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3 years ago

What is the solution of the system? 2x+y=8 x-3y=4

1 answer:

6 0

So 1st make the both equation equal y, so put all the values on right and y on left. They solve it graphically or algebraically.

My answer for this system is (4,0) so solution is x=4

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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

All of the following are equivalent except: 4% 04 1/25

qaws [65]

4 is not equivalent to 4% or 1/25

3 0

3 years ago

One egg carton holds 12 eggs how many cartons are you able to fill with 60 eggs

PtichkaEL [24]

The answer should be 5 egg cartons

8 0

3 years ago

Read 2 more answers

Determine the quadrant for the ordered pair when graphed (-22.4 , 22.3)

IgorC [24]

Answer:

Quadrant 2 (a.k.a. quadrant II)

Step-by-step explanation:

Think: in which quadrant are the x-values negative and the y-values positive?

( - , + ) 2 | (+, +) 1

________|__________

( -, -) 3 | (+, -) 4

3 0

4 years ago

Please help me asap.

Finger [1]

Answer:

30.2 aka C

Step-by-step explanation:

The formula for the area of a circle is A = pir^2. Knowing this we can create the equation A = 3.14(3.1)^2. Following PEMDAS square 3.1 to get 9.61. Then you multiply 9.61 with 3.14 to get 30.1754. When you round to the nearest tenth you get 30.2.

8 0

3 years ago