2 IP1Questions 1-9 of 9 | Page 1 of 1Show instructionsQuestion 1 (5 points)y = 5xd: {-2, -1, 0, 1, 2} {HeBlank 1:Blank 2:Blank 3Blank 4Blank 5Question 2 4 points
Answers
Given:
y = 5x
We are also given the domain values:
d: {-2, -1, 0, 1, 2}
The range will be all set of output values.
To find the range, substitute the set of domain values for x.
1) y = 5(-2) = -10
2) y = 5(-1) = -5
3) y = 5(0) = 0
4) y = 5(1) = 5
5) y = 5(2) = 10
ANSWER:
Blank 1: -10
Blank 2: -5
Blank 3: 0
Blank 4: 5
Blamk 5: 10
The set of range values are:
r: {-10, -5, 0, 5, 10}
Related Questions
Connor had $91.00 to invest. Part was invested at 16% and the rest at 14%. After one year, the total interest earned was $13.74. How much did he invest at each percent?please answer FAST. I beg of you
Answers
Let:
x = Investment in the first year
y = Investment in the second year
Since connor had 91.00 to invest:
[tex]x+y=91.00[/tex]Using the simple interest formula:
For 16%:
[tex]\begin{gathered} I1=PV\cdot r\cdot t \\ so\colon \\ I1=x\cdot0.16\cdot1 \\ I1=0.16x \end{gathered}[/tex]For 14%:
[tex]\begin{gathered} I2=PV\cdot r\cdot t \\ so\colon \\ I2=y\cdot0.14\cdot2 \\ I2=0.14y \end{gathered}[/tex]After one year, the total interest earned was $13.74. so:
[tex]I1+I2=13.74=0.16x+0.14y[/tex]So:
[tex]\begin{gathered} x+y=91_{\text{ }}(1) \\ 0.16x+0.14y=13.74_{\text{ }}(2) \end{gathered}[/tex]From (1):
[tex]x=91-y_{\text{ }}(3)[/tex]Replace (3) into (2):
[tex]\begin{gathered} 0.16(91-y)+0.14y=13.74 \\ 14.56-0.16y+0.14y=13.74 \\ -0.02y=-0.82 \\ y=41 \end{gathered}[/tex]Replace the value of y into (3):
[tex]\begin{gathered} x=91-41 \\ x=50 \end{gathered}[/tex]He invested $50 at 16% and $41 at 14%
find q1 of the following data set 3, 9, 12, 4, 6, 40, 25, 14, 10
Answers
According to the given data we have the following data set:
3, 9, 12, 4, 6, 40, 25, 14, 10
The first quartile, Q1, is the median of the lower half not including Q2
Therefore, in this case the Q1 would be 5
The store marks down the selling price of the boat for 30% for a clearance sale. If the original selling price is $7,500, what commission will the salesperson earn for selling the boat in the clearance price? Write an equation that uses the selling price (S) of the boat to determine the commission (C) earned for the boat sold at clearance.
Answers
Answer:
$2250
Explanation:
Given the following
Percent markdown = 30%
Origina; selling price = $7500
Commission earned = 30% of 7500
Commission earned = 0.3 * 7500
Commission earned = 2250
Hence the commission that the salesperson earn for selling the boat in the clearance price is $2250
I need help graphing this I’ve been stuck in this question for a minute.
Answers
Given data
[tex]G(s)=x^2[/tex]Subject: Find the equation of the parabola after the change.
We know the graph of the parabola.
Ifrom the given graph it can be seen that is is shifted right side.
So the equation for the given graph,
[tex]F(x)=2(x-2)^2+2[/tex]When we shift the parabola right hand side, the equation is given as,
[tex]y=(x-k)^2+h---------(1)[/tex]The graph of y = (x-k)^2+h is the resulting of shifting the graph of y = x^2.
here, k is the unit to the righ hand and h is units up.
From the given graph we can observe that the y = x^2 graph is shifting or translated in the right hand side and it is alos shifted up.
We can compare the given equation with equation (1).
[tex]\begin{gathered} k=2 \\ h=2 \end{gathered}[/tex]Therefore, the correct option is (B).
a rectangular board is 1300 milliliters long and 900 milliliters wide. what is the area of the board in square meters. do not round
Answers
Let's begin by listing out the information given to us:
Length = 1300 mm = 1.3 m, Width = 900 mm = 0.9 m
The area of a rectangle is given by:
[tex]\begin{gathered} A=l\cdot b \\ A=1.3\cdot0.9 \\ A=1.17m^2 \end{gathered}[/tex]Find (f/g)(x) for the following functionsf(x) = 10x3- 12x2 + 6x - 7 g(x)=-14x2-1
Answers
We have two functions, f(x) and g(x) and we have to find (f/g)(x).
