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Alex787 [66]
3 years ago
13

The sum of three numbers is 41.

Mathematics
1 answer:
kompoz [17]3 years ago
4 0

Answer:

look below

Step-by-step explanation:

a = the 1 st# b = 2nd # c= 3rd #

a+b+c=41

b=5a

c=14-b

plug in one of those values

a+b+14-b=41

a+14=41

-14

a=27

plug in the "a" value

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Consider the function f ( x ) = − 2 x 3 + 27 x 2 − 108 x + 9 . For this function there are three important open intervals: ( − [
Darya [45]

Answer:

<em>A=3 and B=6</em>

Step-by-step explanation:

<u>Increasing and Decreasing Intervals of Functions</u>

Given f(x) as a real function and f'(x) its first derivative.

If f'(a)>0 the function is increasing in x=a

If f'(a)<0 the function is decreasing in x=a

If f'(a)=0 the function has a critical point in x=a

As we can see, the critical points may define open intervals where the function has different behaviors.

We have

f ( x ) = - 2 x^3 + 27 x^2 - 108 x + 9

Computing the first derivative:

f' ( x ) = - 6 x^3 + 54 x - 108

We find the critical points equating f'(x) to zero

- 6 x^3 + 54 x - 108=0

Simplifying by -6

x^2 -9 x +18=0

We get the critical points

x=3,\ x=6

They define the following intervals

(-\infty,3),\ (3,6),\ (6,+\infty)

Thus A=3 and B=6

3 0
3 years ago
Write the relation as a set of ordered pairs
Marina CMI [18]

I don't know what the relation in your problem is, but I'll just explain this using my own example.

Let's use the following relation as the example (pretend it's a table of values):

x | y

0 |  1

2 |  4

4  |  7

6  | 10

To write the relation as ordered pairs, you need the x and y values from the table. An ordered pair is written like this: (x,y).

Based off of this explanation, the ordered pairs from this example would be:

(0,1) (2,4) (4,7) (6,10)

7 0
3 years ago
If AB=BA= I then write the relation between matrix A and matrix B​
butalik [34]

Answer:

If  AB = BA = I, then B is inverse of A and vice-versa.

Step-by-step explanation:

Given: AB = BA = I

To find: The relation between matrix A and B.

If AB = BA = I, then B is called the inverse matrix of A and is denoted by A^{-1}.

In that case, A is said to be invertible.

Also, if B is the inverse of A, then A is also the inverse of B.

Hence, the relation between A and B is that both are inverse of each other.

6 0
3 years ago
Please help me on this problem
kirill115 [55]

Answer:

y=-1/2x-3

Step-by-step explanation:

sorry if wrong form, there are like 6, but that is correct if in the right form

7 0
3 years ago
What is the length of the line segment with endpoints (11, −4) and (−12, −4
RUDIKE [14]

Answer:

23 units

Step-by-step explanation:

Use the distance formula: d = \sqrt{(x2 - x1)^2 + (y2 - y1)^2}

Plug in the 2 points:

d = \sqrt{(-12 - 11)^2 + (-4 + 4)^2}

d = \sqrt{529}

d = 23

So, the distance is 23 units

6 0
3 years ago
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