 4% acid
let Y represents the amount os solution that is 10% acid
so
I)
[tex]\begin{gathered} \frac{4}{100}X+\frac{10}{100}Y=\frac{6}{100}(x+y) \\ \end{gathered}[/tex]if he has 14 liters of 4% acid solution
[tex]x=14[/tex][tex]\begin{gathered} \frac{4}{100}X+\frac{10}{100}Y=\frac{6}{100}(X+Y) \\ \frac{4}{100}*14+\frac{10}{100}Y=\frac{6}{100}(X+Y) \\ 0.56+0.1Y=0.06(14+Y) \\ 0.56+0.1Y=0.84+0.06Y \\ \end{gathered}[/tex]Step 2
solve the equation :
[tex]\begin{gathered} 0.56+0.1Y=0.84+0.06Y \\ subtract\text{ 0.06Y in both sides} \\ 0.56+0.1Y-0.06Y=0.84+0.06Y-0.06Y \\ 0.56+0.04Y=0.84 \\ subtract\text{ 0.56 in both sides} \\ 0.56+0.04Y-0.56=0.84-0.56 \\ 0.04Y=0.28 \\ divide\text{ both sides by 0.04} \\ \frac{0.04Y}{0.04}=\frac{0.28}{0.04} \\ Y=7 \end{gathered}[/tex]therefore,
she should add 7 liters of 10% acid solution
I hope this helps you
Which value of x makes the equation 4x+9=x+6 true?
Answers
Answer:
x=-1
Explanation:
Given the equation:
[tex]4x+9=x+6[/tex]First, we subtract 9 from both sides.
[tex]\begin{gathered} 4x+9-9=x+6-9 \\ 4x=x-3 \end{gathered}[/tex]Next, we subtract x from both sides.
[tex]\begin{gathered} 4x-x=x-x-3 \\ 3x=-3 \end{gathered}[/tex]Finally, we divide both sides by the number beside x which is 3.
[tex]\begin{gathered} \frac{3x}{3}=\frac{-3}{3} \\ x=-1 \end{gathered}[/tex]The value of x that makes the equation true is -1.
Graph each inequality.Do I have to make the equation say y<??
Answers
x + y =< 2
y =< 2 - x Yes, in the inequality y must be alone
4.-
Yes, you must look at the point of the sign if the y is to the left of the sign (<) you must shade the area below the line. if the y is to the right of the sign(<), you must shade the area abocve the line.
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Question 6 of 13Use a calculator to find the correlation coefficient of the data set.X13LO5y2014106916 4
Answers
Given
The data,
[tex][/tex]A physical education teacher plans to divide the seventh graders at Wilson Middle School into teams of equal size for a year-ending mock Olympic event. He wants each team to have between 6 and 10 students, and all teams need to have the same number of students. The seventh grade at Wilson consists of three classes; one with 20 students, one with 33 , and one with 26 . How many students should be on each team?
Answers
First let's find the total number of students:
[tex]S=20+33+26=79[/tex]Now, let's divide this total by 6, 7, 8, 9 and 10, and check if the result has no remaining (that is, the result is a whole number):
[tex]\begin{gathered} \frac{79}{6}=13.167 \\ \\ \frac{79}{7}=11.286 \\ \\ \frac{79}{8}=9.875 \\ \\ \frac{79}{9}=8.778 \\ \\ \frac{79}{10}=7.9 \end{gathered}[/tex]Since none of the results is a whole number, it's impossible to divide these students in teams with the same number of students.
Therefore the correct option is the second one.
10b-2x+6 True or False is the expression contains 3 terms
Answers
It is true because they are not similiar.
Complete the explanation of how you know whether the triangles are similar. If possible, find the Indicated length. A Р 2.0 1.7 во 1.2 C R. Because two pairs of angles are congruent, the triangles are similar by the select) QR =
Answers
When two triangles have two pairs of angles congruent, it means that the third pair of angles also is congruent.
Then, the trianglers are similar by AA (Angle, angle) similar triangle theorem.When two triangles are similar the ratio between corresponding sides is the same.
