Question 10
The graph below shows a rational function.
10-
5
-
1
2
3
4
5
6
-3
-6
-5
-4
-2
-5
10-
15+
Select the function that represents the graph.
32+5
A y =
2+1
O
0
B
y =
32+5
2+2
22
с
y =
D
y=2-1
Answers
According to it's asymptotes, the function represented by the graph is:
[tex]y = \frac{3x + 5}{x + 1}[/tex]
The vertical asympotes of a function f(x) is the points which are outside the function domain.
In a fraction, they are given by the zeroes of the denominator.In this problem, there is a vertical asymptote at x = -1, which is a zero of the denominator, hence the denominator is x + 1.
The horizontal asymptotes are the values of the function as x goes to infinity.
In this problem, they are given by:
[tex]\lim_{x \rightarrow -\infty} f(x) = -3[/tex]
[tex]\lim_{x \rightarrow \infty} f(x) = 3[/tex]
Hence, the option that satisfies it is:
[tex]y = \frac{3x + 5}{x + 1}[/tex]
To learn more about asymptotes, you can take a look at https://brainly.com/question/16948935.
Related Questions
please explain to me how to solve for x and y
Answers
Answer:
(x, y) = (6, 2)
Step-by-step explanation:
You solve for x and y by writing equations that reflect the relation applicable to the given geometry.
The diagonals of a parallelogram bisect each other. That means the halves of each diagonal are equal.
2x -4 = 4y . . . . . . down diagonal
x +4 = 7y -4 . . . . . up diagonal
__
We can subtract the first equation from 2 times the second equation to eliminate the x-variable.
2(x +4) -(2x -4) = 2(7y -4) -(4y)
2x +8 -2x +4 = 14y -8 -4y . . . . . . eliminate parentheses
12 = 10y -8 . . . . . . . . . . . . . . . . . collect terms
20 = 10y . . . . . . . . . . . . . . . . . . add 8
2 = y . . . . . . . . . . . . . . . . . . . . divide by 10
Substituting into the second equation gives ...
x +4 = 7(2) -4
x = 6 . . . . . . . . . . . . subtract 4
The values of x and y are (x, y) = (6, 2).
_____
The lengths of the diagonals are 20 and 16.
What is 48.5% of 300?
Answers
what is the area of the rectangle.
Answers
Answer:
54 units^2
Step-by-step explanation:
Two jets simultaneously started traveling in opposite directions from the same airport. Four hours later they were 3800 miles apart. Find the rate of each plane if one of them traveled 80 miles per hour faster than the other.
Answers
Step-by-step explanation:
the slower plane traveled x miles in 4 hours.
the faster plane traveled x + 4×80 = x + 320 miles in 4 hours.
so,
x + x + 320 = 3800 miles
2x =3480 miles
x =1740 miles (in 4 hours) .
that means the slower plane's speed was 435 mph.
and the faster plane's speed was 435 + 80 = 515 mph.
write 1+√-32/4 as a complex number in the form a + bi, where a and b are real numbers.
a. 1/4+1/2√2i
b. 1/4+1/4√2i
c. 1/4+√2i
d. 1/4+4√2i
Answers
Work Shown:
[tex]\frac{1+\sqrt{-32}}{4}\\\\\frac{1+\sqrt{-1*16*2}}{4}\\\\\frac{1+\sqrt{-1}*\sqrt{16}*\sqrt{2}}{4}\\\\\frac{1+i*4*\sqrt{2}}{4}\\\\\frac{1+4i*\sqrt{2}}{4}\\\\\frac{1}{4}+\frac{4i*\sqrt{2}}{4}\\\\\boldsymbol{\frac{1}{4}+i\sqrt{2}}\\\\[/tex]
This matches with choice C. The imaginary 'i' term is not under the square root.
What is the equation of g(x)? g(x) = 10x â€"" 3 g(x) = 10x 3 g(x) = 10x â€"" 3 g(x) = 10x 3.
