Use the graph of the rational function to complete the following statement.

Use The Graph Of The Rational Function To Complete The Following Statement.

Answers

Answer 1

Using the graph of the function, it is found that the lateral limits of the function are as follows:

As [tex]x \rightarrow 1^{+}[/tex], [tex]f(x) \rightarrow -\infty[/tex].As [tex]x \rightarrow 1^{-}[/tex], [tex]f(x) \rightarrow \infty[/tex].

What are the lateral limits of the function at x = 1?

For [tex]x \rightarrow 1^{+}[/tex], we look at the values slightly greater than 1, that is, to the right of x = 1, for which the function goes to negative infinity, hence [tex]f(x) \rightarrow -\infty[/tex].

For [tex]x \rightarrow 1^{-}[/tex], we look at the values slightly less than 1, that is, to the left of x = 1, for which the function goes to infinity, hence [tex]f(x) \rightarrow \infty[/tex].

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Related Questions

Express with fractional exponents instead of radicals.
6√x² y³

Answers

Answer:

using of fractional exponents give us the value 6(x^2y^3)^1/2 or 6xy^3/2.

0.3x =2.1 how would i solve this

Answers

[tex]0.3x = 2.1\\\\\implies 10\times 0.3x = 10 \times 2.1~~~~;[\text{Multiply both sides by 10}]\\\\\implies 3x = 21\\\\\implies x = \dfrac{21}3 = 7[/tex]

Divide by 0.3 on both sides to find x

need help with geometry (number 19)

Answers

Answer:

The answer is 65

Step-by-step explanation:

As تھ measure of angles of rectangle is 90

So 90-25 is equal to 65

PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE

Evaluate the expression when a = 6 and x= -5.
-a + 8x

Answers

Answer:

-46

Step-by-step explanation:

when a= 6 and ×=-5

-a + 8×= -6+8×-5

= -6+(-40)= -6-40= -46

NEED HELP ASAP
In the diagram, m ZAFB = 78°

Which angle is complementary to ZAFB and what is its measure?


Answers

Answer:

Angle BFC is complimentary to AFB. Its measure is 12.

Step-by-step explanation:

Complementary angles add up to 90 degrees. When these two angles combine, it adds up to 90. 90-78 = 12. This angle's measure is 12.

A large car dealership claims that 47% of its customers are looking to buy a sport utility vehicle (SUV). A random sample of 61 customers is surveyed. What is the probability that less than 40% of the sample are looking to buy an SUV?

Answers

Using the normal distribution and the central limit theorem, it is found that the probability is of 0.1368 = 13.68%.

Normal Probability Distribution

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.By the Central Limit Theorem, for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex], as long as [tex]np \geq 10[/tex] and [tex]n(1 - p) \geq 10[/tex].

In this problem:

47% of its customers are looking to buy a sport utility vehicle (SUV), hence p = 0.47.A sample of 61 customers is taken, hence n = 61.

The mean and the standard error are given by:

[tex]\mu = p = 0.47[/tex]

[tex]s = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.47(0.53)}{61}} = 0.0639[/tex]

The probability that less than 40% of the sample are looking to buy an SUV is the p-value of Z when X = 0.4, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{0.4 - 0.47}{0.0639}[/tex]

Z = -1.095

Z = -1.095 has a p-value of 0.1368.

0.1368 = 13.68% probability that less than 40% of the sample are looking to buy an SUV.

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Dan needs to make a total of 25 deliveries this week So far he has completed 19 of them. What percentage of his total deliveries has Dan completed?

Answers

Answer:

76 percent.

Step-by-step explanation:

Answer:
76% of deliver Dan completed

Explanation:
19/25
19 out of 25


Hope it helps, Let me know if you have any other questions!
Have a nice rest do your day :)

A signal can be sent from one location to another by running different colored flags up a flagpole, one above the other. There are 15 different colored flags to choose from but only 8 flags will be flown. Find the number of different signals consisting of 8, if the first flag must be blue.
If the first flag is blue then the number of different signals consisting of 8 flags is ??

Answers

Using the permutation formula, it is found that there are 17,297,280 different signals consisting of 8 flags.

In this problem, the order in which the flags are visited is important, hence the permutation formula is used to solve this question.

What is the permutation formula?

The number of possible permutations of x elements from a set of n elements is given by:

[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]

The first flag is blue, then the remaining 7 are taken from a set of 14, hence:

[tex]P_{(14,7)} = \frac{14!}{7!} = 17,297,280[/tex]

There are 17,297,280 different signals consisting of 8 flags.

