Answer:
y=-x+2
Step-by-step explanation:
y+x-x=2+x
y=-x+2
Which of the following rational functions is graphed below?
Considering the asymptotes, the rational function given below is the following:
B. [tex]f(x) = \frac{1}{x(x + 2)}[/tex]
What are the asymptotes of a function f(x)?The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator.The horizontal asymptote is the value of f(x) as x goes to infinity, as long as this value is different of infinity.From the graph, the vertical asymptotes are x = 0 and x = -2, hence the denominator is given by:
x(x + 2).
The function has no x-intercepts, hence the numerator is of 1. So the function is given by:
B. [tex]f(x) = \frac{1}{x(x + 2)}[/tex]
More can be learned about asymptotes at https://brainly.com/question/16948935
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The number m of miles a long-distance cyclist travels during today's ride can be modeled by the function m(t)=11t+55, where t represents the number of hours since a noon rest stop.
b. Interpret the slope and y-intercept
c. The cyclist can only ride until 6:00 PM. Identify the domain and range of the function.
Step-by-step explanation:
m(t) = 11t + 55
the slope is always the factor of the variable, so here the slope is 11.
since t is the number of hours riding (after the noon rest stop), the slope (11) is actually the mean speed the rider is going (after the noon rest stop) : with every hour riding the cyclist goes another 11 miles, so this speed is 11 mph.
the y-intercept is the m value when t = 0, because here in our example y (the result variable) is renamed m.
it is here 55.
t = 0 means no time riding yet, so 55 is the "starting value" of the function. that means that the cyclist traveled already 55 miles earlier that day before the noon rest stop.
the cyclist can only ride until 6pm. but we don't know how long the noon rest stop is (i.e. when he continues riding after the rest stop).
so I need to make some assumptions :
the mean speed (11 mph) after lunch break, and the y-intercept (55) suggest to me that the cyclist was riding 5 hours before the stop (5×11 = 55), and will also ride 5 hours after the stop (= from 1pm to 6pm).
if this is wrong, and the cyclist starts at e.g. 12pm, then please just adjust the following numbers accordingly.
but here again, I am assuming the cyclist will go from 1pm to 6pm (for 5 hours).
the domain is the interval or set of all valid values of the input variable (here t) : all real numbers in [0 .. 5].
the "timer" starts at 0 right at the end of the noon test stop. and then the cyclist can go max. 5 hours. and I assume any part of an hour is valid, so we use real numbers instead of e.g. whole numbers.
the range is the interval or set of all valid values of the result variable (here m) : all real numbers in [55 .. 110].
for t = 0 we have m = 55. and this goes continuously up with t until t = 5, leading to 11×5 + 55 = 55+55 = 110.
function g is represented by th table.
x -1 0 1 2 3
g(x) 15 3 0 -¾ -15/16
Which statement correctly compares the two functions?
А.They have the same x- and y-intercepts.
B.They have different x- and y-intercepts but the same end behavior as x approaches infinity.
C.They have the same y-intercept and the same end behavior as x approaches infinity.
D.They have the same x-intercept but different end behavior as x approaches infinity
Answer:
D. They have the same x-intercept but different end behavior as x approaches infinity
Step-by-step explanation:
A careful comparison reveals the g(x) values in the table are 1/2 the y-values in the graph. The x-intercepts are the same, but the y-intercepts and end behavior are different.
Domain and Range of {(0,2), (2,4), (-1,1)}
Pam and Erin are both planting gardens for their backyards. They want their gardens to be proportional. If pams garden has a length of 16 feet and a width of 12 feet, what length does Erin need if the width of her garden is 21 feet?
Step-by-step explanation:
Pam and Erin want the gardens to be proportional.
proprtional- equal
Pams garden has a length of 16 and width of 12. To find the area of Pam's garden multiply the length by the width.
16×12= 192
Now that we know the area of Pam's garden, we can set up and equation for Erin's garden. Since they have to be equal we know that Erin's garden should equal 192. Thus we solve for the length by dividing the width from the total.
192÷21=9.14
Plz help brainiest to the correct answer!
[tex]\\ \sf{:}\dashrightarrow \dfrac{1}{4}(-12)=-3[/tex]
#b
[tex]\\ \sf{:}\dashrightarrow \dfrac{-1}{3}(39)=-13[/tex]
#c
[tex]\\ \sf{:}\dashrightarrow -4/5(-75)=-4(-15)=60[/tex]
#d
[tex]\\ \sf{:}\dashrightarrow (-2/5)(-3/4)=6/20=3/10[/tex]
#e
[tex]\\ \sf{:}\dashrightarrow 8/3(-42)=-14(8)=-112[/tex]
Gabrielle's age is two times Mikhail's age. The sum of their ages is 54. What is Mikhail's age?
With a headwind a plane traveled 128 km in 2h. The return trip with a tail wind took 24 min less. Find the air speed of the plane.
