Which of the following inequalities matches the graph? PLZ HELP DUE TODAY

Mathematics

1 answer:

balandron [24]1 year ago

6 0

Answer:

A. 2x + y < 7

Step-by-step explanation:

the slope is negative and the y-intercept is positive

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Multiply. Express in simplest form. 3/8 x 1/2

CaHeK987 [17]

Answer:

the answer is 3/16.

Step-by-step explanation:

First, let's take a look at the expression itself.

We have to multiply 3/8 and 1/2, which gives us the expression of

3/8*1/2

then, we multiply the numerator by the numerator and get 3, then we multiply the denominator by the other denominator which gets us 16. We put the two parts together and get

3/16

which is not simplifiable. So 3/16 is the simplest answer we can get.

5 0

2 years ago

WHAT IS X³-27 SIMPLIFIED

Eduardwww [97]

Answer:

It is (x - 3)³ - 9x(3 - x)

Step-by-step explanation:

Express 27 in terms of cubes, 27 = 3³:

$= {x}^{3} - {3}^{3}$

From trinomial expansion:

${(x - y)}^{3} = (x - y)(x - y)(x - y) \\$

open first two brackets to get a quadratic equation:

${(x - y)}^{3} = ( {x}^{2} - 2xy + {y}^{2} )(x - y)$

expand further:

${(x - y)}^{3} = {x}^{3} - y {x}^{2} - 2y {x}^{2} + 2x {y}^{2} + x {y}^{2} - {y}^{3} \\ {(x - y)}^{3} = {x}^{3} - {y}^{3} + 3x {y}^{2} - 3y {x}^{2} \\ {(x - y)}^{3} = {x}^{3} - {y}^{3} + 3xy(y - x) \\ \\ { \boxed{( {x}^{3} - {y}^{3} ) = {(x - y)}^{3} - 3xy(y - x)}}$