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natali 33 [55]
3 years ago
7

What is the quotient (2x3 − 3x2 − 14x + 15) ÷ (x − 3)?

Mathematics
2 answers:
Troyanec [42]3 years ago
3 0
2x^2 + 3x - 5

Hope this helps!
sdas [7]3 years ago
3 0

Answer:  The correct option is (a) 2x^2+3x-5.

Step-by-step explanation:  We are given to find the quotient in the following division :

Q=\dfrac{2x^3-3x^2-14x+15}{x-3}.

To find the quotient, first we will try to factorize the numerator and then we will try to divide by the denominator.

We have

Q\\\\\\=\dfrac{2x^3-3x^2-14x+15}{x-3}\\\\\\=\dfrac{2x(x-3)+3x(x-3)-5(x-3)}{x-3}\\\\\\=\dfrac{(x-3)(2x^2+3x-5)}{(x-3)}\\\\=2x^2+3x-5.

Thus, the required coefficient is 2x^2+3x-5.

Option (a) is CORRECT.

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Answer:

59/ 60

Step-by-step explanation:

1.9 can be expressed as 19/10

Thus, our equation becomes

19/10 -11/12.

This becomes (228 -110) / 120

= 118 / 120

Simplify by 2 to get

59/60

4 0
3 years ago
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Use the distributive property to find the product<br> 5/6 x 2 2/5
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2

Step-by-step explanation:

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The difference of the squares of two positive consecutive even integers is 84. Find the integers.
ziro4ka [17]

Answer:

The two integers are 20 and 22.

Step-by-step explanation:

Let x be the first integer.

(x+2)^{2}-x^{2} = 84\\x^{2} +4x+4-x^{2} = 84\\4x = 80\\x = 20

3 0
3 years ago
A bowl contains 4 red marbles and 3 yellow marbles. Tim randomly draws 3 red marbles from the bowl. He replaces each marble afte
mr Goodwill [35]
So,

The probability of drawing a yellow marble is \frac{3}{7}.
Since he replaces the marble after it is drawn out, the probability of drawing another yellow is the same: \frac{3}{7}.

The probability of drawing a red marble is \frac{4}{7}.

In order to get the probability of drawing 2 yellow marbles and 1 red marble, given that each marble is replaced after it is drawn out, we must multiply the fractions together.

( \frac{3}{7} )( \frac{3}{7} )( \frac{4}{7} ) =  \frac{36}{343}

Because the order of the marbles doesn't matter, we will multiply the probability by 3.
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6 0
3 years ago
A line has a slope of 6 and a y-intercept of 5. What is its equation in slope-intercept form?
kvasek [131]

Answer:

The equation in slope-intercept form is y = 6x + 5

Step-by-step explanation:

The slope-intercept form of the linear equation is y = m x + b, where

  • m is the slope
  • b is the y-intercept

Let us solve the question

∵ A line has a slope of 6

∵ m is the slope of the line

∴ m = 6

∵ The line has a y-intercept of 5

∵ b is the y-intercept

∴ b = 5

→ Substitute the values of m and b in the slope-intercept form

∵ y = m x + b

∴ y = 6x + 5

∴ The equation in slope-intercept form is y = 6x + 5

3 0
3 years ago
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