Question 3
If y=x2+3x, then the average rate of change of y with respect to x over the closed interval 1

Answers

Answer 1

Answer:

[tex]Rate = 19[/tex]

Step-by-step explanation:

Given

[tex]y = x^2 + 3x[/tex]

[tex]1 \le x \le 15[/tex]

Required

Determine the average rate of change

This is calculated as:

[tex]Rate = \frac{f(b) - f(a)}{b - a}[/tex]

Where

a = 1 and b = 15

So, we have:

[tex]Rate = \frac{f(15) - f(1)}{15 - 1}[/tex]

[tex]Rate = \frac{f(15) - f(1)}{14}[/tex]

Solve f(15):

[tex]f(15) = 15^2 + 3*15 = 270[/tex]

Solve f(1)

[tex]f(1) = 1^2 + 3*1 = 4[/tex]

So:

[tex]Rate = \frac{f(15) - f(1)}{14}[/tex]

[tex]Rate = \frac{270- 4}{14}[/tex]

[tex]Rate = \frac{266}{14}[/tex]

[tex]Rate = 19[/tex]


Related Questions

A man has 32 coins in his pocket, all of which are dimes and quarters. If the total value of his change is 545
cents, how many dimes and how many quarters does he have?
Your answer is
number of dimes equals
number of quarters equals

Answers

Answer:

34

=

x

+

y

34

x

=

y

565

=

10

x

+

25

y

Substitute the first equation

565

=

10

x

+

25

(

34

x

)

565

=

10

x

+

850

25

x

15

x

=

285

x

=

19 dimes

So,

34

19

=

15 quarters

Step-by-step explanation:

19 quarters is the answer.

Tyler says both 4 and 4 have an absolute value of 4. Is Tyler correct?
Use the number line and words to explain why or why not.

Answers

yeah cause absolute value is literally just the number but positive

Maura is 58 inches tall. Maura's brother Joey is 4 inches taller than she is. How tall is Joey?

Answers

Answer:

62 inches

Step-by-step explanation:

58 + 4 = 62 inches

______________ is a quadrilateral with two pairs of consecutive sides congruent and no opposite sides congruent.Immersive Reader
(7 Points)

Rhomus

Trapezoid

Kite

None of the Above

Answers

Answers

quadrilateral with two pairs of consecutive sides congruent and no opposite sides congruent is called a kite.

please help me explain what his mistake was. If possible does anyone think they can explain it in a simplified way? Thank You for your help!

Answers

Answer:

Dont think eh multiplied both sides by 4. That would be the first step.

Step-by-step explanation:

1/4(x+12)=2

multiply both sides by 4

x+12=8

move the 8 to the right side of the equation and change its sign

x=8-12

calculate

x= -4

Answer:

He didn't multiply 1/4 between both terms in the brackets.

Step-by-step explanation:

1/4(x+12)=2

1/4x+3=2

1/4x= -1

x= -4

Hope that makes sense!

What is the factored form of 18+12

Answers

6(3+2)

Step-by-step explanation:

that xas factor of 18+12

Answer:

30:)

Step-by-step explanation:

I think it's 30!!!!!

Which expressions describe the area of the shaded region? Select all that apply. A rectangle is divided into 12 columns and 6 rows, making 72 smaller rectangles. An area that includes 9 smaller rectangles and is the intersection of 3 of the 12 columns and 3 of the 6 rows is shaded. A. 3 12 × 3 6 B. 3 10 × 1 2 C. 1 4 × 1 2 D. 1 4 × 1 3 E. 4 12 × 3 6 7 / 8 4 of 8 Answered

Answers

Answer: (B) I hope that helps you

I need help please...

Answers

The answer is b
Area=[pi]r2
= [pi](12 in)2
=452.16 in2

What is the area of this figure?


PLZ HURRY thank you

Answers

Answer:

58.5

Step-by-step explanation:

9 + 33 + 16.5 = 58.5

Please help me with this!

Answers

Answer:

3. (x-6)

Step-by-step explanation:

x^2-5x-6

--

Find factors of -6 that could be added that equals to -5

Factors=

-6 and 1

x^2-5x-6 factored is (x-6)(x+1)

so the answer would be (3) (x-6)

Can someone please solve this for me btw I’m suppose to be dividing that question using long division

Answers

Answer:

0.343

Step by step explanation:

 0. 3 4 3

8    2. 7 5 0

− 0      

 2 7    

− 2 4    

   3 5  

 − 3 2  

     3 0

   − 2 4

       6

First person gets brainliest lol

Answers

Answer:

YAY

Step-by-step explanation:

Answer:

ayyy im late.. but anyway soo

10 POINTS! Answer ASAP

Answers

m5=75 degrees

m11=75 degrees

m16=65 degrees

To find 5, realize angles 5 and 8 equal 180, because they make up a straight line, line d.

