Answers
9514 1404 393
Answer:
domain: x ∉ {-4, 3}range: y ∉ {1}horizontal asymptote: y=1vertical asymptote: x=3Step-by-step explanation:
The expression reduces to ...
[tex]\dfrac{x^2+9x+20}{x^2+x-12}=\dfrac{(x+4)(x+5)}{(x+4)(x-3)}=\dfrac{x+5}{x-3}\quad (x\ne-4)[/tex]
The domain is limited to values of x where the expression is defined. It is undefined where the denominator is zero, at x=-4 and x=3. The graph of the expression has a "hole" at x=4, where the numerator and denominator factors cancel.
the domain is all real numbers except -4 and +3The function approaches the value of 1 as x gets large in magnitude, but it cannot take on the value of 1.
the range is all real numbers except 1As discussed in 'range', there is a horizontal asymptote at y=1. That is the value you would get if you were to determine the quotient of the division:*
(x+5)/(x-3) = 1 + (8/(x-3)) . . . . quotient is 1
There is a vertical asymptote at the place where the denominator is zero in the simplified expression: x = 3.
vertical asymptote at x=3; horizontal asymptote at y=1_____
* For some rational functions, the numerator has a higher degree than the denominator. In those cases, the quotient may be some function of x. The "end behavior" of the expression will match that function. (Sometimes it is a "slant asymptote", sometimes a higher-degree polynomial.)
Related Questions
X 6.4.7-T
Question Help
Assume that females have pulse rates that are normally distributed with a mean of j = 74.0 beats per minute and a standard deviation of o = 12.5 beats per minute. Complete parts (a) through (c) below.
a. If 1 adult female is randomly selected, find the probability that her pulse rate is between 70 beats per minute and 78 beats per minute.
The probability is
(Round to four decimal places as needed.)
Enter your answer in the answer box and then click Check Answer
2 parts
remaining
Answers
Let X be a random variable denoting pulse rates of females as described, with mean µ = 74.0 bpm and standard deviation σ = 12.5 bpm. Then
P(70 < X < 78) = P((70 - µ)/σ < (X - µ)/σ < (78 - µ)/σ)
… = P(-0.32 < Z < 0.32)
… = P(Z < 0.32) - P(Z < -0.32)
… ≈ 0.6255 - 0.3745
… ≈ 0.2510
where Z is normally distributed with mean 0 and s.d. 1.
• • •
Next, you sample 25 females from the population and want to find the probability that their average falls between 70 and 78 bpm. Let [tex]X_i[/tex] denote the pulse rate of the i-th woman from the sample, and let Y be the random variable for the sample mean; that is,
[tex]Y=\displaystyle\sum_{i=1}^{25}\frac{X_i}{25}[/tex]
Recall that a sample of size n taken from a normal distribution with mean µ and s.d. σ has a mean that is also normally distributed with mean µ and s.d. σ/√n.
The mean stays the same, µ = 74.0, but now the s.d. is σ/√n = σ/5 = 2.5. So we have
P(70 < Y < 78) = P((70 - µ)/(σ/5) < (Y - µ)/(σ/5) < (78 - µ)/(σ/5))
… = P(-1.6 < Z < 1.6)
… = P(Z < 1.6) - P(Z < -1.6)
… ≈ 0.9452 - 0.0548
… ≈ 0.8904
Chloe wants to buy soda for a party. He buy a case of 24 cans or he can buy 4 six-packs of cans. The case costs $8.44 and each six-pack costs $2.85. Which is the better buy?
Answers
Answer:
the can that costs 8.44 is a better buy
Step-by-step explanation:
Answer:
the 24 can pack
Step-by-step explanation:
2.85 x 4 = 11.4
$11.4 is more expensive than $8.44
A student invested 1300 in account that pays 4% annual compound interest. He will not make any additional deposits or withdraws. How much will he have in the account at the end of five years?
