Find the average rate of change of the function f(x) - 2x² + 6x + 6, from x=-3 to x=-1. Note, the directions are equivalent to "Find the average rate of change over the interval [-3,-1]".​

Answer:

36 seconds will be the answer... by looking down here↓:

Step-by-step explanation:

6 secs x 6 cycles = 36 seconds

9 secs x 4 cycles = 36 secs

12 ses x 3 cycles = 36 secs

The area of the sector, to 4 decimal places, is 78.6794 cm².

We have given that,

Sector Area= ( angle of sector/360). R2

We have to determine the Sector Area

Area of sector = ∅/360 × πr².

We have given the following:

∅ = 46°

Radius (r) = 14 cm

Area of sector = 46/360 × π(14²)

Area of sector ≈ 78.6794 cm²

The area of the sector is approximately 78.6794 cm².

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Answer:  y/(3x^1/3)

Step-by-step explanation:

Answer: Beans cause Nia to Fart!

Step-by-step explanation:

Mexican food usually contains beans, which beans are a known catalyst of flatulence. Beans induce farts and Nia does so! Farts usually stink, so an air freshener is needed.

Answer:

390/1000

This is the answer and hope it helps

Answer:

Maybe    9     and 12   ?

Step-by-step explanation:

-6 + 9 = 3  

    then   3 + 9 = 12

           then 12 + 3 = 15      

                 each term is the sum of the two that are before it

[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad \tt \rightarrow \: f(0) = -2[/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

[tex]\qquad \tt \rightarrow \: 2 {x}^{2} - 3y = 6[/tex]

[tex]\qquad \tt \rightarrow \: 3y + 6 = 2 {x}^{2} [/tex]

[tex]\qquad \tt \rightarrow \: 3y = 2 {x}^{2} - 6[/tex]

[tex]\qquad \tt \rightarrow \: y = \cfrac{2 {x}^{2} - 6 }{3} [/tex]

[tex]\qquad \tt \rightarrow \: y = \cfrac{2 {}^{} }{3} {x}^{2} - 2[/tex]

[ here, y can be replaced with f(x) because y is a function of x ]

[tex]\qquad \tt \rightarrow \: f(x) = \cfrac{2 {}^{} }{3} {x}^{2} - 2[/tex]

[tex] \large\textsf{Find f(0):} [/tex]

[tex]\qquad \tt \rightarrow \: f(0) = \cfrac{2 {}^{} }{3} {(0)}^{2} - 2[/tex]

[tex]\qquad \tt \rightarrow \: f(0) = 0 - 2[/tex]

[tex]\qquad \tt \rightarrow \: f(0) = - 2[/tex]

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

The statement about both functions that is true is:

The domain of a function is the set of values of input for which the function is valid.

The range is the dependent variable of a set of values for which the function is defined.

Given that:

f(x) = 4 - x

For function g(x) = -1 ×[tex]\mathbf{\sqrt{x-4}}[/tex]

Therefore, from the given options, the statement about both functions that is true is:

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Answer:

Both f(x) and g(x) include domain values of [4, ∞), and both functions decrease over the interval (4, ∞).

Step-by-step explanation:

I got it right on the test.

Answer:

See below

Step-by-step explanation:

Area of a circle = pi * r^2

  for this circle  :    Area = 3.142 * 10 * 10 =  314.2 cm^2

The formula for area of a circle is [tex]\pi r^{2}[/tex]

So using pi as 3.142, we can do 3.142 • 100 which is 314.2 when moving place values.

Even though you did not ask, the circumference formula is 2[tex]\pi[/tex]r.

If we were given the same information, where the radius is 10, and we were solving circumference, then we would do 3.14 • 20 = 62.8.

Brainliest if helpful.

