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2 years ago

Find the LCD for the list of rational expressions. 2 7x +4 x2 + 5x - 14' x2 + 3x – 28

Mathematics

1 answer:

andre [41]2 years ago

7 0

the equation is made and the included values are indicated.

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Find the zeros of the polynomial function and state the multiplicity of each.

zheka24 [161]

$\bf f(x) = 4(x + 7)^2(x - 7)^3\implies 0 = 4(x + 7)^2(x - 7)^3
\\\\\\
0=(x+7)^2(x-7)^3\implies 
\begin{cases}
0=(x+7)^7\\
\qquad 0=(x+7)(x+7)\\
\qquad -7=x\\
\qquad -7=x\\
----------\\
0=(x-7)^3\\
\qquad 0=(x-7)(x-7)(x-7)\\
\qquad 7=x\\
\qquad 7=x\\
\qquad 7=x
\end{cases}$

the -7 is found there twice, so it has a multiplicity of 2
the +7 is there thrice, so it has multiplicity of 3

7 0

3 years ago

Factor the polynomial expression x4 + 18x2 + 81

Akimi4 [234]

Answer: $(x^2+9)^2$

Step-by-step explanation:

Rewrite it in the form $a^2+2ab+b^2$ , where $a=x^2 and b=9.$

$(x^2)^2+2(x^2)(9)+9^2$

Use Square of Sum: $(a+b)^2= a^2+2ab+b^2$

$(x^2+9)^2$

4 0

3 years ago

The first three terms of a sequence are given. Round to the nearest thousandth (if necessary).

BaLLatris [955]

Answer:

a₆ ≈ 25.284

Step-by-step explanation:

There is a common ratio between consecutive terms , that is

8 ÷ 6 = $\frac{32}{3}$ ÷ 8 = $\frac{4}{3}$

This indicates the sequence is geometric with nth term

$a_{n}$ = a₁ $r^{n-1}$

where a₁ is the first term and r the common ratio

Here a₁ = 6 and r = $\frac{4}{3}$ , then

a₆ = 6 × $(\frac{4}{3}) ^{5}$ = 6 × $\frac{1024}{243}$ = $\frac{6(1024)}{243}$ ≈ 25.284 ( to the nearest thousandth )

6 0

2 years ago

Read 2 more answers

Principle=$745 rate= 9% time= 4years

Dennis_Churaev [7]

Based on a yearly rate (which is the norm) I give you my answer ..

Your principle is at 745$
Annual Rate 9%

For the first year your principle will grow by 67.05 $ if untouched (9%) up to 812.05 $

2nd year .. 9% of the 812.05 $ is 73.0845 $ .. So by the 2nd year you reach 885.1345 $

3rd year .. 79.662105 $ .. Total 964.796605 $

4th year .. 86.83169445 $ .. Final 4 Years Total 1051.62829945 $

4 0

3 years ago

How can help me with this pls!!

Crank

Can u take a better picture

5 0

3 years ago