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Svetlanka [38]
3 years ago
8

20 POINTS PLEASE HELP

Mathematics
2 answers:
Karolina [17]3 years ago
8 0

Answer:

a) -3

Step-by-step explanation:

Zero of a function is the x-value where y = 0

x² + 2x - 3 = 0

x² + 3x - x - 3 = 0

x(x + 3) - (x + 3) = 0

(x - 1)(x + 3) = 0

x = 1, -3

quester [9]3 years ago
7 0

Answer:

A

Step-by-step explanation:

Essentially, if we plug in any of the given choices into the function and we get 0, then that's our answer.

A) (-3)^2 + 2 * (-3) - 3 = 9 - 6 - 3 = 0  -  correct

B) (-1)^2 + 2 * (-1) - 3 = 1 - 2 - 3 = -4  -  incorrect

C) 0^2 + 2 * 0 - 3 = -3  -  incorrect

D) 2^2 + 2 * 2 - 3 = 4 + 4 - 3 = 5  -  incorrect

So, the answer is A.

The alternative, more "formal" way of doing this problem is to factor the quadratic: x^2 + 2x - 3 = (x + 3)(x - 1) = 0

Then set each of these equal to 0: x + 3 = 0 and x - 1 = 0

We get the values of x = -3 and x = 1. Only -3 is one of the answer choices, so A is correct.

Hope this helps!

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Answer the questions below about Line 1 and Line 2 shown below.
givi [52]
  1. The expression was rewritten using the commutative law of addition.
  2. Line 1 says 3 + 4, which could be represented using dots as ••• + •••• for a total of 7 dots.
  3. Line 2 says 4 + 3, which could be represented using dots as •••• + ••• for a total of 7 dots.

<h3>What is the commutative law of addition?</h3>

The commutative law of addition is also referred to as the law of cumulative addition and it states that if two numbers are added together, then, the outcome is equal to the addition of their interchanged position because addition is considered as a binary operation.

This ultimately implies that, the sum of addends would always be the same (equal) regardless of their arrangement in accordance with the commutative law of addition. Mathematically, the commutative law of addition can be represented using the following formula:

A + B = B + A.

In this context, we can reasonably infer and logically deduce that the given expression was rewritten using the commutative law of addition.

In conclusion, Line 1 says 3 + 4, which could be represented using dots as ••• + •••• for a total of 7 dots. Line 2 says 4 + 3, which could be represented using dots as •••• + ••• for a total of 7 dots.

Read more on commutative law of addition here: brainly.com/question/778086

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