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Katyanochek1 [597]
2 years ago
10

If x / 2y = 0.4 , A / 5B = 0.25 Then A + y / 5 =….... ​

Mathematics
1 answer:
shusha [124]2 years ago
6 0

Answer:

\frac{x}{2y}  =  \frac{4}{10}  \\ 8y = 10x \\ y =  \frac{10x}{8} -  -  -  -  - 1  \\  \\  \frac{a}{5b}  =  \frac{25}{100}  \\  \frac{a}{5b}  =  \frac{1}{4}  \\ 4a = 5b \\ a =  \frac{5b}{4}  -  -  - 2 \\  \\ so \:  \:  \frac{a + y}{5}  \\  = (a + y) \times  \frac{1}{5}  \\  = ( \frac{5b}{4}  +  \frac{5x}{4} ) \times  \frac{1}{5}  \\  =  \frac{5b + 5x}{4}  \times  \frac{1}{5}  \\  =  \frac{5(b + x)}{4}  \times  \frac{1}{5}  \\  =  \frac{b + x}{4}  \\  \\ so \:  \:  \:  \frac{a + y}{5}  =  \frac{b + x}{4}

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mojhsa [17]
<h2><u>Graphing</u></h2>

<h3>The graph of this function is shifted 7 units right and shifted 5 units up.</h3>

<h3>f(x) = -2/3(x - 7)² - 5</h3>

  • True
  • False

<u>Answer:</u>

  • <u>False</u>

<u>Explanation:</u>

  • Why false? As I noticed, in the equation f(x) = -2/3(x - 7)² - 5, the vertex is (7, -5). The value of a, which is -2/3, is negative. So the graph opens downwards. The graph shifts 7 units to the right, which is correct, but graphing 5 units up is wrong. Why? 5 is negative, so it should be shifted 5 units down.

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2 years ago
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Snowcat [4.5K]

Answer:

x = 66

Step-by-step explanation:

√(x - 2) + 3 = 11

Subtract 3 from both sides:  √(x - 2) = 8

Square both sides:                   x - 2 = 64

Add 2 to both sides:                      x = 66

8 0
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If $1000 is invested at 8% interest, compounded annually, then after n years the investment is worthan = 1000(1.08)ndollars.(a)
Luba_88 [7]

Answer:

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Step-by-step explanation:

(a)

1st year: 1000 * 1.08^1 = \$1080

2nd year: 1000 * 1.08^2 = \$1166.4

3rd year: 1000 * 1.08^3 = \$1259.71

4th year: 1000 * 1.08^4 = \$1360.49

5th year: 1000 * 1.08^5 = \$1469.33

(b) The sequence is divergent, because if we take the derivative of the function with respect to n year:

(1000*1.08^n)^{'} = 1000ln(n)*1.08^n

This is a positive, meaning the slope of the function is positive. If we take the second derivative using product rule

(1000ln(n)*1.08^n)^{'} = 1000\frac{ln(n)}{n}1.08^n

This is also positive when n > 0. Therefore, the slope is positive and increasing. This means the sequence diverges.

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