Answers
Year 2: $1352x0.04 = $54.08 + $1352 = $1406.08
Year 3: $1406.08x0.04 = $56.24 + $1406.08 = $1542.62
Year 4: $1542.62 x 0.04 = $61.70 + $1542.62= $1604.32
Year 5: $1604.32 x 0.04 = $64.17
The Student will have $1668.14 at the end of 5 years. I broke it down by year I hope this helps
NEED HELP IN FINDING AREA
Answers
Answer:
809 km²
Step-by-step explanation:
I can split this into 3 rectangles. One is 25 by 17, another is 24 by 13, and the last one is 6 by 12. (I had gotten 13 for the second rectangle because 25 - 12 = 13.)
(25 * 17) + (24 * 13) + (6 * 12) {17 is the first number after a multiple of 4 (16). As a result, 25 by 17 will end in "25." 25 by 17 is 425.}
425 + (24 * 13) + (6 * 12) {24 by 13 is 312.}
425 + 312 + (6 * 12) {6 by 12 is 72.}
425 + 312 + 72 {From left to right, add 425, 312, and 72 to get 809}
737 + 72
809 km²
The area of this figure is 809 km².
PLEASE HELP 25 POINTS
The topographic map shows the location of a park ranger at Point X when a message is received that an injured hiker needs help at Point Z.
Which answer correctly identifies the elevations of both points on the map?
Point X= 1500m, Point Z= 2000m
Point X= 1550m, Point Z= 1600m
Point X= 1600m, Point Z= 2050m
Point X= 2050m, Point Z= 1600m
Answers
Answer:Point X= 1600m, Point Z= 2050m
Step-by-step explanation:
9)
5.6 yd
5 yd
12 yd
Find the area. (A = 1/2 ( 61 + b2) h)
Answers
Answer:
Area, A = 63.6 square yards
Step-by-step explanation:
A trapezoid refers to a quadrilateral that is convex in shape; as such it has no equal sides and no parallel sides.
Let the height of a trapezoid be h.
Let the top base of a trapezoid be b1.
Let the bottom base of a trapezoid be b2.
[tex] Area \; of \; trapezoid = \frac {1}{2} * (Sum \; of \; nonparallel \; sides) * height [/tex]
Therefore, [tex] Area \; of \; trapezoid = \frac {1}{2} * (b_{1} + b_{2}) * h [/tex]
Given the following data;
Length, b1 = 5 yards
Width, b2 = 5.6 yards
Height, h = 12 yard
To find the area of geometrical shape (trapezoid), we would use the above formula;
A = 1/2 (b1 + b2) * h
Substituting into the formula, we have;
A = ½ * (5 + 5.6) * 12
A = ½ * (10.6)*12
A = 5.3 * 12
Area, A = 63.6 square yards
In simplest form, what fraction of the figure is shaded?
2/3
3/4
5/6
7/8
2. Which fraction is equivalent to 3/9? *
1/4
1/3
2/5
1/2
Answers
Guys help I’m failing math this assignment is 100 points it will boost my grade I’m timed..
Answers
Answer:
edf
Step-by-step explanation:
Sorry if it’s wrong
amber deposits $870 in an account that has a simple interest rate of 8% per year. After 5 years, how much interest will Amber have learned and what will the total balance be in the account
Answers
Your information:
I = (870)(0.08)(5)
I = 348
Add the interest to the principal for your total balance
348 + 870 = $1218 will be the total balance in the account.
i am so confused. not sure how to solve need step by step instruction to help please
given:f(x)=3x−7 for × ≥0
f(x)=-2x +3 for x >0
find: f(-5)
Answers
Answer:
13
Step-by-step explanation:
Since -5 is less than zero, we use the second equation, and substitute the -5 in for the x.
-2(-5)+3=13
blank plus 1/5 equals to 1/2
Answers
Answer: 3/10
Step-by-step explanation:
To get the value for the blank, treat it as a variable. Let’s say this blank is x.
x + 1/5 = 1/2
Subtract 1/5 from both sides:
x = 1/2 – 1/5
x = 3/10
The blank is 3/10.
Hope this helps!
Help please!!!! I’ll appreciate it so much!
