Given the function F (x) = x2 -2x -5 determine the average rate of change of the function over the interval -5 < x <6.

Answers

Answer 1

Answer:

1

Step-by-step explanation:

Here f(x) = x^2 - 2x - 5, which at x - -5 is 25 +10 - 5 = 30 and at x = 6 is 19.

The average value of a function f(x) over an interval [a, b] is

                  f(b) - f(a)

ave. val. = ---------------

                     b - a

which in this particular case is

                     19 - 30

ave. val. = ----------------- = -11/11 = 1

                     6 - (-5)

The average value of this function f(x) = x^2 - 2x - 5 on [-5, 6] is 1.


Related Questions

Трикутна піраміда побудована з 10 однакових кульок так,
Як показано на малюнку 1. На кожній кульці написана
одна з букв A, B, C, D чи Е і кожна буква написана на двох
кульках. На малюнку 2 зображено вигляд цієї піраміди з
трьох різних боків. Яка буква на кульці зі знаком питання?

Answers

Answer:

Sorry I don't know this language

3. Find the products.
a) (a? + 4) (a? – 4)​

Answers

Answer:

a^2-16

Step-by-step explanation:

you just a.a+a.-4+4.a+4.-4=a^2-16

Please help me i don't have that much time

Answers

Answer:

D) 128

Step-by-step explanation:

4(0.5)^-5

4(32)

128

What is the distance between the points (-4,5) and (8,9)​

Answers

I hope this is what you were looking for.

Select ALL rational numbers below.

Answers

Answer:

27/sqrt9, 4^2 are the rational numbers

Step-by-step explanation:

All the other ones do not terminate, so this leaves these as the answers.

hope this helps!

All points of a sphere are ______ equal distances to its center.
Always
Never
Sometimes

Answers

A) Always

In a perfect sphere the centre is an equal distance from any point from the surface.

THANK YOU!!

Sidhdi

Can any of you guys help my cousin with her homework its very confusing to me I'm not very good at math so please help her she gotta have everything turned in by Friday!!

Answers

Simplify 5/15: the numerator and denominator are both multiples of 5, so the fraction can be reduced to 1/3 by dividing the top & bottom by 5. 5/15 of a rectangle is the same as 1/3 of a rectangle.

Compare 1/2 and 5/7:
The simplest way is to ask if 5/7 is more than one half. Half of 7 is 3.5, and 5 is greater than 3.5, so 1/2 < 5/7.
The way that is a little more work is to get a common denominator and make equivalent fractions of 7/14 and 10/14.

Fraction to decimal of 4/5. 4 divided by 5 = 0.8

Decimal to fraction, 0.78:
0.78 = 78 hundredths = 78/100 as a fraction. They usually want fractions in the lowest terms, so divide the numerator and denominator by two, and you have 39/50.

Mixed to improper fraction 5 2/9: multiply the denominator of 9 times the whole number of 5, that equals 45. Add the 2 in the numerator, that is 47. Keep that over 9, because we are trying to figure out how many ninths we have. 5 2/9 = 47/9

Add ‘em 3/5 + 1/2:
Make equivalent fractions with a common denominator. (10 is the least/lowest common denominator). So we are adding 6/10 + 5/10 = 11/10 or 1 1/10.

Improper to mixed, 9/4:
We have 9 fourths. 4 fourths = 1 whole. So we get 2 wholes with 1/4 left over. 9/4 = 2 1/4.

Subtract ‘em, 3/10 - 1/5.
Again, need a common denominator/equivalent fraction. 1/5 = 2/10
3/10 - 2/10 = 1/10

Draw it, 1/3:
The circle is already divided into thirds. Shade one of them in.

Multiply ‘em 2/3 x 5:
Multiply the numerator times the whole number, leave the denominator alone. 2/3 x 5 = 10/3 = 3 1/3 if they want it converted to a mixed number.

Divide ‘em: 8/9 divided by 3 is 8/27

What’s the word?
4 x 1/2 = 2 (what is one half of 4?)

Word up:
3/5 divided by 3 = 1/5

Your grade? 14/14 = 100%

Please let me know if you have questions. Please mark brainliest if you can :) Thank you!

Which points make the equation below true?

y = 43x + 5
a. (1 , 7)
b. (6 , 13)
c. (21 , 33)
d. (99 , 137)

Answers

Answer:

b,c,d

Step-by-step explanation:

if its 43x, none of the point is true.

if its 4/3x:

a. Not true 4/3(1) + 5 = 6 1/3

b. True 4/3(6) + 5 = 13

c. True 4/3(21) + 5 = 33

d. True 4/3(99) + 5 = 137

Calculate the commission amount for the sale.

