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DiKsa [7]
2 years ago
13

Given f ( x ) = 1 x + 10 , find the average rate of change of f ( x ) on the interval [ 8 , 8 + h ] . Your answer will be an exp

ression involving h .
Mathematics
1 answer:
son4ous [18]2 years ago
6 0

Answer: 1

Step-by-step explanation:

f(8+h)=8+h+10=18+h\\\\f(8)=8+10=18

So, the average rate of change is:

\frac{(18+h)-18}{(8+h)-8}=\frac{h}{h}=\boxed{1}

The question is wrong, the expression will not be in terms of h since it is a linear function.

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a utility worker is 5.5 feet tall and is casting a shadow 4 feet long at the same time a nearby utility pole casts a shadow 20 f
Assoli18 [71]

So this is essentially a proportion problem. They want you to be able to recognize a relationship between the two. The easiest way to go about this is to draw a picture (I have included one). What you want to do is notice that you are given both shadow lengths. This is essentially going to be your first step to creating the proportion.


Understanding that we know the shadow lengths, we can turn these into a fraction such as so:


4ft/20ft.


Now that we know that, we need to look at are unknown. Our unknown is the height of the utility pole. We can solve this by substituting for X since we know the utility worker is 5.5 ft tall.


Your fraction for that would look like:


5.5ft/X


Make sure to always make your top to top match, such as since I put the utility worker's shadow on top, I need to put his height on top.

Now we can solve.

4ft/20ft =5.5ft/X


We need to cross multiply to get an equation we can work with. If we cross multiply, Your equation will look like:


4x = 110ft


This is a simple one step equation. Divide both sides by 4 to get your answer.

x= 27.5ft.

This means your Utility pole's height is 27.5ft.

6 0
3 years ago
Lindsey’s cookie recipe uses 1 1/2 cups of brown sugar to make 2 dozen cookies. Lexi wants to make only 1 dozen cookies. How muc
Xelga [282]

Answer:

3/4 cups

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
1) Which diagram shows the correct construction of a line parallel to line l and passing through point P?
kherson [118]

1)To construct a line parallel to line l and passing through point P our first step is to join the point and line and then draw angles in such a way so that corresponding angles are equal.

Option B is the correct construction of a line parallel to line l and passing through point P.

2) To Construct the perpendicular line to line DE at point F we cut an arc from point F  to line DE in such a way it cuts line DE at two points .From these two points we draw arcs which cut each other .

Option C is the correct option  to Construct the perpendicular line to line DE at point F.

3) To Construct a perpendicular from the given line segment that passes through the given point we cut two arcs on top and bottom of line segment.

Option B is the right answer.

3 0
3 years ago
If a sled cost 99.50, and the markup is 95%, what's the selling price?
Mamont248 [21]
It is $94.52
99.5% of 100=
6 0
3 years ago
A coordinate plane with two polygons is shown. Polygon EFGH has vertices E at 1 comma 1, F at 1 comma 4, G at 5 comma 4, and H a
svetoff [14.1K]

Answer:

B. A translation 1 unit to the right followed by a 90-degree counterclockwise rotation about the origin

Step-by-step explanation:

Polygons EFGH and E′F′G′H′ are shown on the coordinate grid:

What set of transformations is performed on EFGH to form E′F′G′H′?

A. A translation 1 unit to the left followed by a 90-degree counterclockwise rotation about the origin

B. A translation 1 unit to the right followed by a 90-degree counterclockwise rotation about the origin

C. A 90-degree clockwise rotation about the origin followed by a translation 2 units to the right

D. A 90-degree clockwise rotation about the origin followed by a translation 2 units to the left

Answer: Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, dilation and rotation.

If a point X(x, y) is translated a units right and b units up, the new location is (x + a, y + b) also If a point X(x, y) is translated a units left and b units down, the new location is (x - a, y - b)

If a point X(x, y) rotated 90-degree counterclockwise about the origin, the new location is X'(-y, k)

Polygon EFGH has vertices E(1, 1), F(1, 4), G(5, 4), and H(4, 1). If the polygon is translated 1 unit right, the new location is E*(2, 1), F*(2, 4), G*(6, 4) and H*(5, 1).

If it is then rotated 90-degree counterclockwise about the origin, the new location is E'(-1, 2), F'(-4, 2), G'(-4, 6) and H'(-1, 5)

4 0
3 years ago
Read 2 more answers
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