Corresponding sides in the given triangles:
CB and QR
AC and PR
AB and PQ
[tex]\frac{QR}{CB}=\frac{PR}{AC}=\frac{PQ}{AB}[/tex]Then, as you know the measure of AC and corresponding side CB you use the next to find the measure of side QR:
[tex]\frac{QR}{CB}=\frac{PR}{AC}[/tex]Use the given measures and find QR:
[tex]\begin{gathered} \frac{QR}{1.2}=\frac{1.7}{2.0} \\ \\ QR=\frac{1.7}{2.0}(1.2) \\ \\ QR=\frac{2.04}{2.0} \\ \\ QR=1.02 \end{gathered}[/tex]QR=1.02Can I please just get the answer I’m trying to get this class done before the 10th……
Answers
Given:
The batting averages are given in stemplot way.
The objective is to determine what batting average does 0.35│6 denotes.
Explanation:
In stemplot method, the stem represents all common digits other than one place value in the given set of data. The leaf represents the variation of once place for the respective stem data.
Then the given expression 0.35│6 represents the stem value as 0.35 and 6 as the leaf value.
Thus. one occurence of batting average is 0.356.
Hence, option (B) is the correct answer.
Find the constant of proportionality when x = 2 and y = 1.5.Record your answer and fill in the bubbles on your answer document. Be sure to usethe correct place value.
Answers
If y is proportional to x, we have this equation:
[tex]y=kx[/tex]If x = 2 and y = 1.5, then the constant is:
[tex]k=\frac{y}{x}=\frac{1.5}{2}=0.75[/tex]The constant of proportionality is k = 0.75
3.Find the values of x and y. Leave your answers in simplest radical form.6022yxX =y =Page
Answers
To calculate the values of x and y we need to apply the trigonometric relations to the right triangle. For this we will use the sine and cosine, their expressions are shown below:
[tex]\begin{gathered} \sin (\alpha)=\frac{\text{ opposite cathetus}}{\text{ hypothenuse}} \\ \cos (\alpha)=\frac{\text{ adjacent cathetus}}{\text{ hypothenuse}} \end{gathered}[/tex]Where alpha is the angle we know, the opposite cathetus is the cathetus that is farther from the angle and the adjacent cathetus is the cathetus that is closer to the angle. With this in mind we can use the data from the problem to calculate x and y.
[tex]\begin{gathered} \sin (60)=\frac{x}{22} \\ 0.866=\frac{x}{22} \\ x=22\cdot0.866=19.052 \end{gathered}[/tex][tex]\begin{gathered} \cos (60)=\frac{y}{22} \\ 0.5=\frac{y}{22} \\ y=0.5\cdot22=11 \end{gathered}[/tex]The value of x is equal to 19.052 and y is equal to 11.
Mr mustard bought a bag of citrus tree fertilizer. He used 1/5 of the bag for his orange tree and 2/3 of the bag for his lemon tree. About how much of the fertilizer does he have left?A. 0.5 B. 0.8 C. 0 D. 0.1
Answers
Problem
Mr mustard bought a bag of citrus tree fertilizer. He used 1/5 of the bag for his orange tree and 2/3 of the bag for his lemon tree. About how much of the fertilizer does he have left?
Solution
For this problem we know that the total bag represent 1 and since he used 1/5 for the orange tree and 2/3 for the lemon tree we can do the following operation to find the remaining space:
[tex]1-\frac{1}{5}-\frac{2}{3}[/tex]And after solve the operation we got:
[tex]\frac{4}{5}-\frac{2}{3}=\frac{2}{15}[/tex]And if we convert to decimals we got 2/15= 0.133
Then the best approximation for this case would be:
D. 0.1
Question 9 of 10If bis an explanatory variable and cis the corresponding response variable,which of these would be represented by the vertical axis on a scatterplot?O A. b БB. Neither b nor cOC. Both band cD. CSUBMIT
Answers
The response variable is dependent variable , and depends on the explanatory variable. The explanatory variable is independant variable and always represented on the horizontal axis.
The dependent variable (or response varaible) is represented on the vertical axis. So C is represented on the vertical axis of scatter plot.
Select the correct mapping of function f(x) to g(x), that represents a translation of 2 units to the right, and a horizontal compression of a factor of 3.
