3 years ago

Suppose y varies directly with x. Write an equation relating x and y.

Mathematics

1 answer:

jolli1 [7]3 years ago

4 0

9514 1404 393

Answer:

a. y = -5x

Step-by-step explanation:

The different signs of x and y tell you the constant of proportionality will be negative (eliminating choices b and d).

A quick trial of the given values shows that choice c is incorrect, and that choice a is correct.

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3 years ago

An object has a constant acceleration of 30 ft/sec2, an initial velocity of -10 ft/sec, and an initial position of 4 ft. Find th

Pavel [41]

Let $a(t),v(t),s(t)$ be the acceleration, velocity, and position functions, respectively. Then

$v(t)=s'(t)$
$a(t)=v'(t)=s''(t)$

Since the acceleration is a constant 30 ft/s^2, you have

$a(t)=s''(t)=30$
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You're told that the initial velocity is $v(0)=-10$ , so you get

$-10=30(0)+C_1\implies C_1=-10$

Now $s'(t)=30t-10$ . Integrating once more, you find

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4 years ago