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Travka [436]
4 years ago
7

Two pools are fill with water. To start the first pool contains 1210 L of water and the second pool is empty water is been added

to the first pool at a rate of 15.5 L per minute water is being added to the second pool at a rate of 45.75 L per minute
After how many minutes will the two pools have the same amount of water?



How much water will be in each pool when they have the same amount?
Mathematics
1 answer:
Julli [10]4 years ago
8 0

Answer:

40 minutes, 1830 litres

Step-by-step explanation:

1210+15.5t=45.75t

1210=30.25t

1210/30.25=t

40=t

W=45.75t

W=45.75(40)

W=1830L

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Find all the zeroes of the polynomial function f(x)=x^3-5x^2+6x-30 in you use synthetic division show all three lines of numbers
jonny [76]

Answer:

5,i\sqrt 6 and -i\sqrt 6

Step-by-step explanation:

We are given that  the polynomial

f(x)=x^3-5x^2+6x-30

We have to find the all the zeroes of the polynomial function.

f(x)=0

x^3-5x^2+6x-30=0

x^2(x-5)+6(x-5)=0

(x-5)(x^2+6)=0

x-5=0

x=5

x^2+6=0

x^2=-6

x=\pm\sqrt{-6}=\pm i\sqrt6

Using \sqrt{-1}=i

Hence, all the zeroes of the polynomial function are

5,i\sqrt 6 and -i\sqrt 6

7 0
3 years ago
Identify the graph of 4x^2+5y^2=20 for T(5,-6) and write an equation of the translated or rotated graph in general form. (pictur
NikAS [45]

Answer:

b. ellipse; 4x^2+5y^2-40x+60y+260=0

Step-by-step explanation:

The graph of 4x^2+5y^2=20 an ellipse because the coefficients of the quadratic terms are not the same.

This ellipse is centered at the origin. If this ellipse is translated  so that its center is now at (5,-6).

Then the translated ellipse will now have equation.

4(x-5)^2+5(y+6)^2=20

We expand to get;

4(x^2-10x+25)+5(y^2+12y+36)=20

4x^2-40x+100+5y^2+60y+180=20

4x^2+5y^2-40x+60y+100+180-20=0

4x^2+5y^2-40x+60y+260=0

6 0
4 years ago
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irinina [24]

Question:

Which fraction is equivalent to \frac{2}{6}?

- \frac{3}{7} because \frac{2}{6}= \frac{2 + 1}{6 + 1}

- \frac{3}{9} because \frac{2}{6}= \frac{1}{3} and \frac{1}{3} = \frac{3}{9}

- \frac{3}{12} because \frac{2}{6}= \frac{1}{3} and \frac{1}{3} = \frac{3}{9}

- \frac{3}{8} because \frac{2}{6}= \frac{1}{2} = \frac{2+1}{6+2} = \frac{3}{8}

Answer:

- \frac{3}{9} because \frac{2}{6}= \frac{1}{3} and \frac{1}{3} = \frac{3}{9}

Step-by-step explanation:

Two fractions are said to be equal if and only if they give the same value when simplified.

The equivalent of \frac{2}{6} is as explained in the selected option;

First, divide numerator and denominator by 2

\frac{2/2}{6/2}

Then simplify

2/2 = 1 and 6/2 = 3; So;

\frac{2/2}{6/2} = \frac{1}{3}

Multiply numerator and denominator by 3

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Hence, \frac{2}{6} is equivalent to \frac{3}{9}

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Answer:

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Step-by-step explanation:

Factor 3x^2-17x-20, and you get (x + 1)(3 x - 20)

When 3x^2-17x-20 is equal 100

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Subtract both sides by 100

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Use the quadratic formula

x = 17/6 + sqrt(1729)/6, x = 17/6 - sqrt(1729)/6

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