2 years ago

In Raphael's class there are 14 boys and 10 girls. Select whether each statement is true or false.

Mathematics

2 answers:

KonstantinChe [14]2 years ago

7 0

I do t know I just want points

SpyIntel [72]2 years ago

6 0

Answer:

TRUE

FALSE

BOZO WHAT ARE STOPPPIDDD LIKE ARE YOU FROM NEW YORK EVEN

Step-by-step explanation:

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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

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