3 years ago

If f(2) = 13 and f '(x) ≥ 3 for 2 ≤ x ≤ 4, how small can f(4) possibly be?

Mathematics

1 answer:

aniked [119]3 years ago

8 0

The slope f'(x) = [f(4) - f(2)]/(4-2)≥3,
so [f(4) - 13]/2 ≥3
f(4) -13 ≥ 6
f(4)≥19, so it can be as small as 19.

You might be interested in

You start collecting loose coins in a jar from laundry. You are hoping that the jar has $5. The jar consist of nickles and quart

pav-90 [236]

Answer:

15 quarters and 25 nickles

Step-by-step explanation:

15quarts= $3.75

25 nickles=$1.25

total $5

3 0

3 years ago

Read 2 more answers

Suppose when solving a system of linear equations in two variables, both variables happen to cancel, leaving you with a false st

miss Akunina [59]

Step-by-step explanation:

C. The system of equations is unsolvabl

3 0

3 years ago

Read 2 more answers

What is the formula for a^3-b^3??

grandymaker [24]

Answer:

$\boxed{\mathrm{view \ explanation}}$

Step-by-step explanation:

The difference of two cubes formula is given as:

$a^3-b^3 =(a-b)(a^2 +ab+b^2)$

6 0

3 years ago

Read 2 more answers

Classify each pair of angels listed below as adjacent or vertical.

Stolb23 [73]

Answer:

ntersecting lines DA and CE.

To find:

Each pair of adjacent angles and vertical angles.

Solution:

Adjacent angles are in the same straight line.

Pair of adjacent angles:

(1) ∠EBD and ∠DBC

(2) ∠DBC and ∠CBA

(3) ∠CBA and ∠ABE

(4) ∠ABE and ∠EBD

Vertical angles are opposite angles in the same vertex.

Pair of vertical angles:

(1) ∠EBD and ∠CBA

(2) ∠DBC and ∠EBA

5 0

3 years ago

Which digit is in the trillions place in 12,345,678,900,000

zalisa [80]

Answer:

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers