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Marina86 [1]
3 years ago
12

The water level in Rocky's lake changes on an average of -7/16 every 3 years. Based on the rate of the level, how much will the

water level change after a year
Mathematics
1 answer:
riadik2000 [5.3K]3 years ago
5 0

Answer:

-7/ 48

Step-by-step explanation:

Given that:

Average change in water level per 3 years = - 7/16

This means the water level decreases by - 7/16 on average every 3 years

The change in water level after a year will be ;

-7/16 = 3

x = 1

Cross multiply ;

3x = - 7/16

Divide both sides by 3

x = -7/16 ÷ 3

x = - 7/16 * 1/3

x = - 7 / 48

Hence, water level will change by - 7/48 after a year.

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Answer:

x = -5 + √65/2 or

x = -5 - √65/2

Step-by-step explanation:

-2x² - 5x + 5 = 0

2x² + 5x - 5 = 0

Here,

a = 2

b = 5

c = - 5

Now,

Discriminant

<em><u>D = b² - 4ac</u></em>

<em><u> </u></em><em><u> </u></em><em><u> </u></em><em><u> </u></em>= (5)² - 4(2)(-5)

= 25 + 40

= 65

<u>D = 65 > 0</u>

Then,

x = -b +-√b² - 4ac/2a

x = -5 +-√(5)² - 4(2)(-5)/2(2)

= -5 +-√25 + 40/4

= -5 +-√65/4

= -5 +-√65/2

<em><u>x = -5 + √65/2 or x = -5 - √65/2</u></em>

6 0
3 years ago
3^9 times 3^7 in exponential form
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3¹⁶

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Hope this helps!

3 0
3 years ago
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Mario spent $5.86 for a drink and a sandwich. His drink cost $1.34. How much did Mario spend on the sandwich. Create and solve a
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Step-by-step explanation:

8 0
2 years ago
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Please help
Firdavs [7]

Answer:

(–10, –2), (6, 6)

Step-by-step explanation:

we know that

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

<u><em>Verify each case</em></u>

case 1) (5, –4), (–2, 1)

substitute in the formula

m=\frac{1-(-4)}{-2-5}

m=\frac{1+4}{-2-5}

m=\frac{5}{-7}

m=-\frac{5}{7}  ----> the slope is negative

case 2) (6, –10), (2, 10)

substitute in the formula

m=\frac{10-(-10)}{2-6}

m=\frac{10+10}{2-6}

m=\frac{20}{-4}

m=-5  ----> the slope is negative

case 3) (–10, –2), (6, 6)

substitute in the formula

m=\frac{6-(-2)}{6-(-10)}

m=\frac{6+2}{6+10}

m=\frac{8}{16}

m=0.5  ----> the slope is positive

case 4) (5, –1), (–6, 6)

substitute in the formula

m=\frac{6-(-1)}{-6-5}

m=\frac{6+1}{-6-5}

m=\frac{7}{-11}

m=-\frac{7}{11}   ----> the slope is negative

3 0
3 years ago
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