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3 years ago

PLEASE HELP

Mathematics

1 answer:

Nadusha1986 [10]3 years ago

7 0

1, 4, 6 and 7. Mononomials are equations that only have one kind of number or value. Take number 2 for example. If you see b as a banana, and the number 2 as an apple, you can’t add the two together because they just don’t fit as equals. The answer to that equation gives you another polynomial (3b+2). Number 1 on the other hand, they’re both apples. Therefore you can add them together and get a sum of 2 apples (another mononomial)

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The answer to the question

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3 years ago

PLEASE HELP BRAINLY - which option is correct?

LuckyWell [14K]

Answer:

$y > \frac{2x}{3} + 1$

Step-by-step explanation:

Given:

The graph in the attachment where the coordinates are (3,3) and (-3,-1)

Required:

Which inequality represent the graph

The first step is to determine the slope of the graph

$m = \frac{y_2 - y_1}{x_2 - x_1}$

Where m represents the slope, $(x_1, y_1) = (3,3)$ and $(x_2, y_2) = (-3,-1)$

$m = \frac{-1 - 3}{-3 - 3}$

$m = \frac{-4}{-6}$

Simplify to lowest term

$m = \frac{2}{3}$

Next is to determine the equation of the line using the slope formula

$m = \frac{y - y_1}{x - x_1}$ , $(x_1, y_1) = (3,3)$ and $m = \frac{2}{3}$

$\frac{2}{3} = \frac{y - 3}{x - 3}$

Cross multiply

$2 * (x - 3) = 3 * (y - 3)$

Open both brackets

$2 x - 6 = 3y -9$

Collect like terms

$2 x - 6 +9= 3y$

$2 x+3= 3y$

Divide through by 3

$\frac{2x}{3} + \frac{3}{3} = \frac{3y}{3}$

$\frac{2x}{3} + 1 = y$

Reorder

$y = \frac{2x}{3} + 1$

Next is to determine the inequality sign

The dotted lines on the graph shows that the inequality sign is either > or <
Since the shaded region is the upper part of the graph, then the > inequality sign will be considered,

The inequality becomes

$y > \frac{2x}{3} + 1$

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