Mathemat

Mathematics

1 answer:

Svetradugi [14.3K]2 years ago

7 0

First 168 is with the discount
The tax is 11.76
168+ 11.76 is 179.76

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Find 26th term in the arithmetic sequence: -15,-35,-55,-75,...

disa [49]

Answer:

-515

Step-by-step explanation:

In this example the first value is −15 and every value afterwards is 20 less.

After substituting these values to above formula, we obtain:

All we have to do is add 25 twenties or 25 x 20 = 500 and -15 - 500 = -515

5 0

2 years ago

Read 2 more answers

(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

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