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3 years ago

Which of the following expression is equivalent to 6x2−13x−28

Mathematics

1 answer:

SSSSS [86.1K]3 years ago

5 0

Answer:

I, III and IV

Step-by-step explanation:

Required

Determine equivalent expressions to $6x^2 - 13x - 28$

To do this, we simplify each of the given options.

$I.\ 6x2+8x-21x-28$

Simplify like terms

$6x2+8x-21x-28$

$= 6x2-13x-28$

This is equivalent to the given expression

$II.\ 2x(3x + 4) + 7x(3x - 4)$

Open Bracket

$2x(3x + 4) + 7x(3x - 4)$

$2x*3x + 2x*4 + 7x*3x - 7x*4$

$6x^2 + 8x - 21x^2 - 28x$

Collect Like Terms

$6x^2 - 21x^2 + 8x - 28x$

$-15x^2 - 20x$

This is not equivalent to the given expression

$III.\ 2x(3x+4)-7(3x+4)$

Open Bracket

$2x(3x+4)-7(3x+4)$

$2x*3x + 2x*4 - 7*3x - 7*4$

$6x^2 + 8x - 21x - 28$

Simplify Like Terms

$6x^2 -13x - 28$

This is equivalent to the given expression

$IV.\ (3x + 4)(2x-7)$

Open Brackets

$3x * 2x - 3x * 7 + 4*2x-4*7$

$6x^2 - 21x+ 8x-21$

Simplify like terms

$6x^2 -13x-21$

This is equivalent to the given expression

Hence: I, III and IV are equivalent to the given expression

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ruslelena [56]

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3 years ago

A group of 5 families at Baileys Middle School sold magazine subscriptions to raise money for the school. $6.00, $7.00, $4.00,

mash [69]

Answer:

The median amount of money raised is $5.00

Step-by-step explanation:

To find the median amount of money raised, we will follow the steps below:

First, arrange the data giving in ascending order. That is

$6.00, $7.00, $4.00, $5.00, $3.00

We will arrange it in ascending order, hence

$3.00, $4.00, $5.00, $6.00, $7.00

The median is the middle number, we will now proceed to take the middle number.

The middle number is $5.00

Therefore, the median amount of money raised is $5.00

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3 years ago

What does the main denominator mean?

Assoli18 [71]

Answer: the denominator represents the number of equal parts in a whole, and the numerator represents how many parts are being considered.

Step-by-step explanation:

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3 years ago

Read 2 more answers

PLEASE HELP ITS A TEST!!

Gnoma [55]

Answer:

Step-by-step explanation:

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3 years ago

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riley makes a mistake in step 2 while doing her homework. What was her mistake? StartFraction x Over x squared minus 5 x + 6 End

exis [7]

The mathematical mistake that Riley made is that: "She used the wrong common denominator." (Option A)

<h3>What is a Common Denominator?</h3>

A common denominator is a factor that is similar to all the fractions in the sequence of equations.

Hence the correct answer is:

(2(2x² - 6x + 9))/((x-3) (x-2) (x+3))

See the correct sequence of steps below:

Step One - the Expression is given as:

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

Step 2 - Find the common denominator and rewrite the expression so that the numerators are above the common denominators.

Hence we have: (x (x+3) + 3(x-3) (x-2))/(x-3)(x-2)(x+3)

Step 3 Apply the Law of Multiplicative Distribution:

Hence we have (x² +3x+3x²-9x-6x+16)/(x-3)(x-2)(x+3)

Step 4 - Collect Like Items

This gives us: (x²+3x²)+(3x-9x-6x)+18/(x-3)(x-2)(x+3)

Step 5 Sort for like coefficients

This gives us: ((1+3)x² +(3-9-6) * x + 18)/(x-3)(x-2)(x+3)

Step 6 - check for the sum or difference

This gives us: (4x²+(3-9-6) * x+ 18)/(x-3)(x-2)(x+3)

We simplify and factor the expression to get

(2(2x²-6x+6)/(x-3)(x-2)(x+3).

Learn more about Common Denominators at:

brainly.com/question/542317

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2 years ago