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3 years ago

Write a linear function f with the values f(0)=-1 and f(2)=-5

Mathematics

1 answer:

Darya [45]3 years ago

5 0

Answer:

f(x) = - 2x - 1

Step-by-step explanation:

Let the linear function f(x) is given by f(x) = ax + b where a and b are unknown constants.

Given that f(0) = -1 and f(2) = -5

Hence, a(0) + b = - 1, ⇒ b = - 1

Again from the condition given

a(2) + b = -5, ⇒ 2a - 1 = - 5, ⇒ 2a = - 4, ⇒ a = - 2.

Therefore, the linear function is f(x) = - 2x - 1 (Answer)

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A certain company's main source of income is a mobile app. The company's annual profit (in millions of dollars) as a function of

liberstina [14]

Answer:

x = $3, or x = $11

Step-by-step explanation:

The equation given is $P(x)=-2(x-3)(x-11)$

where

P(x) is the profit, and
x is the app price

<u>We want app prices (x's) when profit (P(x)) is 0, so plugging in into the equation:</u>

$P(x)=-2(x-3)(x-11)\\0=-2(x-3)(x-11)\\0=(x-3)(x-11)$

<em>It means (x-3) = 0 OR (x-11) = 0</em>

So, x = 3, or 11

7 0

3 years ago

Read 2 more answers

An aeroplane takes 4 hours to travel a distance of 440 0km. Another aeroplane travels at a speed which is 100km per hour less th

FrozenT [24]

Answer:

7480 hours

Step-by-step explanation:

440 - 100 = 340

LCM of 440 and 340

440 = 2 × 2 × 2 × 5 × 11

340 = 2 × 2 × 5 × 17

LCM = 2 × 2 × 2 × 5 × 11 × 17

LCM = 7480

4 0

3 years ago

A flowchart proof

Whitepunk [10]

Answer: uses a visual representation of the logical flow of steps needed to reach a conclusion.

Step-by-step explanation:

A flowchart proof is a visual representation that is made of boxes with which arrows are used to show the flow of steps which take place. It uses a visual representation of the logical flow of steps needed to reach a conclusion.

The true facts which are the statements, will be placed in the boxes that are drawn. The arrows in flowchart proof shows the progression of statements made.

4 0

3 years ago

At the local grocery store a 16-ounce bottle of apple juice costs $3.20. What is the cost of apple juice per ounce?

kirza4 [7]

Answer: $0.50

Step-by-step explanation:

16 divided by $3.20 is equal to $0.50. Hope this helps :)

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3 years ago

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