Which equation can be simplified to find the inverse of y = 5x2+10?A. x = 5y2 + 10
B. 1/y=5x^2+10
C. –y = 5x2 + 10
D. y= 1/5x^2+1/10

Answers

Answer 1

Answer: To find the inverse of a function, simply switch y with x:

So, y = 5x2 + 10 will become x = 5y2 + 10.

The correct option will therefore be A.

Answer 2

Answer:

Answer:

I agree, it's also A.

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Polygon ABCDEFGH will be dilated by a scale factor of 3.4 with the origin as the center of dilation to produce polygon A'B'C'D'EFG'H'. What will the length of A'H' be?

Answers

Even though you didn't attach any options I bet you have the same that I write in your task. I am pretty sure that length of A'H' should be 6.8 units. Do hope it will help you.

Solution:

Polygon ABCDEFGH is dilated by a scale factor of 3.4 with the origin as the center of dilation to produce polygon A'B'C'D'EFG'H'.

As, when a polygon is dilated , the two pre image and image are similar to each other.

Also, similar shapes have same ratio of their corresponding sides length.

→Pre image (Polygon ABCDEFGH) ~Image ( A'B'C'D'EFG'H').

Dilation factor >1, equal to 3.4.

$(AB)/(A'B')=(BC)/(B'C')=(CD)/(C'D')=(DE)/(D'E')=(EF)/(E'F')=(FG)/(F'G')=(GH)/(G'H')=(AH)/(A'H')=(1)/(3.4)\n\n A'H'=3.4* AH$

Length of segment A'H'=3.4 AH

What is the inverse of the function f(x) = 1/4x - 12?

Answers

Hello,

y=1/4 x-12
x=1/4 y -12 (exchange x and y)
1/4y=x+12
y=4(x+12) solve for y
y=4x+48

It is addition inverse means opposite

The converse of a conditional statement is "If the sum of the exterior angles of a figure is 360°, then the figure is a polygon.” What is the inverse of the original conditional statement?

A. If a figure is a polygon, then the sum of the exterior angles is 360°.

B. If the sum of the exterior angles of a figure is not 360°, then the figure is not a polygon.

C. If the sum of the exterior angles of a figure is 360°, then the figure is not a polygon.

D. If a figure is not a polygon, then the sum of the exterior angles is not 360°.

Answers

Answer:

The correct option is D.

Step-by-step explanation:

Converse statement : If the sum of the exterior angles of a figure is 360°, then the figure is a polygon.

Now, to form a converse statement, the conclusion becomes the hypothesis and the hypothesis becomes the conclusion.

So, to form the original statement of the given converse statement : Hypothesis will become conclusion and the conclusion becomes our hypothesis.

⇒ Original Statement : The figure is a polygon if the sum of the exterior angles of a figure is 360°.

Now to form the inverse we need the negation of both hypothesis and the conclusion.

Hence, The inverse of the original statement is : If a figure is not a polygon, then the sum of the exterior angles is not 360°.

Therefore, The correct option is D.

The answer is D because the statement is saying it's not a polygon if the sum of the exterior angles is not 360 which is the opposite of the statement

4x 2 is less than or equal to -32

Answers

Less than is the answer

less than is the answer

What is the mean of -0.05, 0.09, -0.04,-0.08

Answers

Answer:

-0.02

Step-by-step explanation:

To find the mean (average) of a set of numbers, you add up all the numbers and then divide by the total count of numbers. In this case, you have four numbers: -0.05, 0.09, -0.04, and -0.08.

Mean = (Sum of the numbers) / (Total count of numbers)

Mean = (-0.05 + 0.09 - 0.04 - 0.08) / 4

Now, calculate the sum of these numbers:

Mean = (-0.05 + 0.09 - 0.04 - 0.08) = -0.08

Now, divide the sum by the total count of numbers, which is 4:

Mean = -0.08 / 4 = -0.02

So, the mean of the numbers -0.05, 0.09, -0.04, and -0.08 is -0.02.

How is (s-t)(s/t) equivalent to (s^2/t) -s