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3 years ago

Please help!! I will give you brainlist if right.

Mathematics

1 answer:

charle [14.2K]3 years ago

3 0

Answer:

The mean is you add all the numbers together together then divide the answer b how many numbers there are.

Step-by-step explanation:

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Two sets of equatic expressions are shown below in various forms: Line 1: x2 + 3x + 2 (x + 1)(x + 2) (x + 1.5)2 − 0.25 Line 2: x

kherson [118]

Answer: The correct line is

$\textup{Line 1 :}x^2+3x+2=(x+1)(x+2)=(x+1.5)^2-0.25.$

Step-by-step explanation: We are given the following two sets of quadratic expressions in various forms:

$\textup{Line 1: }x^2+3x+2=(x+1)(x+2)=(x+1.5)^2-0.25,\\\\\textup{Line 2 :}x^2+5x+6=(x+2)(x+3)=(x+2.5)^2+6.25.$

We are to select one of the lines from above that represent three equivalent expressions.

We can see that there are three different forms of a quadratic expression in each of the lines:

First one is the simplified form, second is the factorised form and third one is the vertex form.

So, to check which line is correct, we need to calculate the factorised form and the vertex form from the simplified form.

We have

$\textup{Line 1: }\\\\x^2+3x+2\\\\=x^2+2x+x+2\\\\=x(x+2)+1(x+2)\\\\=(x+1)(x+2),$

and

$x^2+3x+2\\\\=x^2+2\times x\times 1.5+(1.5)^2-(1.5)^2+2\\\\=(x+1.5)^2-2.25+2\\\\=(x+1.5)^2-0.25.$

So,

$\textup{Line 1 :}x^2+3x+2=(x+1)(x+2)=(x+1.5)^2-0.25.$

Thus, Line 1 contains three equivalent expressions.

Now,

$\textup{Line 2: }\\\\x^2+5x+6\\\\=x^2+3x+2x+6\\\\=x(x+3)+2(x+3)\\\\=(x+2)(x+3),$

and

$x^2+5x+6\\\\=x^2+2\times x\times 2.5+(2.5)^2-(2.5)^2+6\\\\=(x+2.5)^2-6.25+6\\\\=(x+2.5)^2-0.25\neq (x+2.5)^2+6.25.$

So,

$\textup{Line 2 :}x^2+3x+2=(x+1)(x+2)=(x+1.5)^2+6.25.$

Thus, Line 2 does not contain three equivalent expressions.

Hence, Line 1 is correct.

7 0

4 years ago

Evaluate the expression when y = 3 <br> B.) 12y

Archy [21]

12y = 12*3 = 36 ← answer

3 0

4 years ago

Which represents the solution set of the inequality 15y-9<36?

hram777 [196]

1) Add 9 to both sides
2) You get 15y<45
3) Divide by 15 on both sides
4) You get y<15

Remember that < is less than and > is greater than
Also note that when you divide by a negative number, you need to flip the inequality symbol.

4 0

3 years ago

If david must score 90 percent on his test in order to a if he scored a 89,90,98,86 what is the score on his fifth test

Readme [11.4K]

David's score on his fifth test would be an 87. If you add up all the scores from his first to his fourth test, it would 363. However, since there are five tests, in order to get a 90 percent, the sum of all five test scores would be 450. 450 - 363 = 87.

7 0

3 years ago

Which number line represents the expression 7 + (−3) + (−2) +4?

vekshin1

The <u>answer would be 6</u>. The number line which shows you the number 6 or any solution for 6 would be your answer.

3 0

3 years ago