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Mathematics

1 answer:

Alona [7]3 years ago

3 0

Answer:

x = -1, x = 1

Step-by-step explanation:

Factor the equation. (It's a difference of squares, so we know the form will be (a-b)(a+b).)

$y = x^{2} - 1\\y = (x-1)(x+1)$

Test this by FOILing it out, if you're unsure. This is something it can be good to memorize!

Set it equal to 0.

$0 = (x+1)(x-1)$

Separate the two parenthetical expressions by the Zero Product Property.

$0 = x+1\\0 = x-1$

Solve for x!

$x=-1, x=1$

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A tree house costs $530. You plan to save $10 each week. Your parents will help pay $80 of the cost. Your savings plan can be mo

ivanzaharov [21]

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3 years ago

Which of the following shows the graph of the eniquality y>x+3<br><br> PLEASE include image

7nadin3 [17]

in plain and short, to graph an inequality, we first graph its EQUALITY graph, and then we do the shading.

so to graph y > x + 3, we first graph y = x + 3, which is just a line, and then do a true/false check on a point to see which side we shade.

let's hmmm check the point say (0,2), x = 0, y = 2.

y > x + 3

2 > 0 + 3

2 > 3 <--- is that true? is 2 really larger than 3? nope, so is false.

that simply means that the point (0, 2) is on the false area, so that's the area we do NOT shade, so <u>we shade the other side</u>.

y > x + 3, means "y" is greater than or larger than that line, but not equals, larger not equal, meaning the values on the borderline are not included, so the line is a dashed line.

check the picture below.