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
Learn more on vertical asymptotes here: https://brainly.com/question/21678319
Can you help? Please show work. Thank You.
Answer:
C. x+y=5; -2x+y=2
Step-by-step explanation:
The slope of the line in Table A is ...
m = (y2 -y1)/(x2 -x1)
m = (-6 -(-4))/(11 -9) = -2/2 = -1
The slope of the line in Table B is ...
m = (-8 -20)/(-5 -9) = -28/-14 = 2
We observe that the slopes have different signs. This means the signs of the terms in the standard form equation will be different from one equation to the other. The only pair of equations for which that is true is the pair in choice C.
Trying these equations on the first line of the tables, we see they match the table values.
Table A: 9 +(-4) = 5 . . . true
Table B: -2(9) +20 = 2 . . . true
_____
Additional comment
Neither equation in choice A has the correct slope for either table. The equations in choice B are inconsistent, both having slope -1, but different y-intercepts.
46 degrees and x
X =
Answer:
136° that's 90 plus 46.........
Answer:
x = 136°
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
x is an exterior angle of the triangle , then
x = 90° + 46° = 136°
A potter makes cups and saucers in a factory. He is paid $1.44 per
batch of cups and $1.20
per
batch of saucers. What is his gross pay if
he makes 9 batches of cups and 11 batches of saucers in one day?
Answer:
4
Step-by-step explanation:
(3x-16) = (6x+7) = (11y-32)
Answer:
11y = -32
Step-by-step explanation:
The product of three less than a number and eight is nine
Answer:
[see below]
Step-by-step explanation:
Three less than a number (x) would be: x - 3
"The product of three less than a number and eight" would be 8(x-3).
The product of three less than a number and eight is nine would be:
8(x-3) = 9
[tex]8(x-3) = 9\\\rule{150}{0.5}\\8x - 24 = 9\\\\8x - 24 + 24 = 9 + 24\\\\8x = 33\\\\\frac{8x = 33}{8}\\\\x = \frac{33}{8}[/tex]
Hope this helps.
75+45+x/69=180
solve for x please :)
Answer: just add 75 and 45 + x and do division for 69 ok but times the 45 with 69 ok good luck
Step-by-step explanation:
which function describes the arithmetic sequence shown -5,-7,-9,-11,-13
Answer:
[tex]n(x)=x-2[/tex]
Step-by-step explanation:
You can notice that between each of the arithmetic sequence there is a addition of 2. So we know that to add a 2 to get the next value. We can write it as n(x) where n is a function where x is the number:
n is the function and x repersent the number which is givenWe can write this function as: [tex]n(x)=x-2[/tex]So if we input x = -5 we will get -7. If we input -11 we get -13.
2/5% as a fraction
Pld
Hey there!
2/5%
= 2/5
= 2 ÷ 5
= 0.40
= 0.40 × 100
= 40%
Therefore, your answer is: 40%
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
I need help with this. 2 to the 6 power, +2 to the 3 power, raised to the 3 power. Please tell me the steps you took to get the answer. and happy. Christmas Eve
Answer: 576
Step-by-step explanation:
(I just know the powers of smaller numbers by memory so...)
2^6(2x2x2x2x2x2) = 64
You can simplify the second part( 2^3^3) by just multiplying the powers, 3x3 = 9 and 2^9 = 512
Final answer = 512 + 64 = 576
[tex]\\ \sf\Rrightarrow 2^6+(2^3)^3[/tex]
[tex]\\ \sf\Rrightarrow 2^6+2^9[/tex]
[tex]\\ \sf\Rrightarrow 64+512[/tex]
[tex]\\ \sf\Rrightarrow 576[/tex]
Option A is correct
What is the value of the expression 6 and 3 over four multiplied by negative 11. 5?.
The value of the expression (6¾) × -11.5 is; -77⅝
We want to find the value of;
(6¾) × -11.5
Let us change 6¾ to improper fraction to get;
27/4
Also,let's change -11.5 to an improper fraction to get; -115/10
Thus;
(6¾) × -11.5 = 27/4 × -115/10
>> (-115 × 27)/(40)
>> 3105/40
>> -77⅝
Read more about simplification of fraction at; https://brainly.com/question/15225407
YOU guys can write a story or a situation that can be represented by the given equation.
4a + 5 = 12a - 11
Thank you :)
Answer:
If you have a party and your pizza was split up into 16 pieces, 8 people should be able to have 2 pieces.
Step-by-step explanation:
How much Lilac would earn if she deposited ₱25,000.00 on the bank with 3% interest per year after 5 years?
paki answer po T-T
Answer:
p= 25000
I=3%
t=5yrs
a= pti÷ 100
25000*3*5÷100
3750
I need help on question 5 - 6 - 7 - 8 - 9 - 10 - 11 - 12 please
Answer:
The solution is given in the photo
- Are the lines y = -1 and x = 1 parallel?
Answer:
No the lines are perpendicular.
Step-by-step explanation:
The lines are perpendicular because x and y meet up and make a perpendicular line. If you don't believe me plug it in a graphing calculator.
if a line has slope -2/3 and passes through point (-3,7) what is the y intercept
Answer: The y-intercept is 5.
