Find the average rate of change of a function that contains the points (-2,3) and (2,5). -2, -1/2, 1/2, 2

Answer:

11

Step-by-step explanation:

If the set of numbers are not in least to greatest first set them up into their positions. But since this set is already in least to greatest we can go to the next step.

6, 7, 10, 12, 12, 13

Cross off all numbers until you get to the middle:

6, 7, 10, 12, 12, 13

Find the mean of the numbers in the middle:

10 + 12 = 22

22 / 2 = 11

The answer is 11

Hope this helped.

Answer:

11

Step-by-step explanation:

10+12=22

22÷2=11

median is equal to the middle number after being arranged in ascending order.

Answer: x = 6

Step-by-step explanation:

Sume 17 a ambos lados

5(3x-4)-17 + 17=5(x+8)-17 +17

Simplifica

5(3x-4)=5(x+8)

Expandir 5(3x -4) : 15x - 20

Expandir 5(x+8) : 5x +40

15x - 20 = 5x +40

Sume 20 a ambos lados

15x - 20 + 20 = 5x +40 +20

Simplifica

15x = 5x +60

Restar 5 de ambos lados

15x - 5x = 5x + 60 - 5x

Simplifica

10x = 60

Divide ambos lados entre 10

10x/10 = 60/10

Simplifica

x = 6

Answer:

I think it's the zero property

Step-by-step explanation:

Step-by-step explanation:

here's the answer to your question

Answer:

BFG = 135

Step-by-step explanation:

The angles are alternate interior angles and alternate interior angles are equal when the lines are parallel

3x+15 = 5x-5

Subtract 3x from each side

3x+15-3x = 5x-5-3x

15 = 2x-5

Add 5 to each side

15+5 = 2x-5+5

20 = 2x

Divide by 2

20/2 = 2x/2

10 =x

We know that AFG + BFG = 180 since it forms a straight line

AFG + BFG = 180

3x+15 + BFG = 180

3(10) + 15  + BFG = 180

30+15 + BFG = 180

45 + BFG = 180

BFG = 180-45

BFG = 135

Answer:

<BFG = 135

Step-by-step explanation:

They are the same angle, so they will be equal to eachother.

3x + 15 = 5x - 5

-3x          -3x

----------------------

     15   = 2x - 5

     +5           +5

-----------------------

     20 = 2x

     -----   ----

       2      2

      10 = x

3(10) + 15

30 + 15

   45

180-45 = 135

The answer is 135.

Answer:

the answer is 21

Step-by-step explanation:

Answer

1 + 5 ÷ 5

This would equal 2, using BIDMAS.

Answer:

My best guess rn is the first option

Step-by-step explanation:

the last dude had it close but it was basically flipped as you can tell.

The answer is (C) [tex]R_2=\frac{R_TR_1}{(R_1-R_T)}[/tex]

We need to make [tex]R_2[/tex] the subject of the formula [tex]R_T=\frac{R_1R_2}{R_1+R_2}[/tex]

First remove the denominator by multiplying both sides by the binomial [tex](R_1+R_2)[/tex]

[tex]R_T\times (R_1+R_2)=\frac{R_1R_2}{R_1+R_2}\times(R_1+R_2)\\\\R_TR_1+R_TR_2=R_1R_2[/tex]

Arrange all terms containing [tex]R_2[/tex] on one side

[tex]R_1R_2-R_TR_2=R_TR_1[/tex]

Factor out [tex]R_2[/tex] from the LHS

[tex]R_2(R_1-R_T)=R_TR_1[/tex]

Finally, divide both sides by the binomial [tex](R_1-R_T)[/tex] to leave [tex]R_2[/tex]

[tex]R_2(R_1-R_T)\times\frac{1}{(R_1-R_T)}=R_TR_1\times\frac{1}{(R_1-R_T)}\\\\R_2=\frac{R_TR_1}{(R_1-R_T)}[/tex]

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Answer:

The choose B. f(x)=3|x-5|

I hope I helped you^_^

Using the Central Limit Theorem, the mean height that is most likely closest to the average height of the population is:

B. 57.

It states that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

The interpretation of the equation for the standard error is that larger sample sizes will lead to estimates closer to the actual population parameters.

