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3 years ago

Prove the given trigonometric equation.

Mathematics

1 answer:

AURORKA [14]3 years ago

3 0

Answer:

Proving an identity is very different in concept from solving an equation.

Step-by-step explanation:

because it Though you'll use many of the same techniques, they are not the same, and the differences are what can cause you problems.

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What is the least value of x for which the inequality is true? 16 > - 2x

Harrizon [31]

Answer:

Step-by-step explanation:

16>-2x

-2x<16

x>-8

6 0

3 years ago

A horse can run 44 per second for several minutes. A cheetah can run faster (88 feet per second) but can only sustain its top sp

qaws [65]

Answer:

44 feet

If it takes the horse 44 feet per second, and it takes the cheetah 88 feet, the difference is 44.

So, the horse must be 44 feet ahead to be safe. Hope it helps!

6 0

3 years ago

Write an exponential function y = abx for a graph that includes (–3, 16) and (–1, 4) f(x) = 2(0.5)x f(x) = 0.5(2)x f(x) = 4(0.3)

Arisa [49]

Answer: $f(x)=2(0.5)^x$

Step-by-step explanation:

Given, the exponential function $y = ab^x$ for a graph that includes (–3, 16) and (–1, 4).

On putting these points, we will have

$f(-3)=16=ab^{-3}\\\\ f(-1)=4=ab^{-1}$

Now,

$\dfrac{f(-3)}{f(-1)}=\dfrac{16}{4}=\dfrac{ab^{-3}}{ab^{-1}}\\\\\Rightarrow\ \dfrac{4}{1}=\dfrac{b^{-3}}{b^{-1}}\\\\\Rightarrow\ \dfrac{4}{1}=\dfrac{b}{b^3}=\dfrac{1}{b^2}\\\\\Rightarrow\ b^2=\dfrac{1}{4}\\\\\Rightarrow\ b=\pm\dfrac{1}{2}=\pm0.5$

since the multiplicative factor cannot be negative, so b= 0.5.

At b= 0.5

$4=a(0.5)^{-1}\\\\\Rightarrow\ 4=a(\dfrac{1}{2})^{-1}\\\\\Rightarrow\ 4=a(2)\\\\\Rightarrow \ a=2$

So, the required function is $f(x)=2(0.5)^x$ .

3 0

4 years ago

How can you write each distance as a fraction? Explain

77julia77 [94]

What is the distance

4 0

3 years ago

Simplify (2 x^13)^4 A. 8x^17 B.16x^17 C. 8x^52 D. 16x^52

Ivan

Answer:

D.16x^52 I worked it out on paper

4 0

4 years ago