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makvit [3.9K]
2 years ago
10

The first three terms of a sequence are given. Round to the nearest thousandth (if

Mathematics
1 answer:
Fofino [41]2 years ago
6 0

Answer:

19683

Step-by-step explanation:

1. find the ratio

this is geometric so..

54÷18=3

18÷6=3

2. set up the problem

3(3)^9-1

3^8= 6561

6561(3)=19683

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Write the quadratic equation whose roots are six and -2 and who’s leading coefficient is 3 use the letter X to represent the var
Artist 52 [7]

Answer:

3X^{2} - 12X - 36 = 0

Step-by-step explanation:

6 and - 2 are the only two solutions to the required quadratic equation.

So, if the variable is represented by X then (X - 6) and (X + 2) will be the only two factors of the polynomial function.

Therefore, the equation is  

(X - 6)(X + 2) = 0

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If the leading coefficient of the equation is 3 then we can write the equation as 3X^{2} - 12X - 36 = 0 (Answer)

6 0
3 years ago
A) all values at which h has a local maximum <br> B ) all local maximum values of h
Harlamova29_29 [7]

For the given function h(x), we have:

a) at x = -2 and x = 2.

b) y = 0 and y = 3.

<h3>How to identify the maximums of function h(x)?</h3>

First, we want to get the values of x at which we have maximums. To do that, we need to see the value in the horizontal axis at where we have maximums.

By looking at the horizontal axis, we can see that the maximums are at:

x = -2 and at x = 2.

Now we want to get the maximum values, to do that, we need to look at the values in the vertical axis.

  • The first maximum value is at y = 0 (the one for x = -2)
  • The second maximum is at y = 3 (the one for x = 2).

If you want to learn more about maximums:

brainly.com/question/1938915

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4 0
2 years ago
Ralph Chase plans to sell a piece of property for $155000. He
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Ralph chase invested $85000 at an interest of 10% and $70000 at an interest of 8%

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

An independent variable is a variable that does not depends on other variable while a dependent variable is a variable that depends on other variable.

Let a represent the amount invested at interest of 10% and b represent the amount invested at 8%, hence:

a + b = 155000    (1)

Also:

0.1a + 0.08b = 14100    (2)

From both equations:

a = 85000, b = 70000

Ralph chase invested $85000 at an interest of 10% and $70000 at an interest of 8%

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