Answers
Step-by-step explanation:
Here are some of the graphs:
Blue is g(x) and Green is f(x). The 2nd graph is for the 13b. It shows our graph after 1 transformation. The 3rd graph is after both transformations.
13a. Let use the following values in
[tex]f(x) = \frac{2}{x} [/tex]
We know by definition of rational function x cannot be zero.
Let find some values across interval 2 through 4.
[tex]f(2) = \frac{2}{2} = 1[/tex]
[tex]f(3) = \frac{2}{3} [/tex]
[tex]f(4) = \frac{2}{4} = \frac{1}{2} [/tex]
Let use the following values in
[tex]g(x) = \frac{3x - 1}{x - 1} [/tex]
By definition of rational function, x cannot be 1 because it will make the denominator zero. Let use some values across the interval 0 through 4.
[tex]g(0) = \frac{0 - 1}{0 - 1} = 1[/tex]
[tex]g(2) = \frac{3(2) - 1}{2 - 1} = {5} [/tex]
[tex]g(3) = \frac{8}{2} = 4[/tex]
[tex]g(4) = \frac{11}{3} [/tex]
So graph this in a table of values. I'll post a picture of the table of values on the top.
13b. We need to write g(x) as a transformation of f(x). If we look at the graphs, g(x) has a asymptote at x=1 while f(x) has a asymptote of 0. This means that we need to move f(x) to the right one unit or move (x-1) units.
We will upgrade the graph.
Now we can just add 3 to f(x) to get to g(x).
In the 3rd graph, notice how both graphs coincide. Our transformations is complete.
The answer is
[tex]g(x) = f(x - 1) + 3[/tex]
13c. We can say this as we move f(x) to the right 1 unit and shift f(x) up 3 units.
Related Questions
What is the reciprocal of 0.025 (not -0.025)
Answers
Answer:
1000/25 or 40
Step-by-step explanation:
~ A reciprocal is the fraction's reverse
For example 2/3=3/2
.025 is also 25/1000
The reverse of 25/1000 is 1000/25
Simplified into 40 wholes
1000/25 is the reciprocal of 0.025
What is Fraction?A fraction represents a part of a whole.
Given,
Decimal value is 0.025
Zero point zero two five.
Firstly let us convert this to the fraction form.
When twenty five is divided by thousand we get 0.025
25/1000=0.025
So the fraction is 25/1000.
Now we need to find the reciprocal of fraction 25/1000.
Reciprocal means the numerator changes to denominator and denominator changes to numerator.
So 25/1000 reciprocal is 1000/25
Hence, 1000/25 is the reciprocal of 0.025
To learn more on Fractions click:
https://brainly.com/question/10354322
#SPJ2
Instructions: Determine whether the following polygons are
similar. If yes, type in the similarity statement and scale factor. If
no, type 'None' in the blanks.
Answers
Answer:
No they aren't similar different measurements but same angle so they can't be said to be similar
802.4 divided 1.7
Thankkkk u
Answers
The answer to this equation is 472.
Answer:
472
Step-by-step explanation:
First we make both numbers into wholes by moving the decimal point one place behind.Then divide normally.
8024 ÷ 17 = 472
I hope this helps :)
Consider the line 9x + 8y = -8.
What is the slope of a line perpendicular to this line?
What is the slope of a line parallel to this line?
Answers
Answer:
Step-by-step explanation:
The slope of the line is -9/8. The slope of any parallel to the line is also -9/8.
Is the rate of change of the function 5?
Answers
Which phrase describes the linear relationship between the values of x and y shown in the table?
x l y
-3 l 9
0 l 0
3 l -9
A. y is 3 times x
B. x is 6 more than y
C. y is 12 more than x
D. y is -3 times x
Answers
Answer:
The answer is D. Y is -3 times x
The phrase which describes the linear relationship between the values of x and y is y is -3 times x.
What is linear relationship between two variables?
A linear relationship is any relationship between two variables that creates a line when graphed in the x y -plane.
According to the given question.
We have a linear relationship between x and y.
From the first we can see that
When,
x = -3 and y = 9
⇒ y = -3x = -3 × (-3) = 9
when,
x = 0, and y = 0
⇒ y = -3x = -3 × 0 = 0
when,
x = 3, and y = -9
⇒ y = -3x = -3 × 3 = -9
Hence, this shows that y is -3 times x.
