What is the average rate of change of f(x), represented by the table of values, over the interval [-3,4]

Answer:

Results are below.

Step-by-step explanation:

Giving the following information:

The price of silver has increased by 25% per year from 2000. In the year 2000, Harry bought a silver bowl for $170.

To calculate the price of the silver bowl after x years, we need to use the following formula:

F(x)= PV*(1+g)^x

F(x)= future value

PV= present value

g= growth rate

x= number of years

For example, we determine the value of the coin after 10 years:

F(x)= 170*(1.25^10)

F(x)= $1,583.25

Answer:

F(x)= 170*(1.25^10)

F(x)= $1,583.25

Step-by-step explanation:

The value of AG is 37cm

From the diagram shown, we have that;

But;

AG + GB = AB

Let's substitute the values

3x + 3 + 11x + 6 = 166

collect like terms

3x + 11x + 9 = 166

14x = 166 - 9

14x = 157

Make 'x' the subject

x = 157/ 14

x = 11. 2cm

But line AG = 3x + 3 = 3 ( 11. 2) + 3 = 33. 6 + 3 = 37cm

Thus, the value of AG is 37cm

Learn more about line segment here:

https://brainly.com/question/2437195

#SPJ1

Answer:

147+25=172

Step-by-step explanation:

Have a nice day!

Brainliest me pls

Answer:

A = 147

Step-by-step explanation:

A + 25 = 172

subtract 25 from both sides

A + 25 - 25 = 172 - 25

A = 147

Answer:

It is an exponential function

Step-by-step explanation:

We have the following function:

f (x) = 3/8 (4) ^ x

The function is of the form:

f (x) = A (b) ^ x

Where,

A: initial amount

b: growth factor (b> 1)

x: time variable.

Answer:

f (x) = 3/8 (4) ^ x

It is an exponential function of the form:

f (x) = A (b) ^ x

Answer:  

member = 15

nonmember = 55

Step-by-step explanation:

m = member, n= nonmember

1m+6n=345

2m + 2n =140 (divide all by 2 )

m + n = 70

m= 70 - n

70-n + 6n =345

70 + 5n = 345

5n = 345-70

5n = 275

n = 275÷5

n = 55

m = 70 - 55 = 15

m=15

Step-by-step explanation:

Answer:

pi/2 ... 2pi -square root 9..... and then pi +3

Step-by-step explanation:

pretty much the opposite of what it is now

The function to determine the gross cost he earns to test the air quality in their homes can be given by Y=500+25X.

What is a function?

The function to determine the gross cost he earns to test the air quality in their homes can be given by,

Y=500+25X

where X is the no. of homes he tested and y is the gross cost.

Learn more about function here:

https://brainly.com/question/25537936

#SPJ4

Answer:

Multiply=times top then bottom. 1/2*1/3=1*1/2*3=1/6

Divide Fractions=take reciprocal then multiply. 1/2=1/3=1/2*3/1=3/2

Step-by-step explanation:

Not needed

Full question :

Nthe first round of a card game, niki scored 20 points. then, she lost 10 points on one turn and an additional 25 points on her final turn. part a choose the number line that shows the change in niki’s score.

a. number line from -20 to 20. start at -20. count up by 5. 3 arrows are shown above the number line. 1st from 0 to -20, 2nd from -20 to -10 and 3rd from -10 to 15.

b. number line from -20 to 20. start at -20. count up by 5. 3 arrows are shown above the number line. 1st from 20 to 0, 2nd from 0 to -10 and 3rd from -10 to 15.

c. number line from -20 to 20. start at -20. count up by 5. 3 arrows are shown above the number line. 1st from 0 to 20, 2nd from 20 to -5 and 3rd from -5 to 5.

d. number line from -20 to 20. start at -20. count up by 5. 3 arrows are shown above the number line. 1st from 0 to 20, 2nd from 20 to 10 and 3rd from 10 to -15.

part b what is niki’s final score? enter your answer in the box. points

Answer:

d. number line from -20 to 20. start at -20. count up by 5. 3 arrows are shown above the number line. 1st from 0 to 20, 2nd from 20 to 10 and 3rd from 10 to -15.

