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3 years ago

If g(x)=1-3/4x find the values of g(0), and -5·g(4)-1

Mathematics

1 answer:

andriy [413]3 years ago

4 0

Step-by-step explanation:

g(0)= 1

g(5)= 1-3/20 = 17/20

-5.g(4)-1 =-5. (13/16) -1 = -65/16 -1= (-65-16)/16= -81/16

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A man is in a boat 2 miles from the nearest point on the coast. He is to go to point Q, located 3 miles down the coast and 1 mil

mafiozo [28]

Answer:

The answer is "0.45385".

Step-by-step explanation:

The time is taken to reach the coast $= \frac{\sqrt{(2^2 + x^2)}}{4}$

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Total time, $T= \frac{\sqrt{(1 + (3-x)^2)}}{4}+ \frac{\sqrt{(1 + (3-x)^2)}}{4}$

This has to be minimum,

$\to \frac{dt}{dx} = 0$

$\to \frac{\sqrt{(2^2 + x^2)}}{2} + \frac{\sqrt{1 + (3-x)^2}}{3}\\\\ \frac{x}{4}\sqrt{(4+x^2)} + \frac{(x-3)}{(4\sqrt{(x^2-6x+10)}} = 0\\\\\frac{x^2}{16} \times (4+x^2) = \frac{(x-3)^2}{16 \times (x^2-6x+10)}\\\\x^2(4+x^2) = \frac{(x-3)^2}{(x^2-6x+10)}\\\\4x^2+x^4 = \frac{ x^2+9-6x}{(x^2-6x+10)}\\\\ 4x^2+x^4(x^2-6x+10) = x^2+9-6x\\\\4x^4-24x^3+40x^2+x^6-6x^5+10x^4= x^2+9-6x\\\\x^6-6x^5+ 14x^4-24x^3+39x^2+6x-9=0\\\\$

x=0.45385

6 0

3 years ago

the volume of pyramid a is the volume of pyramid b. if the heigh of pyramid b increases to twice that of pyramid a the new volum

Radda [10]

Answer:

12.259-12.25 890654321

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3 years ago

How does writing an equation to represent a real world situation

Pachacha [2.7K]

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3 years ago

the bottom of a ladder must be placed 7 ft from a wall the ladder 19 feet how far above the ground dose ladder touch the wall

Natali5045456 [20]

Answer:

Distance between bottom of the wall and bottom of the ladder = 7 ft

Length of the ladder = 19 ft

Let the distance between the ground and top of the ladder be x

Using Pythagoras theorem,

x^2 + 7^2 = 19^2

x^2 + 49 = 361

x^2 = 312

Therefore x = √312 = 2√78 ft

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3 years ago

Y varies inversely with x and directly with square root of z.

quester [9]

Answer: Y = k√z

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Step-by-step explanation:

First statement

Y <> 1/x ----------------------- 1

Second statement

Y <> √z ----------------------- 2

Combine equation 1 & 2

Y <> √z/x -------------------- 3

Y = k√z

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8 0

4 years ago