What is the slope of the line that passes through the points (-9, 2) and (1, 27)?

Answers

Answer 1

Answer:

The answer is

[tex] \huge \frac{5}{2} \\ [/tex]

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\[/tex]

From the question the points are

(-9, 2) and (1, 27)

We have

[tex]m = \frac{27 - 2}{1 - - 9} = \frac{25}{1 + 9} = \frac{25}{10} = \frac{5}{2} \\ [/tex]

We have the final answer as

[tex] \frac{5}{2} \\ [/tex]

Hope this helps you


Related Questions

For a continuous random variable X, P(23 ≤ X ≤ 66) = 0.25 and P(X > 66) = 0.14. Calculate the following probabilities. (Leave no cells blank - be certain to enter "0" wherever required. Round your answers to 2 decimal places.)

Answers

Complete question :

For a continuous random variable X, P(23 ≤ X ≤ 66) = 0.25 and P(X > 66) = 0.14. Calculate the following probabilities. (Leave no cells blank - be certain to enter "0" wherever required. Round your answers to 2 decimal places.)

a. P(X < 66)

b. P(X < 23)

c. P(X = 66)

Answer:

P(X < 66) = 0.86

P(X < 23) = 0.61

P(X = 66) = 0

Step-by-step explanation:

Given that:

X, P(23 ≤ X ≤ 66) = 0.25 and

P(X > 66) = 0.14 ;

Recall:

P(x ≤ a) + p(x ≥ a) = 1

Then ; P(X < 0.66) = 1 - 0.14 = 0.86

Hence,

P(X < 0.66) = 0.86

P(23 ≤ X ≤ 66) = 0.25

P(X < 66) = 0.86

Hence,

P(X < 23) = 0.86 - 0.25 = 0.61

Probability that a continuous random variable is exactly equal to a particular number equals 0

Hence,

P(X = 66) = 0

What is the apparent range of the function of x shown?

A) The set of all real numbers greater than or equal to 1
B) The set of all real numbers less than or equal to 1
C) The set of all real numbers greater than or equal to 4
D) The set of all real numbers

(PLEASE LOOK AT THE PICTURE BEFORE ANSWERING)

Answers

It would be the second one b)

what is the slope of the line

Answers

Answer:

M=[tex]-\frac{3}{4}[/tex]

Step-by-step explanation:

M=[tex]\frac{rise}{run}[/tex]

From left to right, the line goes down. Therefore, it is a negative slope.

[tex]-\frac{3}{4}[/tex]

Can somebody pls answer these three questions ASAPPPP!!!!

Answers

Answer:

1) x = 3/2  2)  x = 6  3) x = 3

Step-by-step explanation:

For Number 1:

4(x+8)−4=34

Step 1: Simplify both sides of the equation.

4(x+8)−4=34

(4)(x)+(4)(8)+−4=34(Distribute)

4x+32+−4=34

(4x)+(32+−4)=34(Combine Like Terms)

4x+28=34

Step 2: Subtract 28 from both sides.

4x=6

Step 3: Divide both sides by 4.

4x/4 = 6/4

x = 3/2

For Number 2:

2/3(9+x)=−5(4−x)

Step 1: Simplify both sides of the equation.

6 + 2/3x = −20+5x

Step 2: Subtract 5x from both sides.

−13 /3 x+6=−20

Step 3: Subtract 6 from both sides.

-13/3x = -26

Step 4: Multiply both sides by 3/(-13)

x = 6

For Number 3:

−3(x+4)+15=6−4x

Step 1: Simplify both sides of the equation.

−3(x+4)+15=6−4x

(−3)(x)+(−3)(4)+15=6+−4x(Distribute)

−3x+−12+15=6+−4x

(−3x)+(−12+15)=−4x+6(Combine Like Terms)

−3x+3=−4x+6

−3x+3=−4x+6

Step 2: Add 4x to both sides.

−3x+3+4x=−4x+6+4x

x+3=6

Step 3: Subtract 3 from both sides.

x+3−3=6−3

x = 3

i already know the answer can someone explain or show me how to do it on a numberline

Answers

Answer:

I'm not sure what the question is but an example question could be

"Take 5 away from 3."

For this you would go to three on the number line and then move left five gaps. You would land on -2

another example: "Add 4 to -3."

For this, you would go to -3 on the number line, and then move right 4 times. you would land on 1.

Answer:

4.5

Step-by-step explanation:

just move 1 1/2 steps to the left

THIS IS URGENTTDetermine whether each table represents a function. Select Function or Not a Function for each table.

Answers

Answer:

1st table: Not a function

2nd table: Function

3rd table: Not a function

4th table: Function

Step-by-step explanation:

The functions pass the verticle line test

meaning, there is only one x value for any y value

write 1/64^2 using a negative exponent

Answers

▪ Answer:

2^(-12)

▪ Step-by-step explanation:

Hi there!

1/64^2 =

= 1/(2^6)^2

= 1/2^12

= 2^(-12)

Good luck !

use

(a^b)^c = a^(b×c)

1/a^b = a^(-b)

Simplify -51/4-(-71/2). Which of the following is correct

Answers

Answer:

91/4 as a fraction, 22.75 as a decimal

Step-by-step explanation:

(-51/4) - (-71/2)

=

(-51/4) + (71/2)

=

(-51/4) + (142/4)

=

(-51+142/4)

=91/4

Your answer is 91/4. The decimal version is 22.75. Hope this helps :)

In the inequality -2|2x-3|>-12, what is the range for x?

Answers

9514 1404 393

Answer:

  -3/2 < x < 9/2

Step-by-step explanation:

You can divide the inequality by -2, then rewrite as a compound inequality:

  |2x -3| < 6

  -6 < 2x -3 < 6

Add 3 and divide by 2:

  -3 < 2x < 9

  -3/2 < x < 9/2

Cuál es el 30% de 100.000?
Porfaaaaaa ayudenmeeeeeee

Answers

Answer:

30

Step-by-step explanation:

Ava read an article claiming that 10% of people in her county were senior citizens, and she wondered if this held true for residents in her city. She took a random sample of 225 people from her city to test H0 : p = 0.10, where p is the proportion of people in her city that are senior citizens. Ava found that approximately 14% of those sampled were senior citizens. She conducted an appropriate significance test, and the resulting test statistic was z ≈ 1.89z. Assume that the conditions for inference were met.

Answers

Complete Question

Ava read an article claiming that 10% of people in her county were senior citizens, and she wondered if this held true for residents in her city. She took a random sample of 225 people from her city to test H0 : p = 0.10, where p is the proportion of people in her city that are senior citizens. Ava found that approximately 14% of those sampled were senior citizens. She conducted an appropriate significance test, and the resulting test statistic was z ≈ 1.89 z. Assume that the conditions for inference were met.calculate the p-value for Ellie's significance test

Answer:

The p-value is  [tex]p-value  = 0.0588[/tex]

Step-by-step explanation:

From the question we are told that

   The percentage of senior citizens is  p =  0.10  

   The sample size is  [tex]n  =  225[/tex]

   The  sample proportion is  [tex]\^{p} =  0.14[/tex]

   The test statistics is  [tex] z \approx =   1.89[/tex]

The null hypothesis  is  [tex]H_o  :  p = 0.10[/tex]

The alternative hypothesis is   [tex]H_a  :  p \ne 0.10[/tex]

   Generally the p-value is mathematically represented as

       [tex]p-value  =  2 *  P(Z > 1.89 )[/tex]

From the z-table  

       [tex]P(Z > 1.89 )  =   0.029379[/tex]

=>     [tex]p-value  =  2 *   0.029379[/tex]

=>     [tex]p-value  = 0.0588[/tex]

Answer:

No because 0.06>0.05

Step-by-step explanation:

kahn

Which equation is equivalent to the given equation?
–8(x + 13) = 2(x - 7) + 4x

Answers

Answer: Is C

-8x-104=6x-14

Step-by-step explanation: I got the question right

Answer: -8x - 104= 6x - 14

Step-by-step explanation:

-8(x+13) =2(x-7) + 4x

-8x - 104 = 2X - 14 + 4x

-8x - 104 = 6x - 14

D is the midpoint of CE and EC = 18. Find the length of DE

Answers

Answer:9

Step-by-step explanation:


Which phrase matches the algebraic expression below? (1 point)
3(x + 7) + 10

Answers

Answer:

Add 10 to three times  the value of x minus 7.

Step-by-step explanation:

Answer:

Three times the difference of X and seven plus ten

Step-by-step explanation:

How many significant figures are in the number: 9003

Answers

Answer:

4

Step-by-step explanation:

The manufacturer of a soccer ball claims that only 3% of the soccer balls produced are faulty. An employee of this company examines the long-run relative frequency of faulty soccer balls produced as shown in the graph.

A graph titled Faulty Soccer Balls has frequency on the x-axis, and probability on the y-axis. The graph levels out around y = 0.06.

