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3 years ago

How do you answer this question

Mathematics

2 answers:

GaryK [48]3 years ago

6 0

Answer:

9x^2 -4

Step-by-step explanation:

(3x+2) (3x-2)

FOIL

first: 3x*3x = 9x^2

outer: 3x*-2 = -6x

inner: 3x*2 = 6x

last: -2*2 = -4

Add together

9x^2 -6x+6x -4

9x^2 -4

balu736 [363]3 years ago

5 0

Answer:

B) 9x^2 - 4

Step-by-step explanation:

Use FOIL (first, outer, inner, last)

First: (3x) * (3x) = 9x^2

Outer: (3x) * (-2) = -6x

Inner: (2) * (3x) = 6x

Last: (2) * (-2) = -4

When you add up the terms, you get:

9x^2 + - 6x + 6x + -4

Simplify this to get:

9x^2 - 4

An easier way is to recognize that this is a difference of perfect squares question because the format is (ax + b) (ax - b).

(ax + b) (ax - b) always equals (ax)^2 - b^2, so:

(3x + 2) (3x - 2) = (3x)^2 - (2)^2 = 9x^2 - 4

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3 years ago

The numbers 7, 11, 12, 13, 14, 18, 21, 23, 27, and 29 are written on separate cards, and the cards are placed on a table with th

SCORPION-xisa [38]

The probability of picking a card with an even number is $\frac{3}{10}$ .

<h3>What is probability?</h3>

Probability is an area of mathematics that deals with numerical descriptions of how probable an event is to occur or how likely a statement is to be true.
The probability of an event is a number between 0 and 1, where 0 denotes the event's impossibility and 1 represents certainty.

To find the probability of picking a card with an even number:

There are 10 cards on which numbers are written 7, 11, 12, 13, 14, 18, 21, 23, 27, and 29.
These cards are placed on a table with the numbers facing down.
To find the probability of picking a card with an even number, first, we count all the even numbers written on the cards.
12, 14, and 18 out of 10 cards there are 3 even numbers written on the cards.
So, the probability of picking a card with an even number is $\frac{3}{10}$ .

Therefore, the probability of picking a card with an even number is $\frac{3}{10}$ .

Know more about probability here:

brainly.com/question/24756209

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COMPLETE QUESTION:

The numbers 7, 11, 12, 13, 14, 18, 21, 23, 27, and 29 are written on separate cards, and the cards are placed on a table with the numbers facing down. The probability of picking a card with an even number is _____.

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2 years ago

I WILL GIVE BRAINLIEST

vovikov84 [41]

Answer:

y = -5x - 3

Step-by-step explanation:

To answer this the slope must be clculated first

slope equation:

$\frac{y2-y1}{x2-x1}$

these variables symbolize ordered pairs, and the best part is that you can use any two ordered pairs for this example we can use (-5, 10) and (-3,0)

we'll call the first ordered pair 1 so x1 = -5 and y1 = 10.

the next odered pair is 2 so x2 = -3 and y2 = 0.

With this information layed out we can solve:

$\frac{0-10}{-3-(-5)}$

0 - 10 = -10

-3 - (-5) = 2 --- remember negatives cancel each other out to make a positive

$\frac{-10}{2}$ = -5

the slope of the line is -5. Now the next thing to note is that one of the ordered pair (-3,0) is a y intercept. It's time to introduce the equatione of a line:

y = mx+b

There are other equations that can be used for a line but with the info given this equation best suits the data.

m = slope

y and x = are the ordered pair you can input into the equation to slove

b = the y intercept

So the equation would be:

y = -5x - 3

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2 years ago

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Factor the expression over the complex numbers. x^2+18

umka2103 [35]