2 years ago

Evaluate f(-2) if f(x) = x²+ 3x +1

Mathematics

1 answer:

Zinaida [17]2 years ago

4 0

Answer:

-1

Step-by-step explanation:

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A cell phone company recently noticed a 26% sales decrease in the month of July compared to June. Let n represent June’s sales.

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Step-by-step explanation:

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3 years ago

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What is 19 divided by 2 in decimals

Bingel [31]

19/2 = 9.5. Hope this helped.

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4 years ago

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1.What is the area of the circles<br><br> What is the area of the shaded region?

Rama09 [41]

Answer:

47.32 in^2

Step-by-step explanation:

Area rectangle = 21cm * 10.5cm = 220.5 cm^2

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= Pi * 5.25^2

=( 86.59 in^2 )*2

= 173.18 in^2

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3 years ago

Examine the quadratic equation LaTeX: 9x^2+12x+4=0

Tamiku [17]

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3 years ago

For the function given below, find a formula for the riemann sum obtained by dividing the interval [a,b] into n equal subinter

Nata [24]

We split [2, 4] into $n$ subintervals of length $\dfrac{4-2}n=\dfrac2n$ ,

$[2,4]=\left[2,2+\dfrac2n\right]\cup\left[2+\dfrac2n,2+\dfrac4n\right]\cup\left[2+\dfrac4n,2+\dfrac6n\right]\cup\cdots\cup\left[2+\dfrac{2(n-1)}n,4\right]$

so that the right endpoints are given by the sequence

$x_i=2+\dfrac{2i}n=\dfrac{2(n+i)}n$

for $1\le i\le n$ . Then the Riemann sum approximating

$\displaystyle\int_2^42x\,\mathrm dx$

$\displaystyle\sum_{i=1}^nf(x_i)\dfrac{4-2}n=\frac8{n^2}\sum_{i=1}^n(n+i)=\frac8{n^2}\left(n^2+\frac{n(n+1)}2\right)=\frac{12n+4}n$

The integral is given exactly as $n\to\infty$ , for which we get

$\displaystyle\int_2^42x\,\mathrm dx=\lim_{n\to\infty}\frac{12n+4}n=12$

To check: we have

$\displaystyle\int_2^42x\,\mathrm dx=x^2\bigg|_2^4=4^2-2^2=16-4=12$

7 0

3 years ago