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Llana [10]
3 years ago
6

A plane travels 2,000 kilometers at a a speed of 900 kilometers per hour (kph) with no wind. When a tailwind is present, the pla

ne’s speed increases by x kilometers per hour. The time it takes the plane to travel the same distance with the tailwind, t(x), is defined by the function t(x)= 2,000/900+x. What is the meaning of the y-intercept for this function?
Mathematics
2 answers:
ch4aika [34]3 years ago
3 0

Answer:

The meaning of the y-intercept is the time needed for the plane to cover 2,000 kilometers at a a speed of 900 kilometers per hour (kph) with no wind.

Step-by-step explanation:

The time it takes the plane to travel 2,000 kilometers with the tailwind, t(x), is defined by the function

t(x)=\dfrac{2,000}{900}+x,

where x is the increase in speed when the plane travels with the wind (tailwind).

The y-intercept is at x = 0, then

t(0)=\dfrac{2,000}{900}+x\\ \\t(0)=\dfrac{20}{9}=2 \dfrac{2}{9}\ hours

The meaning of 2 \dfrac{2}{9} hours is the time needed for the plane to cover 2,000 kilometers at a a speed of 900 kilometers per hour (kph) with no wind.

Reil [10]3 years ago
3 0

Answer:

i think it is a in edge

Step-by-step explanation:

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Using Substitution Method:

-4x+7y=-5   (Equation 1)

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get the value of x from Equation 2

x=3y-5     (Equation 3)  

Put the value of x from Equation 3 in Equation 1

-4(3y-5)+7y=-5

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Negative sign on both sides cancels each other

y=25/5

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Putting value of y in equation 3

x=3(5)-5

x=15-5

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Therefore,   [x,y]=[10,5]

Using Elimination Method

-4x+7y=-5   (Equation 1)

x-3y=-5       (Equation 2)

Multiply equation 2 with -4 in order to eliminate the x term

-4(x-3y)=-5*4

-4x+12y=20     (Equation 3)

Adding Equation 1 and 3

-4x+7y=-5    

-4x+12y=20    

+    -     = -   (Change Of Sign with x and y terms)

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0x-5y = -25

-5y=-25

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Cancellation of negative sign on both sides

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Equating RS and QS, we will find the value of X

RS = QS 
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RQ = 19 x 2 = 19 + 19 = 38 (D)
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