Answers
x + 6 - 6 = 20 - 6
x = 14
Question 2) x - 2 = 5
x - 2 + 2 = 5 + 2
x = 7
Question 3) 15 + m = 9
15 - 15 + m = 9 - 15
m = -6
In 2002, the average price of a new domestic car was $19,126. In 2008, the average price was $28,715. Based on a linear model, what is the predicted average price for 2014? Ston Down
Answers
Answer:
The predicted average price for 2014 is of $38,304.
Step-by-step explanation:
Linear model:
In a linear model, the average price increases by the same amount during each period.
In 2002, the average price of a new domestic car was $19,126. In 2008, the average price was $28,715.
In a period of 6 years, the increase was of:
28715 - 19126 = $9,589
Based on a linear model, what is the predicted average price for 2014?
Another period of 6 years, so it will increase by 9589 more. Than
28715 + 9589 = 38304
The predicted average price for 2014 is of $38,304.
please help asap ! no scam links or scam comments for points or reported.
Answers
Answer:
C
Step-by-step explanation:
it is -25x X= each time he goes rock climbing
........................................................................................
Solve
........................................................................................
Answers
Answer:
10 - 15%
Step-by-step explanation:
Just guessing
the probability that a student takes spanish is 70%. The probability that a student takes spanish and they are a freshman is 30% what is the probability that a randomly selected student is a freshman given that he/she takes spanish
Answers
30%....................................
Answer: At Kennedy Middle School, the probability that a student takes Technology and Spanish is 0.087. The probability that a student takes Technology is 0.68
Step-by-step explanation: u divide
solve the inequality and specify the answer
1-3x [tex]\leq[/tex]0
Interval notation
Answers
Step-by-step explanation:
hope it helps
see attached
please help i am giving away brainliest
A swimming pool in the shape of a cylinder with a diameter of 10 m and a depth of 3 m is being filled with water. 27,535 L have been added so far. 1 m3 is equal to 1000 L. To the nearest liter, how much more water can the pool hold?
A. 236,000 L
B. 208,084 L
C. 236,616 L
D. 207,314 L
No dam links
Answers
Answer:
207,314
Step-by-step explanation:
V = πr2h =π · 52·3 ≈ 235.61945 m^3
because 1m^3 = 1000 L, (27,535 / 1000) = the amount of added water in m^3. As this is equal to 27.535, we can substract this from 235.62.
235.62 - 27.535 is about 208.085, or 207.314 because of rounding. As this is in m^3, we multiply by liters to arrive at the answer of 207,314, or option D.
If the base of a rectangle is 27.4 mm and the area is 420.92 mm2 what is the height of the rectangle?
Answers
Answer:
15.36mm
Step-by-step explanation:
The area of a triangle can be defined as B x H or L x H,
In your case, I'm assuming you meant base as length, so just plug into the equation:
L x H = 420.92mm2
27.4 x H = 420.92
H = 15.36
If you want to be exact, it is 15.3620438
The required height of the rectangle is 15.36 for the base of a rectangle is 27.4 mm and the area is 420.92 mm2.
The base of a rectangle is 27.4 mm.
The area is 420.92 mm2.
What is the height of the rectangle is to be determined.
The rectangle is 4 sided geometric shape whose opposites are equal in lengths and all angles are about 90°. Beside of square its pair of opposide sides are named as length and width sometimes base and height according to the mentions.
The area of a rectangle is a product of is two adjacent sides i.e. length * width
Area of the rectangle = height * base
420.92 = 27.4 * height
height = 420.92/27.4
height = 15.36
Thus, the required height of the rectangle is 15.36 for the base of a rectangle is 27.4 mm and the area is 420.92 mm2.
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Please help me i dont know what to do
Answers
Answer:
Help you with what?
Find the surface area of a square pyramid with side length 5 yd and slant height 7 yd.
Answers
Step-by-step explanation:
side length(a)=5yd
slant height(l)=7yd
vertical height(h)=?
Now,
h2=(l)2+(a/2)2
h=find it
Then,
T.S.A.=a2+2al
Surface area of square pyramid is 95 square yard.
