The equation for the slant asymptote of the given function is y = 2x - 4.
Option (B) is correct.
What is the slant asymptote of the function?
A slant asymptote of a function is a line that the function approaches, but never touches or crosses. It is a type of asymptote that occurs when the degree of the numerator of a rational function (a function that can be written as the ratio of two polynomials) is greater than the degree of the denominator.
To determine the equation for the slant asymptote of a rational function (a function that can be written as the ratio of two polynomials), we need to look at the degree (the highest power of x) of the numerator and the degree of the denominator.
The function g(x) = (2x^2 + 4x + 6) / (x + 4)
The degree of the numerator is 2 and the degree of the denominator is 1, since the x^2 is the highest power of x in numerator and x is the highest power of x in denominator.
Since the degree of the numerator is greater than the degree of the denominator, the slant asymptote will have the same degree as the numerator, which is 2.
To find the equation of the slant asymptote, we divide the numerator by the denominator using the long division method and get
2x + 2 - (x + 2)/(x + 4)
The equation of the slant asymptote will be the result of the long division, which is 2x - 4
Hence, the equation for the slant asymptote of the given function is y = 2x - 4
To learn more about the slant asymptote of the function, visit:
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Do 4x and 15 + x have the same value when x is 5? How do you know?
Answer:
yes
Step-by-step explanation:
If x = 5,
4x=4*5=20
15+x=15+5=20
They're both the same.
Yes
Step-by-step explanation:
x = 5
4(5) = 15 + (5)
20 = 20
Hudson is selling water bottles at a baseball game to help raise money for new uniforms. Before the game, he buys two cases of 24 water bottles for a total of $18.50. At the game, he sells all of the bottles for $1.25 each. How much profit does Hudson make?
Answer:
12.50
Step-by-step explanation:
1.25x 24= 30
30
-
18.50
____
12.50
Number of water bottles Hudson buys :
[tex] =\tt 24 \times 2[/tex]
[tex] = \tt48[/tex]
Thus, Hudson buys 48 water bottles.
Cost price of 48 water bottles = 18.50
Cost price of 1 water bottle :
[tex] =\tt \frac{18.50}{48} [/tex]
[tex]\color{plum} =\tt \$0.38[/tex]
Thus, cost price of one water bottle = $0.38
Selling price of one water bottle = $1.25
Selling price of 48 water bottles :
[tex] = \tt48 \times 1.25[/tex]
[tex]\color{plum}=\tt \$60[/tex]
Thus, selling price of 24 water bottles = $60
Which means :
▪︎Cost price = $18.50
▪︎Selling price = $60
Profit = Selling price - Cost price :
Profit Hudson made :
[tex] =\tt 60 - 18.50[/tex]
[tex]\color{plum} = \tt\$41.5[/tex]
Thus, profit Hudson made = $41.5
We know that :
[tex]\color{hotpink}\tt \: Profit \: Percentage =\color{plum} \frac{profit \times 100}{cost \: price} [/tex]
Percentage of profit Hudson made :
[tex] =\tt\frac{41.5 \times 100}{18.50 \times 100} [/tex]
[tex] =\tt \frac{4150}{1850} [/tex]
[tex]\color{plum} =\tt 2.24\%[/tex]
Thus, percentage of profit Hudson earned = 2.24%
Therefore,● Profit Hudson made = $41.5
● Percentage of profit Hudson made = 2.24%
Mr. Petersons rectangular garden had a width of 3 meters and an area of 10 square meters. This year he wants to make the garden three times as long and two times as wide? What are the the measurments of this years garden?
Answer:
Measurements of this years garden are 10 meters and 6 metres.
Step-by-step explanation:
Width of a rectangular garden = 3 meters
Area of a rectangular garden = 10 square meters
Also,
Area of a rectangular garden = length × breadth
10 = length × 3
Length = [tex]\frac{10}{3}[/tex] meters
Mr. Petersons wants to make the garden three times as long and two times as wide.
New length = 3 (length) = [tex]3(\frac{10}{3} )=10[/tex] meters
New breadth = 2(width) = 2(3) = 6 meters.
