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3 years ago

AYE HELP ASAP PLZ!!!!!

Mathematics

2 answers:

Aleks [24]3 years ago

8 0

It's the first one you can just add or multiply the expressions to get the answer

Natasha2012 [34]3 years ago

8 0

Answer:

The answer is a

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

3 years ago

An art class consists of 8 boys and 10 girls. The teacher

wolverine [178]

Answer: 14/285

Step-by-step explanation:

B = 10

G = 8

T = 18

So its a 8/20 that 1 is a girl but then 2nd its 7/19 and 3rd 6/18 so

8/20 * 7/19 * 6/18 = 14/285

3 0

3 years ago

How many solutions to the equation

ZanzabumX [31]

-15=-15
Since both sides equal, they are infinitely many solutions
D) infinitely many solutions

5 0

3 years ago

If the average of x, y, and z is 32 and the average of y and z is 27, what is the average of x and 2x?

Orlov [11]

X + y + z = 32 * 3
27 + 27 + x = 96
X = 54
2x = 108
Average of x and 2x = (54+108) / 2 = 164 / 2 = 82
Average of X and 2X = 82

6 0

3 years ago

The formula for the area of a triangle is A-1bh. Solve for b.

Nady [450]

Answer:

Step-by-step explanation:

A = 1/2 b h

A2 = b h

b = <u>2A</u>

5 0

3 years ago

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