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3 years ago

Quick help needed, need someone to check my answer.

1 answer:

4 0

The answer is B. 10 vertices because it all depends on the edges. You have to subtract the edges by faces/vertices to get your faces/vertices so 20-12 is 10 so you are correct

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What is the range of the equation

a_sh-v [17]

The range of the equation is $y>2$

Explanation:

The given equation is $y=2(4)^{x+3}+2$

We need to determine the range of the equation.

<u>Range:</u>

The range of the function is the set of all dependent y - values for which the function is well defined.

Let us simplify the equation.

Thus, we have;

$y=2 \cdot 4^{x+3}+2$

This can be written as $y=2^{1+2(x+3)}+2$

Now, we shall determine the range.

Let us interchange the variables x and y.

Thus, we have;

$x=2^{1+2(y+3)}+2$

Solving for y, we get;

$x-2=2^{1+2(y+3)}$

Applying the log rule, if f(x) = g(x) then $\ln (f(x))=\ln (g(x))$ , then, we get;

$\ln \left(2^{1+2(y+3)}\right)=\ln (x-2)$

Simplifying, we get;

$(1+2(y+3)) \ln (2)=\ln (x-2)$

Dividing both sides by $\ln (2)$ , we have;

$2 y+7=\frac{\ln (x-2)}{\ln (2)}$

Subtracting 7 from both sides of the equation, we have;

$2 y=\frac{\ln (x-2)}{\ln (2)}-7$

Dividing both sides by 2, we get;

$y=\frac{\ln (x-2)-7 \ln (2)}{2 \ln (2)}$

Let us find the positive values for logs.

Thus, we have,;

$x-2>0$

$x>2$

The function domain is $x>2$

By combining the intervals, the range becomes $y>2$

Hence, the range of the equation is $y>2$

7 0

4 years ago

HURRY PLEASE Which function is the inverse of f(x) = -5x – 4?

vagabundo [1.1K]

Answer:

f^-1(x)= -x/5 - 4/5

Step-by-step explanation:

7 0

3 years ago

A binomial probability distribution has p = .20 and n = 100.

AleksAgata [21]

Answer:

Mean = 0.2(100) = 20

Variance = 0.2×0.8×100 = 16

Standard deviation = 4

Yes, np > 5 & nq > 5

3 0

3 years ago

Read 2 more answers

What is 4.5 times 10 to the third power?

seropon [69]

4500 is the answer to this question.

8 0

3 years ago

Read 2 more answers

5÷x-4 - 2÷x+2 = 4÷x-4

Alborosie

I'd suggest you begin by subtracting 4 / (x-4) from both sides. Doing that would leave you with 1 / (x-4) - 2 / (x+2) = 0.

LCD is (x-4)(x+2). Mult. all three terms by (x-4)(x+2). The resulting equation is

x+2 - 2(x-4) = 0. Then x+2 = 2x - 8 => x = 10

Subst. 10 for x in the original equation to verify that 10 is indeed a solution.

8 0

3 years ago