ALSO WORTH 50 POINTS Which graph matches the inequality: 2(4x - 5) < 14x + 8?

Mathematics

1 answer:

ss7ja [257]2 years ago

6 0

Answer:

The correct answer is: C

Step-by-step explanation:

2(4x - 5) < 14x + 8

First multiply 2 by 4x and -5

8x - 10 < 14x + 8

Now find out what x is

Move 14x to the left

8x - 14x - 10 = 8

Then move 10 to the right and change it's sign to plus

8x - 14x = 8 + 10

Now combine like terms

-6x = 18

Now divide 18 by 6 to get x

x = 18/-6

x = -3

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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 $a$ :