The vertical asymptotes of the function are 3 and 6
Given the function
[tex]\frac{x+6}{x^2-9x+18}[/tex]
The vertical asymptotes of the function occur at the point where the denominator is zero.
Equate the denominator to zero.
x^2 - 9x + 18 = 0
Factorize the quadratic expression:
x^2 - 3x - 6x + 18 =0
x(x-3)-6(x-3) = 0
(x-3)(x-6) = 0
x - 3 = 0 and x - 6 = 0
x = 3 and 6
Hence the vertical asymptotes of the function are 3 and 6
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Solve the following system of equations.
4x + 7y= 18
- 7x - 8y = -23
X =
y =
im lazy to solve in my paper hope it helps
True or false: In(x+y)- In(x+y)=0. Explain your thinking.
[tex]\huge \bf༆ Answer ༄[/tex]
Let's solve ~
[tex] \sf ln(x + y) - ln(x + y) [/tex][tex] \sf ln( \frac{x + y}{x + y} ) [/tex][tex] \sf ln(1) [/tex][tex] \sf0[/tex][ Since, ln (1) = 0 ]
Therefore, the statement is true ~
Answer:
In(x+y) - In(x+y)
= In([tex] \frac{x + y}{x + y} [/tex])
= In(1)
=0
Hence, the statement is true!!
what is 7.5% as a fraction
Answer:
15/2
Step-by-step explanation:
hope it helps (•‿•)
Solve the following system of equations using elimination.
5x+y=24
-5x-4y=-56
Solve for y:
Solve for x:
Eight children can fold 5 paper cranes in 6 minutes.
(i) How long will it take 36 children to fold 120 paper cranes?
May I please receive help?
The price of a package of 4 pens is $8.00. The same pens are sold at $2.50 each. If Alex bought three packages of pens rather than buying 12 pens individually, the amount he saved on 12 pens is the percent of the amount he paid is
Answer:
25%
Step-by-step explanation:
alex paid:
8x3 = 24
he saved:
2.50x12-24 = 30 - 24 = 6
percent:
(6/24)x100 = 25%
What is 2/3 – (-2/3)
Answer:
2/3 - (-2/3)
=0.66 - (-0.66)
=0.66+0.66
= 1.32
how to simplify -5 1/4 - (-7 1/2
(hopefully I read this right)
-5 1/4 - (-7 1/2)
-5 1/4 - -7 1/2
-5 1/4 - -7 2/4
-21/4 - -30/4
-21/4 - -30/4 = 9/4 = 2 1/4
Hopefully I am correct!
State the y-coordinate of the yintercept for the function below.
f(x) = 4x^3-12x^2-x+15
Answer:
15
Step-by-step explanation:
let y = f(x)
substitute x = 0
y = 4(0)^3-12(0)^2-(0)+15 = 15
Gabriella and her children went into a restaurant where they sell hotdogs for $4 each and tacos for $2 each. Gabriella has $30 to spend and must buy a minimum of 9 hotdogs and tacos altogether. Also, she must buy no less than 2 hotdogs. If xx represents the number of hotdogs purchased and yy represents the number of tacos purchased, write and solve a system of inequalities graphically and determine one possible solution.
A possible solution to the inequality is 2 hotdogs and 8 tacos.
Let x represents the number of hotdogs purchased and y represents the number of tacos purchased.
Gabriella has $30 to spend and must buy a minimum of 9 hotdogs and tacos altogether.
Hence:
4x + 2y ≤ 30 (1)
x + y ≥ 9 (2)
Also:
x ≥ 2 (3)
A possible solution to the inequality is 2 hotdogs and 8 tacos.
Find out more on inequality at: https://brainly.com/question/241541
Mr. Russo had 6.25 cubic feet of potting soil in his raised garden bed. Then he took a bag of soil and poured in enough to completely fill the 9-cubic-foot bed. Let x represent how much soil was in the bag. Which inequality describes the problem?
