What is the average rate of change for f(x) = 2 ^ x + 10 over the interval 2 <= x <= 4

Answer: 2/2

Step-by-step explanation:

6 x 2/2 =6

Answer:

[tex]( - x + 5)(x + 2) + (x - 3)(x - 4)[/tex]

where as; x = - 6

Solution

[tex](x + 5)(x + 2) + (x - 3)( x - 4)[/tex]

[tex]( - 6 + 5)( - 6 + 2) + ( - 6 - 3)( - 6 - 4)[/tex]

[tex] (- 1)( - 4) + ( - 9)( - 10)[/tex]

[tex]4 + 90[/tex]

[tex]94[/tex]

The answer is 94.

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Answer:

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Answer:

Step-by-step explanation:

The discriminant must be zero.

Discriminant = (-48)^2 - 4*9k = 2304 - 36K

36k = 2304

k = 64

Using the square of a subtraction, it is found that k = 64.

It is a notable product, given by:

[tex](ax - b)^2 = a^2x^2 - 2abx + b^2[/tex]

In this problem, the expression is:

[tex]9x^2 - 48x + k[/tex]

We want it to be the square of a binomial, hence:

[tex]a^2x^2 - 2abx + b^2 = 9x^2 - 48x + k[/tex]

Then, comparing both sides, first the value of a is found:

[tex]a^2 = 9[/tex]

[tex]a = \sqrt{9}[/tex]

[tex]a = 3[/tex]

Then, with the second term, the value of b is found.

[tex]2ab = 48[/tex]

[tex]6b = 48[/tex]

[tex]b = \frac{48}{6}[/tex]

[tex]b = 8[/tex]

Finally, the value of k is found.

[tex]k = b^2 = 8^2 = 64[/tex]

You can learn more about the square of a subtraction at https://brainly.com/question/9239489

Answer:

Listen to music or watch a video about what your about to study. Or do what I do... eat while studying

Step-by-step explanation:

Answer: -3x-5y

Step-by-step explanation:

Answer: 1,4,6

Step-by-step explanation:

https://quizlet.com/483245104/geometry-parallelogram-quiz-flash-cards/

Answer:

Kindly check explanation

Step-by-step explanation:

Given the data:

**American:**

11.1, 10.8, 10.8, 10.3, 10.3, 10.1,10.0, 9.5, 9.4, 9.3, 9.2, 9.2, 9.0, 8.3

**National:**

14.0, 11.6, 10.4, 10.3, 10.2, 9.5, 9.5, 9.5, 9.5, 9.1, 8.8, 8.4, 8.3, 8.2, 8.1, 7.9

Kindly view attached picture for boxplot :

Using the relation :

Mean ± Zcritical * s/sqrt(n)

Zcritical at 95% = 1.96

National league :

Mean = 9.58125

Standard deviation = 1.5

9.58125 - 1.96 * 1.5/4 = 8.84625

9.58125 + 1.96 * 1.5/4 = 10.31625

(8.84625 ; 10.31625)

American League :

Mean = 9.807

Standard deviation = 0.805

9.807 - 1.96 * 0.805/sqrt(14)= 9.3853152

9.807 + 1.96 * 0.805/sqrt(14) = 10.228684

(8.84625 ; 10.31625)

3   x   2         6

--        --    =   --

5        3         15

6/15 can be simplified to 2/5.

---

hope it helps

Answer:

9a^2 - 6a

taking common

3a(3a-2)

Answer:

£2509

Step-by-step explanation:

3200x0.941*4 =2509

Answer:0.625 or 5/8

Step-by-step explanation:

Answer:

20 cubic feet.

From feet: length (ft) × width (ft) × height (ft) = cubic feet.

From inches: length (in) × width (in) × height (in) ÷ 1728 = cubic feet.

From yards: length (yd) × width (yd) × height (yd) × 27 = cubic feet.

If you need to convert to cubic feet from inches: divide the final number (i.e. the total you get after multiplying the three dimensions together

The perimeter of qudrilateral ABCD, to the nearest tenth is: 14.6 units.

Perimeter of a quadrilateral = sum of all its four sides.

Given the qudrilateral with the vertices:

Use the distance formula, [tex]d = \sqrt{(y_2 - y_1)^2 + (x_2 - x_1)^2}[/tex] to find AB, BC, CD, and AD.

AB = √[(1−3)² + (3−5)²]

AB = √8 = 2.8 units

BC = √[(1−3)² + (3−(−1))²

BC = √20 = 4.5 units

CD = √20 = 4.5 units

AB = √8 = 2.8 units

Perimeter of qudrilateral ABCD = 2.8 + 4.5 + 4.5 + 2.8 = 14.6 units.

