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3 years ago

What’s the answer to this

Mathematics

2 answers:

liraira [26]3 years ago

4 0

Answer:

idk what's the answer to this... so what's the question?

LuckyWell [14K]3 years ago

3 0

Am not able to see the question

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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

3 years ago

a can of pinapple juice is a cylinder with a radius of 2.4 in. and a height of 11. what is the are odf the label around the can

pshichka [43]

A=2πrh+2πr²
A≈202.07
hopes that helps

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3 years ago

Six less than the quotient of a number and 4 is 15

sergey [27]

-6 ÷ 4x = 15, six is less than the quotient and quotient mean division, replace a number with a variable and put it with four and the you would put equal 15

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The lengths of a certain species of fish are approximately normally distributed with a given mean (look at the picture) and stan

tatyana61 [14]

The empirical rule states that approximately 68/95/99.7% of a normal distribution lies within 1/2/3 standard deviations. So the answer is 68%.

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This table gives a few (x,y) pairs of a line in the coordinate plane.

Anna11 [10]

Answer:0,4

I hope this helps, all i did was put the table into a website that made it into a equation then put that equation into desmos and it showed the y intercept of the line.

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