A number x is at most -5 or at least 0
Do the graphs of all rational functions have at least one asymptote or hole? Explain why or why not
A. No, a function may have neither asymptotes nor holes.
B. Yes, the function will have both a vertical asymptote and hole for any values that cause the denominator to be equal to zero.
C. Yes, the function will have either a vertical asymptote or hole for any values that cause the denominator to be equal to zero
D. Yes, the function will have either a horizontal asymptote or hole for any values that cause the denominator to be equal to zero.
Answer:
C. Yes, the function will have either a vertical asymptote or hole for any values that cause the denominator to be equal to zero
Step-by-step explanation:
We want to see if all rational functions always have at least one asymptote or hole.
The answer is C:
" Yes, the function will have either a vertical asymptote or hole for any values that cause the denominator to be equal to zero"
A rational function is something like:
[tex]f(x) = \frac{q(x)}{p(x)}[/tex]
Where q(x) and p(x) are polynomials.
The asymptotes or holes happen when the denominator is equal to zero and the numerator don't.
Now, in the cases where the numerator and denominator become zero for the same value of x, it means that we can factorize the polynomials and remove the common factor. So there we do not have a hole nor asymptote.
Now, because the denominator becomes equal to zero, this means that we are dividing by a reallly small value, then the quotient will tend to infinity or negative infinity, this means that we will have a vertical asymptote.
Then the correct option is C:
Yes, the function will have either a vertical asymptote or hole for any values that cause the denominator to be equal to zero
If you want to learn more, you can read:
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the markup on a restaurant meal is 250%. a meal cost $7.30 to produce. how much will the customer be charged before tax and tip?
The required amount of money that a customer be charged is, $25.55.
What is mean by Percentage?A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
We have to given that;
The markup on a restaurant meal is 250%.
And, A meal cost $7.30 to produce.
Now, The markup price on the meal is given by,
⇒ 250% of $7.30
⇒ 250/100 × $7.30
⇒ 5/2 × $7.30
⇒ $18.25
Therefore, The amount of money that a customer be charged before tax and tip is,
⇒ $7.30 + $18.25
⇒ $25.55
Learn more about the percent visit:
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an obese man, 5'0 tall and 160 pounds, sets a long-term goal to lose 40 pounds. What is a reasonable benchmark he might set for himself
Answer: Lose 10 pounds in 3 months
Step-by-step explanation: 5'0, 160, 40 ~ 10 > 3 Months
How many deciliters are equivalent to 9 cups? Use the conversion table to find the answer. Round to the nearest tenth.
21.3 dL
42.7 dL
213.3 dL
426.6 d
Answer:
21.3
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Please answer correctly !!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!
Answer:
B. Obtuse Angle
Answer:
b
Step-by-step explanation:
acute is anything smaller than 90 degrees
obtuse is anything bigger than 90 degrees
right is 90 degrees
straight is 180 degrees
Albania is an Eastern European country that uses a currency called the Albanian Lek (ALL). Right now, $1 (1 USD) exchanges for 106.40 ALL. How many dollars (USD) could you exchange for 1,000,000 ALL? Answer: 1,000,000 ALL = _______ USD. Round your answer to two (2) decimal places. *
Answer:
$9398.50
Step-by-step explanation:
Given
[tex]\$1 = 106.40\ ALL[/tex]
Required
Equivalent of 1,000,000 ALL
We have:
[tex]\$1 = 106.40\ ALL[/tex]
and
[tex]\$x = 1000000\ ALL[/tex]
Cross Multiply
[tex]x * 106.40 = 1 * 1000000[/tex]
[tex]106.40x = 1000000[/tex]
Solve for x
[tex]x = 1000000/106.4[/tex]
[tex]x = \$9398.50[/tex] -- Approximated
Plz hurry question in pic
Divide. Write the quotient in lowest terms. 5 2/3 DIVIDED BY 4 HELP ME PLEASE
Answer:
1.425
Step-by-step explanation:
if u round 2/3 up to .7, but if u don't it is 1.4
Answer:
1 5/12
Step-by-step explanation:
Hope this helps
1/6 divided by -2/9
PLEASE HELP!!!
g(r) = -5r+13
g(3)=_______
PLEASE HELP ME URGENT ASAPPPPP PLEASEEEE
Solve for the missing angle.
65
45
0 70
O 65
0 45
0 25
Which number line represents the solution to the inequality
1
+
2
x
<
−
7
?
Answer:
[tex]\boxed {x < -4}[/tex] (Choice D)
Step-by-step explanation:
You first need to solve the following inequality in order to get the actual answer and find the actual graph:
[tex]1 + 2x < -7[/tex]
-Subtract [tex]1[/tex] to both sides:
[tex]1 - 1 + 2x < -7 - 1[/tex]
[tex]2x < -8[/tex]
-Divide both sides by [tex]2[/tex]:
[tex]\frac{2x}{2} < \frac{-8}{2}[/tex]
[tex]\boxed {x < -4}[/tex]
The number line graphed:
Write each of the following numbers as a power with a rational exponent:
2[tex]2\sqrt32[/tex]
Answer:
2^(7/2)
Step-by-step explanation:
Here, we want to write 2√32 as a power with a rational exponent.
