Write an equation for the data shown in each table.

Write An Equation For The Data Shown In Each Table.

Answers

Answer 1

Answer:

1) f(x) = 500·(1.1)ˣ

2) f(x) = 500·(0.9)ˣ

Step-by-step explanation:

1) The given values in the table are;

x; 0, 1, 2, 3

f(x); 500, 550, 605, 665.5

By observation, we have that each two subsequent term of f(x) have a common ratio, given as follows;

550/500 = 11/10 = 1.1 = 605/550 = 665.5/605

From which we have;

The values of f(x) are in a geometric progression

The nth of a geometric progression = a·rⁿ

The common ratio, r = 1.1

The first term, a = 500

The number of terms, n = x

Therefore, xth term, f(x) = a×(r)ˣ

Substituting the values gives;

The equation for the data shown in the table is f(x) = 500·(1.1)ˣ

2) The given table of values is presented as follows;

x; 0, 1, 2, 3

f(x); 500, 450, 405, 364.5

The common ratio, f(xₙ)/f(xₙ₋₁) = 450/500 = 9/10 = 0.9 = 405/450 = 364.5/405

The terms of f(x) are in a geometric progression

The first term. a = 500

The common ratio, r = 9/10 = 0.9

The nth term of a geometric progression, G.P. = a·rⁿ

By plugging in the values of 'a', 'r', and 'n', the value of the xth term, f(x), therefore;

The equation for the data shown in the table is f(x) = 500·(0.9)ˣ.


Related Questions

Please help me
Which has a larger area , a 4:3 aspect ratio 32 inch Tv or a 16:9 aspect ratio 32 inch Tv? Find the side lengths of each of the TV’s and the area of each Tv to compare. Explain Your reasoning and show all mathematical calculations.

Answers

Step-by-step explanation:

please see my work as attached

Maria has made $28 selling bracelets at a craft fair. She spends $52 on supplies to make the bracelets. She sells each bracelet for $3. Which inequality can Maria use to find how many more bracelets she needs to sell to make more money than she spent on supplies. A. 3x + 52 < 28 B. 28x +3 >52 C. 3x + 28 < 52 D. 3x +28 > 52

Answers

Answer: D. 3x +28 > 52

Step-by-step explanation:

Based on the information given, the inequality that Maria can use to find how many more bracelets she needs to sell to make more money than she spent on supplies will be calculated thus:

With the question above, the total sales must be greater than the amount spent on supplies. Let the number of bracelets that needs to be sold be represented by x.

Therefore, (3 × x) + 28 > 52

= 3x + 28 > 52.

We can calculate further

3x > 52 - 28

3x > 24

x > 24/3

x > 8

Therefore, 9 or more bracelets needs to be sold since x is greater than 8.

Therefore, the correct option is D 3x +28 > 52

Answer:

D. 3x + 28 > 52

Step-by-step explanation:

Which is the graph of y – 3 =-2/3 (x + 6)?

Answers

Answer:

see graph below

Helpppp with this math

Answers

9514 1404 393

Answer:

  x = 8 1/3

Step-by-step explanation:

Put the known values into the equation and solve for x.

  f(x) = 3x -1

  24 = 3x -1 . . . . . use 24 for f(x)

  25 = 3x . . . . . . . add 1 to both sides

  25/3 = x . . . . . . divide both sides by 3

The input is x = 8 1/3.

It takes you 45 minutes to wash a car
alone. Your friend can wash a car in 30
minutes. How long will it take you and
your friend to wash a car together? You
can use the work principle to find out!

Answers

Answer:

37.5 minutes

Step-by-step explanation:

45+30=75

=75 =37.5

2

This might help you!!!!

Answer: 37. 5 minutes in total.

So someone else had gave the correct answer, but I thought it wasn’t clear enough so I hope this helps.

Step-by-step explanation:

45 + 30 = 75.

