Answer:
[tex] \frac{4(x - 5)(x + 7)(x - 12)}{(x + 1)(x)(x - 12)} [/tex]
Step-by-step explanation:
A rational function is
[tex] \frac{p(x)}{q(x)} [/tex]
where q(x) doesn't equal zero.
If p is a asymptote, or hole at that value, then we will use
[tex](x - p)[/tex]
Step 1: We have asymptote as 0 and -1 so our denomiator will include
[tex](x - 0)(x - ( - 1)[/tex]
Which is
[tex](x)(x + 1)[/tex]
So our denomator so far is
[tex] \frac{p(x)}{x(x + 1)} [/tex]
Step 2: Find Holes.
Since 12 is the value of the hole,
[tex](x - 12)[/tex]
is a the binomial.
This will be both on the numerator and denomator so qe have
[tex] \frac{(x - 12)}{x(x + 1)(x - 12)} [/tex]
Step 3: Put the x intercepts in the numerator.
Since 5 and -7 is the intercepts,
[tex] \frac{(x - 12)(x - 5)(x + 7)}{x(x + 1)(x - 12)} [/tex]
Step 4: Horinzontal Asymptotes,
Multiply the numerator and denomiator out fully,
[tex] \frac{ {x}^{3} - 10 {x}^{2} - 59x + 420 }{ {x}^{3} - 12 {x}^{2} + x - 12} [/tex]
Take a L
look at the coefficients,
Notice they have the same degree,3, this means if we divide the leading coefficents, we will get our horinzonral asymptote.
Multiply the numerator by 4.
[tex] \frac{4(x - 12)(x - 5)(x - 7)}{x(x + 1)(x - 12)} [/tex]
Above is the function,
To earn a B on his quiz, John needs to get between 80%-89% of the questions correct. There are 30 questions on the quiz. What is the least number of questions John needs to get correct for his grade to be a B
Answer:
24 he can get 24 at the very minimum
Step-by-step explanation:
What the value of q?
Step-by-step explanation:
again ?
out of the total of 70°, 30° are taken by the first angle.
so, that leaves 70 - 30 = 40° for the second angle.
q = 40°
is there still something unclear about this ? please let me know.
La integral indefinida de la función h(x)=2x+5x4
Answer:
x^2 + x^5 + C.
Step-by-step explanation:
∫2x + 5x^4 dx
= 2 * x^2/2 + 5 * x^5/5 + C
= x^2 + x^5 + C.
Describe how
(2^3)(2^-4)
can be simplified.
Answer:
Add the exponents and keep the same base. Then find the reciprocal and change the sign of the exponent.
Step-by-step explanation:
your welcome
HURRYYYYY 100 POINTS The movie theater has 25 1/2 cups of popcorn. There are 15 people who ordered popcorn. Each person who ordered popcorn will receive the same amount. How much popcorn will each person get?
Answer:
1.7
Step-by-step explanation:
25.5 divided by 15
Which of the following terms describes the 3 in the expression 3x+7?
It's Coeficent
,.,.,..,.,
Two companies provide home Internet services.
The first company charges a one-time fee of $55 for the equipment, plus $30 per month for the service.
The second company charges a one-time fee of $25 for the equipment, plus $45 per month for the service.
In how many months will the services of the two companies cost the same?
Answer:
2 months
Step-by-step explanation:
55+30x=25+45x
55-25=45x-30x
30=15x
x=2
Please I need your help
give an equation for the graph
Answer:
y = -4
x = 1
Step-by-step explanation:
soo you could memorize if you want that if its a vertical line it will be x = __
or if its a horizontal line is y = ___
but i like doing ummm so when you look at the first line nothing changes to y, so y wil be always -4 . its the same for the vertical line, the x stays the same.
Find the distance between the two points rounding to the nearest tenth (if necessary). (-8,-6) and (-3,-4)
Answer:
9.8
Step-by-step explanation:
The distance is calculated using the formula d=√(x2-x1)²+(y2-y1)².
The first thing to do is subtract to find the necessary values.
X 8 - 4 = 4
Y -3 - 6 = -9
d=√(4)²+(9)²
d=√(16 + 81)
d=√97
d = 9.8488578018 or 9.8
Write an essay comparing the two arguments made about whether dodgyball should be played in school. Use textual evidence from the article to support your answer. TITLE- A Dodgy call AUTHOR Tum Jones Introduction Hook- Bridge-
Answer:
(This is not math)
Step-by-step explanation:
I think that dodgeball should be allowed un our school because it gets our legs moving and lets us extrasice and practice our swiftness
.
If two complementary angles are placed side by side, they form a(n)
angle. Side-by-side angles that share a ray and a vertex are called
angles.
of comnlementary angles you can solve for the
Answer:
Two angles whose sides are opposite rays are called vertical angles. Two coplanar angles with a common side, a common vertex, and no common interior points are called adjacent angles.