That would be 2 * √32
= 2 * 32^1/2
= 2 * 2^5(1/2)
= 2 * 2^5/2
According to law of indices, this becomes the following;
2^(1 + 5/2)
= 2^(7/2)
Rewrite the equation in slope intercept form
3y=2x+15
Answer:
2/3
Step-by-step explanation:
A stem and leaf plot shows the number of kilometers walked for charity. The plot is titled 'Kilometers Walked for Charity.' The numbers 12, 13, 14, 15, 16, and 17 are in a vertical column to the left of a vertical line. · On the same line as 12 but on the right of the vertical line are the numbers 3, 3, 6, 7, 9, and 9. · On the same line as 13 but on the right of the vertical line are the numbers 1, 1, 4, 5, and 5. · On the same line as 14 but on the right of the vertical line are the numbers 0, 0, 2, 3, 3, 8, 8, and 9. · On the same line as 15 but on the right of the vertical line are the numbers 2, 2, 2, 2, 2, 3, 5, 5, and 7. · On the same line as 16 but on the right of the vertical line are the numbers 4, 5, 5, 9, and 9. · On the same line as 17 but on the right of the vertical line are the numbers 3 and 5. The key to the stem and leaf plot identifies that 12 vertical line 3 means 12.3. a. Describe how to find the range of the data set. b. Find the range.
Answer:
For part A: Range is difference between the highest value and lowest value of the data set.
For part B: Range is 5.2
Step-by-step explanation:
For part A:
Range of a data set is difference between the highest value and lowest value of the data set.
For part B:
From stem and leaf and it's key ,we can write our data set as
12.3,12.3,12.612.7,12.9,12.9,13.1,13.1,13.4,13.5,13.5,14.0,14.0,14.2,14.3,14.3,14.8,14.8,14.9,15.2,15.2,15.2,15.2,15.2,15.3,15.5,15.5,15.7,16.4,16.5,16.5,16.9, 16.9, 17.3,17.5.
Lowest value of data set = 12.3
Highest value of the data set =17.5
So, range = highest value- lowest value= 17.5-12.3 =5.2
Factor and solve each quadratic equation.
Show your work
-t^2 + 12t = 32
Answer:
t = 8, t = 4
Step-by-step explanation:
-t² + 12t = 32
-t² + 12t - 32 = 0 (Subtracted 32 on both sides.)
t² - 12t + 32 = 0 (Divided by -1 on both sides.)
(t - 8)(t - 4) = 0 (Factor.)
t - 8 = 0 t - 4 = 0
t = 8 t = 4
6 = 2(y + 2) Y = I
pls
IS
Write an equation and solve.
5. A personal trainer charges $75 for a consultation, and then
$50 per visit. If you have $325 to spend on personal training,
how many visits (v) will you have?
Answer:
search up on google
Step-by-step explanation:
not hard
La distancia de la Tierra a la Luna es de doscientos treinta y ocho mil novecientas millas. Escribe la distancia en forma estándar y forma expandida.
Answer: two hundred thirty-eight thousand nine, (2 x 100,000) + (30 x 10,000) + (8 x 1,000) + (9 x 1). doscientos treinta y ocho mil nueve, (2 x 100.000) + (30 x 10.000) + (8 x 1.000) + (9 x 1).
Step-by-step explanation: I learned it already.
describe how the graphs of y=1/2x +7 is the same and different from the graph of y= 12x + 7
Answer:
the slope of the line for y=12x+7 is steeper compared to the other equation
they both have the same y-intercept of y=7
Step-by-step explanation:
i just plugged it into desmos and looked at the graph
hope this helps <3
Find m<LMN if m<LMT=23 degree and m<TMN=144 degree
Answer:
∠LMN = 167°
Step-by-step explanation:
∠LMT = 23°
∠TMN = 144°
∠LMN = ∠LMT + ∠TMN
∠LMN = 23° + 144°
∠LMN = 167°
-6(-4u-x+5) Use the distributive property to remove the parentheses.
Answer:
ndhehenejejeuehehehebebeejjwjwnwbwbsbsbbsbsbdbbbdbdbdbdbb
What do you mean explain so we can solve !!!!!!
Hurry :(
The length of a rectangular door is 35 inches, and the width of the door is 12 inches.
What is the length of a diagonal of this door in inches?
Answer:
The answer is d=37 in
Step-by-step explanation:
Need help Plz 10 points
Answer:
10 and 15
Step-by-step explanation:
hope this helps
Answer:
Im pretty sure it would just be the 10 miles and the 15 miles
Step-by-step explanation:
Hope this helps. Please give me brainliest.
Evaluate a−b if a=−2.5 and b=25 . Write your answer in simplest form.
Answer:
-27.5
Step-by-step explanation:
-2.5-25=
-27.5
also for a test , due in a couple of hours .
Answer:
8 d)
Step-by-step explanation:
2x -10 = 3x +6 -4x +8
3x=24
x=8
Answer:
x = 8 (d)
Step-by-step explanation:
Expand
2x - 10 = 3x + 6 - 4x + 8
Collect like terms
2x - 3x + 4x = 6 + 8 + 10
3x = 24
Divide both sides by 3 to make x on its own
x = 8
At Penny's Diner, two eggs
with bacon cost $3.15 and
each cup of apple juice cost
$1.25. At these rates, how
much would breakfast cost?
Identify your two variables
write system of equation
Answer:
$4.04
Step-by-step explanation:
$3.15+$1.25=y
y is our variable
so,3.15
+ 1.25
4.04
Solve for x -4<11-3x
Answer:
( - infinity, 3.75) x < 3.75
Step-by-step explanation:
x - 4 < 11 - 3x
x < 15 -3x
4x < 15
x < 3.75
My brain feels very much fried can someone help me
Answer:
22.33
Step-by-step explanation:
Answer:
0.37703703703704
Step-by-step explanation: