Which graph is correct

Mathematics

1 answer:

Afina-wow [57]3 years ago

7 0

Answer:

Step-by-step explanation:

They already solved your inequality for you.

So we want to graph $a \le -50$ .

The line underneath the inequality tells you are going to have a closed hole at 50 (this means to include).

If there was no line underneath the inequality then you would have an open hole at 50 (this means not to include).

Now let's talk about a being less than -50 that means we shade numbers less than -50 or to the left of -50.

So the answer is B.

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If y is proportional to the sqaure root of x and y equal x when x equal 5,evaluate y when x eqaul 9.

Law Incorporation [45]

Answer:

$y = 3\, \sqrt{5}$ when $x = 9$ .

Step-by-step explanation:

The question states that $y$ is proportional to $\sqrt{x}$ . In other words, there is a constant $a$ ( $a \ne 0$ ) such that $y = a\, \sqrt{x}$ for all $x \ge 0$ .

The question also states that $y = x$ when $x = 5$ . Make use of this equality to find the value of $a$ .

Since $x = 5$ and $y = x$ , it must be true that $y = 5$ . Substitute $x = 5\!$ and $y = 5\!$ into the equation $y = a\, \sqrt{x}$ and solve for $a$ :