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3 years ago

A geometric sequence is a sequence of numbers where the next term equals to

Mathematics

1 answer:

exis [7]3 years ago

4 0

Answer:

Step-by-step explanation:

Let the first term be a and the common ratio be r.

ATQ, ar^4=24 and ar^6=144, r=sqrt(6) and a=24/(sqrt(6))^2=24/36=2/3

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Solve the following system of linear equations. 3x + 2y = 10 2x + 3y = 15/2 No solution y = (-3/2)x + 5 x = 3, y = -1/2 x = 3, y

frutty [35]

3x + 2y = 10 .....multiply by -2
2x + 3y = 15/2...multiply by 3
------------------
-6x - 4y = -20 (result of multiplying by -2)
6x + 9y = 22.5 (result of multiplying by 3)
-----------------add
5y = 2.5
y = 2.5/5
y = 1/2

3x + 2y = 10
3x + 2(1/2) = 10
3x + 1 = 10
3x = 10 - 1
3x = 9
x = 9/3
x = 3

solution is (3,-1/2)

5 0

3 years ago

How do you work out this problem, step by step please I am so lost. Year Average Household Income (before taxes) Food Housing Tr

Hitman42 [59]

Answer:

(a)Food-12%

9b)Transportation-17%

Step-by-step explanation:

In the Year 2000

Average Household Income (before taxes)=$44,649
Amount Spent on Food =$5,158
Amount Spent on Transportation=$7,417

Therefore:

(a)Percentage of the average household income in 2000 was spent on food

$=\dfrac{5158}{44649} \times 100\\\\=11.55\%\\\\\approx 12\% $(to the nearest percent.)$

(b)Percentage of the average household income in 2000 was spent on transportation

$=\dfrac{7,417}{44649} \times 100\\\\=16.6\%\\\\\approx 17\% $(to the nearest percent.)$

3 0

3 years ago

Can someone help me find the volume and the surface area of this shape.

mash [69]

Answer:

Got my points deducted by a loser name PoeticAesthetics

Step-by-step explanation:

5 0

2 years ago

What is the standard form of 5.58 x 10²<br><br>

tekilochka [14]

Answer:

558

Step-by-step explanation:

5.58 × 10²

558

6 0

3 years ago

10)

Kipish [7]

Answer:

-600

Step-by-step explanation:

The rate of change of a function f(x) in a certain interval $(x_1,x_2)$ is the ratio between the change of the function and the change in the value of x:

$r=\frac{f(x_2)-f(x_1)}{x_2-x_1}$

The rate of change of a function tells how much the value of the function is changing per change in unit of x: therefore, for a linear function it corresponds to the slope of the line.

In this problem, the function f(x) is equal to the value of the business machine in dollars, while the variable x represents the number of years.

Here we are told that the machine was purchased for

$q=\$4500$

while its value decreases by $600 each year, so

$m=-600\$$

This means that the linear function that represents the value of the machine after x years is:

$y=4500-600x$

Therefore, the rate of change of the function is -600.

3 0

3 years ago