From the table, the largest sample size in this problem is of 40, and this sample had a mean of 57, hence the mean height that is most likely closest to the average height of the population is:

B. 57.

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Answer:

Step-by-step explanation:

Sin 61  = 47/X

(X=AB)

X = 53.73764119

The Sine or Sinθ in a right-angle triangle is the ratio of its perpendicular to its Hypotenuse. The correct option is A.

The Sine or Sinθ in a right-angle triangle is the ratio of its perpendicular to its Hypotenuse. It is given as,

Sin(θ) = Perpendicular/Hypotenuse

where,

θ is the angle,

Perpendicular is the side of the triangle opposite to the angle θ,

The hypotenuse is the longest side of the triangle.

In the given triangle, for ∠B we can write the perpendicular is 47, and the hypotenuse is AB.

Using the Sine ratio for the angle B, we can writte,

Sin(∠B) = AC/AB

Sin(61°) = 47/AB

AB = 53.74 units

Hence, the correct option is A.

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Answer:

im not sure, but i have

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

The sum to n terms of a geometric series is

[tex]S_{n}[/tex] = [tex]\frac{a_{1}(r^{n}-1) }{r-1}[/tex]

where a₁ is the first term and r the common ratio

Given a₁ = 3 and r = - 2 , then

3 × - 2 = - 6

- 6 × -2 = 12

12 × - 2 = - 24

- 24 × - 2 = 48

48 × - 2 = - 96

- 96 × - 2 = 192

The positive terms are in a geometric progression

3, 12, 48, 192, ....

with a₁ = 3 and r = 12 ÷ 3 = 48 ÷ 12 = 4 , then

S₈ = [tex]\frac{3(4^{8}-1) }{4-1}[/tex] = [tex]\frac{3(65536-1)}{3}[/tex] = 65536 - 1 = 65535

Answer:

a)139°

Step-by-step explanation:

two co interior angles make one opposite exterior angle

49+90=139°

Answer:

b

Step-by-step explanation:

2/(x+2)≠1/(x+1)

please check the attachment for solutions

Answer:

[tex] - \frac{23}{10} [/tex]

Step-by-step explanation:

[tex] \frac{2}{5} \div \frac{ - 1}{2} - \frac{3}{2} [/tex]

➡️ [tex] - \frac{2}{5} \times 2 - \frac{3}{2} [/tex]

➡️ [tex] - \frac{4}{5} - \frac{3}{2} [/tex]

➡️ [tex] - \frac{23}{10} [/tex]

Answer:

y=3x - 1

Step-by-step explanation:

we are going to base the answer off of the y=mx+b form where m represents slope and b represents the y-intercept.

we know that b must be -1 because the line hits the y-axis when y is -1

this now leaves us with either the first or second choice

we then choose two points to find the slope. I am using (0,-1) and (1,2). If you count the boxes, the y-value increases by 3 as the x-value increases by 1. So the slope is 3/1 or 3.

so then we know the answer is y=3x-1

hope this helps

Answer:

£10.1

Step-by-step explanation:

Highest exchange rate=1.3401

Lowest exchange rate=1.3199

The money Khan would have received more if he exchanged currencies at the highest rate compared to the lowest rate=500*(1.3401-1.3199)=£10.1

Answer:

2 1/4 hrs

Step-by-step explanation:

2 1/4 th of an hour passes between 2:24pm and 4:40pm

Between 2:24pm and 4:40pm 2.26 part of hours has been passed.

A fraction is written in the form of p/q, where q ≠ 0.

Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.

Given, What part of an hour passes between 2:24 pm and 4:40 pm.