180-105=75

To find 11, it is the same as finding 7. Just look at the similar sizes. Angle 7 is the same at angle 5, just turned around. There’s a term for this pair angles that I don’t remember now but it exists. Now, lines a and b are parallel, so their angles between lines that intersect both are the same too. This means, as angle 5 equals angle 7, angle 7 equals angle 11.

To find 16, we use a combination of the methods used in finding the previous angles.

180-115=65 degrees is angle 4

Angle 4=Angle 16

Knowing the two angles given and that lines a and b are parallel, you could find the measurements of every angle in each intersection if you wanted to.

Answer:

m5=75 degrees

m11=75 degrees

m16=65 degrees

Step-by-step explanation:

Helpp guyss left with this one onlyy!!!!

Answers

Answer:

[tex]m=\frac{2}{5}[/tex]

Step-by-step explanation:

1. To find the slope we need to use the slope formula, [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

2. The points that were given were (0,0) and (5,2). Let's plug those into the formula.

[tex]\frac{2-0}{5-0}[/tex]

[tex]\frac{2}{5}[/tex]

So, your slope would be [tex]m=\frac{2}{5}[/tex]

Hope this helped! C:

Write the correct association below each scatter plot.
POSITIVE LINEAR, negative linear, nonlinear ,none.

Answers

From left to right:

Negative, positive, none, nonlinear

1 is negative bc it has a negative slope

2 is positive because it has a positive slope

3 has no correlation because there is no pattern

4 is no linear because it’s not in a line, essentially. (This would be a parabola)

:)

Answer:

From left to right:

Negative, positive, none, nonlinear

1 is negative bc it has a negative slope

2 is positive because it has a positive slope

3 has no correlation because there is no pattern

4 is no linear because it’s not in a line, essentially. (This would be a parabola)

Please dont steal points only real answers

Answers

1. 4 1/5
2. 11/24
3. 12 1/4
4. 2
5. 3 5/12

I did the math but I’m sorry if it’s not all correct

Brainly help will give Brainlyst

Answers

Answer:

C.34

Step-by-step explanation:

8.75 divided by 6.5

Answers

It would be 1.3461, and to round it up, 1.35

Answer:

35/26 = 1.346153846

Step-by-step explanation:

Two trains 300 miles apart are heading toward each other on the same track. The first one travels at 100 miles per hour and the second at 50 miles per hour. As the trains depart, a jet-powered drone flying 200 miles per hour leaves the first train and heads for the second. Upon reaching it, the drone instantaneously turns around and heads back towards the first. The drone continues back and forth in this manner. How far in miles will the drone fly before being crushed between the two trains?

Answers

Answer:

400

Step-by-step explanation:

u = 50 km/hr

v = 100 km/hr

d = 300 km

b = 200 km/hr

= b*d/(u+v)  

=  200* 300/(50+100)  

= 400

How many times do you multiply 5 by itself if the exponent is 56?

Answers

56 times!!

This is because the exponent indicates how many times you multiply a number. For example:
5^2= 5x5

Answer:

56 times

Step-by-step explanation:

An exponent are a quantity representing the power to which a given number or expression is to be raised, usually expressed as a raised symbol beside the number or expression (e.g. 3 in 23 = 2 × 2 × 2).

CAN SOMEBODY PLZZZZZZZ HELP ME I WILL GIVE YOU BRAINLY IF YOU ANSWER IT CORRECTLY AND HALF MY POINTS IF YOU ANSWER THIS QUESTION I NEED YOUR HELP PLZZZZZZZZZZZZ HELP ME I NEEEED YOUR HELP THANK YOU FOR YOU HELP IN ADVANCE AND CAN YOU ALSO SHOW ME HOW YOU DID IT OK THAT IS ALL I ASK OK

Answers

30

Factors of 30 are

3,5, and 6

hey, sure! it is thirty and the factors of it are, six, three and five:) Hope this helps❤️

3x^4 + 8
The expression represents a linear
polynomial with 2
terms. The constant
term is
8
the leading term is
4
and the leading coefficient is
3
Y’all is this right?

Answers

yes, yes yes yes yes yes yes yes

Yeahhhhhhhhhhhhhhhhhhhh

Find the measure of BAD.
E
62
57
D
115
119°
129°
180°

Answers

Answer: 119

Step-by-step explanation:

just did on iready

Scanti Lee Clad has 15 short shorts and 11 sleeveless blouses. In how many different ways could she select a shorts-blouse combination?

