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3 years ago

8

Mathematics

1 answer:

blagie [28]3 years ago

3 0

Answer:

The new function is g(x) = x² +1

Step-by-step explanation:

Explanation:-

Given that the function f(x) = x²

From graph ,

The parabola y = x² is shifting to up with '1' units

y = x² +1

The new function is g(x) = x² +1

Verification:-

y = x²+1

Put x=0 ⇒ y =1

The point (0,1) lies on the parabola y = x²+1

similarly put x =1 and y = 2

The Point (1,2) lies on the Parabola y = x²+1

∴ The new graph y = x²+1

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A trip to another city is 180 miles. In miles per hour to the nearest tenth, how fast does one have to drive to average 60 mph o

irakobra [83]

Answer:

63.5

Step-by-step explanation:

If one didn't take a 10 minute break he could drive 60 mph totalling 180 minutes but since he did and 180 - 10 = 170. He/she has to drive 180 miles in 170 min. so we take so we divde 180/170 and multiply by 60. If you round it to the nearest tenth you get 63.5

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3 years ago

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Fantom [35]

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3 years ago

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Irina-Kira [14]

Answer:

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Step-by-step explanation:

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2 years ago

What transformations produce the graph of g(x)=- | 3x | from the graph of the parent function f(x)=|x| Select all that apply

pychu [463]

Answer:

This is a compression by a factor of 3 in the x direction

(horizontal compression by factor of 3)

This reflects it about the x axis

Step-by-step explanation:

f(x)=|x|

h(x) = |3x|

This is a compression by a factor of 3 in the x direction

g(x) =-|3x|

This reflects it about the x axis

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2 years ago

If a coin is thrown with a starting velocity of 0 m/s down a dry well and hits bottom in 1.2 s, what's the depth of the well? Wi

BigorU [14]

Answer:

Depth = 7.06 m

Velocity = 11.77 ms-1

Step-by-step explanation:

We use the equation of motion:-

s = ut + 1/2 g $t^{2}$ where s = distance fallen , t = time , u = initial velocity and g = 9.81 ms^-2 , the acceleration due to gravity.

So s = 0(t) + 1/2 * 9.81 (1.2)^2

= 7.06 m to nearest tenth.

We use another equation of motion to find the final velocity:-

v^2 = u^2 + 2gs where v = final velocity

v^2 = 0 + 2*9.81 * 7.06

= 138.52

v = √138.52 = 11.77 m s-1

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2 years ago