Which conclusion can be drawn from this graph?

The company’s claim seems to be true because the graph shows that when 50 soccer balls were tested, only about 3% of them were faulty.
We should not believe the company’s claim that only 3% of their soccer balls are faulty because this graph shows a continuous increase in probability.
Because the graph shows that the probability of producing a faulty soccer ball is 0.03, we can believe the company’s claim that only 3% of the produced soccer balls are faulty
The graph shows that the probability of producing a faulty soccer ball is about 0.06; therefore, we should not believe the company’s claim that only 3% of the produced soccer balls are faulty.

Answers

Answer:

The answer is D

Step-by-step explanation:

Answer:

D. The graph shows that the probability of producing a faulty soccer ball is about 0.06; therefore, we should not believe the company’s claim that only 3% of the produced soccer balls are faulty.

Step-by-step explanation:

Karen scored a 76 on an exam meaning is 74 and one standard deviation of eight. Find her Z score.

Answers

Answer:

0.25

Step-by-step explanation:

(76-74)/8

=2/8

=1/4

=0.25

Select the correct answer. The steps for solving the given equation are shown below. 8-3x=20 Select the correct equation for the missing step in the table.

Answers

Answer:

C

Step-by-step explanation:

Multiplying by the reciprocal is the same as division.

Answer:

its actually (b) addition property of equality

Step-by-step explanation:

i got the answer correct on edmentum

I WILL GIVE BRAINLIEST
All of the following statements describe the relation shown except _____.
The diagram represents a function.
The inputs are {-1, 0, 3, 4}.
The outputs are {-2, -1, 1}.
This relation could also be represented as {(-1, 1), (0, -2), (3, 1), (4, -1)}.

Answers

Answer:

132

Step-by-step explanation:

Answer:

{-1, 0, 3, 4}.

Step-by-step explanation:

sorry if this is incorrect

Mid point between (0,0) (11,9)

Answers

9514 1404 393

Answer:

  (5.5, 4.5)

Step-by-step explanation:

The midpoint coordinates are the average of the end point coordinates.

  ((0, 0) +(11, 9))/2 = (11, 9)/2 = (5.5, 4.5) . . . midpoint

What do numbers have a difference of 8

Answers

Answer:

20-12=8

here it is the difference is 8.

5X+17=7 PLEASE HELP FAST

Answers

Answer:

x = -2

Step-by-step explanation:

5X + 17 = 7

subtract 17 each side

5x + 17 - 17 = 7 - 17

divide 5 both sides

5x = -10  

5x/5 = -10/5

x = -2

The solution of expression is,

⇒ x = - 2

We have to given that;

The expression is,

⇒ 5x + 17 = 7

Now, We can simplify as;

⇒ 5x + 17 = 7

Subtract 17 both side,

⇒ 5x = 7 - 17

⇒ 5x =- 10

Divide by 5;

⇒ x  = - 10/5

⇒ x = - 2

Thus, The solution of expression is,

⇒ x = - 2

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ6

Order the following from least to greatest.
0.67,6.7%, 6/7

Answers

Answer:

from least to greatest.= 6.7%, 0.67, 6/7

Answer: 6.7%, 0.67, 6/7

Step-by-step explanation:

6.7% is less than 0.67.

0.67 is less than 6/7.

So, the order is 6.7%, 0.67, and 6/7.

Brian May, guitarist for Queen, does not know how to price his signature Antique Cherry Special that cost him £340 to make. He knows he wants 80% markup on cost. What price should Brian May ask for the guitar?

Answers

9514 1404 393

Answer:

  £612

Step-by-step explanation:

If Brian wants to add 80% of the cost to the cost, the selling price will be ...

  £340(100% +80%) = £340·1.80 = £612

Brian May should ask £612 for the guitar.

Task: Use the following situation to answer Parts A and B Instructions At noon, a tank contains 100 gallons of water. The table shows the input and output of water from pipes A, B, and C. The pipes begin operating simultaneously at noon. A B C Pipe Flow IN (gallons per minute) a (2) = 172 6(2) = 80 Flow OUT (gallons per minute) c (2)=30r Complete each of the 2 activities for this Task. Activity 1 of 2 Let T (2) represent the amount of water in the tank x minutes after all of the pipes A, B, and C are opened. Which of the following functions represents T (x)? O A T (2) = 100 + a(z) +b(2) - c(x) OCT (x) = 100 + a (x) +b(2) + c(2) OBT () = a (x) + b() +(2) ODT (2) = a (x) +b(x) - c(:) Activity 2 of 2 Using the equation, after how many minutes will the tank be empty?​

Answers

Answer:

See referenced question

Step-by-step explanation:

Refer to this answer:

https://brainly.com/question/18638278

Attached is the question in original form

23.85 + 7.42 + 16.15

Answers

Answer:

47.42

Step-by-step explanation:

Try solving this way

 23.85

+07.42

+16.16

=======

47.42

How long is the blue ribbon if the red ribbon is 12 inches

Answers

Answer:

can I have more info plz

Find a polynomial function of degree 3 with real coefficients and the numbers 6, 3i as some of its zeros.

