Find the indicated limit, if it exists. limit of f of x as x approaches 0 where f of x equals 5 x minus 9 when x is less than 0 and the absolute value of the quantity 2 minus x when x is greater than or equal to 0 -9 -7 2 The limit does not exist.

Answers

Answer 1

Answer:

The limit does not exist

Step-by-step explanation:

The first step would be to try to evaluate the functions at x = 0

5x - 9 => 5(0) - 9 = -9

| 2 - x | => | 2 - 0 | = 2

So they can be evaluated at x = 0, and it gives two different answers so the limit does not exist

Answer 2

Answer:

The limit does not exist

Step-by-step explanation:

By evaluating both functions we see that we get -9 and 2, because they are not equal to each other the limit does not exist.


Related Questions

A hexagonal prism has a base with an area of 15 square inches and the volume is 105 cubic inches.
.
Complete the sentence about the height of the prism.

The height of the prism is _____ inches,square inches,cubic inches

Answers

Answer:

I believe the answer would be 1575 cubic inches. Sorry if i'm wrong!

Answer:

The answer is 7 square in

Step-by-step explanation:

Do this formula

V=Bh

105=15h

h=7 square in

Arthur earned $22.50 last night delivering lunches for his family's restaurant. He puts 30% of his earnings into his savings account. he then bought a magazine for $3.95 and a CD for $11.49. of the amount earned last night, how much money does arthur have left that is not in his savings account​

Answers

Answer:

$4.26

Step-by-step explanation:

you guy have any song requests?


Answers

Answer:

Never want to give you up

Step-by-step explanation:

Brainliest? pls

Famous Dex - Pick It Up (Lyrics) feat. A$AP Rocky

My ordinary life

SoFaygo - Knock Knock

Streets

D !ck

I need help in this question. I am not understanding what it is telling me so HELP

Answers

Answer: You solve it its easy subtraction :)

Step-by-step explanation:

$14,000 - $5,358 - $2,834 - $4,132 = answer

Los ángulos de elevación hacia un
avión se miden desde la parte superior y la base de
un edificio que tiene 20 m de altura. El ángulo desde
la azotea es de 38°, y desde la base es de 40°.
Calcule la altitud del avión​

Answers

A partir del diagrama geométrico y las relaciones trigonométricas, la altitud del avión con respecto al suelo es aproximadamente 290.276 metros.

¿Cómo hallar la altitud del avión con respecto al suelo?

A partir del enunciado se construye un sistema geométrico formado por el triángulo obtusángulo. Con base en la información disponible, se determina las longitudes faltantes del triángulo:

[tex]\frac{20\,m}{\sin 2^{\circ}} = \frac{r_{1}}{\sin 128^{\circ}} = \frac{r_{2}}{\sin 50^{\circ}}[/tex]     (1)

Los lados faltantes son r₁ ≈ 451.589 m and r₂ ≈ 439 m. Finalmente, la altitud del avión se obtiene mediante la siguiente relación trigonométrica:

h = r₁ · sin 40°     (2)

h = (451.589 m) · sin 40°

h ≈ 290.276 m

A partir del diagrama geométrico y las relaciones trigonométricas, la altitud del avión con respecto al suelo es aproximadamente 290.276 metros.

Para aprender más sobre relaciones trigonométricas: https://brainly.com/question/22962732

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Find the missing side of each triangle
I can’t remember the steps to doing this/the formula, an explanation would be great thanks!

Answers

Step-by-step explanation:

Pythagorean theorem

a^2+b^2=c^2

2^2+6^2=x^2

4+36=x^2

40=x^2

[tex]\sqrt{40}=x[/tex]

[tex]2\sqrt{10}[/tex][tex]=x\\[/tex]

Hope that helps :)

Answer:

sqrt(40) or approx. 6.324555

Step-by-step explanation:

a^2 + b^2 = c^2 (Pythagorean Theorem)

6 is a, 2 is b, and x is c, or the hypotenuse.