7% commission on a $2,560 sale​

Answers

Answer:

$179.2

Step-by-step explanation:

7% of 2,560 is 179.2

A countrys population in 1990 was 145 million. In 1998 it was 151 million. Estimate the population in 2015 using the exponential growth formula. Round your answer to the nearest million

Answers

Answer:

The population in 2015 will be 165 million.

Step-by-step explanation:

The exponential growth formula is given by:

[tex] f(t) = a(1 + r)^{\Delta t} [/tex]

Where:

a: is the initial population

r: is the rate of increase

Δt: is the time        

With the initial information we can find the rate:

[tex] 151 = 145(1 + r)^{1998-1990} [/tex]      

Using logarithm:                                    

[tex] ln(151) = ln(145) + 8[ln(1 + r)] [/tex]  

[tex] ln(1 + r) = \frac{ln(151) - ln(145)}{8} [/tex]                        

[tex] ln(1 + r) = 5.0683 \cdot 10^{-3} [/tex]          

Using exponential:          

[tex] e^{ln(1 + r)} = e^{5.0683 \cdot 10^{-3}} [/tex]

[tex] r = 5.081 \cdot 10^{-3} [/tex]        

Now, we can find the estimated population in 2015:

[tex] f(t) = 151(1 + 5.081 \cdot 10^{-3})^{2015-1998} [/tex]              

[tex] f(t) = 165 [/tex]              

Therefore, the population in 2015 will be 165 million.

I hope it helps you!

The sum of the real numbers x and y is 11. Their differences is 5. What is the value of xy

Answers

The sum of the real numbers x and y is 11. Their difference is 5. what is the value of xy? Y=3

Which decimal is equivalent to 1/3​

Answers

Answer:

0.3 with the 3 being repeated

In ΔBCD, the measure of ∠D=90°, the measure of ∠B=71°, and DB = 67 feet. Find the length of BC to the nearest tenth of a foot.

Answers

Answer:

in triangle BCD

relationship between base and hypotenuse is given by cos angle

cos 71=b/h

cos71=BD/BC

cos71=67/x

x=67/cos71=205.8ft.

the length of BC to the nearest tenth of a foot is 206ft.

Write a fraction for each percent.

75% of 96

Answers

Answer:

72/96

Step-by-step explanation:

Will spent $40 at the fair. It cost $20 to get in the fair and $0.50 per ticket to ride the rides. How many tickets did Will buy? A. 40 B. 20 C. 120 D. 30

Answers

Answer:

B.20

Step-by-step explanation:


can someone help me to solve these two problems pls I will really appreciate I will mark you the brainly!

Answers

Answer:

12. 524 in³ (3 sig. fig.)   13. 2000 cm³ (3 sig. fig.)

Step-by-step explanation:

12. Volume of sphere = (4/3)πr³

= 500/3π

= 524 in³ (3 sig. fig.)

13. Volume of cylinder = πr²h

= 7²π(13)

= 637π

= 2000 cm³ (3 sig. fig.)

Ivy bought a new pair of basketball shoes that were on sale for 25% off. If
the regular price of the shoes was $75.95, what is the amount of discount?

Answers

18.99 is the discount

The Adams family bought a small piece of land in the hill country. The plot is in the shape of a rectangle and measures about 50 yards by 41 yards. What is the area of the plot?

Answers

Given:

The dimensions of a rectangular plot are 50 yards by 41 yards.

To find:

The area of the plot.

Solution:

We know that, the area of a rectangle is

[tex]Area=Length\times width[/tex]

So, the area of the rectangular plot is:

[tex]Area=50\times 41[/tex]

[tex]Area=2050[/tex]

Therefore, the area of the rectangular plot is 2050 square yards.

plzzz help me with this math im so confused!!

Answers

Answer:

I have made it in above picture

Answer:

2 A.)

1) 3-4x+8x^2-6+2x-5x^2

2) 8x^2-5x^2-4x+2x+3-6

3) 3x^2-2x-3

B.) 3x-5-7x^2+2+6x^2+5x

Step-by-step explanation:

please mark brainiest

please give 5 stars

thank you

What is the measure of b

Answers

Answer:

abcd

Step-by-step explanation:

efg

PLS HELP. If the spinner shown below was used 100 times, how many times can you expect to spin a number greater than 3?

