Answers
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]
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Related Questions
Which of the following values for x will make relation A shown below a function?
A={(3,5),(4,9),(7,2),(x,6)}
A 3
B 4
C 5
D7
Answers
-5⎜x - 3⎟ - 5 < 15
Pls
Answers
−5(|x−3|)−5<15
Step 1: Add 5 to both sides.
−5(|x−3|)−5+5<15+5
−5(|x−3|)<20
Step 2: Divide both sides by -5.
−5(|x−3|)
−5
<
20
−5
|x−3|>−4
Step 3: Solve Absolute Value.
|x−3|>−4
We know eitherx−3>−4orx−3<−(−4)
x−3>−4(Possibility 1)
x−3+3>−4+3(Add 3 to both sides)
x>−1
x−3<−(−4)(Possibility 2)
x−3<4(Simplify both sides of the inequality)
x−3+3<4+3(Add 3 to both sides)
x<7
Answer:
x>−1 or x<7
Please help fast!!!!
Answers
The table shows the ratio between the number of books ordered and their cost: Number of Books Cost (dollars) 7 21 8 24 9 27 Find equivalent ratios when the number of books ordered is 1, 2, and 3. Write them as ordered pairs in the form (x-coordinate, y-coordinate). Starting from the origin, explain how to plot the three equivalent ratios on a coordinate grid. (10 points)
Answers
Answer:
(1, 3), (2, 6), (3, 9)
Step-by-step explanation:
Dividing the first given ratio by 7 gives ...
7/7 : 21/7 = 1 : 3
Multiplying this by 2 and 3 gives the other ratios you want.
= 2(1) : 2(3) = 2 : 6
= 3(1) : 3(3) = 3 : 9
The equivalent ratios are (1, 3), (2, 6), (3, 9).
-12x - 5y = 40
12x - 11y = 88
Answers
Answer:
(0, -8)
Step-by-step explanation:
hope this helps! :D
have a miraculous day, and brainliest is immensely appreciated!! <3
is Y = 4 x 2 proportional?
Answers
Answer:
no
Step-by-step explanation:
Proportinal relationships follow the equation y = kx k is the constant of proportianality
What point of concurrency in a right triangle is also the midpoint of the hypotenuse?
A. centroid
B. incenter
C. circumcenter
D. orthocenter
Answers
The point of concurrency in a right triangle is also the midpoint of the hypotenuse is its circumcenter .
What is point of concurrency?A point of concurrency is a place where three or more, but at least three lines, rays, segments or planes intersect in one spot. If they do, then those lines are considered concurrent, or the the rays are considered concurrent.
What is Triangle Concurrency Points?There are 4 different points of concurrency in the triangle are:
1. Circumcenter
The circumcenter is the point of concurrency of the perpendicular bisectors of all the sides of a triangle.
For an obtuse-angled triangle, the circumcenter lies outside the triangle.
For a right-angled triangle, the circumcenter lies at the hypotenuse.
2. Incenter
The incenter is the point of concurrency of the angle bisectors of all the interior angles of the triangle.
3. Centroid
The point where three medians of the triangle meet is known as the centroid.
4. Orthocenter
The point where three altitudes of the triangle meet is known as the orthocenter.
For an obtuse-angled triangle, the orthocenter lies outside the triangle.
According to the question
The point of concurrency in a right triangle is also the midpoint of the hypotenuse.
According to the Triangle Concurrency Points
For a right-angled triangle, the circumcenter lies at the midpoint of the hypotenuse.
Hence, The point of concurrency in a right triangle is also the midpoint of the hypotenuse is its circumcenter .
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Which graph or graph shows a proportional relationship
Answers
Answer:
C) Graph A and Graph C
Step-by-step explanation:
A proportional relationship has a constant rate of change and goes through the origin. When graphed, the line should be straight and should go through the origin (0,0) as well.
Graph b does not show a straight line so B does not show a proportional relationship.
Graph D shows a straight line but the line does not go through the origin and therefore is not a proportional relationship.
Graphs A and C both show straight lines that go through the origin meaning that they are both proportional relationship.
