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3 years ago

1-3x=8x+3 solve the equation

Mathematics

1 answer:

LenaWriter [7]3 years ago

8 0

First, subtract both sides by 8x and you would get:

1 - 11x = 3

Then, subtract both sides by 1 and you will get:

-11x = 2

Divide both sides by -11:

x = -2/11

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A rectangular prism with integer side lengths has two faces with areas 15 and 21. What could its volume be?

kari74 [83]

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Step-by-step explanation:

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3 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

3 years ago

Evan wants to split his

Alik [6]

Answer:

$595

Step-by-step explanation:

$1,785 / 3 = $595

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3 years ago

Read 2 more answers

What is the best estimate for 82% of 503?

AleksAgata [21]

82% of 503 is 412.46 hope this helps

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3 years ago

The number of roses (r) in a garden increases when the number of weeds (w) decreases. Write the correct equation for this scenar

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3 years ago