More can be learned about the permutation formula at https://brainly.com/question/25925367

Help answer question

Answers

Answer:

Yes and yes

Step-by-step explanation:

Solve the system of equations by elimination. Show your work. i’ll give brainliest

Answers

Answer:

x = 5

y = 4

Step-by-step explanation:

multiply the second equation by -1 and add the first equation to eliminate "x"

[tex]4x+6y=44\\-4x-2y=-28[/tex]
_____________

       [tex]4y=16[/tex]

[tex]y=16/4 =4[/tex]

Replace "y" in the first equation:

[tex]4x+6(4)=44[/tex]

[tex]4x+24=44[/tex]

[tex]4x=44-24[/tex]

[tex]x=20/4=5[/tex]

Hope this helps

Answer:

x = 5, y = 4.

Step-by-step explanation:

4x + 6y = 44        (A)

4x + 2y = 28        (B)

Subtract equations: (A) - (B).

0 + 4y = 16

y = 16/4

y = 4.

Now plug y = 4 into equation A:

4x + 6(4) = 44

4x = 44 - 24

4x = 20

x = 5.

Now check if these roots are correct by plugging them into equation B:

4x + 2y = 28

4(5) + 2(4) = 28   - check OK.

Russell needs to fertilize the grass in his
back yard, shown below. In order to know
how much fertilizer to buy, he must know
the square footage of his yard.
If the entire yard is covered with grass,
how many square feet of grass does he
have?
< 60 feet->
36 feet
60 feet
36 feet
30 feet

Answers

Answer:

60 feet?

Step-by-step explanation:

The area covered with grass, in square feeet, is the area of the shape of the yard.

What is the Area of a Yard?

The area of a yard can be calculated by determining the shape of the yard, and using the appropriate area formula of the shape to find the area of the yard.

Image of the yard is missing. However, assuming the yard is a rectangular shape with a dimension of 10 ft by 6 ft, therefore:

The square feet of grass Russell has = area of rectangle = (10)(6) = 60 ft²

In summary, the area covered with grass, in square feeet, is the area of the shape of the yard.

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Abigail volunteers as a gift wrapper at a children's bookstore during the holiday season. She can gift wrap a book in 3.5 minutes. Let t be the total number of books she wraps, and let m be the total minutes she spends wrapping. The equation m=3.5t represents this situation. Graph the equation.

Answers

3.5 is the slope (how long it takes for her to wrap a book)
t is the number of books she wraps
So 3.5t is the total number of minutes she spends wrapping or m

For example on the graph
If she wraps 6 books then she spends a total of 21 minutes wrapping books because 3.5(6) is 21.

True or false?

The greater a fractional part of a circle an angle takes up, the smaller it’s measurement will be.

Answers

This is the  Answer :

true

What is the area of the obtuse triangle given below?
6, 18

Answers

Answer:

54

Step-by-step explanation:

A = 1/2 bh

A = 1/2 (6)(18)

A = 1/2 (108)

A = 54

Area of the Obtuse triangle whose measures are 6 and 18 is 54 square units.

What is Triangle?

A triangle is a three-sided polygon that consists of three edges and three vertices.

We need to find the area of the obtuse triangle whose base is six units and height is eighteen 18 units.

A triangle whose any one of the angles is an obtuse angle or more than 90° is called Obtuse.

The area of triangle is 1/2×Base×Height

Half base times of height

Area of triangle=1/2×6×18

=54 square units

Area is 54 square units.

Hence, Area of the Obtuse triangle whose measures are 6 and 18 is 54 square units.

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The function f (x) is given by the set of ordered pairs 1,0 (-10,2), (0,6) (3,17) (-2,-1) which equation is true
f(-10)=1
f(2)=-10
f(0)=6
f(1)=-10
please show work!!

Answers

f(0) = 6

Because the number in () is the x value which is 0 and the answer, 6 ,is the y-value.
The format is f(x) = y
Only one that matches the given points is (0,6)

Answer:

f(0)=6

Step-by-step explanation:

It should be the third one because it is the only one that has the x-value in the parentheses and equals the y-value. (I think please someone back me up)

jack had m problems to complete during his vacation. (a) how many problems did jack solve per day? (b) suppose jack was solving 15 problems per day. (c) How many problems were assigned for homework

Answers

Answer:

a) m problems, d days to complete.

m/d

b) m/15d

c)-if 15 was connected; 15d

if 15 WAS NOT connected, m problems

Charlie is riding his bicycle. He rides 44.8 kilometers in 7 hours. What is his speed in kilometers per hour?

