2 years ago

Graph the line please help

Mathematics

1 answer:

Alex787 [66]2 years ago

3 0

Here’s my answer from desmos!

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Serggg [28]

Answer:

Step-by-step explanation:

4 0

2 years ago

(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

2 years ago

Can someone please solve this?

forsale [732]

$|-8-6|=|-14|=14$

4 0

2 years ago

Six times a number plus 4 is same as the number minus 11

anygoal [31]

6x+4=x-11
x=-3
needs to be 20 characters

4 0

3 years ago

The length of the base of a triangle is twice its height. If the area of the triangle is 64 square kilometers, find the height.

frez [133]

Area of a triangle = base x height / 2
64 = base x height / 2
(multiply 2 on both sides)
128 = base x height
then if base= 16 and height = 8 then 16 x 8 = 128
thus the base is 16 which is twice the height:8

6 0

2 years ago