HELPPPPPPPPPPPPPPPPPPP!!!!

Find the error in the following sample of work, if one exists.

ch4aika [34]

Answer:

D. There is no mistake.

Step-by-step explanation:

The following lines show the process of factorization by using common factor.

Line 1:

In line 1, the equation is given and is completely fine.

$y^{2}+8xy+2y+16x=0$

The only thing missing was equate to zero, but the options below talk about correct factors only, therefore this can't be considered as a mistake and can be ignored completely.

Line 2:

In line 2, the terms are grouped, from which we can factor out common terms.

$(y^{2}+8xy)+(2y+16x)=0$

This is also fine.

Line 3:

In line 3, the common term y is taken out from group 1 and 2 from other group.

$y(y+8x)+2(y+8x)=0$

which is exactly what is given in line 3.

Line 4:

In line 4 the common factors can be seen and easily split into 2 factors.

$(y+2)(y+8x)=0$

which is exactly what is given in line 4.

Options:

A. The grouping is correct in line 2. So this option is does not hold.

B. Common factor was factored correctly from group 1. So this option does not hold.

C. Common factor was factored correctly from group 2. So this option does not hold.

D. There is no mistake. This is correct. Thus we choose this option as correct answer.

3 0

3 years ago

While shopping for clothes, Curtis spent $33 less than 3 times what Jaclyn spent.Curtis spent $12.Write and solve an equation to

Tema [17]

Answer:

12 x 3 = 36 + 33

Step-by-step explanation:

sorry if it's wrong but the answer to the equation i put out would be 69

7 0

3 years ago

Megan’s car averaged 336 miles on 12 gallons of gas. How many gallons of gas did Megan use to drive 1,344 miles on vacation? a.

aalyn [17]

Okay, so first divide 336 / 12 to find out how many miles are driven on each gallon. 336 / 12 = 28 So the car travels 28 miles per gallon (mpg).

Then, divide 1,344 / 28 1,344 / 28 = 48

And there's your answer! D) 48 gallons

5 0

3 years ago

Simplify expression X^2+x-2/x^3-x^2+2x-2

professor190 [17]

Answer:

$=\frac {x+2}{x^2+2}$ is the simplest form of given expression.

Step-by-step explanation:

The given question is $\frac{x^2+x-2}{x^3-x^2+2x-2}$

To solve the problem we have to group or split middle term and then factorise

$\frac{x^2+(2x-x)-2}{(x^3-x^2)+(2x-2)}$

Taking $x^2$ common from first two terms of denominator and 2 from next two terms

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

Now,taking x common from first two terms of numerator and -1 from next two terms and in denominator taking(x-1) common from both terms

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

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

Now cancel out x-1 from both numerator and denominator we get

$=\frac {x+2}{x^2+2}$ is the required simplest form.

7 0

3 years ago

Find the distance between the two points in simplest radical form. (-5,0) and (-9,9)

Degger [83]

Answer:

√97 units

Step-by-step explanation:

the distance between the two points in (-5,0) and (-9,9) is √97 units.

3 0

2 years ago

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