2 years ago

Use the elimination method to slove the system of equations. 2x+4y=10 3x-4y=5

Mathematics

1 answer:

DochEvi [55]2 years ago

6 0

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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The product of 8 and b is less than or equal to 13

Ugo [173]

Answer:

1 or 0

Step-by-step explanation:

8 x b = 13

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maks197457 [2]

Answer:

See below

Step-by-step explanation:

We want to prove that

$\sin(x)\tan(x) = \dfrac{1}{\cos(x)} - \cos(x), \forall x \in\mathbb{R}$

Taking the RHS, note

$\dfrac{1}{\cos(x)} - \cos(x) = \dfrac{1}{\cos(x)} - \dfrac{\cos(x) \cos(x)}{\cos(x)} = \dfrac{1-\cos^2(x)}{\cos(x)}$

Remember that

$\sin^2(x) + \cos^2(x) =1 \implies 1- \cos^2(x) =\sin^2(x)$

Therefore,

$\dfrac{1-\cos^2(x)}{\cos(x)} = \dfrac{\sin^2(x)}{\cos(x)} = \dfrac{\sin(x)\sin(x)}{\cos(x)}$

Once

$\dfrac{\sin(x)}{\cos(x)} = \tan(x)$

Then,

$\dfrac{\sin(x)\sin(x)}{\cos(x)} = \sin(x)\tan(x)$

Hence, it is proved

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2 years ago

The range of the function f(x) = x + 5 is {7, 9}. What is the function’s domain?

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Answer:

Step-by-step explanation:

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