Further explanation
Adjacent Angles are two angles that share a common vertex, a common side, and no common interior points. They share a vertex and side, but do not overlap. The example is shown in the picture below.
Where ∠1 and ∠2 are adjacent angles, ∠ABC and ∠1 are NOT adjacent angles because ∠ABC overlaps ∠1.
Vertical Angles are two angles whose sides form two pairs of opposite rays (straight lines). Vertical angles are located across from one another in the corners of the "X" formed by the two straight lines. The example is shown in the picture below.
Where ∠1 and ∠2 are vertical angles, ∠3 and ∠4 are vertical angles, Vertical angles are not adjacent. ∠1 and ∠3 are not vertical angles (they are a linear pair) and Vertical angles are always equal in measure.
Step-by-step explanation:
Mathematics pls help 4 questions will give brain to best answer
What is the mean for the data set, to the nearest whole number?
Answer:
[1] 8
[2] 10
[3] 8.5
[4] 8
Step-by-step explanation:
[1] What is the mode of the data set?
5,8,8,8,8,9,9,9,10,10
Answer = 8
Explanation: Mode = Appears Most
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
[2] How many people were in the sample?
Answer = 10
Explanation:
Each x = 1 person
Hence, it a total of 10 "x" (10 People)
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
[3] What is the median of the data set?
5,8,8,8,8,9,9,9,10,10
Answer = 8.5
Explanation:
Median = Middle
5,8,8,8,8,9,9,9,10,10
5,8,8,8,8,9,9,9,10,10
8 + 9 = 17/2 = 8.5
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
[4] What is the mean for the data set, to the nearest whole number?
Answer = 8
Explanation:
Mean = Add up all data values to get the sum and Count the number of values in your data set. Divide the sum by the count
5 + 8 + 8 +8 + 8 + 9 + 9 + 9 + 10 + 10 = 84/10=8.4
8.4 Round = 8
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
~Lenvy
Divya spends all of her free time playing with her building blocks. She owns building block sets with 333 pieces, 555 pieces, and 101010 pieces. Divya knows she owns 555 sets with 555 pieces and 222 sets with 101010 pieces. She also knows that she averages 555 pieces per set. This information is summarized in the table below
Answer:
5 sets
Step-by-step explanation:
The average number of pieces per set is the ratio of the total number of pieces to the total number of sets.
Let x represent the number of 3-piece sets. Then the total number of pieces is ...
3x +5(5) +10(2) = 3x +45
The total number of sets is ...
x +5 +2 = x +7
We want the ratio of these numbers to be 5 pieces per set:
(3x +45)/(x +7) = 5
3x +45 = 5x +35 . . . . . multiply by (x+7)
10 = 2x . . . . . . . . . . subtract (3x+35)
5 = x . . . . . . . . . divide by 2
Divya owns 5 sets with 3 pieces.
_____
Alternate solution
Each 10-piece set has 5 more pieces than average, so the two of them total 10 more pieces than average.
Each 3-piece set has 2 fewer pieces than average. The total number of 3-piece sets must have a total of 10 fewer pieces than average in order to balance the excess of the 10-piece sets. That is, there must be 10/2 = 5 of the 3-piece sets to have a total lof 10 fewer pieces than average.
Altogether, the differences from average must total zero.
zeros.
Find a polynomial of the specified degree that has the given
Degree 5; zeros -4, -3, 0, 4,3
Answer:
f(x)=x(x+4)(x+3)(x-4)(x-3)
Step-by-step explanation:
hello :
an polynomial is : f(x)=(x+4)(x+3)(x-0)(x-4)(x-3)
means : f(x)=x(x+4)(x+3)(x-4)(x-3)
If you can run a mile in 7 minutes, how fast are you running?
1: The number of hours, h, spent studying and the score s, on a test (find the independent variable and the dependent variable.
Answer:
independent - number of hours (h)
dependent - the score (s)
Step-by-step explanation:
The difference of two numbers is 8. What two numbers will minimize the product? The numbers are ___ and ____.
Answer:
-4 and 4
Step-by-step explanation:
Have a good day.
Answer:
answer is -4 and 4 ):(
Step-by-step explanation:
3⋅2t
a. Evaluate the expression when t is 1.
b. Evaluate the expression when t is 4.
pls hurry its due in 5 mins
Answer:
Step-by-step explanation:
a) substitute t = 1 in the expression
3 - 2t = 3- 2*1
= 3 - 2
= 1
b) substitute t = 4 in the expression
3 - 2t = 3 - 2*4
= 3 - 8
= (-5)
(150 Points If Ur right.) Quadrilateral LMNO is similar to quadrilateral PQRS. Find the measure of side RS. (ROUND PLEASE.)
