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3 years ago

Please Help me plzzzzzclick above

Mathematics

1 answer:

aliina [53]3 years ago

5 0

Answer:

google it

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f(x) = square root ( x^4 -16x^2) let f be the function given by: . . a) Find the domain of f.. b) Find f '(x). c) Find the slope

Bond [772]

A ) The domain:
$x^{4} -16 x^{2} \geq 0 \\ x^{2} ( x^{2} -16) \geq 0 \\ x^{2} -16 \geq 0 \\ x^{2} \geq 16$
x ≤ -4 and x≥ 4 or: x ∈ ( - ∞ , - 4 ) ∪ ( 4 , + ∞ )
b ) f ` ( x ) = $\frac{1}{2 \sqrt{ x^{4} -16 x^{2} } } *( 4 x^{3} - 32 x ) = \\ = \frac{2x( x^{2} -8)}{ \sqrt{ x^{4}-16 x^{2} } }$
c ) The slope of the line normal to the graph at x = 5
m = -1 / f `(x)
f ` ( x ) = $\frac{10(25-8)}{ \sqrt{625-400} }= \frac{10*17}{15} = \frac{34}{3}$
m = - 3/34

8 0

3 years ago

X=3y + 1<br> 2x + 4y =12

Alika [10]

Answer:

the solution is (4, 1).

Step-by-step explanation:

The goal here is to "solve this system of linear equations." You need to share that along with the equations.

We can begin the solution by substituting 3y + 1 for x in the second equation:

2(3y + 1) + 4y = 12

Performing the multiplication, we get 6y + 2 + 4y = 12, or 10y = 10.

Then y must be 1.

Substituting 1 for y in the first equation, we get x = 3(1) + 1 = 4

Thus, the solution is (4, 1).

4 0

3 years ago

Can someone answer this soon?!?

Sever21 [200]

First get all the terms on the same side:

$x^2 + 7x - 4 = 0$

Now solve using the quadratic formula which is:

$\frac{-b±\sqrt{b^2 - 4ac} }{2a}$

Plug in the values:

$\frac{-7± \sqrt{49-4(1)(-4)} }{2}$

So the answer is:

$\frac{-7 ± \sqrt{65} }{2}$

6 0

3 years ago

Factor the GCF: -6x^4y^5 - 15x^3y^2 + 9x^2y^3

natta225 [31]

<span>-6x^4y^5 - 15x^3y^2 + 9x^2y^3

</span>-6x^4y^5 = -2, 3, x, x, x, x, y, y, y, y, y
15x^3y^2 = -5, 3 x, x, x, y, y
9x^2y^3 = 3, 3 x, x, y, y, y

Each group has a 3 in common and each group has 2 x in common and each group has 2 y in common so the GCF = -3x^2y^2

Divide that out and we get
$\frac{-6x^4y^5 - 15x^3y^2 + 9x^2y^3}{-3x^2y^2} =$
$2x^2y^3 + 5x - 3y$
$-3x^2y^2(2x^2y^3 + 5x - 3y)$

5 0

3 years ago

Members of video game platform X-

Natalija [7]

Answer:

When number of games downloaded is at least 3

Step-by-step explanation:

Let x = number of games downloaded

Members = 50 + 2x

Non members = 20x

50 + 2x = 20x

50 = 20x - 2x

50 = 18x

x = 50/18

x = 2.78

At x = 2.78, both members and non members are paying the same amount

For members to make profits, the value of x must be greater than 2.78

Approximately x = 3

Check:

Members = 50 + 2x

= 50 + 2(3)

= 50 + 6

= 56

Non members = 20x

= 20(3)

= 60

3 0

2 years ago

Please Help me plzzzzzclick above​

Please Help me plzzzzzclick above