Let h(x) = (f/g)(x).
We can write it like this:
[tex]h(x)=\frac{f(x)}{g(x)}=\frac{10x^3-12x^2+6x-7}{-14x^2-1}=\frac{-10x^3+12x^2-6x+7}{14x^2+1}[/tex](f/g)(x) is defined for all x but g(x)=0.
We can find the values of x for which (f/g) is not defined as:
[tex]\begin{gathered} -14x^2-1=0 \\ -14x^2=1 \\ x^2=-\frac{1}{14} \\ x=\sqrt[]{-\frac{1}{14}}\longrightarrow\text{not a real number} \end{gathered}[/tex]So we can conclude that (f/g)(x) is defined for all real numbers.
Answer: (f/g)(x) = (-10x^3+12x^2-6x+7)/(14x^2+1)
Solve the inequality. please explain the steps!! i really need to understand thisn/-3 + 5 > 4
Answers
The given relation is,
[tex]\frac{n}{-3}+5>4[/tex]Simplifying the equation,
[tex]\begin{gathered} n+5\times(-3)>4\times(-3) \\ n-15>-12 \\ n>-12+15 \\ n>3 \end{gathered}[/tex]What is the equation of the following line? Be sure to scroll down first to seeall answer options.(0, 0)-10KO A.y=4xB. y = -4xC. y = 8xD. y=-¹1-xE. y=x-10(2,-8)10
Answers
Solution:
From the graph;
The line passes through the points
[tex]\begin{gathered} (x_1,y_1)=(0,0) \\ (x_1,y_1)=(2,-8) \end{gathered}[/tex]To find the equation of a straight line, the formula is
[tex]\frac{y-y_1}{x-x_1}=\frac{y_2-y_1}{x_2-x_1}[/tex]Substituting the values of the coordinates into the formula above
[tex]\begin{gathered} \frac{y-0}{x-0}=\frac{-8-0}{2-0} \\ \frac{y}{x}=-4 \\ Crossmultiply \\ y=-4x \end{gathered}[/tex]Hence, the equation of the line is
[tex]y=-4x[/tex]Option B
Write two other forms of each statement.16. If the probability of an event is close to 1, it is very likely to happen.17. If you eat fruits and vegetables, you will be healthy.18. Your teeth will be whiter if you use a certain brand of toothpaste.19. You'll win the race if you run the fastest.20. All whole numbers are integers.21. All people over age 18 can serve in the armed forces.Write the converse of each statement.22. If 2x = 20, then x = 10.23. If you play a musical instrument, you will do well in school.24. The football team will play for the championship if it wins tonight.25. You'll play softball if it stops raining.26. All even numbers have a factor of 2.27. All lines extend without end in two directions.
Answers
Given: If the probability of an event is close to 1, it is very likely to happen.
Find: two other form of given statement
Explanation: 1- the probability of an event is 1. it means chance of event happening is 100 percent.
2-An event that is certain to happen has a probability of 1.
a) How many total unique passwords can be created in this way if the digits and letters as described cannot be repeated? Show your work. b) How many total unique passwords can be created if the first digit must be a 0 or 1, the last letter must be an A, B, or C, and if digits and letters are allowed to be repeated in the other spots? Show your work.
Answers
a) The digits and letters of the pasword can not be repeated, then, to determine the number of uniques passwords you use the following formula:
The sum of three consecutive even integers is equal to -102. Find three integers:The first (smallest) integer is equal to : The middle integers is equal to : The last (largest) integer is equal to :
Answers
we call the first number: x
The next even integer will be: x+2
And the third even integer: x+4
Note: from the first number 2 the second number we add two, because even numbers are 2 numbers apart, for example 2 and 4, 4 and 6, etc.