Answers

You would do 44.8/7 = 6.4kmph
This is because it’s distance / time

find the mean, variance, and standard deviation of sampling distribution of the sample population p=.2 and n=107

Answers

Answer:

2923 is your p is equal to 2 and n

Astronomers measure large distances in light-years. One light-year is the distance that light can travel in one year, or approximately 5,880,000,000,000 miles. Suppose a star is 13.6 light-years from Earth. In scientific notation, how many miles away is it?

a)5.88 × 1012 miles
b)7.9968 × 1013 miles
c)5.88 × 1013 miles
d)1.36 × 1012 miles

Answers

Answer:

b) 7.9968 × 1013 miles

Step-by-step explanation:

So one light-year equals 588 × 10^10

13.6 light-years equals 13.6 × 588 × 10^10 = 79968 × 10^9 = 7.9968 × 1013 miles

P. 1. Evaluate the double integral

Answers

The given double integral results [tex]\frac{e^8-1}{4e^8}=0.25[/tex]

Integration

The integrals are the opposite of derivatives. They are used in several applications, like: calculations of areas, volumes and others.

For solving an integration, you should know its rules. For this question will be necessary to apply the following integration rules:

For constant function -  ∫b dx = b ∫ dx= bx+CFor integration by parts - ∫u v dx = uv -∫v duFor exponential function - [tex]\int\ e^x \, dx[/tex] =[tex]e^x+C[/tex]

Changing the order integration

[tex]\int _0^2\int _0^xe^{-2x^2}dydx[/tex]

[tex]\int _0^2xe^{-2x^2}dx[/tex]

[tex]\frac{e^8-1}{4e^8}=0.25[/tex]

Find the slope of the line passing through (3,-4) and (3,8)

Answers

To find the slope ⇒ we must know the formula

   Formula = [tex]\frac{y2-y1}{x2-x1}[/tex]

(x1, y1) ⇒ (3, -4)(x2, y2) ⇒ (3,8)

Now let's solve and plug the known variables

     Slope = [tex]\frac{8-(-4)}{3-3} =\frac{12}{0}[/tex]

Nothing can be divided by zero

   ⇒ in this case, the slope is undefined

    *interesting fact: the line is vertical

Hope that helps!

how many thousand equal 700 ten

Answers

No thousands, just 70

Answer:

seven

Step-by-step explanation:

You roll a 6-sided die two times.
What is the probability of rolling a 5 and then rolling a 3?
Write your answer as a fraction or whole number.

Answers

Answer:

1/36

Step-by-step explanation:

The chance of you rolling a 5 is 1/6

While the chance of you rolling a 3 is a 1/6

If you want both a 5 then a 3 then you multiply the fractions

1/6 * 1/6 = 1/36

Kang Tae Moo thinks of a number. He adds 13 to the number. He multiples the result by 3. This gives the same result as if he multiplied the number by 9 and then subtracted 3. What number is Kang Tae Moo thinking of?

Answers

Answer:

7

Step-by-step explanation:

We can setup this equation as x representing his number.  (x+13) * 3 = 9x -3.

Now, we just need to solve for x.  

3(x+13)=9x-3

x+13=3x-1

14=2x

x=7

Check out this rectangular prism 2 2 5 5 2 2 Find the surface area of the rectangular prism (above) using its net (below).

Answers

Can you please put a picture

A car rental agency rent compact, midsize, and luxury cars. Its goal is to purchase 48 cars for a total of $932,000 and to earn a daily rental of $ 1,265 from all the cars. The compact cars cost $13,000 each earn $ 20 per day in rental, the midsize cars cost $ 25,000 each earn $ 27 per day, and the luxury cars cost $ 29,000 each and earn $ 45 per day. Your task will be to find the number of each type of car the agency should purchase to meet its goal.

Answers

Answer:

25 compact15 midsize8 luxury

Step-by-step explanation:

The set of relationships can be formulated as three equations in three unknowns. These can be written as an augmented matrix and solved using a calculator.

Let x, y, z represent the numbers of compact, midsize, and luxury cars, respectively. Then the relations are ...

  x + y + z = 48 . . . . . . total number of cars purchased

  13x +25y +39z = 932 . . . . . total cost in thousands

  20x +27y +45z = 1265 . . . . daily rental revenue

The augmented matrix of coefficients looks like ...

  [tex]\left[\begin{array}{ccc|c}1&1&1&48\\13&25&39&932\\20&27&45&1265\end{array}\right][/tex]

And its solution is ...

  (x, y, z) = (25, 15, 8)

The agency should purchase 25 compacts, 15 midsize, and 8 luxury cars.

Factor 99-45f+36b99−45f+36b99, minus, 45, f, plus, 36, b to identify the equivalent expressions.
Choose 2 answers:
Choose 2 answers:

(Choice A)
A
9(11-5f+4b)9(11−5f+4b)9, left parenthesis, 11, minus, 5, f, plus, 4, b, right parenthesis

(Choice B)
B
3(33-15+12)3(33−15+12)3, left parenthesis, 33, minus, 15, plus, 12, right parenthesis

(Choice C)
C
11(9-4f+3b)11(9−4f+3b)11, left parenthesis, 9, minus, 4, f, plus, 3, b, right parenthesis

(Choice D)
D
3(33-15f+12b)3(33−15f+12b)3, left parenthesis, 33, minus, 15, f, plus, 12, b, right parenthesis

Answers

The answer for your question is B and D

Answer:

its A and D dont listen to the other person lol

W

the approximate z-score that corresponds to a right tail area of 0.29 is?