Answers
The equation of g(x) is [tex]\rm g(x) = 10^{x-3}[/tex].
Given that,
The graphs of f(x) = 10x and its translation, g(x), are shown.
We have to determine,
What is the equation of g(x)?
According to the question,
The given graphs of two functions f(x) and g(x).
The function f(x) is an exponential function and is given by:
[tex]\rm f(x) = 10^x[/tex]
To find the equation for the transformed function g(x).
We could see that the graph of the function g(x) passes through points (3,1), (4,10), (5,100), and so on.
This means that the equation or the expression for the function g(x) is given by:
[tex]\rm g(x) = 10 ^{x-3}[/tex]
Substitute the value of x = 3 in the function g(x),
[tex]\rm g(x) = 10 ^{x-3}\\\\g(3) = 10^{3-3}\\\\g(3) = 10^0\\\\g(3) = 1[/tex]
Substitute the value of x = 4 in the function g(x),
[tex]\rm g(x) = 10 ^{x-3}\\\\g(4) = 10^{4-3}\\\\g(3) = 10^1\\\\g(3) = 10[/tex]
Hence, The equation of g(x) is [tex]\rm g(x) = 10^{x-3}[/tex].
For more details refer to the link given below.
https://brainly.com/question/13148696
Answer:
the answer is a g(x)= 10x^-3
Step-by-step explanation:
simplify the following 2 √5 *5 √5
Answers
Answer: 50!!!
Step-by-step explanation:
Which is a better buy?
Answers
Answer:
four pack of notebooks for $4.56
Answer:
the 3-pack of note books for 3.33
Step-by-step explanation:
hope this helped have a great day!
A bakery worker ordered 3000 eggs when only 300 eggs were needed. Which explains how many more eggs were ordered than were needed? A. 100 times more because there are 2 zeros in 300 B. 1000 times more because there are 3 zeros in 3000 C. 10,000 times more because there are 5 total zeros in 3000 and 300 D. 10 times more because there is 1 more zero in 3000 than in 300
Answers
Answer:
D
Step-by-step explanation:
Use the following system of equations to determine if each ordered pair is a solution: 1. Is (-4,-2) a solution to the system of equations below? Show your work. -3x+2y=8 x + 2y = -8
Answers
write 200% as a decimal
Answers
Answer:
Percent Decimal
80% 0.8
90% 0.9
100% 1
200% 2
Answer:
2.00
Step-by-step explanation:
To convert a percentage to a decimal, divide by 100. So 25% is 25/100, or 0.25. To convert a decimal to a percentage, multiply by 100 (just move the decimal point 2 places to the right).
Simplify this please!!!! 100 points!!!!! ;)
Answers
Answer:6^21
Step-by-step explanation:
Answer: its B
Step-by-step you multiply 7 x 3 and you get 21
help me pls... ....
Answers
Step-by-step explanation:
A1
1 yard = 3 feet
1 foot = 12 inches
therefore,
100 yards = 100×3×12 inches = 3600 inches
A2
again, 1 yard = 3 feet
8 ft = 8/3 = 2.67 yards = 2 2/3 yards
A3
1 gallon = 8 pints
A4
1 liter = 1000 milliliters (remember, "mili" means 1/1000).
therefore,
2.2 liters = 2.2×1000 = 2200 milliliters
A5
again, 1 liter = 1000 milliliters
therefore
1 milliliter = 1/1000 liter
670 milliliters = 670 × 1/1000 liter = 670/1000 liter =
= 0.67 liter
B1
1 kg (kilogram) = 1000 grams ("kilo" means 1000).
we have 3 layers.
each layer weighs (cake plus icing)
1/2 kg + 100 g = 500 g + 100 g = 600 g
3 layers then weigh
3×600 g = 1800 g
the additional candle weighs 250 g.
so, the total is
1800 g + 250 g = 2050 g = 2.05 kg
B2
area is 110 m².