Now (4 : 40 - 2 : 24 ) = 2 and 16 minutes.

16 minutes is 16/60 = 4/15 or 0.26 hours.

So, in total (2 + 0.26) = 2.26 part of an hour have been passed.

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Answer:

204.2 cm

Step-by-step explanation:

equilateral means all sides are of equal length.

the perimeter of such a triangle is simply 3 times one of these sides.

so,

612.6 = 3×0.2×(10x + 90) = 0.6×(10x+90) = 6x + 54

6x = 558.6

x = 93.1

so, a single side is

0.2×(10×93.1 +90) = 0.2×(931 + 90) = 0.2×1021 = 204.2 cm

to check

3×204.2 = 612.6 = the original perimeter.

so, correct.

Answer: Choice B

Open circle at 3. Shading to the right

========================================================

Work Shown:

3(8 - 4x) < 6(x - 5)

24 - 12x < 6x - 30

24 + 30 < 6x + 12x

54 < 18x

18x > 54

x > 54/18

x > 3

We use an open circle at 3 to indicate we don't include this endpoint as part of the solution. The solution set is everything larger than 3, so we shade to the right of this open circle.

Answer:

81/10

Step-by-step explanation:

Answer:

The name of the given figure in two different ways are - J⇔U and U⇔J

Answer:

36² metres

Step-by-step explanation:

I'm assuming you mean 6 metre wide/long floor. Area is L*W so 6*6

Answer:

y= mx+ c is the linear equation for y= 2 x+1

Answer:

The 13th term is 81x + 59.

Step-by-step explanation:

We are given the arithmetic sequence:

[tex]\displaystle -3x -1, \, 4x +4, \, 11x + 9 \dots[/tex]

And we want to find the 13th term.

Recall that for an arithmetic sequence, each subsequent term only differ by a common difference d. In other words:

[tex]\displaystyle \underbrace{-3x - 1}_{x_1} + d = \underbrace{4x + 4} _ {x_2}[/tex]

Find the common difference by subtracting the first term from the second:

[tex]d = (4x+4) - (-3x - 1)[/tex]

Distribute:

[tex]d = (4x + 4) + (3x + 1)[/tex]

Combine like terms. Hence:

[tex]d = 7x + 5[/tex]

The common difference is (7x + 5).

To find the 13th term, we can write a direct formula. The direct formula for an arithmetic sequence has the form:

[tex]\displaystyle x_n = a + d(n-1)[/tex]

Where a is the initial term and d is the common difference.

The initial term is (-3x - 1) and the common difference is (7x + 5). Hence:

[tex]\displaystyle x_n = (-3x - 1) + (7x+5)(n-1)[/tex]

To find the 13th term, let n = 13. Hence:

[tex]\displaystyle x_{13} = (-3x - 1) + (7x + 5)((13)-1)[/tex]

Simplify:

[tex]\displaystyle \begin{aligned}x_{13} &= (-3x-1) + (7x+5)(12) \\ &= (-3x - 1) +(84x + 60) \\ &= 81x + 59 \end{aligned}[/tex]

The 13th term is 81x + 59.

Answer:

Step-by-step explanation:

Given equation of the quadratic function is,

y = x² + 5x - 7

Convert this equation into vertex form,

y = x² + 2(2.5x) - 7

  = x² + 2(2.5x) + (2.5)² - (2.5)² - 7

  = (x + 2.5)²- 6.25 - 7

  = (x + 2.5)² - 13.25

Therefore, vertex of the function is → (-2.5, -13.25)

For the solutions,

y = 0

(x + 2.5)² - 13.25 = 0

x = (±√13.25) - 2.5

x = (±3.64) - 2.5

x = 1.14, -6.14

Solutions → (-6.14, 0) and (1.14, 0)

Answer:

Step-by-step explanation:

2 hour

To seconds = 7200

Hope this  answer helps you :)

Have a great day

Mark brainliest