Answers

Answer:

0.55

Step-by-step explanation:

In this question we need to find the Z score says that the area under the standard normal curve to the right is 0.29. So here in this question I have drawn here the normal distribution curve. So at this point we need to calculate the z value And with the probability of 29%. So to find the value of Z says that probability of zero great Small, that is equal to 0.29. So I can write this left hand side as one minus probability of less than small. It's called a 0.29 probability of zero, less than or equal to zero will do 0.29 one minus .29 which is equal to 0.71. So here we know the value of probability And we need to find the value of zero and there are various methods to calculate that one is the using the normal distribution tables and then there is the um MS Excel should. So from the table you can find the area closest to 0.71. So here the flow chart for finding me value. Using normal distribution table is given. So the first thing is from this table of the standard normal distribution, look at the probability value. So as you can see from this this is the snapshot of the table we need to find the probability value. So We have got the value of 0.71. So this is the nearest value to that you need to, next second is move left until the first column is reached. So move left until the first column is rich. This is the first column. Move upward until the top row is rich. Note that value. So here as you can see it is 0.5 and here it is 0.05. The intersection of the Roman columns gives the area of the two day loves. So which is 0.5 Plus 0.05 is equal to zero 55. This is the value of Z. Or as you can use the um xxl shoot to calculate the value of Z. Here, I have given the flow chart for that. Also you can use this to calculate the value of Z. So probability of mhm Less than or equal to 0.55 Is equal to 0.71. This is the answer. 0.55 is the answer for the solution.

Leila wanted to order her IFTAR meal from La Gondola, Al Khobar. The menu stated that their pasta is a blend of wheat and corn. La Gondola does not disclose the percentage of each ingredient in the blend but we know that the wheat in the blend contains 5% protein, and the corn in the blend contains 10% protein. Overall, each 57 gram serving of pasta contains 4 grams of protein.

Leila told her sister that there was more wheat than corn in the pasta. Use multiple representations to justify if this is a true statement. (You may use DESMOS for graphing. You must also put in the algebraic solution and a table.)

Answers

Step-by-step explanation:

Let the amount of wheat is x and amount of corn is y.

The total amount of pasta is

x + y = 57

Amount of protein in same pasta is

5% of x + 10% of y = 4

or

0.05x + 0.1y = 4

The graphical solution is attached

x = 34, y = 23

It is easy to solve the system by substitution

y = 57 - x0.05x + 0.1(57 - x) = 40.05x + 5.7 - 0.1x = 40.1x - 0.05x = 5.7 - 40.05x = 1.7x = 1.7/0.05x = 34

Then the value of y is

y = 57 - 34 = 23

As we see x > y, so Leila is right

The above problem is solved using Multiple Representations.  Multiple representations are used to achieve a deeper comprehension of concepts related to the same operation.

How do we evaluate the veracity of Leila's assertion?

We can arrive at whether the statement is true or false by solving for the value of Y using the graphical method. Where Y is the amount of wheat and X is the amount of corn.

Our function is given as follows:
X + Y= 57. ..........1

Recall that the total amount of pasta is 57 grams

Recall as well that the total amount of protein in the pasta is given as:

0.05x + 0.1y= 4grams.......2

By inputting equations 1 and 2 into the Desmos Graph, we have x to be equal to = 34, and y = 23. (please see the attached image).

Recall that Leila's assertion was that there is more corn in the Pasta. Since x is the amount of corn, then Leila's assertion is True that: x>y.

The algebraic solution is arrived at using substitution.

Rewriting equation (1), we have

y = 57 - x .......................(3)

Let us substitute y into equation (2) above. That gives us:

0.05x + 0.1(57 - x) = 4.........................(4)

Expanding the brackets, we obtain

0.05x + 5.7 - 0.1x = 4

Collecting like terms, we can rewrite the quation as:

0.1x - 0.05x = 5.7 - 4

0.05x = 1.7

Rewriting the equation such that it is subject to x, we have

x = 1.7/0.05

x = 34

If from the above, x = 34, inputting that into equation (3) above, we have

y = 57 - 34; Therefore,

y = 23

Learn more about Multiple Representation at:
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I also need this one thank you

Answers

Answer: C. f(0)= g(-2)
When the y-value of the f like is zero the y-value of the g line is -2
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