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GREYUIT [131]
3 years ago
7

Let f be a differentiable function such that f(0) = -5 and f'(x) is less than or equal to 3 for all x. Of the following, which i

s not a possible value for f(2)?
Mathematics
1 answer:
Elanso [62]3 years ago
3 0
Since the function has a slope that cannot go above 3 for all x, f(2) cannot be any value greater than 1.

I may be wrong, but this is what I believe the answer is.
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David is going to install tiles on the floor of two rooms. One of the floors is 18 feet long by 12 feet wide. The other floor is
crimeas [40]
Dimension of one of the floors of one room that David wants to install tiles is 18feet long by 12 feet wide
Then
Area of the above room = 18 * 12 square feet
                                       = 216 square feet
Dimension of the floor of the other room that David wants to install tiles is 24 feet long and 16 feet wide
Then
Area of the other room = 24 * 16 square feet
                                     = 384 square feet
Then
The total square feet of the
rooms that David wants to install tiles = 216 + 384
                                                             = 600 square feet
Cost of the tile that covers 1 square feet = $5
Cost of the 4 tiles that cover 4 square feet = $17
Then  
Area that can be covered with 4 square feet of tiles = 600/4 square feet
                                                                                  = 150 square feet
Minimum cost of covering
the two rooms that David wants to install tiles = 150 * 17 dollars
                                                                          = 2550 dollars
So the minimum cost of installing the tiles on the two floors of David's two rooms is $2550. I hope the procedure is simple enough for you to understand.            
8 0
3 years ago
The mean number of goals scored is 2.5.
LenaWriter [7]

Answer:

2 games.

Step-by-step explanation:

2.5 + 1.8 = 4

4 divided by 2 = 2

5 0
3 years ago
What is the area of the parllelogtam shown below
Umnica [9.8K]
<h3>Answer: 16 square units</h3>

Let x be the height of the parallelogram. Right now it's unknown, but we can solve for it using the pythagorean theorem. Focus on the right triangle. It has legs a = 3 and b = x, with hypotenuse c = 5

a^2 + b^2 = c^2

3^2 + x^2 = 5^2

9 + x^2 = 25

x^2 = 25-9

x^2 = 16

x = sqrt(16)

x = 4

This is a 3-4-5 right triangle.

The height of the parallelogram is 4 units.

We have enough info to find the area of the parallelogram

Area of parallelogram = base*height

Area of parallelogram = 4*4

Area of parallelogram = 16 square units

Coincidentally, the base and height are the same, which isn't always going to be the case. The base is visually shown as the '4' in the diagram. The height is the dashed line, which also happens to be 4 units long.

6 0
3 years ago
Someone please help me with this problem!!! I really need help and I don’t understand it!! If you know it please explain how you
nikitadnepr [17]
Distance = Rate * Time where the asterisk represents multiplication

We can isolate the rate if we divide both sides by the time. So we'll end up with this formula
Rate = Distance/Time
which can be written as 
r = d/t

The distance is measured in feet while the time is measured in minutes. The rate r is measured in feet per minute. If the speed was 10 feet per minute, then this would mean that the object travels 10 feet every minute. Or put another way, when one minute passes by, the object has traveled 10 feet.

How did I get "feet per minute" from the equation r = d/t? 
Well the units for "d" are in feet, and the units for "t" are in minutes

So writing "d/t" would turn into "feet/minute" when we think of the units only (ignore the actual numbers). Then we rewrite "feet/minute" into "feet per minute" as they mean the same thing, just written different ways. 

-----------------------------------------------------

Answer: The units for the speed or rate are in feet per minute
3 0
3 years ago
The expression (7-4i)-(3-12i) simplified is
Marizza181 [45]

Answer:

8i + 4

Step-by-step explanation:

Add/subtract like terms:

7 - 3

= 4

-4i - (-12i)

-4i + 12i

= 8i

Add these together:

8i + 4

So, the simplified expression is 8i + 4

4 0
3 years ago
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