Answer:

side ≈ 4.24= [tex]\frac{6}{\sqrt{2} }[/tex]

Step-by-step explanation:

sides a = b

[tex]6^{2} =a^{2} +a^{2}[/tex]

[tex]6^{2} =2a^{2}[/tex]

[tex]a^{2}= \frac{6^{2} }{2} =\frac{36}{2} =18[/tex]

[tex]a=\sqrt{18} =4.24=\sqrt{(9)(2)} =\frac{6}{\sqrt{2} }[/tex]

Hope this helps

Question 1

B. Set of whole numbers

Question 2

A. Set of real numbers

If the perimeter of the square is 4x then the domain of the function will be set of rational numbers and the domain of the function y=3x+8(3-x) is set of real numbers.

Given The perimeter of the square is f(x)=4x and the function is y=3x+8(3-x)

We will first solve the first part in which we have been given that the perimeter of the square is 4x and we have to find the domain of the function.

First option is set of rational numbers which is right for the function.

Second option is set of whole numbers which is not right as whole number involves 0 also and the side of the square is not equal to 0.

Third option is set of integers which is not right as integers involve negative number also and side of square cannot be negative.

Hence the domain is set of rational numbers.

Now we will solve the second part of the question

f(x)=3x+8(3-x)

we have not told about the range of the function so we can put any value  in the function and most appropriate option will be set of real numbers as real number involve positive , negative and decimal values also.

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[tex]\tan x+\frac{\cos x}{1+\sin x}\\\\ =\frac{\sin x}{\cos x}+\frac{\cos x}{1+\sin x}\\\\=\frac{\sin x(1+\sin x)+\cos^{2} x}{\cos x(1+\sin x)}\\\\=\frac{\sin^{2} x+\cos^{2} x+\sin x}{\cos x(1+\sin x)}\\\\=\frac{1+\sin x}{\cos x(1+\sin x)}\\\\=\frac{1}{\cos x}\\\\=\sec x[/tex]

Answer:

Step-by-step explanation:

we are essentially calculating:

4(1/4)^0 + 4(1/4)^1 + 4(1/4)^2 + ... + 4(1/4)^9

Formula: [tex]\frac{a(1-r^n)}{1-r}[/tex]

4(1-(1/4)^10)/ (1-1/4) approximates to 5.33

Eric spend 60 minutes for basketball and 35 minutes for volleyball.

An equation that has the highest degree of 1 is known as a linear equation. This means that no variable in a linear equation has an exponent more than 1. The graph of a linear equation always forms a straight line.

Here, let Eric plays basketball for x minutes.

          and volleyball for y minutes.

Total time spend on playing basketball and volleyball everyday = 95 minutes.

Duration of Basketball 25 minutes more than volleyball

Now, according to question,

          x + y = 95        ..........(i)

          x - 25 = y          ...........(ii)

On solving equation (i) and (ii), we get

        x + x - 25 = 95

           2x = 95 + 25

           2x = 120

            x = 120 / 2

            x = 60

put value of x in equation (ii), we get

        60 - 25 = y

          y = 35

Yes, it is possible and clearly described in above calculation.

Thus, Eric spend 60 minutes for basketball and 35 minutes for volleyball.

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Answer:

Step-by-step explanation:

The domain is the set of x-values and the range is the set of y-values.

Answer:

Answer:

[tex]7 469.8.56[/tex]

nossa nem sei como é bom saber se fala com a mãe e o pai do mundo e vc não tem mais nada pra comer e não tem como fazer a gente vai ficar muito tempo sem fazer a mãe dela não e vc como tá o trabalho rede de nada em casa e é só pra mim né não é fácil de fazer a mãe dela e a mãe dele tá bem né não é fácil de fazer o que vc quer que Deus quiser vai dar pra mim né e não tem como fazer d id da x não vou poder é o que eu te abençoe e ilumine e ilumine todos os dias entre?01029)

Answers:

x intercept = -4

y intercept = 16

The graph is shown below.

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

Explanation:

To determine the x intercept(s), we set the expression equal to zero and solve for x. In other words, we plug in y = 0 and solve for x.

y = x^2 +8x+16​

0 = x^2 +8x+16​

x^2 +8x+16​ = 0

(x+4)^2 = 0

x+4 = 0

x = -4

There's only one x intercept. It's located at the vertex of the parabola.