Step-by-step explanation:
We can write what we know in the form of a slope intercept equation,
y=mx + b,
where m is the slope and b the y-intercept (the value of y when x=0).
We are given the slope:
y = -(2/3)x + b
We need a value of b that forces the line through the point (-3,7). Enter the point and solve for b:
y = -(2/3)x + b
7 = -(2/3)*(-3) + b for (-3,7)
7 = 2 + b
b = 5
The equation becomes y = -(2/3)x + 5
The y-intercept is 5.
See attachment.
The cafeteria made 19 mushroom pizzas and 57 pepperoni pizzas.What percentage of the pizzas were mushroom?
Answer:
the answer is 14.04
...............
25 % of pizzas were mushroom pizzas.
What is percentage?Percentage is a measurement to find value of given number out of hundred.
Given that,
Number of mushroom pizzas = 19,
And number of pepperoni pizzas = 57.
Total number of pizzas = 19 + 57 = 76.
To find the number of percentage of pizzas of mushroom,
Use percentage property,
= (Number of mushroom pizzas / total pizzas) x 100
= (19 / 76) x 100
= 100/ 4
= 25 %
The required percentage of mushroom pizzas = 25 %.
To learn more on Percentage:
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I need these answers in 5 MINUTES PLZ HELP
Answer:
30? I might be wrong soooo
Step-by-step explanation:
15*2=30
A carpenter is framing an opening in a wall to hang a rectangular door. Which properties must the door frame have to ensure that the door hangs properly?
1a) The top and bottom are parallel.
2b) The top and right side form a right angle.
4c) The left side and right side are parallel.
5d) The left side and bottom form a right angle.
Which situation could this graph represent?
a. speed of a car starting from a stop sign and then approaching a stoplight
b. riding your bike slowly up a steep hill and then quickly down the other side
c. total rainfall during a rainy day
d. temperature as the weather changes from rainy to snowy
Answer:
A because the other answer choices are not associated with what is in the graph
I didn't pay attention today
Answer:
because you was busy and nor interested in paying attention.
If someone is traveling 3mi per 15 mins how far do they go in 1min?
Answer:
0.2 mi
Step-by-step explanation:
3 mi for 15 min
so divide 3 mi by 15 min = 0.2
Simplify using combining like terms: 3a + 6 + 2a - 8
Answer:
a = 2
Step-by-step explanation:
Simplifying
3a + 6 = 2a + 8
Reorder the terms:
6 + 3a = 2a + 8
Reorder the terms:
6 + 3a = 8 + 2a
Solving
6 + 3a = 8 + 2a
Solving for variable 'a'.
Move all terms containing a to the left, all other terms to the right.
Add '-2a' to each side of the equation.
6 + 3a + -2a = 8 + 2a + -2a
Combine like terms: 3a + -2a = 1a
6 + 1a = 8 + 2a + -2a
Combine like terms: 2a + -2a = 0
6 + 1a = 8 + 0
6 + 1a = 8
Add '-6' to each side of the equation.
6 + -6 + 1a = 8 + -6
Combine like terms: 6 + -6 = 0
0 + 1a = 8 + -6
1a = 8 + -6
Combine like terms: 8 + -6 = 2
1a = 2
Divide each side by '1'.
a = 2
WILL GIVE BRAINLIEST
HELP ASAP!! WILL ADD 5 STAR RATING !!!
ANY AND ALL LINKS OR WRONG ANSWERS WILL BE REPORTED !!!!
[please put in correct order]
Answer:
It the W or the orange point
Need help now pls on HS geometry
Answer:
b
Step-by-step explanation:
RT is a perpendicular bisector of QS , then
Δ QRS is isosceles with 2 congruent legs , that is
QR = SR
7x - 22 = 4x + 5 ( subtract 4x from both sides )
3x - 22 = 5 ( add 22 to both sides )
3x = 27 ( divide both sides by 3 )
x = 9
Then
RS = 4x + 5 = 4(9) + 5 = 36 + 5 = 41
I NEED HELP ASAP
Write the equation of the line in fully simplified slope-intercept form.
Answer: [tex]y = \frac{4}{5}x + 4[/tex], if this helped you please give Brainliest
Step-by-step explanation:
Hello can some one please help me
Nine out of ten students prefer math class over lunch. How many students do not prefer math if 200 students were asked
Answer:
i think probably 20
Step-by-step explanation:
if 200 students, students do not prefer math 10/100 × 200 = 20
Please help this is due on Monday! Will give brainliest!!!!
Answer:
The awnser in the first option. A
mathmatic equation
solve y:
7=4(3y-3)
Answer:
y=1.58
Step-by-step explanation:
7=4(3y-3)
Simplify the distributive property.
7=12y-12
Add 12 to both sides.
19=12y
Divide 12 on both sides.
1.58=y
-hope it helps
some one plz help!!! due in 10 min
Step-by-step explanation:
since f'(x) = 2f(x) and f(3) has no term of x (so, there must be a constant that eliminates x for x = 3), we get
f(x) = x²/9 × c
c = m×e^n
f(1) = 1/9 × m×e^n = 5
=> m×e^n = 45
f(3) = 9/9 × m×e^n = 45
m = 45
n = 0