Answer:
b
Step-by-step explanation:
Please help, Math- Sophie the stealth Sharp shooter challenges you to a game of chance. She charges you $25 to get a chance to shoot at a target. if you hit the bullseye, you get a $100 (win$75). If you miss the bullseye but are within two circles of it, you get your money back. Over the course of sophies career, she finds that 5% of people hit the bullseye and 30% of people miss but are within two circles. All other contestants miss by further and lose.
Make a distribution table of the situation.
What is the expected amount for you to win or lose?
How much money would you expect Sophie to win or lose if 100 people played the game?
What should she charge to make this game fair?
Show work, please
The expected result for each shot is a loss of $ 12.50, so if 100 people played, Sophie would win on average about $ 1250. Lastly, Sophie should charge $ 5.77 for this value to be fair.
Since Sophie charges you $ 25 to get a chance to shoot at a target, and if you hit the bullseye, you get a $ 100 (win $ 75), and if you miss the bullseye but are within two circles of it, you get your money back, and over the course of sophies career, she finds that 5% of people hit the bullseye and 30% of people miss but are within two circles, while all other contestants miss by further and lose; to determine what is the expected amount for you to win or lose; how much money would you expect Sophie to win or lose if 100 people played the game; and what should she charge to make this game fair, the following calculations must be performed:
(75 x 5 + -25 x 65) / 100 = X (375 - 1625) / 100 = X -1250 / 100 = X -12.5 = X
375 + 65X = 0 65X = 375 X = 375/65 X = 5.77
Therefore, the expected result for each shot is a loss of $ 12.50, so if 100 people played, Sophie would win on average about $ 1250. Lastly, Sophie should charge $ 5.77 for this value to be fair.
Learn more about maths in https://brainly.com/question/25885499
PLEASEEEE WILL GIVE BRAINLIEST TO FIRST RIGHT ANSWER!!!!!!!!!!
Find the solution of the system of equations.
x-y=-3
-8x+y=45
solve similar triangles (advanced)
Answer:
1
Step-by-step explanation:
They are similar triangles and ED and AD are 9 so CB and AB must be 1.
[(8-2) x (3+2) -1] x 3
87 is your answer.
Step-by step solution:Step 1: According to the DMAS rule, simplify the values that are inside the brackets.
=> [(8 - 2) x (3 + 2) - 1] x 3=> [(6) x (5) - 1] x 3=> [6 x 5 - 1] x 3=> [30 - 1] x 3=> 29 x 3Step 2: According to the DMAS rule, next, simplify the values that are having multiplication.
=> 29 x 3=> 87Final Answer:Therefore, 87 is your answer.
Hoped this helped.
help me please???????
Answer:
we have to know what your element is to help you answer this question
1
x 1.0 -
=
10
1
-
10 x 1.0
Step-by-step explanation:
the question doesn't make sense and you need to rephrase the question.
CAN SOMEONE HELP ME PLEASE ASAP!?
Please Help!!!!!! Tom says that he needs 6 rolls to obtain each possible outcome on a 6-sided die. On the fourth roll, he rolls his second "3”. Tom says that the die is loaded and that each outcome is not equally likely. Is Tom correct here? If you think Tom is incorrect, how many rolls should Tom make until he sees each number occurring about 1/6 of the time?
Answer:
I think he is correct.
Step-by-step explanation:
I think he is correct because when you roll a die, it is 10 to 1 for the die to get the number you want.
Tom says that the dices outcome is NOT equally likely. When actually the outcome is equally likely.
On dice no two number repeat twice. So in this case every time he rolls the die he has the same chance of getting 3 than he does any other number.
So Tom is incorrect.
And for how many times it will take Tom for all the numbers to occur is all by luck and chance.
But each number is equally likely to come.
What is the area of this figure?
please help me ASAP!
Answer:
35cm squared
Step-by-step explanation:
5*5=25 for the square
10cm for the triangle (multiply base by height)
add it for 35
What is the equation of this graphed line?
Enter your answer in slope-intercept form in the box.
