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2 years ago

Please answer fast, I need it

Mathematics

1 answer:

Citrus2011 [14]2 years ago

3 0

180 degrees because both angles are on the same side of transversal so they have to add up to 180

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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

2 years ago

Compare the two linear functions.Select which has the greater rate of change and which has the greater initial value.

gizmo_the_mogwai [7]

Answer:

Function 1 is Greater Rate of change and Function 2 is Greater inital value

Step-by-step explanation:

I know I have that question

4 0

2 years ago

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One fourth of a box of cereal was shared equally among 3 people. How much cereal did each person get? Explain how you got your a

Mila [183]

Each person gets 0.083333..... of the box of cereal. i got my answer by dividing 0.25 or 1/4 by three and the answer was 0.083333 repeating.

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2 years ago

9/18 + 1/3 <br> Show all work

balu736 [363]

Answer:

5/6

5/6 Is the simplified answer the unsimplified answer is 15/18

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A coin is flipped 40 times and it lands on head 16 timed based on the experimental probability how many heads would you protect

crimeas [40]

24 abcdefghijklmnopqrstuvwxyz

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