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barxatty [35]
3 years ago
6

How many solutions does the system have?

Mathematics
1 answer:
lions [1.4K]3 years ago
7 0
Quadratics always have 2 solutions, a positive and a negative version of the answer
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What is 5/8.65 I want my work to see work
Bond [772]
I hope this helps you

6 0
3 years ago
Which number does NOT represent a rational number
defon

Answer:

Step-by-step explanation:

B is not rational. B = sqrt(3*3 * 2 * 5) = 3 sqrt(10)   sqrt(10) is irrational.

8 0
3 years ago
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One tank is filling at a rate of 5/8 gallon per 7/10 hour. A second tank is filling at a rate of 5/9 gallon per 2/3 hour. Which
anzhelika [568]
First recognize that the unit rate we're finding is gallons per hour, or \frac{g}{h}.

rate for Tank 1 = x gallons per hour = <em>a</em> gallons / <em>b</em> hours

T_{1}=\frac{\frac{5}{8}}{\frac{7}{10}}\\\\T_{1}=\frac{5}{8}*\frac{10}{7}\\\\T_{1}=\frac{50}{56}\\\\\\Fill\ rate\ of\ Tank\ 1=\frac{25}{28}


rate for Tank 2 = y gallons per hour = <em>c</em> gallons / <em>d</em> hours

T_{2}=\frac{\frac{5}{9}}{\frac{2}{3}}\\\\T_{2}=\frac{5}{9}*\frac{3}{2}\\\\T_{2}=\frac{15}{18}\\\\T_{2}=\frac{15}{18}\\\\\\Fill\ rate\ of\ Tank\ 2=\frac{5}{6}
3 0
3 years ago
Find two numbers whose sum is 25 and the sum of whose reciprocals is 1/6
Katen [24]

Answer:

10 and 15

Step-by-step explanation:

Let 'x' and 'y' are the numbers we need to find.

x + y = 25 (two numbers whose sum is 25)

(1/x) + (1/y) = 1/6 (the sum of whose reciprocals is 1/6)

The solutions of the this system of equations are the numbers we need to find.

x = 25 - y

1/(25 - y) + 1/y = 1/6 multiply both sides by 6(25-y)y

6y + 6(25-y) = (25-y)y

6y + 150 - 6y = 25y - (y^2)

y^2 - 25y + 150 = 0 quadratic equation has 2 solutions

y1 = 15

y2 = 10

Thus we have :

First solution: for y = 15, x = 25 - 15 = 10

Second solution: for y = 10, x = 25 - 10 = 15

The first and the second solution are in fact the same one solution we are looking for: the two numbers are 10 and 15 (since the combination 10 and 15 is the same as 15 and 10).

5 0
3 years ago
b. Two events are dependent if the occurrence of one event changes to occurrence of the second event. True or False
Naddika [18.5K]

Answer:

true

Step-by-step explanation:

6 0
3 years ago
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