Answers
The rational function graphed in this problem is defined as follows:
f(x) = -3(x - 2)/(x² - x - 6).
How to define the rational function?The vertical asymptotes of the rational function in this problem are given as follows:
x = -2 and x = 3.
Hence the denominator of the rational function is given as follows:
(x + 2)(x - 3) = x² - x - 6.
The zero of the rational function is given as follows:
x = 2.
Hence the numerator is given as follows:
a(x - 2).
In which a is the leading coefficient.
Hence:
f(x) = a(x - 2)/(x² - x - 6).
When x = 0, y = -1, hence the leading coefficient a is obtained as follows:
-1 = -2a/-6
-1 = a/3
a = -3.
Hence the function is:
f(x) = -3(x - 2)/(x² - x - 6).
More can be learned about rational functions at https://brainly.com/question/1851758
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Related Questions
If Cody has 11 dimes and quarters in his pocket, and they have a combined value of 170 cents, how many of each coin does he have?
Answers
Answer:
12 dimes and 2 quarters
Step-by-step explanation:
12 dimes is 120 cents and 2 quarters is 50 cents that perfectly gives us 170 cents. As worded if he has 11 Dimes and the rest is quarters and we want 170 cents then it's impossible. 11 dimes is going to be 110 cents plus 2 quarters is 160 cents or plus 3 quarters is going to be 185 cents. therefore you are either short or over the money.
PLEASE ANSWER THE QUESTION IN THE PICTURE BELOW
Answers
9514 1404 393
Answer:
32 in²
Step-by-step explanation:
The area is given by ...
A = bh
A = (8 in)(4 in) = 32 in²
The area of the parallelogram is 32 square inches.
Annette had a 24 karat gold necklace with a mass of 2.3grams. she sold for $123.51.What was the price per gram of her necklace?
Answers
Answer:
$53.70 per gram
Step-by-step explanation:
Just divide the price (123.51) by the amount of grams (2.3) to get your answer, which should be $53.70 per gram
Hopefully this helps - let me know if you have any questions!
REALLY NEED HELP WITH THIS!!!
Answers
Answer:
9
Step-by-step explanation:
Solve the equation
Area =1/2(heightxbase)
27=1/2(Xx6)
54=6x
9 =x
Find the common ratio of the geometric sequence 7,63,567, ...
Answers
Answer:
Step-by-step explanation:
Answer: 9
Step-by-step explanation: a, ar, ar^2... a=7, ar=63. solving with substitution gives the common ratio of 9!
Do the following conditions make a unique triangle, more than one triangle or no triangle possible?
60°, 30°, 90°
a
unique triangle
b
more than one triangle
c
no triangle possible
Answers
Answer:
a- unique triangle
Step-by-step explanation:
30°-60°-90° is a special triangle so the answer is a
PLEASE PROVIDE REASONING AND SHOW WORK TO
SUPPORT YOUR ANSWER.
Which values are NOT part of the solution set of the inequality shown?
A.-3
B. -6
C.-7
D. -8
E. 6
F.7
Answers
Answer:
A, b, e, f
................
What is 1 1/4 + 3 3/8 = pls show your work
Answers
Answer:
Exact form: 37/8 Decimal form: 4.625 Mixed number form: 4 5/8
Step-by-step explanation:
dd the whole numbers first.
4+\frac{1}{4}+\frac{3}{8}
4+
4
1
+
8
3
2 Find the Least Common Denominator (LCD) of \frac{1}{4},\frac{3}{8}
4
1
,
8
3
. In other words, find the Least Common Multiple (LCM) of 4,84,8.
LCD = 88
3 Make the denominators the same as the LCD.
4+\frac{1\times 2}{4\times 2}+\frac{3}{8}
4+
4×2
1×2
+
8
3
4 Simplify. Denominators are now the same.
4+\frac{2}{8}+\frac{3}{8}
4+
8
2
+
8
3
5 Join the denominators.
4+\frac{2+3}{8}
4+
8
2+3
6 Simplify.
4\frac{5}{8}
4
8
5
how does a toad reassemble a fish
Answers
Answer:
they do- here's how (i think)
Step-by-step explanation:
a toad has similar features- think about it.
a toad has gills since it needs to stay underwater for the time being
so do fish
they have a tail to let them swim around and direct themselves to which area they're going to.
fish also do the same!
hope this helps!:)
ANSWER !!
