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3 years ago

Solve equations using addition x+y=5 and x-y=3

1 answer:

8 0

X + y = 5 ---------- (1)
x - y = 3 ----------- (2)

(1) + (2):
2x = 8
x = 4 ----------- sub into (1)

4 + y = 5
y = 5 - 4
y = 1

Ans: x = 4, y = 1

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Evaluate using the finite geometric sum formula

Sever21 [200]

Answer:

$S_9=-18.703$ .

Step-by-step explanation:

The given series is,

$\sum_{i=1}^9(-\frac{1}{2})^{i-1}$

When we substitute $i=1$ , we get the first term, which is $a_1=-28(-\frac{1}{2})^{1-1}$

This implies that,

$a_1=-28(-\frac{1}{2})^{0}$

$a_1=-28(1)=-28$ .

The common ratio is

$r=-\frac{1}{2}$

The finite geometric sum is given by the formula,

$S_n=\frac{a_1(r^n-1)}{r-1} , -1\:$ .

Since there are 9 terms, we find the sum of the first nine terms by putting $n=9$ in to the formula to get,

$S_9=\frac{-28((-\frac{1}{2})^9-1)}{-\frac{1}{2}-1}$ .

$S_9=\frac{-28((-\frac{1}{512})-1)}{-\frac{3}{2}}$ .

$S_9=\frac{-28(-\frac{513}{512})}{-\frac{3}{2}}$ .

$S_9=-28(\frac{171}{256})$ .

$S_9=-\frac{1197}{64}$ .

$S_9=-18.703$ .

The correct answer is B

4 0

3 years ago

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This is a sketch of the curve with equation y = f(x).

Galina-37 [17]

Answer:

Below in bold.

Step-by-step explanation:

a) the curve moves up 5 units, so

the vertex is (2, -3 + 5)

= (2, 2).

b) - f(x) is the image of f(x) in the x-axis so

The vertex is at (2, 3).

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2 years ago

The production rate of a steel factory is declining due to old machinery. Over the last eight days production has dropped by 1.2

Marysya12 [62]

Find the unit rate:

-1.2 tons
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8 days

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3 years ago

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PLEASE HELP ME GRAPH THIS

spin [16.1K]

Answer:

$\huge\boxed{(12,80),(10,65)}$

Step-by-step explanation:

The line given has a slope of 7.5 and a point at (12, 80)

Because of the slope, simply subtract 2 from the x and subtract 15 from the y to get another point, at (10, 65)

Thus, simply put your points at (10, 65) and (12, 80)

Hope it helps and let me know if you want me to elaborate.

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3 years ago

You invest $1,100 in an account that has an annual interest rate of 2.1%, compounded continuously. How much money will be in the

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$1100 x 1.021^7 = $1272 (whole number.)

the $1100 is the original amount of money put in the bank with the 1.021 being the interest rate. this was put to the power of 7 to represent the years the money will be in the account.

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3 years ago