We are told that the sum of the three numbers is -102, thus, we add the numbers and equal them to -102:
[tex]x+x+2+x+4=-102[/tex]On the left side, we combine like terms:
[tex]3x+6=-102[/tex]Next, we substract 6 from both sides:
[tex]\begin{gathered} 3x+6-6=-102-6 \\ 3x=-108 \end{gathered}[/tex]And now we divide both sides by 3:
[tex]\begin{gathered} \frac{3x}{3}=\frac{-108}{3} \\ x=-36 \end{gathered}[/tex]Since we knoe x, we can find the numbers:
First number: x ----> -36
Second number: x+2 ---> -36+2=-34
Third number: x+4 ---> -36+4=-32
Smallest number: -36
Middle number: -34
Largest number: -32
The formula for time of one cycle of frequency
Answers
The formula for time is: T (period) = 1 / f (frequency)
a class of 25 students shares a class set of 100 makers on a day with 5 students absent which Statement is true?? A : for every 5 students There is 1 marker b: for every 4 students there is 1 marker. c: for each student there are 4 makers. d for each student there are 5 markers
Answers
Answer:
Explanation:
25 students share a class set of 100 markers.
However, 5 students were absent, thus:
20 students shared 100 makers.
The diameter of the first coin is 2/3 in while the second coin is 1/2in. How much larger is the first coin than the second coin?
Answers
Explanation
We can find how much larger is the first coin than the second coin by finding the difference between the areas of the two coins.
The area is given as;
[tex]A=\pi(\frac{d}{2})^2[/tex]Therefore,
[tex]\begin{gathered} \pi(\frac{2}{3})^2-\pi(\frac{1}{2})^2 \\ =\frac{4}{9}\pi-\frac{1}{4}\pi \\ =\frac{16\pi-9\pi}{36} \\ =\frac{7\pi}{36} \\ =2.4435 \end{gathered}[/tex]Answer
Therefore the first coin is bigger than the second by
[tex]2.4435\text{ square inches}[/tex]Dracula was setting up a room with tables for an event. The room had5 green tables, 11 yellow tables, 12 blue tables, and 7 purple tables.Each table can seat 10 people.What is the probability that the first person to enter the room will berandomly seated at a yellow table?Give your answer as a reduced fraction.
Answers
Solution
The room had 5 green tables, 11 yellow tables, 12 blue tables, and 7 purple tables.
Probability that the first person to enter the room will be randomly seated at a yellow table
[tex]pr(seating\text{ at a }yellow\text{ table})=\frac{11}{35}[/tex]Hence the correct answer is 11/35
which expression shows the correct way to expand (6x-6)²? 36x²-72x+36 36x²-3636x²+3636²-36x+36
Answers
(6x-6)²
[tex]\begin{gathered} \mleft(6x-6\mright)^2=(6x)^2-6x\cdot6\cdot2+6^2 \\ =36x^2-72x+36 \end{gathered}[/tex]What relationship exists between Nand K?Glven:KLMN is a parallelogram.
Answers
We know that KLMN is a parallelogram
Parallelograms have the following properties (to highlight a few):
I. Opposite sides are congruent (same) i.e. KN = LMN
II. Opposite angles are congruent (same) i.e. K = M & L = N
III. Consecutive angles are supplementary (they add up to 180 degrees) i.e. N + K = 180 degrees & L + M = 180 degrees
Therefore, N & K are supplementary angles
a new baby is born in France the newspaper reports the baby's mass to be 1.5×10³ kg
Answers
The question only supplied us with the mass of the new baby which is:
[tex]1.5\cdot10^3\operatorname{kg}\Rightarrow1500\operatorname{kg}[/tex]This mass is too bizzarre & unrealistic for
Need help with homework
Answers
So,
First of all, remember that two lines are parallel when their slopes are equal.
We want to find an equation of the line passing through the point (-6,7) that is parallel to the line:
[tex]y=\frac{1}{3}x+4[/tex]For this, first remember that any line has the following main form:
[tex]y=mx+b[/tex]Where "m" is the slope and "b" is the y-intercept.
Given that the line that we want to find is parallel, its slope is 1/3.
So, what we're going to do is to replace the point (x,y) = (-6,7) and the slope m = 1/3 in the main equation to find the value of b and then replace.