Step-by-step explanation:

The number line given run from -20 to +20 and so we record Niki's losses and wins using the negative numbers and positive numbers respectively. If Niki wins(scores 20 points) we add, that is a positive number on the number line. If Niki loses(loses 10 and 25 points) we subtract from her positive number using the negative values(points missed) on the number line. If we do this, Niki's value on the number line ends up at -15

To get Niki's final score, we calculate hence

+20-10-25 = -15 points

Check the picture below.

the slope goes by several names

• average rate of change

• rate of change

• deltaY over deltaX

• Δy over Δx

• rise over run

• gradient

• constant of proportionality

however, is the same cat wearing different costumes.

to get the slope of any straight line, we simply need two points off of it, let's use those in the picture below.

[tex](\stackrel{x_1}{0}~,~\stackrel{y_1}{3})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{-3}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-3}-\stackrel{y1}{3}}}{\underset{run} {\underset{x_2}{2}-\underset{x_1}{0}}} \implies \cfrac{-6}{2}\implies \LARGE \begin{array}{llll} -3 \end{array}[/tex]

Answer:

easy one

Step-by-step explanation:

first factorise 600 as 2*2*2*3*5*5

then write as 2^3 * 3*5^2= 2^a*b*c^d

equating corresponding elements as a=3

b=1and c= 2 is the answer

It will take them 2 hours and 22 minutes to working together.

Here,

Joan paint the porch in 5 hours.

Jan can take 4 hours to paint the porch.

We have to find the time to take them working together.

What is Fraction?

A fraction simply tells us how many parts of a whole we have.

Now,

Let x is number of hours to take them working together.

Then, 1/x is how much of the porch they can paint together in 1 hour.

Joan paint the porch in 5 hours.

Then, Joan can take 1 hour to paint the 1/5 part of porch.

Jan can take 4 hours to paint the porch.

Then, Jan can take 1 hour to paint the 1/4 part of porch.

To find how much of the porch they can paint together in 1 hour, we can add together;

[tex]\frac{1}{5}+ \frac{1}{4} = \frac{1}{x} \\\\\frac{4+5}{20} = \frac{1}{x} \\\\\frac{9}{20} = \frac{1}{x}\\\\x = 20.22[/tex]

Hence, It will take them 2 hours and 22 minutes to working together.

Learn more about the fraction visit:

https://brainly.com/question/17220365

#SPJ4

Answer:

12:20

Step-by-step explanation:

3 : 5 = 3x : 5x = 32

3x + 5x = 8x = 32

x = 32/8 = 4

3x = 3x4 = 12

5x = 5x4 = 20

so there are 12 boys and 20 girls

The dimensions of the cropped photo will be 9 inches by 9 inches

Step-by-step explanation:

From the formula of area of square

Length x width = area

[tex]x^{2}[/tex] = area

But we are given the equation as

[tex](x+2)^{2}[/tex] = 121

The equation gives the measures of the cropped dimension as "x". This means we need to solve the equation

[tex](x+2)^{2}[/tex] = 121

[tex]x^{2}[/tex] + [tex]2^{2}[/tex] + 2(x) (2) = 121

[tex]x^{2}[/tex] + 4 + 4x = 121

[tex]x^{2}[/tex]  + 4x -117 = 0

[tex]x^{2}[/tex]  + 13x - 9x -171 = 0

x( x+13) -9 (x+13) = 0

(x+13)(x-19) =0

This means

x = 9, -13

Since, dimension can't be negative. So, the measure of dimension would be 9 inches by 9 inches

You can learn more about dimensions of square from

https://brainly.com/question/446697
#SPJ4

The question is incomplete. Therefore, complete question is

Liliana decides to crop a square photo 2 inches on each side to fit it into a frame. The area of the original photo was 121 square inches. In the equation [tex](x+2)^{2}[/tex] = 121, x represents the side measure of the cropped photo. What are the dimensions of the cropped photo

8 inches by 8 inches

9 inches by 9 inches

12 inches by 12 inches

13 inches by 13 inches

"Hey, Noob is my Line"

