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3 years ago

Divide: (-4x^3+35x+25)÷(-2x-5)

Mathematics

2 answers:

aleksklad [387]3 years ago

6 0

Okay. After some work here is the answer I got.

Hoped I Helped. Have A Wonderful Day. :)

Mamont248 [21]3 years ago

4 0

Answer: The required answer is $2x^2-5x-5.$

Step-by-step explanation: We are given to divide the following algebraic fraction :

$F=\dfrac{-4x^3+35x+25}{-2x-5}.$

We will try to write the cubic numerator as a product of a linear factor (denominator) and a quadratic factor.

The simplification is as follows :

$F\\\\=\dfrac{-4x^3+35x+25}{-2x-5}\\\\\\=\dfrac{-(4x^3-35x-25)}{-(2x+5)}\\\\\\=\dfrac{4x^3-35x-25}{2x+5}\\\\\\=\dfrac{2x^2(2x+5)-5x(2x+5)-5(2x+5)}{2x+5}\\\\\\=\dfrac{(2x+5)(2x^2-5x-5)}{(2x+5)}\\\\=2x^2-5x-5.$

Thus, the required answer is $2x^2-5x-5.$

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The ratio of the side length of Square P to the side length of Square Q is 2:7. If the side length of Square P is 3.5 inches, wh

Igoryamba

Answer:

Perimeter of Square Q = 49

Step-by-step explanation:

given:

sides P:Q = 2:7

side length of P = 3.5.

First, determine length of side Q by using the ratio

$\frac{2}{7}=\frac{3.5}{side Q}\\side Q = \frac{7*3.5}{2}$

The perimeter is 4 times the length of the side

So, Perimeter of square Q = 4 *(7*3.5)/2 = 49

3 0

3 years ago

2(3x-5) equal or less than to 14

AnnZ [28]

Answer:

Step-by-step explanation:

Less than

8 0

3 years ago

Can someone please help me factor 6x^2 - 9x+42

frutty [35]

Answer:

3(2x^2-3x+14)

Step-by-step explanation:

6x^2-9x+42

All three terms have a common factor of 3

3(2x^2-3x+14)

Now let's focus on 2x^2-3x+14 and bring down the factor 3 later

so a=2

b=-3

c=14

Let's try to find two factors for ac that multiply to be a*c and add up to be b.

ac=28

b=-3

-----

ac=7(4)=14(2)=8(2)

Even if I made these pairs with both negatives nothing would give me -3

So you can only go as far as 3(2x^2-3x+14)

Here is another thing to help you if you have ax^2+bx+c and b^2-4ac<0 then it can't be factored (over reals)

6 0

3 years ago

Read 2 more answers

Help me plz someoneee

Charra [1.4K]

Answer:

Step-by-step explanation:

5 0

2 years ago

sophia borrowed $12,109 at 4.5% simple interest for 6 months. How much will the interest amount to? What is the total amount tha

Yuri [45]

The applicable formula is
I = Prt
where P = the principal value (12109), r is the interest rate (0.045), and t is the time period in years (1/2)

a) Substituting the given values, the interest amount is computed as
I = ($12,109)(.0.45)(1/2)
I = $272.45

b) The amount Sophia will have to pay back is the sum of the principal amount and the interest owed.
$12,109 + 272.45 = $12,381.45

5 0

3 years ago