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3 years ago

What expression is equivalent to (5x^2+3x+4)- (2x^2+1)-(7x+3)

Mathematics

1 answer:

Mariana [72]3 years ago

6 0

Answer:3x^2+(-)4x

Step-by-step explanation:

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Estimate the integral ∫6,0 x^2dx by the midpoint estimate, n = 6

Anettt [7]

Splitting up the interval [0, 6] into 6 subintervals means we have

$[0,1]\cup[1,2]\cup[2,3]\cup\cdots\cup[5,6]$

and the respective midpoints are $\dfrac12,\dfrac32,\dfrac52,\ldots,\dfrac{11}2$ . We can write these sequentially as ${x_i}^*=\dfrac{2i+1}2$ where $0\le i\le5$ .

So the integral is approximately

$\displaystyle\int_0^6x^2\,\mathrm dx\approx\sum_{i=0}^5({x_i}^*)^2\Delta x_i=\frac{6-0}6\sum_{i=0}^5({x_i}^*)^2=\sum_{i=0}^5\left(\frac{2i+1}2\right)^2$

Recall that

$\displaystyle\sum_{i=1}^ni^2=\frac{n(n+1)(2n+1)}6$
$\displaystyle\sum_{i=1}^ni=\frac{n(n+1)}2$
$\displaystyle\sum_{i=1}^n1=n$

so our sum becomes

$\displaystyle\sum_{i=0}^5\left(\frac{2i+1}2\right)^2=\sum_{i=0}^5\left(i^2+i+\frac14\right)$
$=\displaystyle\frac{5(6)(11)}6+\frac{5(6)}2+\frac54=\frac{143}2$

8 0

3 years ago

-5⁄2 a + 5 = 25 What Does A =

ruslelena [56]

Answer:

a = -8

Step-by-step explanation:

-5⁄2 a + 5 = 25

Subtract 5 from each side

-5⁄2 a + 5-5 = 25-5

-5/2 a = 20

Multiply each side by -2/5 to isolate a

-2/5 * -5/2 a = -2/5 *20

a = -8

6 0

3 years ago

Need help with this angle don't know what to do with the x

vichka [17]

Hello!

Due to the definition of the Alternate Interior Angles Theorem, (x+23)+(x+54)=180 degrees:

x + 23 + x + 54 = 180
2x + 77 = 180
2x = 103
x = approximately 52 degrees or exactly 51.5 degrees

I hope this helps :))

4 0

3 years ago

Solve the following inequality 3y + 5 < 10

Alina [70]

Step-by-step explanation:

3y+5<10

3y<10-5

3y<5

y<⅗

8 0

3 years ago

Please help! Will mark brainliest if correct! Tysm :)

Vika [28.1K]

Answer:

the answer will be B)8,491 mm

Step-by-step explanation:

i hope it helps

have a nice day ^_^

4 0

3 years ago