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2 years ago

9. How can you identify a and b from a table?

Mathematics

2 answers:

Sholpan [36]2 years ago

4 0

Answer:

A function is said to be an exponential function if equal steps in the independent variable produce equal ratios for the dependent variable.

Step-by-step explanation:

pshichka [43]2 years ago

4 0

Answer:

the y axies

Step-by-step explanation:

css its not the x

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Cos^2 x+4sin^2 x/2=1

lana [24]

$Let\ \dfrac{x}{2}=a,\ therefore\ x=2a.\\\\\cos^2x+4\sin^2\dfrac{x}{2}=\cos^22a+4\sin^2a\\\\\text{use}\ \cos2x=\sin^2x-\cos^2x\\\\=(\sin^2a-\cos^2a)^2+4\sin^2a\\\\\text{use}\ (a-b)^2=a^2-2ab+b^2\\\\=(\sin^2a)^2-2(\sin^2a)(\cos^2a)+(\cos^2a)^2+4\sin^2a\\\\=\sin^4a-2\sin^2a\cos^2a+\cos^4a+4\sin^2a\\\\=\underbrace{\sin^4a+2\sin^2a\cos^2a+\cos^4a}_{(*)}-4\sin^2a\cos^2a+4\sin^2a\\\\\text{use}\ (*)\qquad(a+b)^2=a^2+2ab+b^2$

$=\underbrace{(\sin^2a)^2+2\sin^2a\cos^2a+(\cos^2a)^2}_{(*)}-4\sin^2a(\cos^2a-1)\\\\=(\sin^2a+\cos^2a)^2-4\sin^2a(\cos^2a-1)\\\\\text{use}\ \sin^2a+\cos^2a=1\to\sin^2a=\cos^2a-1\\\\=1^2-4\sin^2a(\sin^2a)=1-4\sin^4a=1-(2\sin^2a)^2$

$\cos^22a+4\sin^2a=1\\\\1-(2\sin^2a)^2=1\qquad\text{subtract 1 from both sides}\\\\-(2\sin^2a)^2=0\to2\sin^2a=0\qquad\text{divide both sides by 2}\\\\\sin^2a=0\to\sin a=0\\\\a=k\pi\ for\ k\in\mathbb{Z}\\\\\dfrac{x}{2}=k\pi\qquad\text{multiply both sides by 2}\\\\\boxed{x=2k\pi\ for\ k\in\mathbb{Z}}$

6 0

3 years ago

-4/7p + (-2/7p) + 1/7

horsena [70]

Answer:

$\frac{1-6p}{7}$

Step-by-step explanation:

- $\frac{4}{7}p + (-\frac{2}{7}p) + \frac{1}{7}$

Factor out $\frac{1}{7}$

$\frac{-4p - 2p + 1}{7}$

Consider −4p − 2p + 1. Multiply and combine like terms.

-6p + 1

Rewrite the complete factored expression.

$\frac{-6p + 1}{7}$

Hope it helps and have a great day! =D

~sunshine~

3 0

2 years ago

4 consecutive integers to equal 2

kirill115 [55]

The answer is 2,4,6,and 8

5 0

3 years ago

Simplify the expression x^2+3x-28/x^2-7x+12

EleoNora [17]

X^2 + 3x - 28 factors to (X+7)(X-4)
X^2 - 7X + 12 factors to (X-4)(X-3)
Now we see that the equation is [(X+7)(X-4)]/[(X-4)(X-3)]
By dividing the top and bottom by (X-4), we see that the equation equals (X+7)/(X-3).

6 0

3 years ago

Read 2 more answers

I need some help on this, please.

Free_Kalibri [48]

Hey there!

Area= length*width.

6.2 is the length and 3.7 is the width

3.7 *6.2= 22.94 yd^2

I hope this helps!

~kaikers

7 0

3 years ago