Thus, the answer is C) Graph A and Graph C
[tex]\sf -4(-4x-5)[/tex]
Answers
Answer:
[tex] - 4( - 4x - 5) = - 4 \times - 4x - ( - 4) \times ( - 5) \\ = 16x - 20[/tex]
Answer:
[tex]16x+20[/tex]
Step-by-step explanation:
[tex]-4(-4x-5)[/tex]
[tex]\mathrm{Multiply\:}-4\mathrm{\:to\:the\:values\:in\:the\:parenthesis}[/tex]
[tex]-4(-4x-5)[/tex]
[tex]-4\cdot-4=16[/tex]
[tex]-4\cdot-5=20[/tex]
[tex]=16x+20[/tex]
Solve the equation for x if necessary, enter fractions in lowest terms, using a slash (/) as a fraction bar
4x - 1 = 3(x + 1)
x=
Answers
Answer:
Step-by-step explanation:
4x - 1 = 3(x + 1)
4x - 1 = 3x + 3 [remove the parentheses by multiplying each term by 3]
4x = 3x + 4 [add 1 to both sides]
1x = 4 [Subtract 3x from both sides]
x = 4
===
Try it:
4x - 1 = 3(x + 1): ??
4*4 - 1 = 3(4 + 1) ??
15 = 3(5)
15 = 15 yes
Explain how 3/4 ×7, 7×3/4 and 3×7/4 are all related
Answers
Answer:
3/4×7
= 0.75×7
=5.25
7×3/4
=7×0.75
=5.25
3×7/4
=3×1.75
=5.25
all answer is same so, however we do all answer come 5.25
this way they all are related
Write an equation in slope-intercept form of the line that passes through the points (-2.3) and (2.7)
Answers
I'm pretty sure the answer is y=x+5
The final price of a pair of socks is $6.40. It is on sale for 20% off. What is
the original price of the socks?
Answers
Answer: original price= $8
Step-by-step explanation:
Discount = Original Price x Discount %/100
Discount = 8 × 20/100
Discount = 8 x 0.2
You save = $1.60
Final Price = Original Price - Discount
Final Price = 8 - 1.6
Final Price = $6.40
Which numbers is divisible by 5,10 and 15.
A) 15
B) 20
C) 21
D) 34
Answers
Hope you could get an idea from here.
Doubt clarification - use comment section.
Type the missing number in this sequence:
-2,
-50,
-250,
-1,250,
-6,250
Answers
Answer:
the next is -2 × 5 = - 10
Step-by-step explanation:
the sequence is times 5
Paul has thirteen coins in his piggy bank. Some of the coins are quarters, some are nickels, and he has a total of $3.55. Which system of equations can be used to determine how many quarters, x, and how many nickels, y, he has?
A.
x + y = 13
0.25x + 0.5y = 3.55
B.
x + y = 13
0.25x + 0.05y = 3.55
C.
x + y = 13
25x + 5y = 3.55
D.
x + y = 3.55
0.25x + 0.05y = 13
Answers
Answer:
The answer is B
Step-by-step explanation:
you know that x is quarters which is .25 and you know that y is nickels which is .05
there are a total of 13 coins in the bank so x+y = 13
you also know that the 13 coins = 3.55
so plug in all that you know and the problem is
0.25x + 0.05y = 3.55
How many hours is 7:45 to 1:00
Answers
Step-by-step explanation:
There are 17 hours between 7:45 to 1:00
HELP!!!!!
M
list the sides of ABC in order from shortest to longest
Answers
M list the sides of ABC in order from shortest to longest
Answer:Sum of angles in a triangle = 180
Angles A + B + C = 180
80 + 3x + 5 + 5x - 1 = 180
3x + 5x = 180 - 80 - 5+1
8x = 96
x = 96/8
x = 12
So angle A = 80, B = 3x + 5 = 3*12 + 5 = 36 + 5 = 41, C = 5x - 1 = 5*12 - 1 = 60 - 1= 59
Angle A = 80, B = 41, C = 59
So the smallest side is the side facing the smallest angle and the largest side is the side facing the largest angle.
So from the smallest to biggest side:
AC < AB < BC
Arigatou gozaimasu!!
Please help me with this question
Answers
if any doubt leave a comment
What is the missing angle of the triangle 48° 58°
Answers
Answer:
74 degrees
Step-by-step explanation:
Start w/180 degrees. (The total measure of a triangle.) Then subtract 106 (the sum of the 2 known angles) from 180. We then get 74 degrees (The measure of the missing angle)
Henry had beaten 12 levels in a video game. If the ratio of levels he had beaten to not
beaten was 6:1, how many levels does the game have total?
Answers
2 x (6 + 1) = 14
please help me!
ty :)
Answers
Answer:
y-2 = 5(x-3)
Step-by-step explanation:
-
Hope that helps
Profit is defined as earnings less expenses (earnings - expenses). At the local hot-air balloon festival, the Ma & Pops Ice Cream Truck sells ice cream pops, which cost them $0.75 each, but are sold for $2 each. They also paid $50 to the festival's organizers for a vendor permit. The table below shows the earnings, expenses, and profit earned when 50, 75, and 100 ice cream pops were sold at the festival.