1 m = 100 cm ("centi" means 1/100).
and 1 m² is then 100×100 = 10000 cm².
so, the area in cm² is
110 × 10000 = 1,100,000 cm²
the top area of one brick = 10 × 20 = 200 cm²
so, we need
1,100,000 / 200 = 11,000 / 2 = 5500 bricks
à
A recipe calls for 1.25 cups of brown sugar to make a batch
of cookies. How many cups of brown sugar are needed for
5 batches of cookies?
Answers
Which graph represents the same relation as the rule y = 2x, for all real numbers x?
A coordinate plane has 5 points. The points are (negative 2, negative 4), (negative 1, negative 2), (0, 0), (1, 2), (2, 4).
On a coordinate plane, a horizontal line intercepts the y-axis at (0, 2).
On a coordinate plane, a straight line with positive slope intercepts the axis at (0, 0). The line goes through points (negative 2, negative 4) and (2, 4).
On a coordinate plane, 11 points form a vertical line that crosses the x-intercept at (2, 0).
Answers
On a coordinate plane, a horizontal line intercepts the y-axis at (0, 2).
What is co-ordinate plane?
A Cartesian coordinate system in a plane is a system of coordinates that uniquely identifies each point by a pair of numerical coordinates. These numerical coordinates are the signed distances from two fixed perpendicular oriented lines to the point, measured in the same unit of length.
A horizontal line exists as a straight line that varies from left to right or right to left. In coordinate geometry, a line is expressed to be horizontal if two points on the line include the same Y- y-coordinate points. It arrives from the term “horizon”. It indicates that the horizontal lines exist invariably parallel to the horizon or the x-axis.
Hence, On a coordinate plane, a horizontal line intercepts the y-axis at (0, 2).
To learn more about co-ordinate planes refer to:
https://brainly.com/question/7038052
#SPJ2
Answer:
C
Step-by-step explanation:
Edge 2023
You are a civil engineer working on the design of a new
green space in your city. The space will include gardens,
playgrounds, and picnic areas. One section of the park will
be in the shape of a right triangle. A diagram of the
requirements for the triangular space is shown below.
2x+2 yards
2x yards
2x+4 yards
1. Explain what you know about the space you will be designing. List at least three pieces
of information. (2 points)
Answers
Parallel lines : mastery test
Answers
Answer:
I can't see much so take one more than I can help
The number of football games with a score less than or equal to 29 is equal to half the number of basketball games with a score greater than or equal to
.
For both sports, if the only games won were those with scores of 30 or higher, how many more basketball games were won compared to football games won?
What is the difference between the total maximum possible points scored by the basketball team last year and the total maximum possible points scored by the football team last year?
points
Answers
Answer:
basketball player scored 40 points in a game. The number of three-point field goals the player made was 22 less than three times the number of free throws (each worth 1 point). Twice the number of two point field goals the player made was 11 more than the number of three point field goals made. Find the number of free-throws, two point field goals, and three point field goals that the player made in the game.
Once I have the equations I understand how to do the problem, but I am obviously doing something wrong because each time I write out the equations I end up getting fractions.
Please Help
Identify the underlined place in 81.7277. Then round the number to that place.
Underlined place is 2/Two
hundredths; 81.72
thousandths; 81.73
thousandths; 81.72
hundredths; 81.73
Answers
Answer:
hundredths; 81.73
Step-by-step explanation:
If the number underlined is two, then it will rounding to the hundredths place. Since the number after it is 7, which is greater than 5, we get 81.73.
What does: 8w+22=34 equal?
Answers
Answer:
3/2
HOPE I HELPEDD
Answer:
w= 1 1/2
I dont know if thats the question youre asking, if its not tell me.
can someone please help with this?
Answers
if clare goes to the bank every 7 days and clare go's to the bank every 5 days what day will they bolth go to the bank
Answers
Because there are 5 week days so most likely they will meet up on those days
Which of the following is statement is TRUE about mixed numbers?