WILL GIVE BRAINLY TO FIRST ANSWER
Based on the information given, it can be noted that the air speed that the plane has will be 71.1 km per hour.
The number of hours used for the return trip will be:
= 2 hours - 24 minutes.
= 1 hour 36 minutes.
= 1.6 hours.
Therefore, the speed of the air plane will be:
= (128 + 128) / (2 + 1.6)
= 256/3.6.
= 71.1 km per hour.
Learn more about speed on:
https://brainly.com/question/25860159
Help for points please!
Answer:
A) 0
Step-by-step explanation:
15/21 simplifies to 5/7. 5/7-5/7 (itself) is 0.
Answer:
0
Step-by-step explanation:
= [tex]\frac{5}{7}-\frac{5}{7}[/tex]
= [tex]\frac{5-5}{7}[/tex]
= [tex]\frac{0}{7}[/tex]
= [tex]0[/tex]
Area codes are the first three digits of a 10-digit telephone number. The first digit of an area code cannot be 0 or 1.
a. How many area codes can be created if digits are allowed to be repeated?
b. How many area codes can be created if digits are not allowed to be repeated?
Answer:A
Step-by-step explanation:because the numbers can be allowed to be repeated
find the equation to this line.
i need help on this assignment
Evaluate 4(2a – b) when a = –1 and b = 5.
–48
–28
–12
32
Hey There!
Question:-[tex]\sf \longmapsto \: 4(2a - b)[/tex]
This is a algebraic expression. The values of a and b are given. The values are as follows :-
a = -1
And,
b = +5 .
Solution:-[tex]\sf \longmapsto4(2a - b)[/tex]
Note that a is multiplied with 2 that is :-
[tex]\sf \longmapsto4(2 \times a \: - b)[/tex]
Now, Insert the values that is a = -1 and b = 5 :-
[tex]\sf \longmapsto4(2 \times - 1 - 5)[/tex]
Here,we need to follow BODMAS Rule.
B = Brackets
O = Orders
D = Division
M = Multiplication
A = Addition
S = Subtraction
We need to solve the bracket's calculations first as it is the rule.
So, Firstly Multiply (2 × -1) :-
[tex]\sf \longmapsto4( - 2 - 5)[/tex]
Note that, (-) × (-) equals to (+).
So, it will be 5+2,But as 5 is bigger number than 2, 5 contains a minus sign.So the result will be -7.
[tex]\sf \longmapsto4( 5+ 2)[/tex]
On Simplification:-
[tex]\sf \longmapsto4( - 7)[/tex]
[tex]\sf \longmapsto4 \times (- 7)[/tex]
[tex]\sf \longmapsto \: - 28[/tex]
______________________________________
Henceforth the solution of the algebraic expression is :-
[tex] \bf \:- 28[/tex]
Option B is correct!
______________________________________
I hope this helps!
Please let me know if you have any questions.
~MisterBrian
The box of cereal used to contain 16 ounces of cereal. The box now holds 12 ounces of cereal what is the percent decrease?
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3283b6a.jpeg
Find the area of the shape shown below.
Answer:
28 units.
Step-by-step explanation:
Area of square + Area of triangle + Area of rectangle = Area of figure shown
=> (4 x 4) + (1/2 x 4 x 2) + (2 x 4) = Area of figure shown
=> 16 + 4 + 8 = Area of figure shown
=> 28 = Area of figure shown
Therefore, the area of the figure is 28 units.
Hoped this helped.
Answer:
28 units.
Step-by-step explanation:
Act like the shape is just a normal rectangle, because thats easy to do. If it was a full rectangle the length would be 8 and the width would be 4. The formula for finding area of a rectangle is length times width so 8x4 is 32. Now, to find the actual area of the shape, you have to subtract a bit. (I'll add a picture to better explain what I am meaning) You imagine see a mini rectange in the corner with a length of 4 and a width of 2. The area for that is 8. But, only half of that imaginary rectangle is in the actual shape so subtract half of that shape (4) from the original 32 and you get 28. The area is 28 units.
pls help pls no links?
[tex]\dfrac{3^{15}}{3^3} = 3^{15 -3} = 3^{12}[/tex]
I need the answers and explanation to a b c and d
Answer:
a) 4x -3y ≥ -24
b) 2x +3y ≥ -12
c) 4x -3y ≤ 12
d) 2x +3y ≤ 24
Step-by-step explanation:
All of the given points are on the axes, so it is useful to know the intercept form of the equation for a line is ...
x/a +y/b = 1 . . . . . . where a is the x-intercept and b is the y-intercept.
a)The boundary line for the first side is ...
x/-6 +y/8 = 1
4x -3y = -24 . . . . . . multiply by -24 to put in standard form
The graph shows the quadrilateral is to the right of this line, so its inequality is ...
