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4 years ago

MATH HELP...PLz

Mathematics

1 answer:

PilotLPTM [1.2K]4 years ago

8 0

a. 14, 18, 22, 26.... It is +4

b. 2,430, 7,290, 21,870..... It is x3

c. So it is going -2, -4, -6, -8 so the next one would be -10 which is -13 then -12 which is -25 and so on.

Hope this helps!

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What is the equation of the line in slope-intercept form? y=_x+_

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Answer:

$y=\frac{4}{3}x+4$

Step-by-step explanation:

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How many ways are there to move from one corner of a cube to the diagonally opposite corner, in three moves, each of which trave

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Answer: 6 ways

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Step-by-step explanation:

Given that;

-It's restricted to three moves.

-It has to move from one diagonal to its opposite diagonal.

-it can only move through the edges.

Hence, in the first move.

We have three(3) different options that is three different possible moves that can lead us to the final destination.

The second move.

We have two (2) different possible moves each

The last move

We have just one(1) possible move.

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4 years ago

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B. Composition

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3 years ago

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4 years ago

A gardener wants to make a rectangular enclosure using a wall as one side and 120 m of fencing for the other three sides. expres

Solnce55 [7]

The area is given by A = -2x² + 120x. The greatest area is given by x = 30 m.

Explanation:
See the picture attached for reference.

Let's call:
x = side not facing the wall
We know that the total fence is 120m, therefore
(120 - 2x) = side facing the wall

Note: you could choose to be x = side facing the wall, but the calculations would be a little bit more complicated.

We can now calculate the area of a rectangle:
A = b · h =
= x · (120 - 2x)
= -2x² + 120x

In order to find a maximum for this function, we need to calculate the first derivative:
$\frac{d}{dx} (-2x^{2} + 120x ) = -4x +120$

Then, we need to find the candidate points by setting the derivative equal to zero:
-4x +120 = 0
-4(x - 30) = 0
x = 30

Now, in order to understand if the candidate point is a maximum or a minium, let's calculate the second derivative:

 $\frac{d}{dx}(-4x + 120) = -4$ 

According to the "Second Derivative Test", if the second derivative is negative, the point is a local maximum.

Hence, x = 30m gives the greatest area, and we would have:
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4 years ago