Plug in the values

6^2 + 2^2 = x^2

Simplify

36 + 4 = x^2

40 = x^2

Square root both sides

sqrt(40) = x

What is 97,000 in scientific notation?

Answers

Answer:

9.7 * 10 to power of 4

Step-by-step explanation:

Answer:

Don't know the meaning of this question

Rana sells 192 cakes in the ratio small: medium: large = 7 : 6 : 11.
The profit for one medium cake is twice the profit for one small cake.
The profit for one large cake is three times the profit for one small cake.
Her total profit is £532.48
Work out the profit for one small cake

Answers

Answer:

S = £1.28

Step-by-step explanation:

Let the small, medium and large cakes be S, M and L respectively.

Given the following data;

Total profits = £532.48

Total number of cake = 192 cakes

Ratio of S:M:L = 7:6:11

Sum of ratio = 7+6+11 = 24

To find number of each cakes, we would divide the total number of cakes by the sum of ratio;

Number of each cakes = 192/24

Number of each cakes = 8

Next, we determine the exact number of each type of cakes.

Small = 7*8 = 56 cakes.

Medium = 6*8 = 48 cakes.

Large = 11*8 = 88 cakes.

For the profits;

Translating the word problem into an algebraic expression, we have;

M = 2S

L = 3S

56S + 48*(2S) + 88*(3S) = £532.48

56S + 96S + 264S = 532.48

416S = 532.48

S = 532.48/416

S = £1.28

Therefore, the profit for one small cake is £1.28

A restaurant noted what type of food its customers purchased last week.Here are the results

Answers

Answer:

There is no link to the results/question.

Amir has 5 cups of water. He uses it to water 12 plants. Each plant gets
the same amount of water. How much water does each plant get?

Answers

Answer:

5/12 cup of water per plant

a study of the effects of exercis used rats bred to have high or low capacity for exercise. The 8 high capacity rats had mean blood pressure 89 mm Hg and variance 81; the 8 low-capacity rats had mean blood pressure 105 mm Hg with variance 169. What is the value of the two-sample t statistic for comapring the two population means

Answers

Answer:

[tex]t=-2.86[/tex]

Step-by-step explanation:

From the question we are told that:

Sample 1 [tex]n_1=8[/tex]

Sample 1 mean blood pressure [tex]\=x_1=89mmHg[/tex]

Sample 1 variance [tex]\sigma_1=81[/tex]

Sample 2 [tex]n_2=8[/tex]

Sample 2 mean blood pressure [tex]\=x_2=105mmHg[/tex]

Sample 2 variance [tex]\sigma_2=169[/tex]

Generally the equation for the test of statistic is mathematically given by

[tex]t=\frac{\=x_1-\=x_2}{\sqrt{\frac{\sigma_2}{n_1}+\frac{\sigma_2}{n_2} } }[/tex]

[tex]t=\frac{89-105}{\sqrt{\frac{81}{8}+\frac{169}{8} } }[/tex]

[tex]t=-2.86[/tex]

therefore the samples test for comparing the two population means

[tex]t=-2.86[/tex]

Tyson has two movie tickets and wants to randomly select one of six friends to go with him. He rolls a six-sided die to make his decision. He tested this model 60 times and recorded the results in this table.

Result of Roll Times Result Occurred
1 - 11
1 - 0.18
2 - 9
2 - 0.15
3 - 9
3 - 0.15
4 - 10
4 - 0.17
5 - 11
5 - 0.18
6 - 10
6 - 0.17
Do you think the relative frequency from the experiment is a good predictor of the theoretical probability? Why or why not?

Answers

Answer:

The relative frequency of rolling a particular number can be calculated using the formula

relative frequency , where f is the actual frequency of an event and n is the number of times the experiment is performed. This experiment had the following results:

The relative frequency of rolling a 1 is 0.2.

The relative frequency of rolling a 2 is about 0.23.

The relative frequency of rolling a 3 is about 0.13.

The relative frequency of rolling a 4 is 0.15.

