Please answer correctly! I will mark you as Brainliest! The pictures go together!

Given:

Consider the given function is:

[tex]f(x)=x^2-8x+13[/tex]

To find:

The average rate of change of the function over the interval [tex]-1\leq x\leq 6[/tex].

Solution:

The average rate of change of the function f(x) over the interval [a,b] is:

[tex]m=\dfrac{f(x_2)-f(x_1)}{x_2-x_1}[/tex]

We have,

[tex]f(x)=x^2-8x+13[/tex]

At [tex]x=-1[/tex],

[tex]f(-1)=(-1)^2-8(-1)+13[/tex]

[tex]f(-1)=1+8+13[/tex]

[tex]f(-1)=22[/tex]

At [tex]x=6[/tex],

[tex]f(6)=(6)^2-8(6)+13[/tex]

[tex]f(6)=36-48+13[/tex]

[tex]f(6)=1[/tex]

Now, the average rate of change of the function f(x) over the interval [tex]-1\leq x\leq 6[/tex] is:

[tex]m=\dfrac{f(6)-f(-1)}{6-(-1)}[/tex]

[tex]m=\dfrac{1-22}{7}[/tex]

[tex]m=\dfrac{-21}{7}[/tex]

[tex]m=-3[/tex]

Therefore, the average rate of change of the function f(x) over the interval [tex]-1\leq x\leq 6[/tex] is -3.

Answer:

10

Step-by-step explanation:

There's probably a lot of ways you could solve this. I think what I would do is find the top angle of the big triangle first because it will be the same as the angle accross from it in the little triangle. We'll call this angle X1 for the big triangle and X2 for the little triangle.

X1 = X2

TAN(X1) = opposite/adjacent

TAN(X1) = 50/40

X1 = CoTAN(50/40)

X1 = 51.34 = X2

TAN(X2) = d/8

TAN(51.34) = d/8

d = TAN(51.34) * 8

d = 10

If you're unfamiliar with trig functions you could also use a proportion.

[tex]\frac{50}{40} =\frac{d}{8}[/tex]

cross multiply to get

400 = d*40

divide by 40

d = 10

Now that I look at it, that's probably the way they want you to do it, but as you see, it works either way!

Answer:

An event that is certain to happen has a probability of 1. An event that cannot possibly happen has a probability of zero. If there is a chance that an event will happen, then its probability is between zero and 1

Step-by-step explanation:

Answer:

The Yellow card is used as a warning as a result of the actions of a player on the field

The critical value of t has probability 0.10 to the right with 8 degrees of freedom is 1.3968.

The Probability in mathematics is the possibility of an event in time. In simple words, how many times that incident is happening in any given time interval.

Given:

The t-distribution with 8 degrees of freedom has probability 0.10 to the right of t.

That is, df = 8,

α = 0.10 by using these values, the critical value of t is obtained.

From the t-distribution table:

The critical value is 1.3968.

The critical value of t has probability 0.10 to the right with 8 degrees of freedom is 1.3968.

Therefore, the critical value of t has probability 0.10 to the right with 8 degrees of freedom is 1.3968.

To learn more about the probability;

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Answer:

60%

Step-by-step explanation:

30            60

----     =     ----         =  60%

50            100

Answer:

The answer is B.

Step-by-step explanation:

As you can see, box plot A is symmetrical so that applies to answers A and B. However, box B is very skewed to the right which makes it positively skewed so answer B is the only one that matches the correct description of the two box and whisker plots.

We can conclude that the distribution for town A is symmetric, but the distribution for town B is positively skewed.

An interquartile range is a measure of the difference between the upper and lower quartiles of a dataset.

W can find the values of the upper and lower quartile and median from a box plot.

The middle line is the median and the first line is the lower quartile and the last line is the upper quartile.

The formula used is Upper quartile - Lower quartile.

We have,

The distribution for town A is symmetric, but the distribution for town B is positively skewed.

We can determine the skewness of the distributions by comparing the position of the median with respect to the quartiles.

In town A,

The median (30) is located at the center of the box, and the first and third quartiles (20 and 40, respectively are equidistant from the median.

This indicates a symmetric distribution.

In town B,

The first and third quartiles (20 and 30, respectively) are closer to the median (25) on the left-hand side of the box than on the right-hand side. This indicates a positively skewed distribution.

Therefore,

We can conclude that the distribution for town A is symmetric, but the distribution for town B is positively skewed.

Learn more about the interquartile range here:

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Answer:

it is 6 centimeters

Step-by-step explanation:

3*2=6

Answer:

24Г7392 is the correct answer

Answer:

5e+14

Step-by-step explanation:

999,999,999,999.99 x 500=5e+14

hope i helped

can u plzz mark me brainlest

Answer:

Yes, because it is a closed shape with straight lines.

Answer:

~1.47 hours or ~88.2 mins

Step-by-step explanation:

It costs $17 an hour, 25.5/17 = ~1.47

Answer:

121.21 people per square mile

Step-by-step explanation:

area = 1/2(12 + 21)(14) = 231 mi²

28,000/231 = 121.21 people per square mile

Answer:

Yes they are equivalent, both equations equals [tex]15d+20[/tex]

Step-by-step explanation:

We first simplify Olivia's equation

[tex]6d + 8 + 9d + 12[/tex]

1. we combine like terms in the equation: [tex]6d + 8 + 9d + 12[/tex]

[tex]6d+9d[/tex]

[tex]8+12[/tex]

[tex]15d+20[/tex]

Now we simplify Isabella's

[tex]5(3d + 4)[/tex]

1. we do distributive property

[tex]5*3d[/tex]

[tex]5*4[/tex]

[tex]15d+20[/tex]

If you have any quesitons feel free to ask

Answer:

y=-4

Step-by-step explanation:

Answer:

7.1

Step-by-step explanation:

the radius is half of that or 1.5

soooooooo

A=π*1.5*2

Answer:

D

Step-by-step explanation:

to get average you need to add everything and divide by the number of the datas there are, which is the mean

Answer: 23 feet

Step-by-step explanation:

The question simply means that we should calculate the radius of the circle. In this case, the area has been given to be 1661ft².

Area of a circle = πr²

πr² = 1661ft²

3.14(r²) = 1661

r² = 1661 / 3.14

r² = 528.98

r = ✓528.98

r = 23

The solution is 23 feet.

Answer:

25.35

Step-by-step explanation:

Area of the shaded portion = Area of semicircle - Area of the right triangle

Area of semicircle = πr²/2

Area of semicircle = 3.14(6)²/2

Area of semicircle = 3.14 * 18

Area of semicircle = 56.52

Area of triangle = 1/2 * base * height

Get the height using the SOH CAH TOA identity

sin 60 = H/12

H = 12sin60

H = 12(0.8660)

H = 10.39

Get the base

12² = b²+10.39²

144 = b²+108

b² = 144 - 108

b² = 36

b = 6

Area of triangle = 1/2 * 6 * 10.39

Area of triangle = 3 * 10.39

Area of triangle = 31.17

Area of shaded portion = 56.52 - 31.17

Area of shaded portion = 25.35

Answer:

Part A: A

Part B: [tex]x+18=8(2x-6)-18x[/tex]

Step-by-step explanation:

When in Step 1, the equation is multiplied by two, the second term, -9x, is not doubled as well. Thus the answer above for Part B, is what Step 1 should look like.

Finishing evaluating the problem:

[tex]x+18=16x-48-18x[/tex]

[tex]x+18=-2x-48[/tex]

[tex]3x=-66[/tex]

[tex]x=-22[/tex]

QED

Answer:

( 2m - n + p )² - ( 2m + n - p )² = 4m² + n² + p² - 4mn + 4mp - 2np - ( 4m² + n² + p² + 4mn - 4mp - 2np ) = 4m² + n² + p² - 4mn + 4mp - 2np - 4m² - n² - p² - 4mn + 4mp - 2np = -8mn + 8mp

Answer:

80 miligrams

Step-by-step explanation:

100 / 250 = 0.4

0.4 * 200 = 80

I guess A i don't know hope the answer is correct

Answer:

r=5  O(1;-12)

Step-by-step explanation:

x² + y² -2x + 24y +120 = 0

⇒ x²-2x+1+ y²+ 24y+144-145+120 = 0

⇒ (x-1)²+ (y+12)²=25   and    (x-h)² + (y-k)² =r²

so, h=1          k=-12       r=√25=5

center is O(h;k)   O(1;-12)

Answer

False

Step-by-step explanation:

The max number is 1 and so the unlikelier the number, the less value the number will be.

For example: The likelyhood of fliping a coin and landing on heads: 0.5

Hopes this makes sense!

Answer:

They are the same.

Step-by-step explanation:

12 divided by 15 = .8 and 8 divided by 10= .8

.8=.8

Hope this helps!

Answer:

Yes, and see below for sentences.

Step-by-step explanation:

Yes, they do have the same value. If you create equivalent fractions for each of them with a common denominator, you can compare the numerators to each other.

12/15 is equal to 24/30 when you multiply numerator and denominator by 2, and 8/10 is equal to 24/30 when you multiply numerator and denominator by 3.

Please let me know if you have any questions.