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3 years ago

If f(y) = 8 + e-9y, find f'(y). Use exact values.

Mathematics

1 answer:

mestny [16]3 years ago

3 0

Answer:

$f'(y) = -9e^{-9y}$

Step-by-step explanation:

The given function is :

$f(y) = 8 + e^{-9y}$

We need to find the value of f'(y).

$f'(y)=\dfrac{d}{dy}[8+e^{-9y}]$

$=\dfrac{d}{dy}(8)+\dfrac{d}{dy}(e^{-9y})\\\\=0+e^{-9y}\dfrac{d}{dy}(-9y)\\\\=-9e^{-9y}$

So, the value of f'(y) is equal to $-9e^{-9y}$ .

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How many triangles can you make with straws the lengths 2,1,2 inches

Yuliya22 [10]

Answer:

You can't make any triangle

Step-by-step explanation:

we know that

The T<u>riangle Inequality Theorem</u> states that the sum of any 2 sides of a triangle must be greater than the measure of the third side.

In this problem

$2+1>2$

$3>2$ -----> is not true

therefore

You can't make any triangle.

5 0

3 years ago

Can someone help please?

Over [174]

Answer:

its A

Step-by-step explanation:

8 0

4 years ago

Is this equation linear: 2x+5xy-3=0

Lina20 [59]

What is linear equation?

An equation between two variables that gives a straight line when plotted on a graph.

2x + 5xy - 3 = 0

x (2 + 5y) -3 = 0

x ( 2 + 5y ) = 3

2 + 5y = 3 / x

5y = (3/x) - 2

y = ( (3/x) - 2) / 5

According to the graph i don't think it's a linear equation.

3 0

3 years ago

Jacob transformed quadrilateral FGHJ to F'G'H'J'.

Rudik [331]

Answer:

A. Reflection across the line x = 1

Step-by-step explanation:

Please find the attachment.

We have been given that Jacob transformed quadrilateral FGHJ to F'G'H'J'. We are asked to find which transformation Jacob used to reflect FGHJ to F'G'H'J'.

Since we know that while reflecting a figure, the line of reflection will lie between the original figure and reflected figure. Each point of the reflected figure will have the same distance from the line of reflection as the corresponding point of the original figure.

Now let us see our given choices one by one.

A. Reflection across the line x = 1.

Upon looking at point G and G' we can see that both points are equidistant (2 units) from the line x=1. Other corresponding points of both quadrilaterals are also equidistant from line x=1, therefore, Jacob used the reflection across the line x=1 to transform quadrilateral FGHJ to F'G'H'J'.

B. Reflection across the line y = 1 .

If Jacob had reflected quadrilateral across line y=1, the points of quadrilateral F'G'H'J' will lie in second and third quadrant. We can see from our graph that F'G'H'J' lies in 1st quadrant, therefore, option B is not a correct choice.

C. Reflection across the line y-axis.

If Jacob had reflected quadrilateral across y-axis, the coordinates of points of quadrilateral F'G'H'J' will be G'(1,4), H'(1,2), J'(4,0) and F'(2,5). Therefore, option B is not a correct choice.

D. Reflection across the x -axis.

If Jacob had reflected quadrilateral across x-axis, the points of quadrilateral F'G'H'J' will lie in third quadrant. We can see from our graph that F'G'H'J' lies in 1st quadrant, therefore, option D is not a correct choice.