Answers
Given:
Translation of 2 units to the right.
A horizontal compression of a factor of 3.
[tex]f(x)=x^2\rightarrow g(x)=3(x-2)^2[/tex]Use the Change-of-Base Formula and a calculator to evaluate the logarithm. Round your answer to three decimal places.
Answers
In order to solve this problem, we need to change the base of the logarithm function so we can use the calculator to solve it. One possible way to do it is by writing it in base 10.
We have:
[tex]\log _ba=\frac{\log _{10}a}{\log _{10}b}[/tex]In this problem, we have:
a = 47
b = 8.1
So, we can write
[tex]\log _{8.1}47=\frac{\log _{10}47}{\log _{10}8.1}[/tex]Now, using a calculator, we obtain:
[tex]\frac{\log_{10}47}{\log_{10}8.1}\cong1.841[/tex]Therefore, the last option is correct.
If v, = (2,4) and v2 = (-1,5), then w,-V is equal to which of the following?O 18O (-2. 20)O 22O (8.-5)
Answers
We are given the following matrix:
[tex]A=\begin{bmatrix}{4} & {-7} & {} \\ {-2} & {1} & {} \\ {} & {} & {}\end{bmatrix}[/tex]We are asked to determine the coefficients of:
[tex]A^{-1}[/tex]Which is the inverse matrix. To do that let's remember that the inverse of a 2 by 2 matrix of the form:
[tex]A=\begin{bmatrix}{a_1} & {a_2} & {} \\ {a_3} & {a_4} & {} \\ {} & {} & {}\end{bmatrix}[/tex]is:
[tex]A^{-1}=\frac{1}{\det A}\begin{bmatrix}{a_4} & {-a_2} & {} \\ {-a_3} & {a_1} & {} \\ {} & {} & {}\end{bmatrix}[/tex]The value of the determinant of A (det A) is given by:
[tex]\det A=a_1a_4-a_2a_3[/tex]Replacing we get:
[tex]A^{-1}=\frac{1}{a_1a_4-a_2a_3}\begin{bmatrix}{a_4} & {-a_2} & {} \\ {-a_3} & {a_1} & {} \\ {} & {} & {}\end{bmatrix}[/tex]Replacing the values:
[tex]A^{-1}=\frac{1}{(4)(1)-(-7)(-2)}\begin{bmatrix}{1_{}} & {7_{}} & {} \\ {2_{}} & {4_{}} & {} \\ {} & {} & {}\end{bmatrix}[/tex]Solving the operations:
[tex]A^{-1}=-\frac{1}{10}\begin{bmatrix}{1_{}} & {7_{}} & {} \\ {2_{}} & {4_{}} & {} \\ {} & {} & {}\end{bmatrix}[/tex]Or:
[tex]A^{-1}=\begin{bmatrix}{-\frac{1}{10}_{}} & {-\frac{7}{10}_{}} & {} \\ -{\frac{1}{5}_{}} & {-\frac{2}{5}_{}} & {} \\ {} & {} & {}\end{bmatrix}[/tex]Therefore, we have:
[tex]\begin{gathered} a=-\frac{1}{10} \\ b=-\frac{7}{10} \\ c=-\frac{1}{5} \\ d=-\frac{2}{5} \end{gathered}[/tex]Solve for X. Write down what type of solution the equation has. 3) [tex] \frac{10}{2x + 1} = \frac{14}{4x - 7} [/tex]
Answers
You have the following equation:
[tex]\frac{10}{2x+1}=\frac{14}{4x-7}[/tex]In order to solve for x the previous equation, multiply both sides by the LCM of the denominators, which is (2x+1)(4x-7):
[tex]\begin{gathered} (2x+1)(4x-7)\frac{10}{2x+1}=(2x+1)(4x-7)\frac{14}{4x-7} \\ (4x-7)10=(2x+1)14 \\ 40x-70=28x+14 \\ 40x-28x=14+70 \\ 12x=84 \\ x=\frac{84}{12} \\ x=7 \end{gathered}[/tex]Hence, the solution to the given equation is x = 7
#3 What does the slope tell you about the rate of change in elavation during Ryan’s uphill climb? What was the total elevation change?
