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2 years ago

6

Determine the period.

1 answer:

maks197457 [2]2 years ago

5 0

3

The period is the amount it time it takes to make one complete cycle. If we start at 0 for simplicity sake, the graph is at its maximum point. It reaches its maximum point again at 3, this is one complete cycle and thus the period is 3.

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Consider the first five steps of the derivation of the Quadratic Formula.

lara31 [8.8K]

Answer:

Full proof below

Step-by-step explanation:

$\displaystyle ax^2+bx+c=0\\\\ax^2+bx=-c\\\\x^2+\biggr(\frac{b}{a}\biggr)x=-\frac{c}{a}\\\\x^2+\biggr(\frac{b}{a}\biggr)x+\biggr(\frac{b}{2a}\biggr)^2=-\frac{c}{a}+\biggr(\frac{b}{2a}\biggr)^2\\\\x^2+\biggr(\frac{b}{a}\biggr)x+\frac{b^2}{4a^2}=-\frac{c}{a}+\frac{b^2}{4a^2}\\ \\\biggr(x+\frac{b}{2a}\biggr)^2=-\frac{4ac}{4a^2}+\frac{b^2}{4a^2}\\ \\\biggr(x+\frac{b}{2a}\biggr)^2=\frac{b^2-4ac}{4a^2}\\ \\x+\frac{b}{2a}=\pm\frac{\sqrt{b^2-4ac}}{2a}\\ \\x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

6 0

2 years ago

The cube of the difference of 1 and a number.

vampirchik [111]

No clue but good luck

8 0

3 years ago

1. Given that 4x²- 16x + 15 = a(x-p)²+ q for all values of x.

FinnZ [79.3K]

Answer:

a = 4, p = 2, q = - 1

Step-by-step explanation:

Expand the right side of the identity, then compare the coefficients of like terms with those on the left side.

a(x - p)² + q ← expand (x - p)² using FOIL

= a(x² - 2px + p²) + q ← distribute parenthesis

= ax² - 2apx + ap² + q

Compare coefficients of x² term

a = 4

Compare coefficients of x- term

- 2ap = - 16, that is

- 2(4)p = - 16

- 8p = - 16 ( divide both sides by - 8 )

p = 2

Compare constant terms

ap² + q = 15 , that is

4(2)² + q = 15

16 + q = 15 ( subtract 16 from both sides )

q = - 1

Thus a = 4, p = 2, q = - 1

8 0

3 years ago

Help please ASAP. URGENT. what is the answer

MaRussiya [10]

Answer:

374.83

Step-by-step explanation:

the rectangular prism is 240 and the triangular prism is 134.83

A=2(wl+hl+hw)=2·(6·6+7·6+7·6)=240

and i looked up the triangular one

5 0

3 years ago

I have this question that i dont get plz help-2|2.2x-3.3|=-6.6

maria [59]

Step-by-step explanation:

Absolute value of a number gives the positive quantity of the number.

For instance,

$|3|=3, |-3|=3$

From this example, therefore we know that

$\text{If }|x|=a,\text{ then }x=a\text{ or } -a.$

--------------------------------------------

In this question,

$-2|2.2x-3.3|=-6.6$

$|2.2x-3.3|=3.3$

$2.2x-3.3=3.3\text{ or } -3.3$

$2.2x=3.3+3.3 \text{ or }-3.3+3.3$

$2.2x=6.6\text{ or } 0$

$x=3\text{ or } 0$

8 0

3 years ago

Read 2 more answers