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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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The sum of an infinite geometric series is 450, while the common ratio of the series is 4/ 5 . What is the first term of the ser
pogonyaev

Answer:

answer is 90 for first term

Step-by-step explanation:

Let the terms be  

First term x

We will use the formula s∞=x/1−r to find the sum of an infinite geometric series, where −1<r<1.  

We know the sum and the common ratio, so we'll be solving for x where r =4/5

s∞=x/1−r

450=x/1−4/5

450=x/1/5

450=5x

x=90

this is the first term x1 = 90

we know that common ratio is 4/5, so multiplying the first term by factor 4/5 to get the second term  

90 x 4/5=   72 second term  

7 0
3 years ago
Read 2 more answers
At a bake sale, as student spent $11.00 buying 3 brownies and 5 cookies. His friend spent $3.95 buying 1 brownie and 2 cookies.
dybincka [34]

Answer:

$2.25

Step-by-step explanation:

Let "b" be the price of 1 brownie and "c" the price of 1 cookie.

At a bake sale, a student spent $11.00 buying 3 brownies and 5 cookies. Symbolicaly,

3 b + 5 c = 11.00   [1]

His friend spent $3.95 buying 1 brownie and 2 cookies. Symbolicaly,

1 b + 2 c = 3.95

b = 3.95 - 2c   [2]

If we replace [2] in [1], we get

3 (3.95 - 2c) + 5 c = 11.00

11.85 - 6c + 5c = 11.00

c = 0.85

If we replace c = 0.85 in [2], we get

b = 3.95 - 2 (0.85) = 2.25

8 0
3 years ago
Witch of the following is the equal to 4 kilograms
likoan [24]
"the following" of what?  I think you are missing the list
3 0
3 years ago
Read 2 more answers
Is this relation a function <br><br> choose correct answer <br><br><br><br> marking brainlist
Elan Coil [88]
The correct answer is d because every input is supposed to have exactly one output
5 0
2 years ago
21) Answer the question using the information given. Special cube-shaped dice are manufactured having side lengths of in. The di
Elenna [48]

Answer: Hello your question is missing some details but I will provide a general solution based on the scope of the problem and you can plugin the missing value

answer = Volume of rectangular prism box / volume of cube

Step-by-step explanation:

To determine the number of Dice that will fit in the rectangular prism box

First : calculate the volume of the cube box ( dice )

volume of a Cube box : V = L^3       where L = side length  

next : calculate the volume of the rectangular prism box

volume of rectangular prism box = L * b * h

L= length , b = width , h = height

final step : Divide the volume of the rectangular prism box by the volume of the cube box ( dice )

= ( L * b * h ) / ( L^3 )

7 0
3 years ago
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