What is surface area of square pyramid?The word "surface" means " the exterior or outside part of an object or body". So, the total surface area of a square pyramid is the sum of the areas of its lateral faces and its base.
So, the surface area of a square pyramid is the sum of the areas of four of its triangular side faces and the base area which is square.
Given
Length = 5 yd
Slant height = 7 yd
Surface area of square pyramid = 4 (Area of triangle) + area of square
S = [tex]4\frac{1}{2}bh+side^{2}[/tex]
S = [tex]4 . \frac{1}{2} (5)(7)+5.5[/tex]
S = 70 + 25
S = 95 square yard.
Hence, Surface area of square pyramid is 95 square yard.
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Find the value of x in the parallelogram below.
Answers
Answer:
B) x = 12
Step-by-step explanation:
m∡EOU = m∡TQE
m∡EOU =180 - (39+45) = 96°
m∡TQE: 7x + 12 = 96
7x = 84
x = 12
An algebraic expression that contains three terms is called
Answers
Answer:
Trinomial
Step-by-step explanation:
Traditionally, an expression consisting of 3 terms is called a Trinomial. For example : 3x + 4y -z, 5xy + 4yz + 4 ,a + b –c. And an expression consisting of more than 3 terms is called Polynomial.
hope this helps:)
Answer: An algebraic expression that contains three terms is called trinomial
Hope this helps!
Each interior angle of a regular nonagon has a measure 13x+10°. What is x?
Answers
Answer:
Step-by-step explanation:
A nonagon has nine sides.
The sum of exterior angles = 360°, so each exterior angle is 360°/9 = 40°.
Each interior angle = 180°-exterior angle = 140°.
13x + 10° = 140°
x = 10°
The original price of a mirror was priced at $15 but was on sale. The amount of the discount is $3. What percent is the discount of the mirror?
Answers
Answer:
20%
Step-by-step explanation:
You do 3 divided by 15 which is 0.2, or 20 percent.
United Aluminum Company of Cincinnati produces three grades (high, medium, and low) of aluminum at two mills. Each mill has a different
production capacity (in tons per day) for each grade, as follows:
Mill
Aluminum
Grade 1 2
High 6 2
Medium 2 2
Low 4 10
The company has contracted with a manufacturing firm to supply at least 12 tons of high-grade aluminum, 8 tons of medium-grade aluminum, and 5
tons of low-grade aluminum. It costs United $6,000 per day to operate mill 1 and $7,000 per day to operate mill 2. The company wants to know the
number of days to operate each mill in order to meet the contract at the minimum cost.
Formulate a linear programming model for this problem.
Answers
Answer:
uh
Step-by-step explanation:
The midpoint AB is M (1,1). If the coordinates of A are (-3,-3), what are the coordinates of B
Answers
Answer:
(2,−4).
Step-by-step explanation:
Hope this helps and have a wonderful day!!!!
I need help with my math assignment please
Answers
Answer:
angles 1 and 6
Step-by-step explanation:
Answer:
C. angle 2 and angle 7
Step-by-step explanation:
hope this helps, have a nice day :)
help please. will give Brainly.
Answers
Answer:
a10 = 15
an = 6n - 45
Step-by-step explanation:
a12 = 27 = a + 11d - eq 1
a14 = 39 = a + 13d - eq 2
eq 2 - eq 1
2d = 12
d = 6
a + 11(6) = 27
a + 66 = 27
a = -39
a10 = a + 9d = -39 + 9(6) = 15
Tn = a + (n-1)d
-39 + 6(n - 1)
-39 + 6n -6
an = 6n - 45
Jason rolls the die 14 times. What is the experimental probability that he will roll a 2
Answers
The experimental probability that Jason will roll a 2 is 3/14.
What is the probability?Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.
We know that, probability of an event = Number of favourable outcomes/Total number of outcomes.
Given that, Jason rolls the die 14 times.
From the given table,
Number of favorable outcomes = 3
Total number of outcomes = 14
So, the probability = 3/14
Therefore, the experimental probability that Jason will roll a 2 is 3/14.
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