ILL GIVE 40 POINTS !!
DONT SKIP :((
PLUS BRAINLIEST !
Answers
Answer:
864 inches cubed
Step-by-step explanation:
Since the volume is the 3 units multiplied together, 16 x 9 x 6 is 864.
repersent 3 and 1/3 on a number line
Answers
Answer:
Step-by-step explanation:
To address 1/3 on a number line, we split the hole among O and An into 3 equivalent parts. Leave T and Q alone the marks of division. At that point, T addresses 1/3 and Q addresses 2/3, since 2/3 methods 2 sections out of 3 equivalent parts as demonstrated beneath. By utilizing a similar system, point O addresses 0/3 and point An addresses 3/3.
Another way of saying it is:
In portrayals of divisions on a number line we can show parts on a number line. To address 1/2 on the number line, draw the number line and imprint a direct A toward address 1.
Presently, split the hole among O and An into halves. Leave T alone the mark of division. At that point, point T addresses 1/2.
Portrayals of Fractions on a Number Line
To address 1/3 on a number line, we split the hole among O and An into 3 equivalent parts. Leave T and Q alone the marks of division. At that point, T addresses 1/3 and Q addresses 2/3, since 2/3 methods 2 sections out of 3 equivalent parts as demonstrated underneath.
Portions on a Number Line
By utilizing a similar technique, point O addresses 0/3 and point An addresses 3/3
brainliest?
Use the distributive property to write the next step in simplifying the equation.
Use the asterisk symbol ( * ) to represent multiplication. Do not multiply
factors fully and do not use spaces.
-1(3 + x) = 27
Answers
Answer:
-1*3-1*x=27
Step-by-step explanation:
Which type of parent function does the equation f (x) = a represent?
Answers
Parent functions are the base function of a family function. [tex]f(x) = \sqrt x[/tex] is the parent function of the square root function
Given that:
[tex]f(x) = \sqrt x[/tex]
The parent function of a cube root function is:
[tex]f(x) = x^3[/tex]
The parent function of a reciprocal function is:
[tex]f(x) = \frac 1x[/tex]
The parent function of an absolute function is:
[tex]f(x) = |x|[/tex]
The parent function of a square root function is:
[tex]f(x) = \sqrt x[/tex]
By comparing the above parent functions to [tex]f(x) = \sqrt x[/tex], we can conclude that [tex]f(x) = \sqrt x[/tex] is the parent function of a square root function.
Hence, (d) is true
Read more about parent functions at:
https://brainly.com/question/17939507
Look at the image for the question:
Answers
9514 1404 393
Answer:
te, tm, (m-e), t
Step-by-step explanation:
The problem statement tells you how to interpret the expressions and their parts.
Swap the top two expressions on the right and the list will be in the appropriate order:
tetmm-et2. Find the length of a side of a square if its area is:
a. 81 square inches
b. cm
c. 0.49 square units
d. m² square units
Answers
Answer:
9 inches ; 0.7 units ; m units
Step-by-step explanation:
The area of a square is give as :
The square of the side length of the square ; that is ;
Area of square = s² ;
Where s =! Side length of the square
Hence ;
A square with area = 81 in²
Length of its side = sqrt(81) = 9 inches
Area of square = 0.49 unit²
Length of its side = sqrt(0.49) = 0.7 units
Area of square = m² unit²
Length of its side = sqrt(m²) = m units
True or false? if Matrix A is 3 X 2 and matrix B is 2 X 17 matrix, you can do A X B
A. True
B. False
Answers
24 x 2y = 210
and
2x + 2 =22
Work out the value of x and the value of y
Answers
Answer:
2x + 2 = 22
subtract 2 from both sides
= 2x = 20
x = 10
=======
24 x 2y = 210
subtract 24 on both sides
2y = 176
y = 88
Answer:
X=20
Y=\frac{35}{8x}
Step-by-step explanation:
Six children want to share five chocolate bars fairly. How much chocolate will each child get?