3
60
2
40​

Answers

Answer:

60 times

Step-by-step explanation:

Write the equation in standard form of a line that is parallel to the graph of 2x + y = 5 and whose y - intercept is (0,4).

Answers

The line that is parallel to this line will have the same slope of this line, as the two will never intersect. They will run side by side. The line y = 2x - 5 is written in slope-intercept form, which is y = mx + b. The value of m represents the slope, and in this equation m = 2. Therefore, the line we are looking for will have a slope of 2 also.

That line should also be in slope-intercept form. We now know the value of m, but we also know the value of x and y. The ordered pair (8, 10) is a point on the line, and every ordered pair is in the form (x, y). Therefore, x = 8 and y = 10. We can plug those values into y = mx + b, along with m = 2. That gives us:

10 = 2(8) + b We need to solve for b.

10 = 16 + b

b = -6

a + 7a+3ab-2ab-1+6 Simplify ​

Answers

Answer:

8a + ab + 5

Step-by-step explanation:

1. a + 7a+3ab-2ab-1+6

2. combine like terms

(a + 7a) + (3ab - 2ab) + (-1+6)

8a + ab + 5

Answer:

8a + ab + 5

Step-by-step explanation:

combine like terms. like term have same variables

a and 7a  ; 3ab and (-2ab) ; (-1) and 6 are like terms

a + 7a + 3ab - 2ab - 1 + 6 = 8a + ab + 5

what is the distance between the points (-5,-4) and (3,-3). ​

Answers

Distance=√[{3-(-5)}²+{-3-(-4)}²]=√[{8}²+{1}²]=√[64+1]=√65

Distance=√65=8.06 (approx)

The rectangle below has an area of 70 square meters. Find the dimensions of the rectangle. (x - 11) (x - 8)

Answers

Answer:

the dimensions of the rectangle are 10 and 7.

Step-by-step explanation:

Given;

area of the rectangle, A = 70 m²

dimensions of the rectangle, = x - 11 and x - 8

The area of rectangle is calculated as;

A = L x B

70 = (x - 11)(x - 8)

70 = x² - 8x - 11x + 88

0 = x² - 8x - 11x + 88 - 70

0 = x² - 19x + 18

0 = x² - x - 18x + 18

0 = x(x - 1) -18(x - 1)

0 = (x - 18)(x - 1)

0 = x - 18     or    

0 = x - 1

x = 18 or 1

The dimensions of the rectangle are calculated as;

L = 18 - 11  = 7

B = 18 - 8 = 10

Therefore, the dimensions of the rectangle are 10 and 7.

A 8 foot length of 4 inch wide crown molding costs $15. How much will it cost to buy 38 feet of crown molding?

Answers

Answer:

$71.25

Step-by-step explanation:

cost of one feet of molding = $15/8 = $1.875

Cost of  38 feet of crown molding = $1.875 x 38 = $71.25

Please help i dont know if this is right? ​

Answers

"just do it"- adidas

just yolo it

in these equations a represents the vertical stretch or compression. A -a inverts the graph. h represents the horizontal transformation x-h translates to the right, x+k translates to the left. K translates vertically + up - down. Your B & C answers are correct. You need to fix your A & D answers.

Which inequality represents "six times a number is less than negative thirty-nine and three-quarters"?

Answers

Answer:

6*n < - (39 + 3/4)

Step-by-step explanation:

Let's do it in steps:

"Six times a number" can be written as:

6*n

Where n is the "number"

"... is less than negative thirty-nine and three-quarters "

then we have:

6*n < - (39 + 3/4)

This is the inequality we wanted, now we can also solve this for n as:

n < -(39 + 3/4)/6

Given the two equations:
y + x = 5
-2x = -1
0) Draw the graphs of both equations on the same pair of axes by using a scale of 1cm to
represent 1 unit on both axes.

Use your graph to determine the point of intersection.

Answers

Answer:

Step-by-step explanation:

I can draw graphs on the application

eq1)  is a line through y = 5 with a negative slope of -1    y = -x + 5

eq2) is a vertical line at x = 1/2  NO y intercept or slope  

       -2x = -1 --->  x = -1/-2    =  1/2

They intersect at    

       y = -x + 5      and x = 1/2      Substitute x=1/2 into

       y = -1/2 + 5

       y = 4.5

intersect at  (1/2, 4.5)

       

Please answer this quickly

Answers

Answer:

Polymomial with 4 terms i believe

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