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Ainat [17]
3 years ago
11

3 is 75% of what number​

Mathematics
1 answer:
Aleonysh [2.5K]3 years ago
6 0

Answer:

4

Step-by-step explanation:

.75 × 4 = 3

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sdas [7]
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(X^4)-(45x^2)+324 what are the zeroes? And how many turning points?
dmitriy555 [2]

Zeroes:

We must solve

x^4-45x^2+324=0

To do so, we define the auxiliary variable t=x^2. The equation becomes

t^2-45t+324=0

The quadratic formula yields the solutions

t=9,\quad t=36

Substituting back t=x^2 gives

x^2=9 \iff x=\pm 3,\quad x^2=36 \iff x=\pm 6

So, the zeroes are -6, -3, 3, 6.

Turning points:

Turning points are points where a function stops being increasing to become decreasing, or vice versa. Since functions are increasing when their first derivative is positive and decreasing when it's negative, turning points are points where the first derivative is zero.

We have

f(x)=x^4-45x^2+324 \implies f'(x)=4x^3-90x

If we set the derivative to be zero, we have

4x^3-90x=0 \iff x(4x^2-90)=0

So, the derivative is zero if x=0 or

4x^2=90 \iff 2x^2=45 \iff x^2=\dfrac{45}{2}\iff x=\pm\sqrt{\dfrac{45}{2}}

6 0
3 years ago
What is the length of ab
tia_tia [17]
Apply the Pyth Thm twice:  

diagonal of base is sqrt(4^2+6^2).

Then the length of diagonal AB is L = [sqrt(4^2+6^2)]^2 + [sqrt(1)]^2
3 0
3 years ago
Which of the following is equal to <img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B5%5E2%7D%20%20" id="TexFormula1" title=
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Immediately omit the negative possible answer. Since 5^2 = 25, 1/5^2 = 1/25.

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85 points!! | All of the following expressions have the same value, when x= -2 and y= 4, except
slavikrds [6]

Answer:

They have two sets of equal answers...

Step-by-step explanation:

-2 * 2 * 4 = -16

0 - 4 * -2 * -2 = -16

0 * -2 * -2 * 4 = 0

0 * 4 * 4 = 0

4 0
3 years ago
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