But 75 cannot be a total of minutes... so therefore we divide 75 by 2

75 ÷ 2 = 37. 5

So it will take you and your friend a total of 37. 5 minutes to wash a car together.


Hope this helped

Is anyone free to help me? It's a picture .

Answers

Answer:

1. 8 units downwards and 2 units left

2.7 units right and 4 units upwards

3. 5 units right and 4 units downwards

Step-by-step explanation:

That how it goes

Help plz this is really hard for me

Answers

Answer:

Improper fraction: 13/10

Mixed number: 1 3/10

Decimal: 1.3

Step-by-step explanation:

Find common denominator: which is 30

Make each denominator equal 30, affecting the whole fraction:

6•2/15•2 + 3•3/10•3 + 3•6/5•6 =

12/30 + 9/30 + 18/30 = 39/30

Simplify: 39/30, divide both by 3: 13/10

And there is our answer!

Hope this helps, good luck! :D

Answer:

39/30

Step-by-step explanation:

6. Is this a relation? Is this a function? Why or why not?

Answers

Answer:

the given relation is function because all elements of domain is mapped with the elements of range

It is called a function

1. The length of the container is 16.3 m , breadth 8 m and height 6. 2 m. Calculate the volume of this container.

2. Damarie and Breanna share a reward of $117 at a ratio 1:8. What was Breanna's share?

3. A circle has a circumference of 44 cm, given that π 22/7, calculate the its diameter. *

Answers

Answer:

1)

[tex]808.48 \: cubic \: meter[/tex]

2)

[tex]104 \: shiling[/tex]

3)

[tex]14cm[/tex]

Step-by-step explanation:

Length = 16.3m

breadth = 8m

height = 6.2m

volume= Lbh

=(16.3×8×6.2)m

= 808.48 cubic meter

. Which of the following is equal to
3
?
)
6 −
3 )
6 ×
3
)

6

3
)(
6
)

Answers

Answer:

(6-3)=3..............................

If f(x) = x2 and g(x) = x + 1, what is (fºg)(2)?
1.
5
2.
7
3.
9
4.
12

Answers

Answer:

f(x)=x² , g(x)= x+1. f(g(2))?

g(2)

2+1=3

g(2)=3

f(3)

3²=9

f(3)=9

the answer is 9

Answer:

9

Step-by-step explanation:

To find (f ○ g)(2) , evaluate g(2) then substitute the value obtained into f(x)

g(2) = 2 + 1 = 3 , then

f(3) = 3² = 9

please help!!! i’ll give brainliest.

no links
do not comment random things
i need asap!!
ill give as many points as i can

Answers

Answer:

a,d,e

Step-by-step explanation:

75+a1 = 180

so a1=105

a1=x-15

105=x-15

x=120

then using rules of parallel lines with commone intersecting line gives the others.

Write the equations of two lines passing through (4,8)

Answers

Answer:

Two lines that pass through the point (4, 8) are y = 3·x - 4 and y = -5·x + 28

Step-by-step explanation:

The equation of two lines that passes through the point (4, 8) are found using the general form of a straight line equation, y = m·x + c, where;

m = The slope of the line

c = The y-intercept

Therefore, two distinct line pass through a given point if they have a different slope, m, and a different y-intercept, c, as follows;

Fot the given point, the x-value = 4, and the y-value = 8, we get;

8 = m₁·4 + c₁...Line 1 and

8 = m₂·4 + c₂...Line 2

m₁ ≠ m₂

If we set m₁ = 3, for line 1, we get;

8 = 3 × 4 + c₁ = 8 = 12 + c₁

∴ c₁ = 8 - 12 = -4

c₁ = -4

The equation for Line 1 for all x and y-values, where, m₁ = 3, c₁ = -4, becomes;

y = 3·x - 4

The equation for Line 2 where m₂ = -5 for example, we have;

8 = -5 × 4 + c₂

∴ c₂ = 8  + 5 × 4 = 28

c₂ = 28

The general form for the equation for Line 2 becomes;

y = -5·x + 28

Therefore;