Answers

Answer: 165 different combinations.

Step-by-step explanation:

Here we first need to identify the "selections", and then the number of options for each selection.

Here we have two selections, shorts, and sleeveless blouses.

For shorts, we have 15 options.

For sleeveless blouses, we have 11 options.

The total number of combinations will be equal to the product between the numbers of options for each selection, then the total number of combinations is:

C = 11*15 = 165

For what value of "c" are the factors of x^2 + cx + 256 the same?

Answers

Answer:

32

Step-by-step explanation:

Same factors meaning it is of the form

(x + a)(x + a) = (x + a)^2 = x^2 + 2ax + a^2

Take sqrt(256) = 16

a = 16, c = 2a = 32

Answer:

32

Step-by-step explanation:

What is the value of y in the figure below?
(7y + 27)
(15x - 5)
125°

Answers

Answer:

Simplifying

(7y + 27) + (15x + -5) = 125

Reorder the terms:

(27 + 7y) + (15x + -5) = 125

Remove parenthesis around (27 + 7y)

27 + 7y + (15x + -5) = 125

Reorder the terms:

27 + 7y + (-5 + 15x) = 125

Remove parenthesis around (-5 + 15x)

27 + 7y + -5 + 15x = 125

Reorder the terms:

27 + -5 + 15x + 7y = 125

Combine like terms: 27 + -5 = 22

22 + 15x + 7y = 125

Solving

22 + 15x + 7y = 125

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-22' to each side of the equation.

22 + 15x + -22 + 7y = 125 + -22

Reorder the terms:

22 + -22 + 15x + 7y = 125 + -22

Combine like terms: 22 + -22 = 0

0 + 15x + 7y = 125 + -22

15x + 7y = 125 + -22

Combine like terms: 125 + -22 = 103

15x + 7y = 103

Add '-7y' to each side of the equation.

15x + 7y + -7y = 103 + -7y

Combine like terms: 7y + -7y = 0

15x + 0 = 103 + -7y

15x = 103 + -7y

Divide each side by '15'.

x = 6.866666667 + -0.4666666667y

Simplifying

x = 6.866666667 + -0.4666666667y

Step-by-step explanation:

Because I know

Find the circumference of each circle. a) 32 cm. leave pi as pi. b) 49 mm. Use 22/7 for pi.

Answers

Answer:

[tex]32 \times 3.14 \times 2 = 200.96[/tex]

[tex] \binom{22}{7 } \times 49 \times 2 = 308[/tex]

Step-by-step explanation:

it is so simple

easy peasy lemon squeaky

The answer choices are 10, 15, 30, 35.​

Answers

Lets us start with finding the inner angles of the triangle. The bottom right angle shall be 70 degrees as it is opposite. The 100 degrees shall add together to make 200. 360-200 = 160. 160 / 2 = 80. So, Now we know bottom left angle (80) and bottom right (70). 80 + 70 = 150. In a triangle, angles add to 180 so 180 - 150 = 30. 30 = 2x which means that x = 15

15


Chidi measured the angle of elevation
of a tree and found it was 38°. He then
valked 25 m towards the tree and
measured the angle of elevation again
bo be 50°.
Find the actual height of the tree
d Find the total distance to the bot-
tom of tree from Chidi's initial
position

Answers

Answer: 56.72 m, 72.6 m

Step-by-step explanation:

Given

The initial angle of elevation is [tex]38^{\circ}[/tex]

after walking 25 m, the angle of elevation is [tex]50^{\circ}[/tex]

In [tex]\triangle ABD[/tex]

[tex]\Rightarrow \tan 38^{\circ}=\frac{h}{x+25}[/tex]

[tex]\Rightarrow h=\tan 38^{\circ}(x+25)\quad \ldots(i)[/tex]

In [tex]\triangle ABC[/tex]

[tex]\Rightarrow \tan 50^{\circ}=\frac{h}{x}\\\\\Rightarrow h=x\tan 50^{\circ}\quad \ldots(ii)[/tex]

From (i) and (ii)

[tex]\Rightarrow x\tan 50^{\circ}=(x+25)\tan 38^{\circ}\\\Rightarrow 1.191x-0.781x=25\times 0.781\\\Rightarrow 0.4104x=19.532\\\Rightarrow x=47.59\approx 47.6\ m[/tex]

[tex]\Rightarrow h=47.6\times \tan 50^{\circ}=56.72\ m[/tex]

The distance of tree bottom and Chidi's  is

[tex]\Rightarrow x+25=47.+25=72.6\ m[/tex]

Domain or range function or not And explain ​

Answers

it’s a function b/c the x value doesn’t repeat
The z value doesn’t repeat
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