Answer: 39.7
Step-by-step explanation:18/55 = 13/x you can get x by solving for it.
Help picture below problem 16
The Pythagorean theorem is the idea that the sum of the two legs which are both squared is equal to the hypotenuse's length squared.
*look at the image I attached for a better explanation
By looking at the picture, we are missing the leg's length, and by using the Pythagorean theorem, we get the equation
[tex]?^2+9^2 = 16^2\\?^2 + 81=256\\?^2 = 175\\? = 13.2[/tex]
Thus the missing side length is 13.2 cm
Hope that helps!
Jackie has three pieces of ribbon Two of the pieces are q.75 inches in length and the other piece is 6.8 inches long. What is the combined length of Jackie's ribbons?
Answer:
7.55 inches
Step-by-step explanation:
Add the two values together:
0.75 + 6.8 = 7.55
The combined length of Jackie's ribbons is 7.55 inches!
i am confused please help
Answer:
volume = lenght x width x height
v= 12x20x14
v=3,360 in³
Twenty-five students were asked to rate—on a scale of 0 to 10—how important it is to reduce pollution. A rating of 0 means “not at all important” and a rating of 10 means “very important.” Here is a dot plot of their responses. Explain why a rating of 6 is not a good description of the center of this data set.
Considering the dot plot, we have that only 7 of the 25 measures are ratings of at most 6, that is, 6 is less than both the mean and the median of the distribution, hence it is not a good description of the center of this data set.
What is a dot plot?A dot plot is a graph shows the number of times each measure appears in the data-set.
From the plot given in this exercise, it is found that only 7 of the 25 measures are ratings of at most 6, that is, 6 is less than both the mean and the median of the distribution, hence it is not a good description of the center of this data set.
More can be learned about dot plots at https://brainly.com/question/24912483
Ronnie raises chickens and pigs. He has 220 animals. He counted 640 legs. How many chickens does Ronnie have? Explain your thinking.
Answer:
f all his animals were pigs, there'd be 880 legs, There are 240 legs missing which represents 120 chickens (so he has 220 - 120 100 pigs.)
Check: (120 x 2) + (100 x 4) = 240 + 400 = 640 QED
pls solve this ,urgent no spam
Answer:
Question 3
Given expression:
[tex]\sf \left(\dfrac{-8}{9} \times \dfrac{1}{-5}\right)+\left(\dfrac{-8}{9} \times \dfrac{-7}{11}\right)[/tex]
Both parentheses share a common term.
To factor out a common term: ab + ac = a(b + c)
[tex]\textsf{Factor out the common term }\dfrac{-8}{9}[/tex]
[tex]\sf \implies\dfrac{-8}{9} \times \left(\dfrac{1}{-5}+\dfrac{-7}{11}\right)[/tex]
-------------------------------------------------------------------------------------------------
Question 4
To calculate the amount of money Rajni had to begin with, sum the three amounts she spent:
[tex]\sf \implies total=10\frac14+25\frac34+16\frac12[/tex]
As [tex]\sf a\frac{b}{c}=a+\frac{b}{c}[/tex], then:
[tex]\sf \implies 10+\frac14+25+\frac34+16+\frac12[/tex]
Collect and sum the whole numbers:
[tex]\sf \implies (10+25+16)+\frac14+\frac34+\frac12[/tex]
[tex]\sf \implies 51+\frac14+\frac34+\frac12[/tex]
As [tex]\sf \frac14+\frac34=\frac44=1[/tex], then
[tex]\sf \implies 51+1+\frac12[/tex]
[tex]\sf \implies 52+\frac12[/tex]
[tex]\sf \implies 52\frac12[/tex]
Help please anybody?
Answer:
.................
216cm^2
Step-by-step explanation:
brainliest please
Elise had 1/4 of an apple pie. She gave 1/4 of what she had to her friend Danny. What fraction of the whole pie did Danny get?
The answer to your question is =
Danny got 1/16 of the whole pie
Roberto's science grade is calculated using a weighted average. Quizzes are worth 25%, homework is worth 10%, unit tests are worth 30%, and labs are worth 35%.
Roberto earned an average of 94% on his quizzes, 99% on his homework, 92% on his unit tests, and 94% on his labs.
What is Roberto's final science grade?
93.3%
93.9%
94.8%
95.3%
Answer: the answer is 93.9
I hope this helps
Step-by-step explanation:
i know it its on k12
Answer:
93.9
Step-by-step explanation: I took the k12 test
Jessica bought a $30 outfit for $17. What percent discount did she receive?
Around 57%
Step-by-step explanation:17 / 30 = .56666666...
Move two decimal places to the left;
56.66666...
Estimate: 57%
Answer:
43.33%
Step-by-step explanation:
30 - 17 = $13
% discount = 13*100 / 30
= 43.33%