Answers
Solution
Step 1:
Let find the slope
[tex]\begin{gathered} Slope\text{ = }\frac{Change\text{ in elevation}}{Change\text{ in time}} \\ S\text{lope = }\frac{1500\text{ - 300}}{120\text{ - 0}} \\ Slope\text{ = }\frac{1200}{120} \\ Slope\text{ = 10} \end{gathered}[/tex]His answer and these calculations are correct because he followed all the steps correctly to findtwo points' slope.
Step 2; First we need to determine how many different slopes there are on the given graph. Assume time is represented in minutes and distance is represented in meters. There are three in this graph, one goes from 0 minutes to 120 minutes and the second one is from 120 minutes to 150 minutes. The final one goes from 150 to 180 minutes. To calculate the speed of traveling we convert the distance traveled into a constant period of time i.e. an hour.
Question1
What does the slope tell you about the rate of change in elavation during Ryan’s uphill climb?
The first slope(line) tell us that Ryan travels from 300 meters to 1,500 meters from 0 minutes to 120 minutes.
meaning he traveled 1200 meters in 120 minutes which is equal to 600meters per hour or 0.6km/h.
In the second line, Ryan's travels no distance from 120 minutes to 150 minutes. So he was at rest and did not travel in this period of time.
In the third line (slope) , Ryan travels from 1,500 meters to 300 meters from 150 minutes to 180 minutes. So he traveled 1,200 meters in 30 minutes. This equals 2,400 meters per hour, which is 2.4 kilometers per hour.
Final answer
The slope tell you about the rate of change in the elevation during Ryan's uphill climb that:
Ryan ascends at a speed of 0.6 kilometers per hour for the two hours, takes rest for half an hour and then descends at 2.4 kilometers per hour for the half-hour.
Question 2
What is the total elevation change?
Elevation gain is the total amount you will climb in a day, and elevation loss is the total amount you will descend in a day. For example, if you climb 1000 feet, descend 500 feet, and then climb an additional 300 feet, the elevation gain would be 1300 feet and the elevation loss would be 500 feet.
From the graph?
Elevation gain = 1200 feet
Elevation loss = 1200 feet
Is this relation a function?
{(1, 3), (2, 3), (3, 4), (4, 5)}
No, because at least one output maps to more than one input.
No, because at least one output maps to more than one input.
Yes, because every input has exactly one output.
Yes, because every input has exactly one output.
No, because at least one input maps to more than one output.
No, because at least one input maps to more than one output.
Answers
The given relation {(1, 3), (2, 3), (3, 4), (4, 5)} is a function. Therefore, the correct statement is "Yes, because every input has exactly one output."
Relation:
A relation is a relationship between the x and y-coordinates. It must maps inputs to outputs.
Given,
Here we have the relation
{(1, 3), (2, 3), (3, 4), (4, 5)}
Now, we have to find whether this relation is a function or not.
We know that, a relation is said to be a relation is a function if the x values map to only one y - value. Simply said that if a relation is one-to-one or many-to-one it is a function.
Based on this rule, here each input has exactly one output. therefore, the given relation is said to be a function.
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4.) Miles has saved about $41. He wants to buy an iPod for $129 in 4 months. How much moneydoes he need to save each month to buy the iPod?
Answers
Miles has saved about $41. He wants to buy an iPod for $129 in 4 months.
So first, we need to subtract the amount that he has already saved.
[tex]\$129-\$41=\$88[/tex]Now we need to divide this amount by 4 months.
[tex]\frac{\$88}{4}=\$22[/tex]Therefore, Miles needs to save $22 each month to buy the iPod.
Which is the image of vertex T after the hexagon is rotated 180 degreesabout the origin?
Answers
Answer:
Image of vertex T: (5,2)
Step-by-step explanation:
It will be rotated 180 degrees about the origin. This means that the x-value of T will stay the same, while the y-value will be the same distance as now, just in a different direction.
Current position: -2
Distance from the origin: |-2 + 0| = 2
New coordenate: 0 + 2 = 2
Current value of x: 5
Image of vertex T: (5,2)