A. A whole number and an improper fraction.
B. A whole number and a mixed forms.
C. A whole number and a proper fraction.
D. A whole number, remainder and similar fraction
Answers
Can you convert the stander linear equation 5x-3y=15 into slope intercept form?
Answers
Answer: y = (5/3)x - 5
Step-by-step explanation:
5x-3y=15
-3y = -5x + 15
y = (5/3)x - 5
Answer:
In slope intercept form, I think it would be y=5/3x-5
Step-by-step explanation:
5x-3y=15
-subtract 5x on both sides-
-3y=-5x+15
-divide by -3 on both sides-
y=-5/-3x+15/-3
(the negatives on -5/-3 cancel each other out leaving you with a positive 5/3)
y=5/3x-5
Im not sure if all calculations are correct, but i hope this helps! :)
Marsha deposited $5,500 into a savings account 5 years ago. The simple interest rate is 3%. How much money did earn in interest?
Substitute the values into the equation.
Interest : $_ x _ x _%
Answers
Answer:
5,500 × 30%
Step-by-step explanation:
165.00 in intrest
I need help with an equation... I can't understand it I've tried it a couple of times and I still get it wrong...so help plz?
Answers
Answer:
(f·g)(x) = x³ -8x² +20x -16
Step-by-step explanation:
The distributive property is useful for this.
(f·g)(x) = f(x)·g(x) = (x² -6x +8)(x -2)
= x(x² -6x +8) -2(x² -6x +8)
= x³ -6x² +8x -2x² +12x -16
(f·g)(x) = x³ -8x² +20x -16
_____
Additional comment
I find it convenient to separate the terms of the shortest polynomial. That way, the distributive property doesn't need to be used quite so many times. Of course, any outside minus sign applies to all terms inside parentheses.
Find the slope for (3,1)and (4,3)
Answers
so, 3-1 =2 and 4-3=1
2/1 is 2
Answer:
2
Step-by-step explanation:
slope formula : [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] where the x and y values are derived from known points
We are given the points (3,1)and (4,3)
Given these points we can define our variables
(x1,y1) = (3,1) so x1 = 3 and y1 = 1
(x2,y2) = (4,3) so x2 = 4 and y2 = 3
Now that we have defined our variable, we plug them into the formula
Recall formula: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
x1 = 3 , y1 = 1 , x2 = 4 , y2 = 3
* plug in values *
[tex]\frac{3-1}{4-3}[/tex]
subtract 3 and 1 , and 4 and 3
[tex]\frac{3-1=2}{4-3=1} =\frac{2}{1} =2[/tex]
the slope is 2
First person to get it right will get Brainly and 20 points. Good luck
Answers
Answer:
16/20
Step-by-step explanation:
4 is the common factor. 16 % 4 = 4, 20 % 4 = 5. therefore, 16/20 = 4/5
The answer is 16/20 I think.
Which of the following shows the less amount from the original value?
a. Gadget of 5000 with 5% discount price
b. Mr Smith bought a leather bag for £25 and sold it for £45.
c. A calculator marked £8.50 and Mr Smith pay 15% VAT for this item.
d. Mr Smith sold of £875 for furniture with a gain of 6%.
and explain why.
Answers
Answer:
A
Step-by-step explanation:
This is because it is discounting however in the others it's increasing VAT=Value added Tax,
gain, 45-25=£20 profit therefore it's A.
Answer:
Gadget of 5000 with 5% discount price
Step-by-step explanation:
This is the only option with a discount, not an additional extra on top.
The proportional relationship between the number of hours Taylor works, h, and her total earnings in dollars and cents, e, can be represented by the equation e=15.9he=15.9h. How much does she make in dollars and cents per hour?
Answers
The amount she makes in an hour is $15.90.
The amount Taylor earns is directly proportional to the hours Taylor works.
The equation that can be used to represent direction proportion is:
y = kx
where:
y = dependent variable
k = constant of proportionality
x = independent variable
e = 15.9h
Amount earned in an hour
e = 15.9(1)
e = $15.90
A similar question was answered here: https://brainly.com/question/24799762