Answers
Answer:
0.8 of a chocolate bar
Step-by-step explanation:
Bc 5 divided by 6 is 0.8
The number of students that participated in sports last year was 100. This year there are 140 students participating in sports. What is the percent of increase in the number of students participating in sports from last year to this year? __________%
Answers
Answer: 40%
Step-by-step explanation:
HOPE THIS HELPS ^^
40 POINTS !! 40 POINTS !!
PLEASE HELP , DONT SKIP !
NO LINKS OR FILES.
Answers
I believe it's 4 as 32 fluid ounces is 1 quart
Answer:
ok so you said 40 points but theres only 5 points....xD anyways,
we know that 4 would be as 32 fluid ounces.
that would equal 1 quart.
hope this helps! best of luck!!!!
Joe's math homework took 20 minutes to complete. If Joe finished his homework at 8:40 P.M., what time did he start his homework?
Answers
What is the median of 2,1,2,5,3
Answers
Answer:
2
Step-by-step explanation:
Rearrange the data set in numerical order: 1, 2, 2, 3, 5 and take the number in the middle.
ANSWER !!
ILL GIVE 40 POINTS !!
DONT SKIP :((
PLUS BRAINLIEST !
Answers
Answer:
Step-by-step explanation:
Mendeleev was the first to organise elements based on their similarities *
True
False
Answers
Answer: True
Step-by-step explanation:
40 POINTS !! 40 POINTS !!
PLEASE HELP , DONT SKIP !
NO LINKS OR FILES.
Answers
Answer:
<5,2>
Step-by-step explanation:
NEED HELP ASAP WILL GIVE BRAINLIEST REAL ANSWERS ONLY PLZ
Answers
Answer:
D
Step-by-step explanation:
They are trying to see how long it takes people to complete the writing portion of the test.
Laurie needs at least 40 pounds of topsoil for a new flower bed. Each bag of topsoil is 200 ounces. Laurie determines that if she buys 3 bags of topsoil she will have enough for the flower bed. Is Laurie correct? Why or why not?
A.Laurie is not correct because the weight of 1 bag of topsoil is equivalent to only 10 pounds.
B.Laurie is correct because 200 ounces is more than 40 pounds.
C.Laurie is correct because the weight of 3 bags of topsoil is exactly 40 pounds.
D.Laurie is not correct because the weight of 3 bags of topsoil is less than 40 pounds.
help i guess
Answers
Find the measure of the arc or angle indicated.
Find the meausre of arc HG.
Answers
Answer:
the measure of arc HG is 136
What's The Strangest Thing In Your Refrigerator?
Answers
Answer:
a bottle of eye juice lol no explanation
Step-by-step explanation:
An investigator wishes to estimate the mean number of flight hours of pilots who fly for regional airlines. Assuming that the standard deviation of the number of hours is 120 hours, the minimum sample size needed in order to construct a 99% confidence interval for the mean number of hours of flight time of all such pilots, to within 50 hours, is about
Answers
Answer:
The minimum sample size needed is 39.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.99}{2} = 0.005[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.005 = 0.995[/tex], so Z = 2.575.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
Assuming that the standard deviation of the number of hours is 120 hour
This means that [tex]\sigma = 120[/tex]
The minimum sample size needed in order to construct a 99% confidence interval for the mean number of hours of flight time of all such pilots, to within 50 hours, is about?
The minimum sample size needed is n.
n is found when [tex]M = 50[/tex]
So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]50 = 2.575\frac{120}{\sqrt{n}}[/tex]
[tex]50\sqrt{n} = 2.575*120[/tex]
[tex]\sqrt{n} = \frac{2.575*120}{50}[/tex]
[tex](\sqrt{n})^2 = (\frac{2.575*120}{50})^2[/tex]
[tex]n = 38.19[/tex]
Rounding up
The minimum sample size needed is 39.