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rodikova [14]
3 years ago
6

3x+4=8y-3 5x+1=10y-4

Mathematics
1 answer:
dsp733 years ago
4 0

Answer:

x-3 and y=2

Step-by-step explanation:

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Helppppppp<br> 3<br> Σ (2n – 3)<br> n=0
Nataly [62]

Since there are only 4 terms in the sum, it's not too much work to expand it as

\displaystyle \sum_{n=0}^3 (2n-3) = -3 + (-1) + 1 + 3 = \boxed{0}

Alternatively, we can use the well-known formulas

\displaystyle \sum_{n=1}^N 1 = \underbrace{1 + 1 + \cdots + 1}_{N \text{ 1s}} = N

\displaystyle \sum_{n=1}^N n = 1+2+\cdots+N = \frac{N(N+1)}2

These sums start at n = 0, so in our given sum we will keep track of the 0-th term separately:

\displaystyle \sum_{n=0}^3 (2n-3) = -3 + \sum_{n=1}^3 (2n-3) = -3 + 2 \sum_{n=1}^3 n - 3 \sum_{n=1}^3 1 = -3 + 3\times4 - 3\times3 = 0

as expected.

8 0
2 years ago
Factor: 4x2 + 4x<br>Expand: -(x – 3)​
GarryVolchara [31]
<h2>Question: Factor: 4x2 + 4x</h2>

Find the GCF.

gcf = 4x

Factor out the GCF.

4x( \frac{4 {x}^{2} }{4x}  +  \frac{ {4x} }{4x} )

Simplify each term in parentheses.

4x(x + 1)

Hence, the answer is 4x(x + 1).

<h2 /><h2>Question: Expand: -(x - 3) </h2>

Remove parentheses.

- x  + 3

Regroup terms.

3 - x

Therefor, the answer is 3 - x.

6 0
3 years ago
Can you please help me solve for the area
ycow [4]

Answer:

area is equal to 198 cm^2

Step-by-step explanation:

the height h of the left triangle can be obtained by

Pytagoras theorem:

5^2+h^2=13^2\\25+h^2=169\\h^2=169-25\\h^2=144\\h=\sqrt{144} \\h=12

the, the area of the left triangle is

A_1=\frac{5*12}{2} \\A_1=5*6\\A_1=30

the area of the right triangle is

A_2=\frac{2*12}{2} \\A_2=12

and the area of the rectangle in the middle is

A_3=(13)(12)\\A_3=156

Por tanto, el area total sera

A=A_1+A_2+A_3\\A=30+12+156\\A=198

8 0
3 years ago
a line passes through the points (–6, 4) and (–2, 2). which is the equation of the line? y = -1/2x + 1, y = 1/2x + 7,y = –2x – 8
viva [34]

Answer:

-1/2x+1 is the equation.

Step-by-step explanation:

4 0
3 years ago
assume that random guesses are made for 9 multiple choice questions on an SAT test, so that there are n=9 trials, each with prob
Orlov [11]

Answer:

though this looks difficult. It's easier than you think. Just not visible until its visible. If I knew the answer, i would have told you... sorry.

8 0
4 years ago
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