- Developer of Robux

Answer:I dont know noobs are noobs

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

use the vertical line test

Answer:

746

Step-by-step explanation:

Based on the given conditions, formulate: 1352 - 606

Calculate the sum of difference: 746

Answer: 746

Answer:

10

Step-by-step explanation:

The triangle in the pic is a right-angled triangle. And in right-angled triangles , Pythagorean Theorem. So , according to Pythagorean Theorem

[tex]Base^{2} +Perpendicular^{2} =Hypotenuse^{2}[/tex] where 'c' is the hypotenuse and 'a' & 'b' are the other two sides.

Using Pythagorean Theorem ,

[tex]Hypotenuse^{2} = 8^{2} +6^{2} =64+36=100\\=>Hypotenuse = \sqrt{100} =10[/tex]

Answer:

12

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

10 1/2 / 7/8= 12

Answer:

see explanation

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

(8)

with (x₁, y₁ ) = (- 3, 2) and (x₂, y₂ ) = (8, 2)

m = [tex]\frac{2-2}{8+3}[/tex] = [tex]\frac{0}{11}[/tex] = 0

A slope of zero indicates the line is horizontal and parallel to the x- axis with equation

y = c

where c is the value of the y- coordinates the line passes through

The line passes through (- 3, 2) and (8, 2) with y- coordinates 2, thus

y = 2 ← equation of line

(9)

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

with (x₁, y₁ ) = (- 6, 1) and (x₂, y₂ ) = (- 3, 2)

m = [tex]\frac{2-1}{-3+6}[/tex] = [tex]\frac{1}{3}[/tex] , then

y = [tex]\frac{1}{3}[/tex] x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (- 3, 2) , then

2 = - 1 + c ⇒ c = 2 + 1 = 3

y = [tex]\frac{1}{3}[/tex] x + 3 ← equation of line

Using different scenerios and situations from real life, we can create as many world problems as we want.

A word problem is a few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.

Given is a task to write a word problem including a submarine, depth of 60 feet and a time interval.

A world problem including submarine, depth of 60 feet and a time interval can be written as -

A submarine using SONAR detected a sea floor 60 ft beneath it. It was observed that time taken by sound pulse to to reach the sea floor and reflect back to submarine is 3 sec. Calculate the speed of sound pulse transmitted by the SONAR.

Therefore, using different scenerios and situations from real life, we can create as many world problems as we want.

To create more world problems, visit the link below-

https://brainly.com/question/4702994

#SPJ1

Answer:

Mr. Clean has a slightly better buy

Step-by-step explanation:

Answer:

-80

Step-by-step explanation:

( 8.1 + 7.9 ) × ( -25 ÷ 5 )

= 16 × ( -5 )

= -80

don't forget to mark this ans branliest

Answer:

11x is the answer.

Step-by-step explanation:

( 8.1 + 7.9 )x - ( 25 ÷ 5 )x

= 16x - 5x

= 11x

hope this answer will help you.

have a great time

Answer:

13

Step-by-step explanation:

Find 26% of 50 by doing

.26 * 50

resulting in 13

A’B’C’D' will be a reflection of figure ABCD about line f

A reflection over a line l(notation l) is a transformation in which each point of the original figure (pre-image) has an image that is the same distance from the line of reflection as the original point but is on the opposite side of the line.

reflection of point D will be D' if the distance between point D and line f is the same as the distance between point D' and line f

let us consider point (10,0) on line f for our convenience. we will calculate each distance from this point (10,0)

distance is 2 units from both the points D and D'

reflection of point C will be C' if the distance between point C and line f is the same as the distance between point C' and line f

distance of point C from line f= distance of point C' from line f

[tex]\sqrt{(14-10)^2 + (-2-0)^2} = \sqrt{(10-8)^2+ (4-0)^2} =\sqrt{20}[/tex]

similarly, point A and B will also be equidistant from line f

therefore,  A’B’C’D' will be a reflection of figure ABCD about line f.

To get more about reflection visit:

https://brainly.com/question/14062035