MATHEMATICS HIGH SCHOOL

Alissa is analyzing an exponential growth function that has been reflected across the y-axis. She states that the domain of the reflected function will change because the input values will be the opposite sign from the reflected function. Simon disagrees with Alissa. He states that if an exponential function is reflected across the y-axis, the domain will still be all real numbers.

Answers

Answer 1
Answer:

Answer:

Consider the exponential function

y=Ae^x

                     -----------(1)

and when it is reflected across y axis , it's equation becomes

y=Ae^(-x)

                --------------------------(2)

As, domain of a function is defined as the set of all values of x , for which y is defined.

So, for function 1,  domain is set of all real numbers.That is , x∈[-∞ ,∞]

And for function 2, which is reflection of function 1, it's domain will also be set of all real numbers.That is , x ∈ [-∞, ∞]

So, Simon is correct between Alissa and himself, as he is saying if an exponential function is reflected across the y-axis, the domain will still be all real numbers is true statement.
Answer 2
Answer: Simon is correct because even though the input values are opposite in the reflected function, any real number can be an input. 

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Need help with this HW solution. I have tried many times but just can't seem to work it out properly.

Find the inverse of the function y= -3/(x+4)

Answers

The inverse for this operation would be to find the equation for "x" since it's the equation for "y." Inverse means reverse in direction or position. To find the inverse of "y = -3/(x+4) , you would need to start by using the order of operations. Here's where you start: 
y = -3/(x+4)

Next, you want to get the (x+4) to the other side. Since it's being divided, multiply this number on both sides.

y = -3/(x+4) ⇒ (x+4)y = -3

Now, you need to get y on the opposite side. Divide both sides by y.

(x+4)y = -3 ⇒y÷ (x+4)y = -3 ÷ y

The y's cancel on the left, so you would have the equation: 

x+4 = -3/y

Now to get x by itself, subtract 4 from both sides.

x+4 = -3/y
  -4           -4

⇒x = -3/y -4 is your final answer. 
To find inverse function, you swap the y and the x, then solve for y:

x= (-3)/(y+4)

y+4= (-3)/(x)

∴ y= (-3)/(x) -4

The altitude of an equilateral triangle is 7 root 3 units long. The length of one side of the triangle is ____ units. A. 7
B. 14
C. 14 root 3
D. (7 root 3) /2

Answers

The altitude of an equilateral triangle:
h = s √3 / 2, where s is the length of one side of the triangle.
s √3 /2 = 7 √ 3   / : √3
s / 2 = 7
s = 7 * 2
s = 14 units
Answer:
B ) 14

Answer:

B ) 14

Step-by-step explanation:

The altitude of an equilateral triangle:

h = s √3 / 2, where s is the length of one side of the triangle.

s √3 /2 = 7 √ 3   / : √3

s / 2 = 7

s = 7 * 2

s = 14 units

Amelia used 19/20 pounds of flour to bake a cake. Write the quantity of flour she used in ____ decimal form. The decimal quantity of the flour Amelia used to bake the cake is pound.

Answers

Answer:

The decimal quantity of the flour Amelia used to bake the cake is 0.95 pound.

Step-by-step explanation:

Amelia used 19/20 pounds of flour to bake a cake.

We have to write the quantity of flour she used in decimal form.

To write in decimal form, we will divide 19 by 20.

So, the decimal quantity of the flour Amelia used to bake the cake is 0.95 pound.
.95 just divide 19/20

The lcm of a set of numbers is equal to one of the numbers in the set.

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Then, the number must be greatest in the series.

15: Mollie has d apples. Frankie has 7 more apples.Write an expression for the number of apples that
Frankie has.

Answers