Thus, option D is correct.
Find out more information about linear relationship between two variables here:
https://brainly.com/question/15262646
#SPJ2
Company A charges a $125 annual fee plus $7 per hour car share fee.
Company B charges $110 plus $10 per hour. What is the minimum number of
hours that a car share needs to be used per year to make company A a better
deal?
A. 6
O Ο Ο
B. 5
C. 9
D. 11
SUBMIT
PREVIOUS
Answers
Answer:
6 hours
Step-by-step explanation:
A: y=125+7x
B: y=110+10x
for A to be a better deal than B, 125+7x<110+10x has to be true
subtract 7x from both sides and subtract 110 from both sides of the inequality: 15<3xdivide by 3: 5<xso x has to be greater than 5, im pretty sure it's 6 hours but it might also be 5 depending on how it's taught for youAnswer:
B 5
Step-by-step explanation:
Company A
total cost = 125+7h where h is the number of hours
Company B
total cost = 110 + 10h where h is the number of hours
125 + 7h < 110 + 10h
Subtract 7 h from each side
125 + 7h-7h<110+10h-7h
125 < 110+3h
Subtract 110 from each side
125-110< 110+3h
15 <3h
Divide by 3
15/3 <3h/3
5 <h
More than 5 hours
Find the value of x. Round to the nearest tenth.
Answers
Answer:
1.6 ft
Step-by-step explanation:
If you use the Pythagorean Theorem to solve for x, you get:
[tex]x=\sqrt{2.1^2-1.4^2}[/tex]
[tex]x=\sqrt{2.45} = 1.56524758425[/tex]
Rounded to the nearest tenth, the answer is 1.6
Finding Perimeter Practice Pages continued Name: 3 A rectangular garden has a width of 90 feet. The perimeter is 500 feet. What is the length of the garden? 500 = (2x) + .......... .........) 500 = 2€ + = 20 = 2 = = € The length of the garden is ................. feet. inchor lona Tell w
Answers
Step-by-step explanation:
After putting the values:-
Kim just turned 10 years old her mother is four times older than Kim how old is Kims mother
Answers
Answer:
40 years old
Step-by-step explanation:
What are the ratio of 1:6 and 3:8, 2:14and 3:42
Answers
The ratio of 1:6 is 1/6
The ratio of 3:8 is 3/8
The ratio of 2:14 is 1/7
The ratio of 3:42 is 1/14
Please mark brainliest if that helped!
Find the sum of the geometric sequence.
1, 1/2, 1/4, 1/8, 1/16.
Answers
Answer:
2
Step-by-step explanation:
a1= 1
r= a2/a1
r= (1/2)/1
r=0.5
s= a1/1-r
s= 1/1-0.5
s=2
Which of the following graphs is the inverse of f(x) = x2 + 4?
Answers
Answer:
Step-by-step explanation:
The area of a triangle is 24 square inches. What is the height of the triangle if the base length is 4 inches?
6 inches
8 inches
12 inches
20 inches
Answers
Answer:
[tex]\boxed {\boxed { \sf 12 \ inches}}[/tex]
Step-by-step explanation:
The area of a triangle can be calculated using the following formula.
[tex]a=\frac{1}{2} bh[/tex]
The area of the triangle is 24 square inches and the base is 4 inches long.
a= 24 in² b= 4 inSubstitute the values into the formula.
[tex]24 \ in^2 = \frac {1}{2} * 4 \ in * h[/tex]
Multiply on the right side of the equation.
[tex]24 \ in ^2 = ( \frac{1}{2} * 4 \ in ) * h[/tex]
[tex]24 \ in ^2 =2 \ in *h[/tex]
We are solving for the height of the triangle, so we must isolate the variable h. It is being multiplied by 2 inches. The inverse of multiplication is division, so we divide both sides by 2 inches.
[tex]\frac { 24 \ in ^2 }{2 \ in }= \frac{ 2 \ in *h}{ 2 \ in}[/tex]
[tex]\frac { 24 \ in ^2 }{2 \ in }= h[/tex]
[tex]12 \ in = h[/tex]
The height of the triangle is 12 inches.
Using the graph as your guide, complete the following statement.
