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muminat
2 years ago
15

Solve the system. Tell how many solutions the system has. -2x + 4y = 9 x-27 = -7

Mathematics
1 answer:
belka [17]2 years ago
7 0
X-27=-7
x=20

-2x+4y=9
-2(20)+4y=9
-40+4y=9
4y=49
y=49/4
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Evaluate the Riemann sum for f(x) = 3 - 1/2 times x between 2 and 14 where the endpoints are included with six subintervals taki
Digiron [165]

Answer:

-6

Step-by-step explanation:

Given that :

we are to evaluate the Riemann sum for f(x) = 3 - \dfrac{1}{2}x from 2 ≤ x ≤ 14

where the endpoints are included with six subintervals, taking the sample points to be the left endpoints.

The Riemann sum can be computed as follows:

L_6 = \int ^{14}_{2}3- \dfrac{1}{2}x \dx = \lim_{n \to \infty} \sum \limits ^6 _{i=1} \ f (x_i -1) \Delta x

where:

\Delta x = \dfrac{b-a}{a}

a = 2

b =14

n = 6

∴

\Delta x = \dfrac{14-2}{6}

\Delta x = \dfrac{12}{6}

\Delta x =2

Hence;

x_0 = 2 \\ \\  x_1 = 2+2 =4\\ \\  x_2 = 2 + 2(2) \\ \\  x_i = 2 + 2i

Here, we are  using left end-points, then:

x_i-1 = 2+ 2(i-1)

Replacing it into Riemann equation;

L_6 =  \lim_{n \to \infty}  \sum \imits ^{6}_{i=1} \begin {pmatrix}3 - \dfrac{1}{2} \begin {pmatrix}  2+2 (i-1)  \end {pmatrix} \end {pmatrix}2

L_6 =  \lim_{n \to \infty}  \sum \imits ^{6}_{i=1} 6 - (2+2(i-1))

L_6 =  \lim_{n \to \infty}  \sum \imits ^{6}_{i=1} 6 - (2+2i-2)

L_6 =  \lim_{n \to \infty}  \sum \imits ^{6}_{i=1} 6 -2i

L_6 =  \lim_{n \to \infty}  \sum \imits ^{6}_{i=1} 6 -   \lim_{n \to \infty}  \sum \imits ^{6}_{i=1} 2i

L_6 =  \lim_{n \to \infty}  \sum \imits ^{6}_{i=1} 6 - 2  \lim_{n \to \infty}  \sum \imits ^{6}_{i=1} i

Estimating the integrals, we have :

= 6n - 2 ( \dfrac{n(n-1)}{2})

= 6n - n(n+1)

replacing thevalue of n = 6 (i.e the sub interval number), we have:

= 6(6) - 6(6+1)

= 36 - 36 -6

= -6

5 0
3 years ago
Please help me!!!!!!​
Lena [83]

Answer:

62 1/2

Step-by-step explanation:

I won't make you wait longer sorry if I'm too late

7 0
3 years ago
Halp me pls..<br> !!!!<br><br><br> :D I will be happy
pochemuha
The probability of multiple events happening is found by multiplying the probabilities of each event together.

P_{d+even\ number}=P_{d}*P_{even}\\\\P_{d}=\frac{number\ of\ events}{total\ number\ of\ events}=\frac{(d)}{a,\ b,\ c,\ d,\ e)}=\frac{1}{5}\\\\P_{even}=\frac{number\ of\ events}{total\ number\ of\ events}=\frac{(2,\ 4,\ 6)}{(1,\ 2,\ 3,\ 4,\ 5,\ 6)}=\frac{3}{6}=\frac{1}{2}\\\\\frac{1}{5}*\frac{1}{2}=\boxed{\frac{1}{10}}

So yes, 1/10 is the answer :)
5 0
3 years ago
Is 3(b+c) equivalent expressions?<br><br>A. True <br><br>B. False
andre [41]

Answer:

Is 3(b+c) equivalent expressions?

A. True

8 0
3 years ago
Read 2 more answers
Pls, help!!!! Will make brainliest!!! Answer both parts!
Vitek1552 [10]

pt. a

i dont know sorry im not good with linear equations

(and no, im not just doing this for points)

pt. b

Answer: no

Step-by-step explanation:

380%45=8.4444444

so it will take him around 8 and a 1/2 days to read it finish

4 0
2 years ago
Read 2 more answers
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