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3 years ago

What is the quotient (x3 + 6x2 + 11x + 6) ÷ (x2 + 4x + 3)? x + 2 x – 2 x + 10 x + 6

2 answers:

5 0

If you would like to solve (x^3 + 6x^2 + 11x + 6) / (x^2 + 4x + 3), you can do this using the following steps:

(x^3 + 6x^2 + 11x + 6) / (x^2 + 4x + 3<span>) = ((x + 1) * (x + 2) * (x + 3)) / ((x + 1) * (x + 3)) = x + 2
</span>
The correct result would be x + 2.

ratelena [41]3 years ago

4 0

Hello,

Answer A

x²+4x+3=(x+3)(x+1)

x^3+6x²+11x+6=(x+1)(x²+5x+6)

x²+5x+6=(x+2)(x+3)

so

x^3+6x²+11x+6=(x+1)(x+2)(x+3) (Horner's method)

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A triangle with the sides 6,8 and 10 . what kind of triangle is it ?

Taya2010 [7]

It would be right-angled Triangle.

You can check for that, by putting the values into Pythagoras Theorem:
H² = P² + B²
10² = 8² + 6²
100 = 64 + 36
100 = 100
L.H.S = R.H.S

As it obeys Pythagoras theorem, It would be a right-angled triangle only, with two small arms (Base & Perpendicular) and a long arm, opposite to perpendicular (Hypotenuse)!!!

Hope it helped.

6 0

2 years ago

Read 2 more answers

An individual saves $5000 in a bank account at the beginning of each year for 10 years.

frozen [14]

Answer:

a) Amount saved if the interest is compounded annually is $5832

b) Amount saved if the interest is compounded semi-annually is $5849.5

Step-by-step explanation:

Principal Amount P = 5000

Time t = 10 years

Annual interest i = 8% = 0.08

We need to find amount saved if interest is compounded a) annually b) semi-annually

a) Amount saved if the interest is compounded annually

If interest compounded annually, n= 1

Using Formula: $A=P(1+\frac{r}{n})^{nt}$

Putting values:

$A=P(1+\frac{r}{n})^{nt} \\A=5000(1+\frac{0.08}{1})^{1*2}\\A=5000(1+0.08)^2\\A=5000(1.08)^2\\A=5000(1.1664)\\A=5832$

So, Amount saved if the interest is compounded annually is $5832

b) Amount saved if the interest is compounded semi-annually

If interest compounded semi-annually, n= 2

Using Formula: $A=P(1+\frac{r}{n})^{nt}$

Putting values:

$A=P(1+\frac{r}{n})^{nt} \\A=5000(1+\frac{0.08}{2})^{2*2}\\A=5000(1+0.04)^4\\A=5000(1.04)^4\\A=5000(1.1699)\\A=5849.5$

So, Amount saved if the interest is compounded semi-annually is $5849.5

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3 years ago

Can someone plz help me

Lemur [1.5K]

Answer:

(10 , 12)

Step-by-step explanation:

Steps in attachment

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3 years ago

Find the inverse function of f(x)=-4x-10

Dvinal [7]

$f(x)=-4x-10\\
y=-4x-10\\
-4x=y+10\\
x=-\frac{1}{4}y-\frac{5}{2}\\
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3 years ago

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kvv77 [185]

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