The discriminant of the function is ___
A. positive
B. zero
C. negative
Answers
in a fruit punch drink,the 3 ingredients are apple juice,orange juice and cramberry juice.if 3/4 of the drink is apple juice and 1/10 is orange juice then write the ratio of cranberry juice to apple juice to orange juice in its simplest form
Answers
Answer:
3 : 15 : 2
Step-by-step explanation:
Let cranberry juice = x,
3/4 + 1/10 + x = 1
x = 3/20
Ratio = cranberry : apple : orange
= 3/20 : 3/4 : 1/10
= 3 : 15 : 2 (Times everything with 20)
What I got to do please
Answers
Answer:
4
Step-by-step explanation:
[tex]3 \div \frac{3}{4} \\ = \frac{3}{1} \div \frac{3}{4} \\ = \frac{3}{1} \times \frac{4}{3} \\ = \frac{12}{3} \\ = \frac{4}{1} \\ = 4[/tex]
Answer:
4
Step-by-step explanation:
3÷3/4
3*4/3
12/3
4
Help!! Please photo art attached below
Answers
Answer:
C
Step-by-step explanation:
180 degrees + 30 =210 degrees
210 degrees equals 7π/6
the area of a rectangular park is 7/8 sqaure mile. the length of the park is 3/4 mile. what is the width of the park?
Answers
Answer:
7/6
Step-by-step explanation:
since the formula of area is length times width,you have to divide the area by the length to find the width
area=length×width
the width will be
width=area÷length
=7/8÷3/4
7/8×4/3
7/2×1/3
7/6
that's the width you can prove it by multiplying the length times the width to see if you will get 7/8..
I hope this helps
Three times the sum of a number and eight is four more than the number. find the number
Answers
Answer:
3(x+8)=4+x
distribute the 3 by multiplying it with the x and the 8
3x+24=4+x
subtract x from both sides
2x+24=4
subtract 24 from both sides
2x=4-24
2x=-20
divide each side by 2
leaving the variable isolated
x=-10
Step-by-step explanation:
It is important to balance each side by doing the same to both sides such as at the end divide both sides by 2.
The unknown number will be equal to 10.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that three times, the sum of a number and eight is four more than the number.
The equation will be written as,
3(x+8)=4+x
Distribute the 3 by multiplying it with the x and the 8,
3x+24=4+x
Subtract x from both sides,
2x+24=4
Subtract 24 from both sides,
2x=4-24
2x=-20
Divide each side by 2.
x=-10
Therefore, the unknown number will be equal to 10.
To know more about an expression follow
https://brainly.com/question/25968875
#SPJ2
help fast pleasee
find the unit rate for Dion and Emily who read faster?
Dion: 36 pages in 3 days
emily: 45 pages in 5 days
36 pages
__________= ? pages per day.
3 days
45 pages
_________=? pages per day.
5 days
deon read _____ pages per day than emily.
Answers
Step-by-step explanation:
36 pages in 3 days, 36/3=12 pages per day.
45 pages in 5 days, 45/5=9 pages per day.
Difference is 3 pages per day
Answer:
Deon read 3 more pages per day than Emily.
Alice, Bob, and Carol play a chess tournament. The first game is played between Alice and Bob. The player who sits out a given game plays next the winner of that game. The tournament ends when some player wins two successive games. Let a tournament history be the list of game winners, so for example ACBAA corresponds to the tournament where Alice won games 1, 4, and 5, Caroll won game 2, and Bob won game 3.
Required:
a. Provide a tree-based sequential description of a sample space where the outcomes are the possible tournament histories.
b. We are told that every possible tournament history that consists of k games has probability 1/2k, and that a tournament history consisting of an infinite number of games has zero prob- ability. Demonstrate that this assignment of probabilities defines a legitimate probability law.
c. Assuming the probability law from part (b) to be correct, find the probability that the tournament lasts no more than 5 games, and the probability for each of Alice, Bob, and Caroll winning the tournament.
Answers
Answer:
I don't know what you think about it is not going to be a great day of school and I don't know what you think about it is not going to be a great day of school
Vertical plane R intersects horizontal plane P. Points D, and B are on the line of the intersecting planes. Point F is on the top half of plane R. Point G is on the bottom half of plane G. Point C is on the left half of plane P. Point E is on the right side of plane P. There is a line formed between points C and E. Point H to above and to the right of the planes. Point L is below and to the left of the planes.
