Calculate the average rate of change over the interval [1, 5] for the following function. H(x)=-2x^2-3x-1

Answer:

Step-by-step explanation:

ax² + bx + c = y

Plug in data points to get a system of equations in three unknowns.

(0.5,18): 0.25a + 0.5b + c = 18

(1,24): a + b + c = 24

(1.5,22): 2.25a + 1.5b + c = 22

Solving the system:  a = -16, b = 36, c = 4

y = -16x² + 36x + 4

When x = 1.7, y = -16·1.7² + 36·1.7 + 4 = 18.96 ft

Step-by-step explanation:

) y2 = 4x

differenting both side with respect to x

dy²/dx=d4x/dx

2y dy/dx=4

dy/dx=4/2y=2/y

Answer:

Number of dogs (x) | Amount charged to walk a dog (y)

1 | 20

2 | 40

3 | 60

4 | 80

5 | 100

6 | 120

7 | 140

8 | 160

Step-by-step explanation:

Charge for walking a dog = $20 per dog

Number of dogs = x

Amount charged to walk a dog in a day = y

Unit rate = 20

Equation to represent this is: y = 20x

Let's use this to form a table for walking 1 to 8 dogs:

For 1 dog (x):

y = 20(1) = $20

For 2 dogs (x):

y = 20(2) = $40

For 3 dogs(x):

y = 20(3) = $60

For 4 dogs:

y = 20(4) = $80

And so on till we get to tl8 dogs.

This, we should have the following table:

Number of dogs (x) | Amount charged to walk a dog (y)

1 | 20

2 | 40

3 | 60

4 | 80

5 | 100

6 | 120

7 | 140

8 | 160

Answer:

62.5

Step-by-step explanation:

The answer is

[tex] \frac{55}{12} [/tex]

and in mix fraction it will be

[tex]4 \frac{7}{12} [/tex]

and in decimal form,

[tex]4.583333[/tex]

[tex]answer \: = 4 \frac{7}{12} [/tex]

5⅚ - 1¼ =

35/6 - 5/4 =

140/24 - 30/24 = 110/24 = 4 14/24 = 4 7/12

Answer:

a...

associative property

Step-by-step explanation:

trust me

Answer:

it is A.

Step-by-step explanation:

hope this helps!

Answer:

Step-by-step explanation:

Solve for x=0 and x=1

y(0)=2(3^0)=2(1)=2 so (0,2) is a point.

y(1)=2(3^1)=2(3)=6 so (1,6) is a point.

Only graph B has those two points.

Answer:

B

Step-by-step explanation:

So for the first square we Have ab*a

When you multiply variables then you add up their powers so b^1a^1+a^1= (a^2)(b^1)

Second box is -3 * a which is equal to -3a

third box is 2b * ab = 2ab^2

fourth box is -3 *2b = -6b

36 ugugivihihigugufufuf

Answer:

13 and 14

Step-by-step explanation:

From the inequality

x + 2 x + 6 < 50

we work out the answer for x isolating it on one side of the inequality as shown below

3 x + 6 < 50

3 x < 50 - 6

3 x < 44

x < 44/3  ≅ 14.6666...

Therefore, select from the set the numbers:  13 and 14.

Answer:

C

Step-by-step explanation:

Step-by-step explanation:

The volume of a cylinder = πr²h

= 33 cubic inches

The volume of a cone = ¹/3 πr²h

If the cylinder and come share the same radius and height then ‘πr²h’ part of the formulas is the same for both;

It means the difference in proportionality is ¹/3 (because even π is the same across board). The volume of the cone is therefore;

¹/3 (33)

= 11

= 11 cubic inches

Hope this helps!

33.85 or 32.75 sorry if I am wrong

Step-by-step explanation:

for this one you have you multiply 17 by itself like this 17x17=289 but you also have to do it with the 28 to like this 28x28=784, now what you do it add up the 289+784=1,073 then you square root 1,073 which gives you 32.75 round it to the nearest tenth of needed so your will be between 33.85 or 32.75

Answer: look at the 4 picture for the answer’s

Question: 2-5c b=15

Question: 2-5c c=9

Step-by-step explanation: hope this help:)

Answer:

25 , 29, 85 , 89 , 145 , 42.

Step-by-step explanation:

The first five terms will be 25, 29, 85, 89, 145.

A sequence is defined as an arrangement of numbers in a particular order.

Given that, in a sequence, each term after the first is the sum of the squares of the digits of the previous term.

The first term is 25

Therefore, according to question,

2nd term = 2²+5² = 4+25 = 29

3rd term = 2²+9² = 4+81 = 85

4th term = 8²+5² = 64+25 = 89

5th term = 8²+9² = 64+81 = 145

Hence, The first five terms will be 25, 29, 85, 89, 145.

For more references on sequences, click;

https://brainly.com/question/21961097

#SPJ2

Answer:

It is 9%

Step-by-step explanation:

I took the test

Step-by-step explanation:

[tex] {x}^{2} = {7}^{2} + {7}^{2} \\ {x}^{2} = 98 \\ x = \sqrt{98} = 7 \sqrt{2} [/tex]

Answer:

The correct answer is C. 27 ft, 45 ft, 63 ft.

Step-by-step explanation:

Given that the ratio of the measures of the sides of a triangle is 3: 5: 7, and its perimeter is 135 feet, in order to find the measure of each side of the triangle, the following calculation must be performed:

3 + 5 + 7 = 15

135/15 = 9

9 x 3 = 27

9 x 5 = 45

9 x 7 = 63

Therefore, the measures of the sides of the triangle are 27 ft, 45 ft, and 63 ft.

a) false (89+89=178⁰ not acute!)

b) false (they could both be 90⁰ but this is the only angle that works)

c) what

d) false (92+92=184⁰ this is less than 360⁰)

can you please explain c ????

Answer:

11 dimes 20 nickels

Step-by-step explanation:

Only combo that makes $2.10

Answer:

20 inches

Step-by-step explanation:

Answer:

2/6

Step-by-step explanation:

Since you already have 6 socks in total and you already know 4 of the color socks are either green or blue, all you would have to do is 6-4 to equal 2 and therefor making 2/6

Hope this helps :)

Answer:

im very late but 2/6

Step-by-step explanation:

Step-by-step explanation:

Slope is the ratio of the vertical and horizontal distances between two points on a line.

Y-intercept is a point at which a line crosses the y-axis of a Cartesian grid.

Hope it will help :)

Step-by-step explanation:

a)

=B

b)

2.6+x= 10.4

c)

2.6+x= 10.4

x= 7.8

the pitcher was filled partially with 7.8 liters

Answer:

ℎ=7

(Hope this helps!! Btw, I am the first to answer.)

Answer:

81%

Step-by-step explanation:

Total student  = 200

Student that prefer walking = 182

Percent of those that prefer walking = student that prefer walking/total student * 100

Percent of those that prefer walking = 182/200 * 100

Percent of those that prefer walking = 182/2

Percent of those that prefer walking = 81%

Hence the required percentage is 81%