The relative frequency of rolling a 5 is 0.15.

The relative frequency of rolling a 6 is about 0.13.

The relative frequencies of rolling 1, 2, 3, 4, 5, and 6 are quite similar. So, the relative frequency is a good predictor of the theoretical probability.

Step-by-step explanation:

this is exact answer from edmentum so change it up a bit

A consumer group surveyed the prices for white cotton extra-long twin sheet sets in five different department stores and reported the average price as $16 with standard deviation $3.81. Assume that the population is normal and has a standard deviation equal to $3.81. 9. Provide a 95% confidence interval in order to estimate the average price of the white cotton extra-long twin sheets. z* is 1.96

Answers

Answer:

95% confidence interval in order to estimate the average price of the white cotton extra-long twin sheets.

(12.6604 ,19.3396)

Step-by-step explanation:

Step(i):-

Given that mean of the sample = 16

Given that the standard deviation of the sample = 3.81

The standard deviation of the Population = 3.81

Level of significance = 0.05

Step(ii):-

95% confidence interval in order to estimate the average price of the white cotton extra-long twin sheets.

[tex](x^{-} - Z_{0.05} \frac{S.D}{\sqrt{n} } , x^{-} + Z_{0.05} \frac{S.D}{\sqrt{n} } )[/tex]

([tex](16 - 1.96 (\frac{3.81)}{\sqrt{5} } , 16 +1.96 (\frac{3.81)}{\sqrt{5} })[/tex]

( 16 - 3.3396 , 16 + 3.3396)

(12.6604 ,19.3396)

Final answer:-

95% confidence interval in order to estimate the average price of the white cotton extra-long twin sheets.

(12.6604 ,19.3396)

Find mZECD
E
D
C С
31°
A
B
PLEASE HELP I WILL GIVE BRAINLIEST

Answers

Angle ECD is 118°, let me know if you need an explanation or just wanted the answer

Solve for x....................................

Answers

Answer:

x = 4.5 is the answer to the question

2. Select all expressions that can be subtracted from 9x to result in the expression
3x + 5.
A. -5 + 6x
B) 5 – 6x
С.) 6х +5
D. 6x - 5
E. -6x + 5.

Answers

Answer:

D. 6x-5

Step-by-step explanation:

I am not actually 100% but subtracting 6x from 9x will give you 3x and subtracting -5 will give you +5... SOOO. cross your fingers. lol

For the polynomial below, 3 is a zero.
g(x)=x^3-7x^2+9x+9
Express g(x) as a product of linear factors

Answers

9514 1404 393

Answer:

  g(x) = (x -3)(x -2+√7)(x -2 -√7)

Step-by-step explanation:

Synthetic division can tell us the quadratic factor that remains when the factor (x-3) is divided out.

  g(x) = (x -3)(x^2 -4x -3)

The quadratic is not factorable over integers. Its vertex form is ...

  (x -2)^2 -7

so its roots are x = 2±√7.

That means the linear factorization of g(x) is ...

  g(x) = (x -3)(x -2-√7)(x -2+√7)

_____

I find it easy to learn the vertex form of the quadratic factor by using a graphing calculator to show the graph of the quadratic.

"An education researcher recorded the number of books students read over the last year and the number of vocabulary words that students defined correctly on a test of 100 vocabulary words. The resulting data were used to conduct a hypothesis test to investigate whether there is a positive linear relationship between the number of books read and the number of vocabulary words defined correctly. What are the correct hypotheses for the test?"

Answers

Answer:

B

Step-by-step explanation:

,........................................................................................l

Answers

No ...................,,,,,,,,..........

Which following relations represent a function

Answers

Answer:

I think that actually all of them represent a function , except D .

hope it was helpful .

Find the common difference of the arithmetic sequence -7, -1, 5, ...