This is:
[tex]\begin{gathered} 7=\frac{1}{3}(-6)+b \\ 7=-2+b \\ 7+2=b \\ 9=b \end{gathered}[/tex]Therefore, the equation is:
[tex]y=\frac{1}{3}x+9[/tex]The data below shows a miles driven on a single day by random sample of 14 student calculate the 8th and the 74% hall of the data
Answers
Solution
8th percentile
N=14
Now we need to arrange the data from the smallest to the biggest
(Ascending order)
17, 21, 38, 46, 54, 61, 61, 66, 68, 70, 79, 81, 82, 82
[tex]\begin{gathered} n=\text{ }\frac{p}{100}\times N \\ \\ n=\frac{8}{100}\times14 \\ n=0.08\times14 \\ n=1.12^{th} \\ n=2^{nd} \\ \end{gathered}[/tex]Therefore, the 8th percentile is 21
This means that approximately 8% of the data lies below 21 when the data are ranked
Part B
74th percentile
N= 14
[tex]\begin{gathered} n=\text{ }\frac{p}{100}\times N \\ \\ n=\text{ }\frac{74}{100}\times14 \\ \\ n=0.74\times14 \\ n=10.36 \\ n=11^{th} \\ \end{gathered}[/tex]Therefore, the 74th percentile is 79
This means that approximately 74% of the data lies below 79 when the data are ranked
How do I figure out "m" in y=mx for these?
Answers
Given: Equation of a line
[tex]y=\frac{2}{7}x[/tex]Required: To find the value of the slope, m.
Explanation: The general equation of a line is
[tex]y=mx+c[/tex]Now to find the value of m, we will compare the given equation of the line with the general equation of the line. As in the general equation of the line, the coefficient of x is m. Hence in the given equation of the line also, the coefficient of x will be the value of m.
Comparing the equations, the value of m is 2/7.
Final Answer:
[tex]m=\frac{2}{7}[/tex]Elias is 6 years older than Marcos. Together they are 42 years old. Let e repr equations represents this situation? m = e + 6 e + m = 42 O e = m - 6 e + m = 42 O e = m + 6 e + m = 42
Answers
Elias is 6 years older than Marcos
This can be interpreted as: e = m + 6
Together they are 42 years old
This can be interpreted as: e + m = 42
The answer is
e = m + 6
e + m = 42
Solving the equations, we have
e = m + 6
e + m = 42
Substitute e = m + 6 into the second equation
m + 6 + m = 42
2m + 6 = 42
2m=42-6
2m = 36
m=36/2
m=18
Substitute m = 18 into the first equation
e = m + 6
e = 18 + 6
e = 24
A group fitness gym classifies its fitness class attendees by class type and member status. The marketing team has gather data from a random month in which there were 2081 class attendees the data is summarized in the table belowWhat is the probability that a class attendee is a member of the gym and is attending a Boot Camp class or non-member of the gym and is attending a yoga class enter a fraction or round your answer to four decimal places if necessary
Answers
Explanation:
The total number of people on the table is given below as
[tex]=2081[/tex]Step 1:
The probability that a class attendee is a member of the gym and is attending a Boot Camp class is given below as
[tex]Pr(mb)=\frac{160}{2081}[/tex]Step 2:
The probability of non-member of the gym and is attending a yoga class
[tex]Pr(ny)=\frac{287}{2081}[/tex]Hence,
The probability that a class attendee is a member of the gym and is attending a Boot Camp class or non-member of the gym and is attending a yoga class will be
[tex]\begin{gathered} Pr(mb)=\frac{160}{2081} \\ Pr(ny)=\frac{287}{2,081} \\ Pr(mb)+Pr(ny)=\frac{160}{2081}+\frac{287}{2081}=\frac{447}{2081} \\ =0.2148 \end{gathered}[/tex]Hence,
The final answer is
[tex]\Rightarrow0.2148[/tex]Convert each degree measure to radian measure Question in image In need of help on parts 1,2,4,5,6,7,9,&10
Answers
To find:
Convert each degree measure to radian measure.
Solution:
It is known that to convert a degree measure to radian measure, we have to multiply the value by pi/180. So, the answers are as follows:
[tex]0^0=0\times\frac{\pi}{180}=0\text{ radians}[/tex][tex]180^0=180\times\frac{\pi}{180}=\pi\text{ radians}[/tex][tex]-540^0=-540\times\frac{\pi}{180}=-3\pi\text{ radians}[/tex][tex]\begin{gathered} 390^0=390\times\frac{\pi}{180}=\frac{13}{6}\pi\text{ radians} \\ 270^0=270\times\frac{\pi}{180}=\frac{3}{2}\pi\text{ radians} \\ 90^0=90\times\frac{\pi}{180}=\frac{\pi}{2}\text{ radians} \\ -60^0=-60\times\frac{\pi}{180}=-\frac{\pi}{3} \\ -540^0=-540\times\frac{\pi}{180}=-3\pi\text{ radians} \\ 600^0=600\times\frac{\pi}{180}=\frac{10}{3}\pi\text{ radians} \\ 300^0=300\times\frac{\pi}{180}=\frac{5}{3}\pi\text{ radians} \end{gathered}[/tex]Michael recorded the number of points his team scores for the first seven basketball games 64 5860 5256 62-54 which box plot correctly represents the data
Answers
The correct option is fourth option
Explanations:
From the data, re-arranging in ascending order, the median of the data is 58.