Therefore,
Measurements of this years garden are 10 meters and 6 metres.
ILL GIVE BRAINLIEST PLS HELP ME
Answer:
1 and 4 come in yes and 2 and 3 come into no mark as brainliest
1/2{x-1/6}+2/3=5/6+1/3 (1/2-3x)
Answer:
I think it's correct but tell me if I'm wrong
solve each equation by substitution:
y = 6x - 17
y= -4x +23
Answer:
[tex]y = 6x - 17 \\ y = - 4x + 23 \\ then \\ 6 x - 17 = - 4x + 23 \\ 10x = 40 \\ x = 4 \\ y = 7[/tex]
A circle has a circumference of 1{,}133.541,133.541, comma, 133, point, 54 units.
What is the diameter of the circle?
units
Answer:
can u give me the formula for this then i might be able to help
Step-by-step explanation:
Answer:
360.81
Step-by-step explanation:
Does anyone know composite functions?
que es una expresión algebraica
Answer:
En matemáticas, una expresión algebraica es una expresión construida a partir de constantes enteras, variables y operaciones algebraicas (suma, resta, multiplicación, división y exponenciación por un exponente que es un número racional).
Step-by-step explanation:
A mug is 1/3 full. The mug contains 5/6 of a cup of water. Find the capacity of the mug. Write the answer as a fraction or mixed number in simplest form.
I need this Asap :)
PLS and THANK YOU
Answer:
answer is 15/6 or 2 and 1/2 cups
What is the value of x?
Answer:
X=14
Step-by-step explanation:
We know that both sides are congruent
so if the other angle is 7- then divide 70 by 5
Hope this helps ^-^
Step-by-step explanation:
step 1. a quadrilateral has 4 sides and 360° internally.
step 2. 70 + 5x + 110(2) = 360.
step 3. 5x = 70
step 4. x = 14.
Pls answer...thanks.
Tres hermanos naciernon en años consecutivos y la suma de sus edades en el año 2018 es 75 en que año nacio el menor
Answer:
1994
Step-by-step explanation:
x+(x+1)+(x+2)=75
3x=72
x=24
2018-24=1994
Por lo tanto, el hermano menor tiene 24 años y nació en 1996
Usando un sistema de ecuaciones, se encuentra que el menor nacio en 1994.
Tres hermanos nacieron en anõs consecutivos, o que implica que sus edades son dadas por: [tex]x, x + 1, x + 2[/tex].Suma de 75, o sea:
[tex]x + x + 1 + x + 2 = 75[/tex]
[tex]3x + 3 = 75[/tex]
[tex]3x = 72[/tex]
[tex]x = \frac{72}{3}[/tex]
[tex]x = 24[/tex]
O sea, el menor tiene 24 años en 2018.
2018 - 24 = 1994, o que implica que el menor nascio en 1994.
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From the expression above, provide an example of each of the following: sum, term, product, factor, quotient, and coefficient. If any are not present, write "not present." (6 points)
p
0 words
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Question 74 pts
(06.04)
4x + 1 over 3 y2
What is the value of the expression above when x = 2 and y = 3? You must show all work and calculations to receive full credit. (4 points)
hellllllp
p
0 words
No new data to save. Last checked at 9:41am
Answer:
----------------------------------------------------------------------------------------------------------------
-1 and 1/3
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Step-by-step explanation:
----------------------------------------------------------------------------------------------------------------
This is for people with the question;
In the following algebraic expression, determine the coefficients.
-x-12+3/y
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Also Theres Proof ↓ [all the Way Down - Screenshot]
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Answer:
-1 and 1/3 or B hope i helped
Step-by-step explanation:
Find a solution to each equation without writing anything down. 2(x+1)=10
Answer:
4
Step-by-step explanation:
1. What is the value of x in the figure?
(4x + 2)
150°
Thomas has sixty-two cents. How much money is this?
$0.62
$6.02
$62
$6.20
Done →
Answer:
$0.62
Step-by-step explanation:
Answer:
$0.62 ......................