Answer:
y = -1/3x - 5
Introduction:
The slope intercept form of a line is y = mx + b. Now, let's start out by solving the slope.
Step-by step explanation:
=> Slope = rise/run = [tex]\frac{y_{2} - y_{1} }{x_{2}-x_{1} }[/tex]=> Slope = [tex]\frac{-3- (-7) }{-6-6 }[/tex]=> Slope = [tex]\frac{4}{-12}[/tex]=> Slope = [tex]\frac{-1}{3}[/tex]Since we have found the slope, let's find the y-intercept to create our equation.
=> y-intercept = -5Conclusion:
Therefore, our new equation is y = -1/3x - 5
Hoped this helped.
[tex]BrainiacUser1357[/tex]
Find the equation of the straight line which makes a negative intercept of 4 units on the x - axis and passes through the point (2‚ 3).
Answer:
y = 1/2x + 2.
Step-by-step explanation:
It passes through the points (-4, 0) and (2,3) so
the slope (m) = (3-0)/(2-(-4)) = 3/2 = 1/2.
Using the point slope form of a straight line:
y - y1 = m(x - x1):
y - 3 = 1/2(x - 2)
y = 1/2x - 1 + 3
y = 1/2x + 2 is the required equation.
100 POINTS!! ANSWER ASP THANKS
There can be no more than 835 people in the concert hall. What inequality represents the number of people, p, allowed in the concert hall? Drag and drop the appropriate symbol to correctly complete the inequality. p (Answer) (835
Recap: There can be no more than 835 people in the concert hall. What inequality represents the number of people, p, allowed in the concert hall? Drag and drop the appropriate symbol to correctly complete the inequality. (p [ ] 835
> < ≤ ≥
Answer: P≥835
Answer: Your Answer Is p≥835 i took the quiz
Step-by-step explanation:
original price: $2.00
discount: 31%
tax: 3%
Answer:
is this a questions or no?
Step-by-step explanation:
-4r>16 I need help???
Answer:
-4
Step-by-step explanation:
Well to single out the “r”, you must divide both sides by -4:
-4r>16
/-4 /-4
r<4
*remember to switch the sign because you dividing by a negative number*
John solves the equation 5(x-3)+4=18. which 2 choices could be his next step in solving the equation?
5x-15+4=18
5(x-3)=22
5(x-3)=14
5x-13+4=18
Answer:
5x-15+4=18
technically there's only one answer because you do parentheses first but if you did do parentheses first then the other answer could be
5(x-3)=14
What is the volume of a sphere with a radius of 5.9 inch rounded to the nearest 10th of a cubic inch
Answer:
860.3
Step-by-step explanation:
43·π·5.93≈860.28954in³
860.28954 = 860.3
The volume of the sphere is V = 859.9 inches³
What is a Sphere?A sphere is symmetrical, round in shape. It is a three dimensional solid, that has all its surface points at equal distances from the center. It has surface area and volume based on its radius. It does not have any faces, corners or edges.
The Surface Area of a Sphere = 4πr²
The Volume of a Sphere = ( 4/3 ) πr³
where r is the radius of the sphere
Given data ,
Let the radius of the sphere be r = 5.9 inches
Now , Volume of a Sphere = ( 4/3 ) πr³
On simplifying , we get
V = ( 4/3 ) ( 3.14 ) ( 5.9 )³
V = 859.853 inches³
Hence , the sphere has volume of 859.9 inches³
To learn more about sphere click :
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The diameter of Mercury is approximately4.9×103 kilometers. The diameter of Saturn is approximately 1.2×105 kilometers. About how many times greater is the diameter of Saturn than the diameter of Mercury?
Answer: 378.7 kilometers (maybe, I am not sure)
Mercury: 4.9 * 103 = 504.7 kilometers
Saturn: 1.2 * 105 = 126 kilometers.
Why on earth is Mercury's diameter greater than Saturn's -
504.7 - 126 = 378.7 kilometers
expand and simplify 2(8x + 4y - 10)
[tex]2(8x + \\4y - 10)[/tex]