The location of the x intercept is the point (-4,0)

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

To find the y intercept, we plug in x = 0 and compute like so:

y = x^2 +8x+16​

y = (0)^2 +8(0)+16​

y = 16

The y intercept is 16 which is located at (0,16)

Check out the graph below. It was made using the free app Desmos.

Answer:

[tex]x = 172.75[/tex]

Hope this help!!!

Have a good day♡

The clock was skipping 3 seconds every 30 minutes from Friday noon to Monday 6 pm.

The clock was still accurate by Friday noon. The clock was late by 468 seconds by Monday, 6 pm.

To solve the problem, we must:

Know how many 30-minutes have passed during the time period.

1 day = 24 hours

1 hour = 60 minutes = 2 × (30 minutes)

1 day = 24 hours × 2 × (30 minutes)

1 day = 48 × (30 minutes)

Thus, there are 48, 30-minutes in a day. On Friday, however, we start counting at noon, which is half of the day. Moreover, on Monday, the mark is only up to 6 pm, which is three-fourths of the day.

Friday = 48 × [tex]\frac{1}{2}[/tex] = 24

Saturday = 48

Sunday = 48

Monday = 48 × [tex]\frac{3}{4}[/tex] = 36

TOTAL = 24 + 48 + 48 + 36 = 156

Therefore, the total number of 30-minutes that have passed is 156. There were 156, 30-minutes that passed during the time period.

Divide the number of total seconds late by the number of 30-minutes passed.

That is, the number of total seconds late= 468 seconds ÷ 156

= 3 seconds  

Therefore, the clock was skipping 3 seconds every 30 minutes from Friday noon to Monday 6 pm.

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Answer:

2:45

Step-by-step explanation:

1 1/2 hour is 1 hour and 30 minutes.

If we add 30 minutes to 1:15, we get 1:45

if we add 1 hour to 1:45, we get 2:45, which is our answer.

Answer:

BEC = C. 50

BCD = A. 120

Step-by-step explanation:

BEC

65 + 65 = 130

180 - 130 = 50

BCD = 180 - 60 = 120

BEC is 50

The equation in slope-intercept form is: y = -x + 5

The equation in point-slope form is: y - 3 = -1(x - 2)

Slope (m) = rise/run = -(2/2) = -1

Y-intercept (b) = 5 (where the line intercepts the y-axis)

Using a point, (2, 3) = (a, b) and m = -1, the equation in point-slope form is:

y - 3 = -1(x - 2)

Rewrite in slope-intercept form:

y - 3 = -x + 2

y = -x + 2 + 3

y = -x + 5

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Answer:

33 elements

Step-by-step explanation:

Set A has 59 elements. Set A and Set B share 26 elements.

This means that 26 out of the 59 elements in Set A are also in set B.

Therefore, to find the number of elements not in Set B, you need to subtract the common elements from the total amount of elements in Set A.

59 (total in Set A) - 26 (common in Set A) = 33 (unshared elements).

Answer: Y

Step-by-step explanation:

Since f(x) passes through (0,3), its inverse should pass through (3,0).

Also, since f(x) has a negative slope, so its inverse should also have a negative slope.

The graph of the inverse of function is shown in figure.

We have to given that,

Function is defined as,

f (x) = - 3x + 3

Hence, The inverse of function f (x) is,

f (x) = - 3x + 3

y = - 3x + 3

Solve for x,

3x = y + 3

Divide by 3;

x = (y + 3) / 3

Hence,

f⁻¹ (x) = (x + 3) / 3

f⁻¹ (x) = x/3 + 1

Therefore, The graph of the inverse of function is shown in figure.

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The final answer of the Inventory is $3540.

The term inventory refers to the raw materials used in production as well as the goods produced that are available for sale.

FIFO means first in, first out. It means that it is the first purchased inventory that is the first to be sold

Ending inventory comprises of goods bought in May, September and November

cost of the ending inventory :

(4 x $130) + (12 x $135) + (10 x$140) = $3540

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