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vesna_86 [32]
2 years ago
11

How do you do this problem?

Mathematics
2 answers:
levacccp [35]2 years ago
7 0

Answer:

x = -0.5

Step-by-step explanation:

I have marked on the graph the values of ƒ(x) that correspond to the different x-values.

At x = -2.5, ƒ(x) is decreasing, concave up, and > 0.  

At x = -1.5, ƒ(x) is decreasing, concave down, and < 0.  

At x = -0.5, ƒ(x) is increasing, concave up, and < 0.  

At x = 0.5, ƒ(x) is increasing, concave up, and > 0.  

At x = 2.5, ƒ(x) is decreasing, concave up, and > 0.  

The only point for which ƒ(x) is simultaneously increasing, concave up, and less than zero is x = -0.5.

exis [7]2 years ago
3 0
X=-.5, it’s less than 0, and concave up & increasing in this situation are the same.
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DaniilM [7]

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trrtrtrtrtrtrtrtrt

Step-by-step explanation:


6 0
2 years ago
There are 6 roses in a vase of 11 flowers. The rest are daisies. What is the ratio of all flowers in the vase to daisies (PICTUR
lara [203]

Answer:

a) 6:5

b) 11:5

(Daisies: 11-6=5)

5 0
2 years ago
Use your calculator to evaluate the limit of x equals 1 to 3 of e raised to the x squared power, dx. Give your answer to the nea
xz_007 [3.2K]
The integral of e raised to x squared dx to the limit from 1 to 3 translating in equation we get
∫1-3 e^(X^2) dx.

Solving using scientific calculator, we have  1443.082471 or simply 1443.

<em>ANSWER: 1443</em>
7 0
3 years ago
Can someone please explain to me how to do this?
OLga [1]

Answer:

  1. (-10x -5) -(-7x -4)

  2. (-10x -5) -(-3x -1)

Step-by-step explanation:

The process of simplifying an expression generally involves eliminating parentheses, collecting terms, simplifying fractions, rationalizing denominators, removing appropriate factors from under radicals, and generally putting expressions into general form.

So, to accomplish what the problem is asking, you can create an expression that requires you accomplish as many or as few of these steps as you may like.

In general, you will want to both "do" and "undo" whatever operation(s) you may choose. For example, consider a couple of expressions "a" and "b". For this example, we want our final result to simplify to "a".

If we choose to add "b", we might have ...

  (a+b) -b . . . . . we have both added and subtracted b, so the simplified result is "a"

If we choose to multiply by "b", we might have ...

  (ab)/b . . . . . . we have both multiplied by b and divided by b, so the simplified result is again "a"

_____

We can solve both these problems at once by using ...

  • a = -3x -1
  • b = -7x -4

If we choose the first approach, we want an expression that is (a+b). That will be ...

  a+b = (-3x -1) +(-7x -4) = -10x -5

By subtracting "b" from this expression, we get "a"--and vice versa. That is ...

  1. (-10x -5) -(-7x -4) . . . simplifies to . . . -3x -1
  2. (-10x -5) -(-3x -1) . . . simplifies to . . . -7x -4

_____

<em>Alternate solution to 2</em>

Suppose we choose to multiply instead. Let "b" be -3x+2. Then, using the template for multiplication above, we can write the expression

  (-7x -4)(-3x +2)/(-3x +2) = (21x^2 -2x -8)/(-3x +2)

and we know this rational expression simplifies to -7x -4.

_____

Of course, we can be as elaborate as we might like in modifying the original expression. Whatever we do, we must also include the "undo" so the original expression is recovered when we simplify. To illustrate the point, we can add and subtract 2x from the above rational expression.

  ((21x^2 -2x -8)/(-3x +2) + 2x) - 2x = (21x^2 -2x -8 +2x(-3x +2))/(-3x +2) - 2x

  = (21x^2 -2x -8 -6x^2 +4x)/(-3x +2) -2x

  = (15x^2 +2x -8)/(-3x +2) -2x . . . . . . another alternate solution to #2.

If we're not careful, we can create an expression that is extremely difficult to simplify. The one we have here can be factored to be ...

  (-5x -4)(-3x +2)/(-3x +2) -2x = -5x -4 -2x = -7x -4 . . . our original #2 expression

Knowing that it <em>can</em> be factored is a big help.

6 0
3 years ago
Of the 60 books on a bookshelf, 24 are nonfiction, 9 are realistic-fiction, 11 are reference, and the remaining books are fantas
luda_lava [24]

Answer:

16

Step-by-step explanation:

You would first add all the diffrent types of books all together.

24+9+11= 44

Next subtract that from the total number of books to get how many fantasy books you have.

60-44= 16

7 0
3 years ago
Read 2 more answers
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