Answers

Answer:

d = -6

Step-by-step explanation:

common difference, d = -7-(-1) = -6

Does anyone know this please help

Answers

Answer:

b.12/25

c.4/15

d.8/15

e.6/12

2a.15/24=5/8

b.20/40=1/2

Will give brainliest

Find the area of this triangle.
Round to the nearest tenth.
8 m
62°
12 m
[?] m2

Answers

Answer:

A, 1/2*b*h*sin  

A, 1/2*12*8*sin 62

=43.3

Also use symbolab for this kid equations

Step-by-step explanation:

Which of the fractions is equivalent to 2/3

Answers

Answer:

4/6

6/9

12/18

8/12

5/10

Step-by-step explanation:,,

Answer:

The answers are 4/6 and 6/9.

Step-by-step explanation:

Where does the graph of cosine begin?

Answers

Answer:

Step-by-step explanation:

Cosine starts at 1 and then goes down till 180 degrees and then goes up again..

Hope this helps..

i need help with these 2 questions.

Answers

Answer:

Step-by-step explanation:

6). Surface area of a triangular prism = Area of the triangular bases + (Perimeter of the triangular base)×height

Area of one triangular base = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]

                                              = [tex]\frac{1}{2}\times 4\times 3[/tex]

                                              = 6 km²

Perimeter of the triangular base = (4 + 3 + 5)

                                                      = 12 km

Height of the triangular prism = 7 km

Surface area of the given triangular prism = 2(6) + (12)(7)

                                                                      = 12 + 84

                                                                      = 96 km²

7). Surface area of a rectangular prism = 2(lb + bh + hl)

Here, l = Length, b = Width and h = Height

By substituting the values from the given question,

l = 9 in, b = 9 in, h = 4 in

Surface area of the rectangular prism = 2(9×9 + 9×4 + 4×9)

                                                               = 2(81 + 36 + 36)

                                                               = 2(153)

                                                               = 306 in²                              

Helppppp pleaseeee xxxxx

Answers

Answer:

a. 28π m²

b. 44π m²

Step-by-step explanation:

a. Lateral surface of the cone = πrl

Where,

r = 4 m

l = 7 m

Lateral surface area = π*4*7 = 28π m²

b. Surface area of cone = πr(l + r)

r = 4 m

l = 7 m

Surface area = π*4(7 + 4)

= 4π(11)

= 44π m²

Which statement is true?
4
O A. As the value of a positive number
increases, the absolute value of
the number decreases.
O B. As the value of a positive number
decreases, the absolute value of
the number increases.
O C. As the value of a negative number
increases, the absolute value of
the number decreases.
5
O D. As the value of a negative number
decreases, the absolute value of
the number decreases.

Answers

The answer is b it depends on the number

option D is true statement. that is the absolute value of the negative number will decreases with decreases in negative number.

What is Absolute value of a number?

Absolute value describes the distance from zero that a number is on the number line, without considering its direction that is the absolute value of a number is never negative.

In other words Absolute value is the modulus of any number.

A ) False :  the absolute value of the positive number will increase with increase in positive number.

B )  False :  the absolute value of the positive number will decreases with decreases in positive number.

C)   False :  the absolute value of the negative number will increase with increase in negative number.

D)  TRUE:  the absolute value of the negative number will decreases with decreases in negative number.

Therefore, option D is true.

Read more about absolute value at:

https://brainly.com/question/1301718

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PLEASE HELP WILL MARK BRAINLIEST!!! No links and serious answers only!!
2. Write the equation of the line of best fit using the slope-intercept formula $y = mx + b$. Show all your work, including the points used to determine the slope and how the equation was determined.
3. What does the slope of the line represent within the context of your graph? What does the y-intercept represent?
4. Test the residuals of two other points to determine how well the line of best fit models the data.
5. Use the line of best fit to help you to describe the data correlation.
6. Using the line of best fit that you found in Part Three, Question 2, approximate how tall is a person whose arm span is 66 inches?
7. According to your line of best fit, what is the arm span of a 74-inch-tall person?​

Answers

Equation is at bottom with work above.

how to graph an inequality y<1-2x

Answers

Answer:

Step-by-step explanation:

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