2 years ago

Use trigonometric identities to solve each equation within the given domain.

Mathematics

1 answer:

saul85 [17]2 years ago

5 0

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3.333333333333...

Step-by-step explanation:

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3 years ago

Read 2 more answers

Thursday: For the equation y=3x+5 what is the value of x when y=11? * *

poizon [28]

Answer:

$\huge\boxed{\bf\: 2 = x}$

Step-by-step explanation:

Given,

y = 11

We need to find x.

Equation: y = 3x + 5.

On solving,

$y = 3x + 5\\(11) = 3x + 5\\11 - 5 = 3x\\6 = 3x\\6 \div 3 = x\\\boxed{\bf\:2=x}$

$\rule{150pt}{2pt}$

7 0

1 year ago

What is the simplified base of the function f(x) = One-fourth (Root Index 3 StartRoot 108 EndRoot) Superscript x?

marta [7]

Answer:

The base is: $3 \sqrt[3]{4}$

Step-by-step explanation:

Given

$f(x) = \frac{1}{4}(\sqrt[3]{108})^x$

Required

The base

Expand 108

$f(x) = \frac{1}{4}(\sqrt[3]{3^3 * 4})^x$

Rewrite the exponent as:

$f(x) = \frac{1}{4}(3^3 * 4)^\frac{1}{3}^x$

Expand

$f(x) = \frac{1}{4}(3^3^\frac{1}{3} * 4^\frac{1}{3})^x$

$f(x) = \frac{1}{4}(3 * 4^\frac{1}{3})^x$

Rewrite as:

$f(x) = \frac{1}{4}(3 \sqrt[3]{4})^x$

An exponential function has the following form:

$f(x)=ab^x$

Where

$b \to base$

By comparison:

$b =3 \sqrt[3]{4}$

So, the base is: $3 \sqrt[3]{4}$

4 0

1 year ago