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4 years ago

Simplify (1 − sin x)(1 + sin x). (2 points)

Mathematics

1 answer:

choli [55]4 years ago

4 0

Answer:

cos²x

Step-by-step explanation:

(a-b)(a+b)=a²-b²

sin²x+cos²x=1 => cos²x=1-sin²x

(1 − sin x)(1 + sin x)=1-sin²x=cos²x

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Re-write the equation without the h component.

levacccp [35]

Answer:

$f(x) = 2[\frac{3^x}{9}] + 2$

$f(x) = 8(4)^x$

Step-by-step explanation:

Given

$f(x) = 2(3)^{x-2} + 2$

$f(x) = \frac{1}{2}(4)^{x+2}$

Required

Remove the h component

In a function, the h component is highlighted as:

$f(x) = a^{x+h}$

So, we have:

$f(x) = 2(3)^{x-2} + 2$

Split the exponents using the following law of indices:

$a^m/a^n = a^{m-n}$

$f(x) = 2*\frac{3^x}{3^2} + 2$

$f(x) = 2*\frac{3^x}{9} + 2$

$f(x) = 2[\frac{3^x}{9}] + 2$

<em>The h component has been removed</em>

$f(x) = \frac{1}{2}(4)^{x+2}$

Split the exponent using the following law of indices

$a^{m+n} =a^m * a^n$

So, we have:

$f(x) = \frac{1}{2}(4)^x * 4^2$

Express 4^2 as 16

$f(x) = \frac{1}{2}(4)^x * 16$

Divide 16 by 2

$f(x) = 8(4)^x$

3 0

3 years ago

The slope of a line is 0, and the y-Intercept Is 6. What is the equation of the line written in slope-intercept form?

sdas [7]

Answer:

y=6

Step-by-step explanation:

if a slope is 0 than its just y=b. I hope u have a good day

6 0

3 years ago

This is the graph of f(x). what is the value of f(3)

muminat

f(3) is where the line is on the Y axis when X is 3:

Looking at the red line when it passes over X3, the line is on Y8.

The answer is B.8

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3 years ago

Read 2 more answers

For the graph, locate the x-intercept and the y-

chubhunter [2.5K]

X intercept= 6
y intercept= -2

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3 years ago

Common Denominators<br> 15. Explain how you can find a common denominator for and

VLD [36.1K]

You can find a common denominator using the two denominators multiples.

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3 years ago