The intersection of plane R and plane P is
.
Point
is not on plane P.
Line C E and Line D B intersect at point
.
Answers
Answer:
The intersection of plane R and plane P is line DB
Point H is not on plane P.
CE and DB intersect at point D
Explanation:
got it right on edge 2021 :)
Answer:
there right^
Step-by-step explanation:
edge 22
For the function y=f(x), find f’(a)
Answers
Answer:
-1/4
Step-by-step explanation:
f(x) = 1/(x+1)
f(a) = 1/(a+1)
f'(a) = {(a+1)×d/da (1) - d/da (a+1) × 1}/(a+1)²
f'(a) = {(a+1)×0 - 1×1}/(a+1)²
f'(a) = (0-1)/(a²+2a+1)
f'(a) = -1/(1+2a+a²)
putting a = 1
f'(a) = -1/(1+2+1)
f'(a) = -1/4
4) (20 pts) A box contains 5 apples and 6 oranges. Four children each receive a fruit from the box, one after the other, randomly chosen, without replacement. What is the probability that all four children receive the same fruit
Answers
Answer:
Probability of an event = Number of outcomes favourable to that event/ Number of all possible outcomes.
The set of all possible outcomes is called the sample space and is denoted by S.
Any 3 fruits out of 11 in the box can be randomly selected in 11C3= (11x10 x 9)/(1 x 2x3) = 165 ways. Hence n(S) = 165.
We want the desired event E that the 1 fruit of each type is chosen. Now 1 apple out of 5 can be chosen in 5C1 = 5 ways, 1 out of 4 oranges in 4C1 = 4 and 1 banana out of 2 in 2C1 = 2 ways. Therefore, by fundamental counting principle, one of each type of fruit can be chosen in 5x4x2 = 40 ways So n(E) = 40.
Hence the probability of getting three fruits one of each type is = n(E)/ n(S) = 40/165 = 8/33.
The probability that all four children receive the same fruit is 2/33.
What is Probability?Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.
The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.
The degree to which something is likely to happen is basically what probability means.
Given:
We have 5 apples and 6 oranges.
So, if we choose 4 apples then the probability can be
= 5 /11 x 4/10 x 3/9 x 2/8
= 120/ 7920
and, if we choose 4 oranges then the probability can be
= 6/11 x 5/10 x 4/9 x 3/8
= 360/ 7920
Thus, the combined probability
= 120/7920 + 360/7920
= 480/ 7920
= 2/33
Learn more about Probability here:
https://brainly.com/question/11234923
#SPJ6
A 3-gallon jug of water costs $15.00. What is the price per quart?
Answers
Answer:
1.25 dollars per quart
Step-by-step explanation:
There are 4 quarts per gallon
3 gallons * 4 quarts/ gallon = 12 quarts
15 dollars/ 12 quarts
1.25 dollars per quart
Line A passes through the points (-2, 27) and (1, -9). Line B passes through the points (-1, 15)
and (3,-33).
Which statement is true?
Line A overlaps line B.
Line A does not intersect line B.
Line A intersects line B at exactly one point.
Answers
Answer:
Line A overlaps line B
Step-by-step explanation:
find gradient of both A and B and use it to find the equation of both lines
final answer will reveal that both lines are the same implying that one overlaps the other
If M ABD = 65 and DBC=60 then m ABC=
Answers
Answer:
∠ ABC = 125°
Step-by-step explanation:
∠ ABC = ∠ ABD + ∠DBC that is
∠ ABC = 65° + 60° = 125°
What are all the factors of 618?
Answers
Answer:
1, 2, 3, 6, 103, 206, 309, 618
..............................
Answers
Answer:
[tex]x=17[/tex]
Step-by-step explanation:
[tex](6x+10)(x+17)(4x-34)[/tex]
[tex]6x+10+x+17+4x-34=180[/tex]
Add:- [tex]6x+x+4x=11x[/tex]
and [tex]10+17-34=-7[/tex]
So, [tex]11x-7=180[/tex]
Add 7 to both sides:-
[tex]11x=187[/tex]
Divide both sides by 11:-
[tex]\frac{11x}{11}=\frac{187}{11}[/tex]
[tex]x=17[/tex]
OAmalOHopeO