The upper quartile is 62, while the lower quartile is 54
From the options, only the 4th options represent a box plot of median 58, upper quartile of 62 and lower quartile of 54. This makes it the correct option
Find the complete factored form of the polynomial:14m^5 + 2m^4
Answers
Polynomial:
[tex]14m^5+2m^4[/tex]Factored form:
[tex]2m^4\times(7m+1)[/tex]Find possible values of a and b that make the statement true.
Answers
(a, b) = (-4, -1)
Explanation:Given that:
[tex]\int_a^cf(x)dx=\int_a^bf(x)dx+\int_b^cf(x)dx[/tex]We have:
[tex]\begin{gathered} \int_{-4}^7f(x)dx=\int_{-1}^7f(x)dx+\int_a^bf(x)dx \\ \\ \int_{-4}^7f(x)dx=\int_{-1}^7f(x)dx+\int_{-4}^{-1}f(x)dx \end{gathered}[/tex]Therefore, we say a = -4, b = -1
Problem Vanessa traveled 300 miles on 15 gallons of gasoline. At this rate, how many gallons of gasoline would she need to travel 500 miles
Answers
The number of gallons can be determined as,
[tex]\frac{15}{300}\times500=25[/tex]Thus, the number of gallons is 25.
For each table determine whether it shows x and y are proportional
Answers
To obtain the relationship between x and y, the following steps are advised:
Step 1: Starting with the values in table 1, divide the values of y by the corresponding values of x, as follows:
[tex]\begin{gathered} when\text{ x=}6,\text{ y=24, } \\ \Rightarrow\text{thus: }\frac{y}{x}=\frac{24}{6}=4 \\ when\text{ x=8},\text{ y=40, } \\ \Rightarrow\text{thus: }\frac{y}{x}=\frac{40}{8}=5 \\ when\text{ x=10},\text{ y=60, } \\ \Rightarrow\text{thus: }\frac{y}{x}=\frac{60}{10}=6 \end{gathered}[/tex]Since the value of the ratio of y to x is not constant (ranging from 4, to 5, and to 6), it means that x and y are NOT proportional.
Therefore, for Table 1, x and y are NOT proportional
Step 2: Proceeding with the values in table 2, divide the values of y by the corresponding values of x, as follows:
[tex]\begin{gathered} when\text{ x=}6,\text{ y=18, } \\ \Rightarrow\text{thus: }\frac{y}{x}=\frac{18}{6}=3 \\ when\text{ x=9},\text{ y=27, } \\ \Rightarrow\text{thus: }\frac{y}{x}=\frac{27}{9}=3 \\ when\text{ x=12},\text{ y=36, } \\ \Rightarrow\text{thus: }\frac{y}{x}=\frac{36}{12}=3 \end{gathered}[/tex]Since the value of the ratio of y to x is constant ( 3, all through), it means that x and y are proportional.
Therefore, for Table 2, x and y are proportional
Thus: y is 3 times x, for table 2
"the guidelines of the section" this means to graph and then state where the inflection points, critical points, concave up and down points, etc are#36
Answers
Given:
The function
[tex]f(x)=ln(x^2+1)[/tex]Required:
State where the inflection points, critical points, concave up and down points.
Explanation:
Inflection points are points where the function changes concavity, i.e. from being "concave up" to being "concave down" or vice versa.
A graph is said to be concave up at a point if the tangent line to the graph at that point lies below the graph in the vicinity of the point and concave down at a point if the tangent line lies above the graph in the vicinity of the point.
A critical point is a point in the domain of the function where the function is either not differentiable or the derivative is equal to zero.
The graph is
Now,
[tex]\begin{gathered} \text{ Inflection points }=(-1,ln2),(1,ln2) \\ \text{ Critical points }=(0,0) \\ \text{ Concave upward on }(-1,1) \\ \text{ Concave downward on }(-\infty,-1)\cup(1,\infty) \end{gathered}[/tex]Answer:
answered the question.