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:
https://brainly.com/question/4084552
A square has four right angles and four equal sides, so lt Is a regular polygon.
OTrue OFalse
Answer: True
Step-by-step explanation:
because a polygon has equal sides and are easy to measure.
domain and range of the function
how many solution 7(y+3)=5y+8
Answer:
there is only one it is y=-6.5
Step-by-step explanation:
For |2x + 1|, the expressions 2x + 1 and –2x – 1 are both zero when _____
Answer:
My grade hasn't even went over this yet,I-
qwq
i feel like i'm du'mb tbh
Find the distance between the two points in simplest radical form.
(3,9)and (0,2)
Answer:
7.62
Step-by-step explanation:
use distance formula
Which is equivalent to 12/(323)
Answer:
38,76
Step-by-step explanation:
2.8 in between 3 and 4. I need the answer quick please
Answer:
no
Step-by-step explanation:
2.8 is between 2 and 3.
Answer: False
2 is actually between 2 and 3.
It is near 3, only 2 steps away on a number line.
The answer is false.
Hope this helps!
please help me with these questions
will give the brainliest
Urgent
plz answer correctly
help!!!!!!!!!!
need explanation
Help help help ASAP I need help
Answer:
20
Step-by-step explanation:
Plug in 3 everywhere there is a y and solve.
(3)^2+2(3)+5
9+6+5
20
Question 1 (4 points)
Simplify.
9 to the power of 2 and 9 to the power of 7
is a letter or symbol that represents the unknown value (term)
Variable
Step-by-step explanation:
Find the missing measure x° 65°
The ratio of books
to magazines in the
children's section at the
library is 5-2. If there
are 225 books, calculate
the number of
magazines.
50 magazines
because ratio is division and 225/5 is 25 and you multiply the 2 by 25 and you get 50
There are 64 magazines in the library.
What is mean by Ratio?A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y. Where, x and y are individual amount of two quantities. And, Total quantity gives after combine as x + y.
We have to given that;
The ratio of books to magazines in the children's section at the library is 5: 2.
Let number of books = 5x
And, Number of magazines = 2x
Here, There are 225 books in the library.
Hence, We can formulate;
⇒ 5x + 2x = 225
⇒ 7x = 225
⇒ x = 32
Hence, Number of magazines = 2x
= 2 × 32
= 64
Learn more about the ratio visit:
https://brainly.com/question/12024093
#SPJ2
pls help me out on this!
Answer:
[tex]=-1\frac{5}{9}[/tex]
Step-by-step explanation:
We want to write:
[tex]-1.\bar{5}[/tex]
As a mixed number in the simplest form.
We can use the following algebraic trick. First, we can ignore the negative and add it on the very end. So, we have the number:
[tex]1.55555...[/tex]
Let's let this equal to n. So:
[tex]1.55555...=n[/tex]
Now, we will multiply n by 10^x for the number of repeating digits x.
There is only one digit repeating (the 5). So, we will multiply both sides by 10^1 or just 10. This yields:
[tex]15.55555...=10n[/tex]
Now, we will subtract n from both sides. This yields:
[tex]15.5555...-n=10n-n[/tex]
On the right, we will just get 9n.
However, let's replace n with 1.5555... on the left. This yields:
[tex]15.5555...-1.5555...=9n[/tex]
All of the repeatings 5s will cancel. 15-1 is 14. So:
[tex]14=9n[/tex]
Now, divide both sides by 9. So, our n is:
[tex]n=\frac{14}{9}[/tex]
And since we originally set n to be 1.5 repeating, this is equivalent to:
[tex]n=1.\bar{5}=\frac{14}{9}[/tex]
And now, we can add back the negative:
[tex]-1.\bar{5}=-\frac{14}{9}[/tex]
We can rewrite this as:
[tex]=-(\frac{9}{9}+\frac{5}{9})[/tex]
So, as a mixed fraction, our decimal is:
[tex]=-1\frac{5}{9}[/tex]
And we're done!
What ray is between OC and OA?
Answer:
ob
Step-by-step explanation:
Answer:
OB
Step-by-step explanation:
you can see the ray that is in between OC and OA is OB
In which of the number lines does the plotted point represent a number greater than - 1 1/2? Check all that apply.
albert bought a jacket for $34.35, a pillow for $11.75, and a glove for $16.25. albert paid $60 and the rest he borrowed from a friend. If albert got $7.65 in change from the cashier, how much did albert borrow from his friend to pay for all the items?
Answer:
$10
Step-by-step explanation:
add all prices subtract $60 then add 7.65
Sketch a graph of the function f(x) = - (x+2) (x-4) (x-6) by finding the zeroes and determining
the sign of the values of the function between zeroes.
what is the awnser to r(−2)= ?
Answer:
r=2 i think
Step-by-step explanation:
Answer:
Hi there!
If there was supposed to be an attached problem to fill -2 into, PLEASE ATTACH IT!
If not, x= -2 in r(-2)
How many gallons of 25% alcohol solution and 40% alcohol solution must be mixed to get 6 gallons of 30%
alcohol solution?
Answer:
amt of 25% solution to mix=6 gal
amt of 40% solution to mix=3 gal
Step-by-step explanation:
let x=amt of 25% solution to mix
9-x=amt of 40% solution to mix
25%x+40%(9-x)=30%*9
.25x+3.6-.40x=2.7
.15x=0.90
x=6
9-x=3
3/8 + (-7/8) As a fraction.
Answer:
7/8 x 3/8 = 21/64 in fraction form. 7/8 x 3/8 = 0.3281 in decimal form.
Step-by-step explanation:
there you go have a good day
Just add across. (3+-7)/8 = -4/8, or -1/2
Evaluate the square root of 677.
Answer:
26.019
Step-by-step explanation:
Answer:
26.01
Step-by-step explanation:
3.9-21 helpp please kikiki
Answer:
3.9-21=-17.1
Step-by-step explanation:
3.9-21
3.9+-21
=-17.1
Please help . Thank you :)
Answer:
A.) 53°
Step-by-step explanation:
SPR + RPQ =90°
37° + RPQ = 90°
37° - 37° + RPQ = 90° - 37°
RPQ = 53°
help me 4 + 2p = 10 ( 3/5p - 2)
Tell whether the value is a solution of the inequality.
yes
no
Answer:
Yes I believe so, not 100% sure.
Step-by-step explanation:
helpp ! look at the pic help me asap
What is required of a proportional relationship that is not required of a general line relationship?
Answer:
Step-by-step explanation:
Pertains to y-intercept is then 0.
It introduces the relationship between two variables and is called correlation. Proportionality or variation is state of relationship or correlation between two variables It has two types: direct variation or proportion which states both variables are positively correlation. It is when both the variables increase or decrease together. On the contrary, indirect variation or proportion indicates negative relationship or correlation. Elaborately, the opposite of what happens to direct variation. One increases with the other variables, you got it, decreases. This correlations are important to consider because you can determine and identify how two variables relates with one another. Notice x = y (direct), y=1/x (indirect)
i need answer the right one cuz idk it
Answer:-6x^2-20x
Step-by-step explanation: multiply -2 by all factors
1. Sketch a graph of f(x) = (x - 2)(x + 4). Find the y-intercept, x-intercept(s), and the vertex of the graph.
Answer:
y=x2+2x−8
this is all I got sorry