4x -3y ≥ -24
__
b)The boundary line for side 2 has equation ...
x/-6 +y/-4 = 1
2x +3y = -12 . . . . . multiply by -12
The quadrilateral is to the right of this line, as well, so its inequality is ...
2x +3y ≥ -12
__
c)We can see from the graph that the x-intercept of the boundary line for side 3 is x=3. The equation for that boundary line is ...
x/3 +y/-4 = 1
4x -3y = 12
The quadrilateral is to the left of this line, so its inequality is ...
4x -3y ≤ 12
__
d)Apparently, side 4 is intended to use points already given. We assume it passes through (6, 4) and (0, 8). This boundary is parallel to side 2, so will have the same equation, but with a different constant.
2x +3y = 2(0) +3(8) = 24
The quadrilateral is to the left of this line, so its inequality is ...
2x +3y ≤ 24
__
The second attachment shows a graph of the four inequalities with their shading.
_____
Additional comment
All of the inequalities are written in standard form, so the x-coefficient is positive for all of them. The direction of the inequality symbol can be chosen to select values of x that are greater than or less than those on the boundary line. If the shading is to be to the right, then larger x-values are required, and the inequality will have the form ax + by ≥ c (a > 0). If shading is to the left, then smaller x-values are required, and the inequality symbol points in the other direction.
The figure is a parallelogram, not a rectangle.
PROVE: BD is congruent to BE. Provide steps and reasons.
Answer:
It is congruent
Step-by-step explanation:
Because AB and BC are congruent, having DE bisect them
directly in the middle creates equal lines of BD and BE.
g(x) = 3x + 1; Find g(7)
Answer:
22
Step-by-step explanation:
g(x) = 3x + 1
g(7) = 3(7) + 1
= 21 + 1
= 22
hope this helps! :D
have a miraculous day!! <3
help asap please ill give brainliest
13=2m+5
m = ?
help me pls
Answer:
m=4
Step-by-step explanation:
Answer:
The answer would be 4. It may seem like a lot of steps but its a lot easier then you think haha
Step-by-step explanation:
13-5 = 2m + 5 - 5 (Subtract 5 from both sides of the equation)
8 = 2m (Simplify)
8/2 = 2m/2 ( Divide both sides of the equation by the same term)
m= 4 (Solution)
Tutorial
At a T-shirt stand on the boardwalk, 5 of the last 15 shirts sold were gray. Considering this
data, how many of the next 12 shirts sold would you expect to be gray?
shirts
Kylie Jenner's gym membership
costs $150 to sign up and
then charges $3 for each visit.
Kanye West's gym membership costs $130
to sign up and
then charges $5 for each visit.
At how many visits
will they have spent
the same amount of money?
Answer:
The answer to this is 10 visits.
Step-by-step explanation: For this algebra, take a guess at first, and then you should be able to find an answer from there. All you have to do mathematically, is calculate (using the two starting values), when the prices are the same. For this, the equation would look something like: 5x + 130 and 3x + 150. X represents the unknown number of visits. When x is = 10, the prices are the same, 180 = 180. Edit: Another way you can do this, is graph a line of the two equations, and see what point they intercept. The X value of the point usually is the number of times something occurs until the price is the same, whereas the y value of the point is usually the price.
how are ∠1 and ∠2 related
A. They are supplementary
B. They are complementary
C. They are Vertical
D. They are adjacent
Answer:
D. They are adjacentStep-by-step explanation:
Angles 1 and 2 have common side, so they are adjacent. They are not making a right or straight angle.
Correct choice is D
All of these statements are true EXCEPT which one?
A.
Answer:
Optio a is rhe right one
i m not sure
Answer:
where's the choices
Step-by-step explanation:
complete your question
in 2020 the attendance at kennedy school's spring festival was 210. in 2021 the attendance was 168. What was tge percent change in the attendance from 2020 to 2022 tound to nearest whole percent
Step-by-step explanation:
Total change in number of student = (210 - 168)
=> 42
% change = Change/Original no. of students × 100
=> 42/210 × 100
=> 42/21 × 10
=> 20%
a bag contains colored tils 3 tiles are red 6 tiles are green 3 tiles are blue a tile will be randomly selected from the bag what is the probabillities in decimal from that the tile selected will regreate
Answer:
By:Parrain
Step-by-step explanation:
The probability that the selected tile will be green is 0.5.
The probability that a tile will be green can be calculated by the formula:
= Number of green tiles / Total number of tiles
Total number of tiles is:
= 3 + 6 + 3
= 12 tiles
Probability of picking green tile is therefore:
= 6 / 12
= 50%
= 0.50
The probability of picking a green tile is 0.50
The two triangle shown below are similar triangles.
What is the value of d in meters?
Percentage of words starting with T
Another one for you guys
Answer:
50 miles
Step-by-step explanation:
when you match 5 on the side for practice on the x axis, it matches to 50 miles on the y axis
