All categories

4 years ago

Please explain how you got your answer .

Mathematics

1 answer:

posledela4 years ago

7 0

Alright for you to solve this you basically need to break down the components of each term
So 6 can't be rationalized anymore but 18 can be
sqrt(18) is basically sqrt(2) times sqrt(9)
sqrt(9) is 3. So its 3sqrt(2)

The answer is sqrt(6) / 3 sqrt(2) but we can simplify that to sqrt3/3

You might be interested in

Find the greater common factor of 10 and 24

son4ous [18]

The factors and prime factorization of 10 and 24. The biggest common factor number is the GCF number. So the greatest common factor 10 and 24 is 2.

3 0

3 years ago

Read 2 more answers

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

I need help with 8 9 thanks

sasho [114]

#8: $900. (I found this answer by multiplying 3000 and 0.3 by the way)
#9: 160 miles. I found this answer by multiplying 80 by two, since two halves/50% make a whole or 100%.

3 0

3 years ago

You and some of your friends go to Six Flags. There, tickets are only $2 per

lora16 [44]

Answer:

Yes, it graphs easily.

Step-by-step explanation:

First of all we can see that is proportional and is positive, due to no powers being present, and the slope being positive. If you want the equation we first have to remember it is in y=ax+b form, using the problem we can see that the admission, or constant is 5, and the slope is 2. Then we plug in the numbers and get y=2x+5, and seeing that there is a small admission fee, we are forced to start at 5$. Therefore the answer is Yes, it graphs easily.

5 0

3 years ago

Read 2 more answers

The answer is B not C

Andreas93 [3]

Answer:

Step-by-step explanation:

because the answer is b... not c

8 0

3 years ago

Read 2 more answers