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4 years ago

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

Mathematics

2 answers:

Troyanec [42]4 years ago

3 0

2x^2 + 3x - 5

Hope this helps!

sdas [7]4 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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Is X-1 a factor of x^5-1?

Musya8 [376]

Answer: No

Explanation:

According to factor theorem, if f(x)=0 then x is a factor of the given function or equation.

As x-1 is a factor

We equate x-1=0

x=1

Substituting in x^5-1, we have 1^5-1 =1-1=0.

Hence, it's a factor.

When coming to x^5+1, it would become 1^5+1=1+1=2

So x-1 isn't a factor of x^5+1.

4 0

2 years ago

Dan weighs 205 pounds but is only 5 feet 8 inches tall. Evan is 6 feet tall. How much would you expect Evan to weigh if they hav

Rina8888 [55]

Answer:

Around 217 pounds

Step-by-step explanation:

Let's convert the height into inches.

5 feet 8 = $5\cdot12 + 8 = 60 + 8 = 68$

6 feet $= 6\cdot12 = 72$ .

We can set up a proportion

$\frac{205}{68} = \frac{x}{72}$

We can use the cross products property to find x.

$205\cdot72=14760\\\\\\14760\div68\approx217$

Hope this helped!

4 0

3 years ago

Read 2 more answers

Math help on questions #4 and #5

Vanyuwa [196]

<h3>Answer:</h3>

4. -3

5. 3

<h3>Step-by-step explanation:</h3>

4. For x > -2, the value of a is the slope of the line. The line goes down 3 units for each 1 to the right, so the slope is -3/1 = -3. Then a = -3.

___

5. The ordered pair (h, k) is typically used to name the point to which a function is translated. The vertex of the function f(x) = |x| is (0, 0). When it is translated to (h, k), the function becomes ...

... q(x) = |x -h| +k

If the new vertex is (3, 0), then h = 3 and k = 0. This is consistent with the equation shown. (k = 0 means q(x) = |x -h|.)

7 0

3 years ago

& Faye borrowed $.9000 at 6% per annum compound

Katarina [22]

Answer:

$540$

Step-by-step explanation:

$9000 \times \frac{6}{100}$

Hope this will help you :))

5 0

3 years ago

Seven less than two times a number is 29.

Alexxx [7]

2x-7=29

"Seven less than" => minus 7.
"Two times <u>a number</u>" => 2x (x is the unknown number)
"is twenty-nine" => =29
Putting it all together,

-7 + 2x = 29
or
2x-7=29
(if you were wondering x is equal to 18)

4 0

3 years ago