The equation of the two formed lines that pass through the point (4, 8) are;

y = 3·x - 4 and y = -5·x + 28

PLEASE HELP!!!
a. segment AB congruent
segment CD
b. segment AB congruent d. segment BC
c. segment AD congruent segment BC
d. segment AC congruent segment BD

Answers

Answer:

A. Segment AB congruent segment CD

C. Segment AD congruent segment BC

Step-by-step explanation:

These are both true because a characteristic of a rhombus is that all four sides are congruent. Therefore we must prove that AB is congruent to CD and AD is congruent to BC.

helppppppppppppppppp

Answers

Answer:

Click the third one.

Answer:

3rd one

Step-by-step explanation:

Mark me brainliest pls

Hope this helps!

Nicole is looking at a map of her neighborhood she notices the mall is 30 miles south of your house and that the grocery stores 40 miles east of her house how far apart are the mall and the grocery store?

Answers

Answer:

Distance of grocery stores from mailbox = 50 miles

Step-by-step explanation:

Given:

Distance of grocery stores = 40 miles east

Distance of mailbox = 30 miles south

Find:

Distance of grocery stores from mailbox

Computation:

Hypotenuse² = Perpendicular² + Base²

Distance of grocery stores from mailbox = √30² + 40²

Distance of grocery stores from mailbox = √900 + 1600

Distance of grocery stores from mailbox = √2500

Distance of grocery stores from mailbox = 50 miles

write 17.275102 correct to 3 decimal places

Answers

Step-by-step explanation:

17.275 3 decimal plalcesl

The sum of three numbers is 86. The third number is 4 times the first. The first number is 10 more than the second. What are the numbers?

Answers

Answer:

The first number is 16

The second number is 6

The third number is 64

Step-by-step explanation:

The information from the word problem are;

The count of the numbers in the sum = 3 numbers

The value of the sum of the three numbers = 86

The value of the third number = 4 × The value of the first number

The value of the first number = 10 + The value of the second

Let 'x' represent the first number, let 'y' represent the second number and let 'z' represent the third number, we have;

x + y + z = 86...(1)

z = 4 × x...(2)

x = y + 10...(3)

From equation (3), we get;

x = y + 10

∴ y = x - 10...(4)

Substituting the value of z from equation (2) and the value of y from equation (4) in equation (1) gives;

x + y + z = 86

z = 4 × x = 4·x

y = x - 10

∴ x + y + z = x + (x - 10) + 4·x = 86

x + (x - 10) + 4·x = x + x - 10 + 4·x = 6·x - 10 = 86

6·x = 86 + 10 = 96

∴ x = 96/6 = 16

x = 16

From equation (2), we get;

z = 4 × x

∴ z = 4 × 16 = 64

z = 64

From equation (4), we get

y = x - 10

∴ y = 16 - 10 = 6

y = 6

Therefore; x = 16, y = 6, and z = 64

The numbers are 16, 6, and 64

6/h −1= −3 again.......

Answers

6/h -1 =-3
6/h = -2
6=-2h
h= -3

Answer:

ℎ = −3

Step-by-step explanation:

6

1

=

3

\frac{6}{h}-1=-3

h6​−1=−3

6

+

(

1

)

=

3

\frac{6}{h}+\frac{h\left(-1\right)}{h}=-3

h6​+hh(−1)​=−3

2

Combine fractions with common denominator

6

+

(

1

)

=

3

\frac{6}{h}+\frac{h\left(-1\right)}{h}=-3

h6​+hh(−1)​=−3

6

+

(

1

)

=

3

\frac{6+h\left(-1\right)}{h}=-3

h6+h(−1)​=−3

3

Re-order terms so constants are on the left

6

+

(

1

)

=

3

\frac{6+h\left(-1\right)}{h}=-3

h6+h(−1)​=−3

6

=

−3

Findfind the value of each variable used in the figures if your answer is an integer express it in simples radical form ​

Answers

Answer:

c=2

Step-by-step explanation:

the sides of a 30-60-90 right triangle are in the ratio 1:[tex]\sqrt{3}[/tex]:2

please please someone help!! im confused on the parentheses part. i will give brainliest and 20 points

Answers

Answer:(first term)

a=27(4th term)

T4= a x r^3 = 64

substituting a as 27 in T4

27 x r^3 = 64

r^3 = 64/27

r=4/3

so; a=27, r=4/3

using the general formula of geometric progression,

a x r^n-1

substitute:.