Answers

Answer:

A polynomial function of degree 3 with real coefficients and the numbers 6 and i 3 as some of its zeroes is [tex]p_{3}(x) = x^{3}-6\cdot x^{2}+9\cdot x -54[/tex].

Step-by-step explanation:

A third-order polynomial in standard form is a sum of monomials with natural exponentials such that greatest degree of monomials is 3. This kind of polynomials is described by this definition:

[tex]p_{3}(x) =\Sigma\limits_{i=0}^{3} c_{i} \cdot x^{i}[/tex] (Eq. 1)

Where:

[tex]i[/tex] - Index of a sum component, dimensionless.

[tex]c_{i}[/tex] - i-th coefficient, dimensionless.

Where the highest value of [tex]i[/tex] is the degree of the polynomial.

In addition, the Fundamental Theorem establishes that all polynomials with real coefficients and degree higher than zero have a number of complex roots, an extension of the real set, equivalent to the degree of the polynomial itself.

In our case, we guarantee the existence of three complex roots, of which we know two of them: [tex]r_{1} = 6[/tex] and [tex]r_{2} = i\,3[/tex]. The polynomial can be represented as a product of three binomials:

[tex]p_{3}(x) = (x-r_{1})\cdot (x-r_{2})\cdot (x-r_{3})[/tex] (Eq. 2)

Where [tex]r_{1}[/tex], [tex]r_{2}[/tex] and [tex]r_{3}[/tex] are the roots of the third order polynomial.

If we know that  [tex]r_{1} = 6[/tex] and [tex]r_{2} = i\,3[/tex] and assume that [tex]r_{3} = -i\,3[/tex], the resulting polynomial is:

[tex]p_{3} (x) = (x-6)\cdot (x+i\,3)\cdot (x-i\,3)[/tex]

And by Algebra of real numbers we obtain the polynomial in its standard form:

[tex]p_{3}(x) = (x-6)\cdot (x^{2}+9)[/tex]

[tex]p_{3}(x) = x\cdot (x^{2}+9)-6\cdot (x^{2}+9)[/tex]

[tex]p_{3}(x) = x^{3}+9\cdot x -6\cdot x^{2}-54[/tex]

[tex]p_{3}(x) = x^{3}-6\cdot x^{2}+9\cdot x -54[/tex]

A polynomial function of degree 3 with real coefficients and the numbers 6 and i 3 as some of its zeroes is [tex]p_{3}(x) = x^{3}-6\cdot x^{2}+9\cdot x -54[/tex].

Choose a true statement.
g(x) is not a function because f(x) is not a
function.
O g(x) is not a function because f(x) is not one-
to-one.
O g(x) is a function because f(x) is one-to-one.
O g(x) is a function because f(x) is not one-to-
one.

Answers

Answer: c

Step-by-step explanation:

The correct statement is that g(x) is a function because f(x) is one-to-one.

What is an inverse function?

First to be an inverse function that function needs to one to one function, meaning every different preimage must correspond to a different image.

We can obtain the inverse of a function by switching the variables x and y with their respective positions and solving for y in terms of x.

We know a function f(x) has its inverse g(x) if and only if f(x) is a one-to-one function.

From the given statements the only true statement is, g(x) is a function because f(x) is one-to-one.

learn more about inverse functions here :

https://brainly.com/question/14627458

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state which of the following sets of ordered pairs represents a function. Please pick the best option
Set A: (5, 2), (4, 3), (3, 4), (2, 5) Set B: (-1, -6), (0, 2), (1, 2), (3, 6)
Set B: (-1, -6), (0, 2), (1, 2), (3, 6)
Set C: (2, 1), (4, 2), (2, 3), (8, 4)
a. Set C
b. Set B
c. Set A
d. Set A and Set B

I would really appreciate it if you could help me out!

Answers

Answer:

set A and set B...it is the best and right option bro...option c is wrong because 2 elements of domain has relation with 1 range

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