Answers
Answer:
Step-by-step explanation:
solve for x 12+6x/3= 5-9/2
Answers
Answer: I hope this helps! :)
x = -3
rearrange terms: 6x+12/3 = 5-9/2subtract the numbers: 6x+12/3 = -4/2eliinate fractions denominators: 3 times 6x+12/3 = 3(-2)simplify fractions: 6x+12/3 = -2eliinate fractions denominators: 3 times 6x+12/3 = 3(-2)multiplt the numbers: 6x + 12 = -6subtract 12 from both sides of the equation: 6x + 12-12 = -6-12simplify: 6x = -18divide both sides of the equation by the same factor: 6x/6 = -18/6x = -3Answer: x=-3
Answer:
[tex]x = -3[/tex]Step-by-step explanation:
[tex]\frac{12 + 6x}{3} = \frac{5 - 9}{2}[/tex]=> [tex]2(12 + 6x) = 3(5 - 9)[/tex]=> [tex]24 + 12x = 15 - 27[/tex]=> [tex]24 + 12x = -12[/tex]=> [tex]24 + 12 = -12x[/tex]=> [tex]36 = -12x[/tex]=> [tex]x = -3[/tex]Conclusion:
Therefore, x = -3
Hoped this helped.
[tex]GeniusUser[/tex]
What is the 2nd equivalent fraction to 5/7
Answers
Hello!
2nd equivalent fraction to is 5/7 is 10/14.
Other equivalent fractions are 15/21, 20/28, 50,70...
I hope this helps,
Have a great day!
Determine what type of model best fits the given situation: A 4% raise in salary each year. A. none of these B. exponential C. linear D. quadratic
Answers
Answer: C. linear
Step-by-step explanation:
Since the raise is going to be a constant amount, a 4% raise, the model will be linear.
Correct me if I am incorrect.
What is 3/10 of 2560
Answers
Answer:
768
3/10 times 2560 simply equals 768 after the calculations are done
If the base of the parallelogram is 8 and the perimeter is 28 then what is the area?
Answers
Answer:
the answer is 28 for the area.
omg please help for brainlist !!!!!!!!!!!!!!!!!!!
Answers
Answer:
f(x) is linear
g(x) is exponential
Step-by-step explanation:
A linear function will always have the same rate of change between equally distant points, while an exponential function will have an increasingly large rate of change between equally distant points.
First, look at f(x). All these points are equally distant at 2 units apart on the x-axis, so they can be directly compared:
[tex](-38)-(-18)=-20\\(-58)-(-38)=-20\\(-78)-(-58)=-20[/tex]
All of these points are the same distance apart on the y, so f(x) must be a linear function.
Now look at g(x). These are also all equally distant at only 1 unit apart.
[tex]30-10=20\\90-30=60\\270-90=180[/tex]
These are very clearly not the same distance apart on the y, so g(x) must be the exponential function.
1) WET SURPRISE A water balloon is launched off of a patio. The path of the water
balloon can be modeled by h(t) = -6t2 + 13t + 5, where h(t) is the balloon's height in feet and t is the time in seconds after the balloon is launched.
a. How long will it take for the balloon to splat on the ground?
Answers
The function of the water balloon is an illustration of a quadratic function.
The balloon will splat on the ground after 2.5 seconds
The function is given as:
[tex]h(t) = -6t^2 + 13t + 5[/tex]
When the balloon splats on the ground, the value of h(t) is 0.
So, we have:
[tex]-6t^2 + 13t + 5 = 0[/tex]
Expand the expression
[tex]-6t^2 + 15t- 2t + 5 = 0[/tex]
Factorize the above expression
[tex]-3t(2t - 5)- 1(2t - 5 )= 0[/tex]
Factor out 2t - 5 in the 2t - 5
[tex](-3t - 1)(2t - 5 )= 0[/tex]
Split the equation into 2
[tex]-3t - 1 = 0\ or\ 2t - 5= 0[/tex]
Rewrite as:
[tex]-3t = 1\ or\ 2t = 5[/tex]
Solve for t
[tex]t = -\frac 13\ or\ t = \frac 52[/tex]
The value of t cannot be less than 0 i.e. negative.
So, we have
[tex]t = \frac 52[/tex]
Divide 5 by 2
[tex]t = 2.5[/tex]
Hence, the balloon will splat on the ground after 2.5 seconds
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