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evablogger [386]
3 years ago
8

Find the products (4m+5)(3m-6)

Mathematics
2 answers:
Vesnalui [34]3 years ago
4 0

Answer:

12m^2 - 9m -30

Step-by-step explanation:

So rewrite the equation to this:

4m * 3m

4m * -6

5 * 3m

5 * -6

Now solve:

4m * 3m = 12m^2

4m * -6 = -24m

5 * 3m = 15m

5 * -6 = -30

Now add them together in order:

12m^2 - 24m + 15m - 30

Simplify -24m and 15m:

12m^2 - 9m -30

Thus

12m^2 - 9m -30 is the answer

Hope this helps!

AnnZ [28]3 years ago
4 0

Answer:

12m² - 9m - 30

Step-by-step explanation:

find the products (4m+5)(3m-6)

(4m + 5)(3m - 6) =

12m²- 24m + 15m - 30 =

12m² - 9m - 30

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1) Use power series to find the series solution to the differential equation y'+2y = 0 PLEASE SHOW ALL YOUR WORK, OR RISK LOSING
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If

y=\displaystyle\sum_{n=0}^\infty a_nx^n

then

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The ODE in terms of these series is

\displaystyle\sum_{n=0}^\infty(n+1)a_{n+1}x^n+2\sum_{n=0}^\infty a_nx^n=0

\displaystyle\sum_{n=0}^\infty\bigg(a_{n+1}+2a_n\bigg)x^n=0

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We can solve the recurrence exactly by substitution:

a_{n+1}=-\dfrac2{n+1}a_n=\dfrac{2^2}{(n+1)n}a_{n-1}=-\dfrac{2^3}{(n+1)n(n-1)}a_{n-2}=\cdots=\dfrac{(-2)^{n+1}}{(n+1)!}a_0

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y(x)=\displaystyle a_0\sum_{n=0}^\infty\frac{(-2x)^n}{n!}

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Answer:

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Let's set up an equation.

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$126.53 - cost for parts

3 - # of hours

? - price per hour

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Subtract $126.53 from both sides.

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Divide by 3.

h = $31.25

The mechanic charges $31.25 per hour for labor.

Hope that helps.

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