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Sergio039 [100]
3 years ago
13

Supposef(0) = 2 and 2 ≤ f '(x) ≤ 7for all x in the interval [−5, 5]. determine the greatest and least possible values of f(2).le

ast

Mathematics
1 answer:
IgorC [24]3 years ago
7 0

If the slope of the function is 2, the amount it can change over the interval 0–2 is

... 2×2 = 4 units

If the slope is 7, the amount it can change over the interval 0–2 is

... 2×7 = 14 units


The least possible value of f(2) is 2+4 = 6.

The greatest possible value of f(2) is 2+14 = 16.

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Determine whether the point (4,2) is in the solution set of the system of inequalities below. 4x + y < 2 y > –2
sladkih [1.3K]

Answer:

False

Step-by-step explanation:

4x + y < 2

y > –2

Substitute the point into the inequalities and see if they are true

4(4) + 2 < 2

16+2 < 2

18 <2  False

2 > –2  True

Since one is false the point is not a solution

8 0
2 years ago
Ricardo took the following steps to simplify the expression below but was surprised to hear that his answer was incorrect. Which
Xelga [282]

You have not given us any of the steps that Ricardo took to simplify the
expression, and you also haven't given us the list of choices that includes
the description of his mistake, so you're batting O for two so far. 
Other than those minor details, the question is intriguing, and it certainly
draws me in.

If Ricardo made a mistake in simplifying that expression, I'm going to say that
it was most likely in the process of removing the parentheses in the middle. 

Now you understand that this is all guess-work, because of all the stuff that you
left out when you copied the question, but I think he probably forgot that the  3x 
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He probably wrote that  3x (x-3)  is

either    3x² - 3
     or       x - 9x .

In reality, when properly simplified,

       3x (x - 3)  =  3x² - 9x .


3 0
2 years ago
The population of a town is 20,000 and is decreasing at a rate of 5% per year. What is the population after 23 years?
AVprozaik [17]
I believe the answer should be approximately 6,147 because you would plug into the equation y=20,000(.95)^t, where t=23.
6 0
3 years ago
The area of a rectangle is 4.9 square units. The length is 2.5 units and the width is y units. What is the value of y?
iris [78.8K]
1.96, if you multiply that by the length, (which is 2.5) then you will get the area of 4.9 hope this helps
4 0
2 years ago
Read 2 more answers
50 POINTS AND I WILL MARK BRAINLIEST Find the volume please help
ANEK [815]

Answer:348

Step-by-step explanation:

For composite prisms, where the bases are a composite shape, the area of the bases is the sum of the areas of the parts it is made of. The volume of the composite prism is then given by multiplying the whole base area by the height of the prism.In math, volume is the amount of space in a certain 3D object. For instance, a fish tank has 3 feet in length, 1 foot in width and two feet in height. To find the volume, you multiply length times width times height, which is 3x1x2, which equals six. So the volume of the fish tank is 6 cubic feet.

8 0
3 years ago
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