For the salad bar, Channing must divide 8 bags of lettuce equally among 3 serving bowls. How many bags of lettuce would be in each serving bowl if they are divided equally?
Answer:
Number of bag filled in a bowl = 2.67 bags
Step-by-step explanation:
Given:
Number of lettuce bags = 8
Number of serving bowl = 3
Find:
Number of bag filled in a bowl
Computation:
Number of bag filled in a bowl = Number of lettuce bags / Number of serving bowl
Number of bag filled in a bowl = 8 / 3
Number of bag filled in a bowl = 2.67 bags
Molly bought 10 bags of the same dog food. She had a coupon for $5. She spent a total of $65. Write an equation to determine the cost of each bag of dog food
STEP IT OUT:
Answer:
7
Step-by-step explanation:
Molly bought 10 bags of the same dog food. She had a coupon for $5. She spent a total of $65. How much money was each bag of the dog food?
example:
ositive numbers
numbers greater than zero
Negative Numbers
numbers less than zero
Integers
whole numbers and their opposites
Absolute Value
The distance a number is from zero on a number line. ALWAYS POSITIVE
equation
A mathematical sentence that contains an equals sign.
more examples:
9- (-9)=
18
121 / -11
-11
2(n + 5) = −2
-6
9
−9x + 1 = −80
253 + 234=
487
−15 = −4m + 5
5
8n + 7 = 31
3
Hope this helps bsf
in angle abcd if b=50 find the other angles
Answer:
angel abcd is not possible
Answer:
can u show the angels?
Step-by-step explanation:
Which angles and sides must be congruent to each other? Select three that apply.
What is the slope of the line?
$
2
45
6>x
-3
Step-by-step explanation: i am pretty sure it is 1
What's x? The question is in the picture
Answer:
8
Step-by-step explanation:
That little square means the angle between the L shape is 90 degrees.
This means that the two angles must add up to 90 degrees:
(6x+2)+(4x+8)=90
10x+10=90
10x=80
x=8
a right angle is 90 degrees. take both equations and put them together and add like terms.
10x + 10 = 90. subtract 10 from both sides.
10x = 80. divide by 10 on both sides.
x = 8
PLZZZZZ HELP AND HURRRRRY!
Answer:
b
Step-by-step explanation:
mindy bought five eights of almonds and three forths of walnuts witch pair of fractions cannot be used to find how many pounds of nuts she bought in all
Answer:
9
Step-by-step explanation:
I'M TELLING U THE ANSWER IS 9
In the figure, kj and are opposite rays. 21 & 22 and KM
bisects NKL
Р
2
134
NM
L
What bisects ZJKN?
Answer:
P 2 134 2×384
Step-by-step explanation:
24×(345)3\
Use the property to complete the statement.
20. Reflexive Property of Equality: m2D = ?
21. Transitive Property of Congruence:
If PQ = RS and RS = TU, then ? =
Answer:
See step by step. Use the mathematical geometric symbols not the actual words.
Step-by-step explanation:
20. Measurement of angle D
21. PQ is congruent to TU
please help i have not been paying attention to the last few classes so im confused
Stephen won tickets playing the pool game at the local arcade. The first time, he won 90 tickets. The second time, he won a bonus, which was 5 times the number of tickets of the original second prize. Altogether he won 300 tickets. How many tickets was the original second prize?
Answer:
42 tickets
Step-by-step explanation:
First winning = 90 tickets
Bonus won = 5 times the number of tickets of the original second prize
Total tickets won = 300
That is ;
First winning + bonus = 300 tickets
Let :
Number Tickets won by original second price = x
Bonus = 5x
Then;
90 + 5x = 300
5x = 300 - 90
5x = 210
x = 210 / 5
x = 42
can someone help me solve this equation?
-11v-14=v-14
Answer:
0.
Step-by-step explanation:
Add 14 on both sides:
-11v+0=v
So we have:
-11v=v
And there is only one number in the universe that can satisfy that and that is 0.
V = 0
-11v = v
0 = v + 11v
0 = 12v
0 = v
v = 0