27 x 4/3^n-1

= 27(4/3)^n-1

Answer: (C) HOPE THIS HELPS!

Please fill the blanks

Answers

Answer:

First box

8pi-(7pi/4)= pi/4

Second Box:

Tan 7pi/4= 0.09625006863

Step-by-step explanation:

verify that :- 2/7 x (-3/5 +4/10)=2/7x-3/5 +2/7 x 4/10
please help me fast please​

Answers

Answer:

hope it helps you............

Answer:

-2/35.....................

xy to the power of -4
show as positive exponent
explain

Answers

Answer:

[tex]\frac{1}{(xy)^4}[/tex]

Step-by-step explanation:

*Question interpreted as "Write [tex](xy)^{-4}[/tex] with a positive exponent."

Recall the following exponent property:

[tex]a^{-b}=\frac{1}{a^b}[/tex]

Therefore, we have [tex](xy)^{-4}\implies \boxed{\frac{1}{(xy)^4}}[/tex]

Can someone help me with this.
:)

Answers

For #2 just do Pythagorean theorem. That is 5²+h²=10²
25+h²=100
h²=75
h=sqrt(75)
Use a calculator to approximate the height

And I think it is irrational because square roots are not exact rational numbers

what is the vaule (x + y)(x + y)

Answers

Answer:

x^2+2xy+y^2

Step-by-step explanation:

(x + y)(x + y)

FOIL

first x*x = x^2

Outer x*y = xy

inner: y*x = xy

last y*y = y^2

add together

x^2+xy+xy+y^2

Combine like terms

x^2+2xy+y^2

Answer:

[tex]x^{2}[/tex] + 2xy + [tex]y^{2}[/tex]

Step-by-step explanation:

(x + y)(x + y)

= (x + y)(x + y)

=(x)(x) + (x)(y) + (y)(x) + (y)(y)

= [tex]x^{2}[/tex] + xy + xy + [tex]y^{2}[/tex]

= [tex]x^{2}[/tex] + 2xy + [tex]y^{2}[/tex]

Hope this helps, please mark brainliest. :)

Need help with this

Answers

Answer 26 explanation 9+9+4+4=26

Please help I’ll give brainliest

Answers

Answer:

- a + 18b

Step-by-step explanation:

2(a + 6b) - 3(a - 2b)

= 2a + 12b - 3a + 6b

= 2a - 3a + 12b + 6b

= - a + 18b (Ans)

Answer:

-a + 18b

Step-by-step explanation:

2(a + 6b) - 3(a - 2b)

Distribute the 2

2a + 12b - 3(a - 2b)

Distribute the 3

2a + 12b - 3a + 6b

Combine like terms

-a + 18b

For the following system, use the second equation to make a substitution for x in the first equation.

3x + 2y = 7
x - y + 3 = 0

What is the resulting equation?

Answers

Step-by-step explanation:

x value is 0.2

y value is 3.2

How many mLs are in 1300mG

Answers

Answer:

1.3 mL

Step-by-step explanation:

1 mg = 0.001 mL

1300 mg * 0.001 mL/mg = 1.3 mL

first answer is Correct here is way they are correct 1300 Milligram (mg) 1.300000 Milliliters (ml)
1 mg = 0.001000 ml 1 ml = 1,000 mg so 1.3 is the correct answer How many Milliliters in 1300 Milligram?
The answer is 1.300000
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