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3 years ago

Item 9 Write a linear function f with f(4)=−3 and f(0)=−2

Mathematics

1 answer:

Alina [70]3 years ago

3 0

Answer:

y = -x/4 -2

Step-by-step explanation:

Linear function is in the form;

y = mx + b

The first point is (4,-3)

so we have;

-3 = 4x + b

The second point is (0,-2)

Thus;

-2 = 0(x) + b

b = -2

Put this in the equation above

-3 = 4x -2

-3 + 2 = 4x

4x = -1

x = -1/4

So the equation is;

y = -x/4 -2

You might be interested in

If a plane can travel 490 miles per hour with the wind and 430 miles per hour against the wind, find the speed of the wind and

zavuch27 [327]

let the speed of plane in still air be x and that wind be y

therefore:

x+y=490

x-y=390

next we solve for the values of x and y, first we add the above equations. This will give us:

2x=880

x=880/2

x=440 miles per hour.

substituting the value of x in one of the equations and solving for y we get:

440+y=490

y=490-440

y=50 miles per hour

7 0

4 years ago

Marshall drove to work in rush hour traffic, going just 27 miles in 1 hour and 20 minutes. Later that day, he left work early to

iragen [17]

Answer:

The average speed of Marshall is 29.7 mph

Step-by-step explanation:

Given;

distance traveled to work, d₁ = 27 miles

distance traveled back home, d₂ = 27 miles

initial time taken, t₁ = 1 hour and 20 minutes

final time taken, t₂ = 29 minutes

Total distance traveled, d = d₁ + d₂ = 27 miles + 27 miles = 54 miles

Total time taken for the journey, t = t₁ + t₂ = 1 hour + ( 20 mins + 29 mins)

t = 1 hour + 49 mins = 1 hour + 0.817 hour = 1.817 hour

The average speed is given by;

v = total distance / total time

v = 54 miles / 1.817 hour

v = 29.7 mph

Therefore, the average speed of Marshall is 29.7 mph

8 0

3 years ago

Y=f(x)=(1/3)^x find f(x) when x=1

stellarik [79]

when x = 1, f(1) = 1/3

Answer

1/3 or 0.3333 (3 is repeating)

8 0

4 years ago

Nancy plans to deposit $1,000 quarterly for 35 years at 8.25% Interest, compounded monthly. How much will she

melomori [17]

Answer:

$17,771.92

Step-by-step explanation:

A = P (1 + r/n)^nt

A = Future value (the answer you're trying to find)

P = Initial deposit ($1000)

R = Interest rate (8.25%; this will be represented as a decimal in the equation (.0825))

N = # of times interest is compounded per unit t (12)

T = Time (35)

35 * 12 = 420

1000 (1 + .0825/12)^420

1000(1.006875)^420

1000*17.77191635

A = $17,771.92 (rounded to the nearest hundredths)

4 0

3 years ago

Anne is currently h years old. bill is currently 2h years old and Charles is currently eight years old. find an expression for e

Margarita [4]

Ann's age after h years is 2h

Bill's age after h years is 3h

Charles' age after h years is 8 + h

The sum of their ages after h years is 6h + 8

Step-by-step explanation:

The given is:

Anne is currently h years old

Bill is currently 2h years old

Charles is currently eight years old

We need to find an expression for each person’s age after h years and then find an expression for the sum of their ages after h years

∵ Ann is h years old now

∵ Her age after h years = her age now + h

∴ Her age after h years = h + h

∴ Her age after h years = 2h

Ann's age after h years is 2h

∵ Bill is 2h years old now

∵ His age after h years = his age now + h

∴ His age after h years = 2h + h

∴ His age after h years = 3h

Bill's age after h years is 3h

∵ Charles is 8 years old now

∵ His age after h years = his age now + h

∴ His age after h years = 8 + h

Charles' age after h years is 8 + h

Add their ages after h years

∵ The sum of their ages after 8 years = 2h + 3h + 8 + h

- Add like terms

∴ The sum of their ages after 8 years = (2h + 3h + h ) + 8

∴ The sum of their ages after 8 years = 6h + b

The sum of their ages after h years is 6h + 8

Learn more:

You can learn more about word problems in brainly.com/question/10557938

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7 0

3 years ago