Learn more about the perimeter of a quadrilateral on:

https://brainly.com/question/9145366

Answer:

A

Step-by-step explanation:

Equation for a circle of radius r, centered at (h,k):

(x-h)² + (y-k)² = r²

The coordinates of the center and the measure of the radius for a circle given are center = (3,7), radius = √2.

A circle is a shape or a curve in a plane that has a fixed distance, called the radius, from a given point, called the center. A circle is also the set of all points that are equidistant from the center.

Given is an equation of a circle, we need to find coordinates of the center and the measure of the radius for a circle,

The equation of the circle =

(x - 3)² + (y - 7)² = 2

The standard equation for a circle of radius r, centered at (h,k):

(x-h)² + (y-k)² = r²

Comparing both we get,

(h, k) = (3, 7)

r² = 2

r = √2

Hence, the coordinates of the center and the measure of the radius for a circle given are center = (3,7), radius = √2.

Learn more about circle, click;

https://brainly.com/question/29142813

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Answer:

the first one is steeper because it took off before the other plane and it is still below the other plane, which means that the hills deeper and it's going to take it longer to take off and get in the air.

Step-by-step explanation: I hope this is what you were looking for let me know if not and I will delete my answer ;)

Answer:

download symbolab or download photo math it gets I covered on most of that your grade should go up

Answer: How to solve equations

Step-by-step explanation:

You have to use Pemdas the order of operations to solve these types of equations.

Parenthesis,Exponents,multiplication,Division,Addition,subtraction.

Multiplication and division fit in a group left to right.

Addition and subtraction come last but depends on which comes first left to right.

Here you first have to use the distributive property.

3(y+5)=39 multiply 3 times y that gives you 3y. Then multiply 3 times 5 that gives you 15 . So, now you have simplified the left side of the equal sign so you have 3y+15=39 now subtract 15 from both sides and you get 3y=24 then you divide both sides by 3 to get y=8. What I just went over you do again and again to solve all these types of equations. Your trying to solve for the variable so you try to get y or m or n or any variable by itself.

30 combinations is the answer.

Step-by-step explanation:

Each meal comes with a choice of hamburgers, pizza, hot dogs , cheeseburgers or tacos means 5 options.

And a choice of root beer lemonade, milk , coffee, tea or cola means 6 options.

So, possible combination can be =  combinations.

Answer:

She can buy 13 bananas

Step-by-step explanation:

She has 11.75 and each banana costs .89

Start by dividing 11.75/.89 = 13.20

She will be able to buy 13 bananas total since she cannot buy a portion of a banana (0.2) so she will just have some leftover change.

Answer:

x=28

Step-by-step explanation:

when the angles are supplementary add them together and set them to 180 after doing so you'll have

4x+2x+12=180

now you combine like terms and then solve for x

Answer:

-4

Step-by-step explanation:

by finding the exact value.

Answer:

1.     x=-10/3

2.    x=7/3

Step-by-step explanation:

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Answer:

11 buses

Step-by-step explanation:

215 divided by 20 is 10.75 and rounding up makes more sense for this problem, so 11 buses would be needed to carry the entire 7th grade.

Answer:

To find the area of a composite figure, separate the figure into simpler shapes whose area can be found. Then add the areas together. Be sure than none of the simpler figures have overlapping areas. To calculate the area of a composite shape you must divide the shape into rectangles, triangles or other shapes you can find the area of and then add the areas back together. To find the area of a rectangle, multiply its height by its width. For a square you only need to find the length of one of the sides (as each side is the same length) and then multiply this by itself to find the area. This is the same as saying length2 or length squared.

Answer:

Step-by-step explanation:

C

Answer:

D!

Step-by-step explanation:

Desmos has a free graphing calculator for future references :)

Answer:

126

Step-by-step explanation:

9 by 10 is 90

9 by 4 is 36

90+36= 126

Hope this helps <3

Answer:

The sample size necessary is 237.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.96}{2} = 0.02[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.02 = 0.98[/tex], so Z = 2.056.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

Find the sample size necessary to estimate that mean with a 15-minute sampling error.

A sample size of n is necessary.

n is found when [tex]M = 15[/tex]

We have that [tex]\sigma = 112.2[/tex]

So

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]15 = 2.056\frac{112.2}{\sqrt{n}}[/tex]

[tex]15\sqrt{n} = 2.056*112.2[/tex]

[tex]\sqrt{n} = \frac{2.056*112.2}{15}[/tex]

[tex](\sqrt{n})^2 = (\frac{2.056*112.2}{15})^2[/tex]

[tex]n = 236.5[/tex]

Rounding up,

The sample size necessary is 237.