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3 years ago

If the graph of f(x) = 5x is shifted 8 units to the left, then what would be the equation of the new graph?

Mathematics

1 answer:

Vika [28.1K]3 years ago

4 0

The equation of the new graph would be f(x+8) = 5x + 8

<u>Explanation:</u>

Given:

f(x) = 5x

Graph is shifted 8 units to the left

Points on the graph of y = f ( x ) are of the form ( x , f ( x ) )

To shift a function left, add inside the function's argument: f (x + b) gives f (x)shifted b units to the left.

Thus,

f(x+8) = 5x + 8

The equation of the new graph would be f(x+8) = 5x + 8

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A boat travels 12 km upstream and back in 1 hour 45 minutes. If the speed of the current is 3 km/h throughout, find the speed of

Elza [17]

Answer:

14.3 km/h to 3 significant figures

Step-by-step explanation:

Let time travelling upstream be t1 hours and downstream = t2 hours.

t1 + t2 = 1.75..........................(1)

Let v be the speed of the boat in still water.

12 / t1 = v - 3.........................(2)

12 / t2 = v + 3........................(3)

From (1) and (3) , substituting for t2:-

12 / (1.75 - t1) = v + 3 ..................(4)

Subtract:- (2) - (4):-

12 / t1 - 12 / (1.75 - t1) = -6

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6t1^2 + 13.5t1 - 21 = 0

Solving this gives t1 = 1.058 hours

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3 0

3 years ago

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natita [175]

Answer:

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Step-by-step explanation:

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2 years ago

The marching band sold gift wrap priced at $4.00 per roll for solid colors and $6.00 per roll for print patterns. If they sold 4

Alex Ar [27]

Answer:

The number of gift wrap rolls for solid colors sold was 270 and the number of gift wrap rolls for sprint patterns sold was 210

Step-by-step explanation:

Let

x ---> the number of gift wrap rolls for solid colors sold

y ---> the number of gift wrap rolls for sprint patterns sold

we know that

$x+y=480$ ----> $x=480-y$ ----> equation A

$4x+6y=2,340$ ----> equation B

Solve the system by substitution

substitute equation A in equation B

$4(480-y)+6y=2,340$

solve for y

$1,920-4y+6y=2,340$

$-4y+6y=2,340-1,920$

$2y=420$

$y=210$

<em>Find the value of x</em>

$x=480-y$ ----> $x=480-210=270$

therefore

The number of gift wrap rolls for solid colors sold was 270 and the number of gift wrap rolls for sprint patterns sold was 210

8 0

3 years ago

What is the surface area of a cone with a radius of 15 and a height of 8

Rasek [7]

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