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mart [117]
3 years ago
6

if you subtract the least integer from the greatest integer and divide the difference by 3 the quotient is 5

Mathematics
1 answer:
vodomira [7]3 years ago
7 0
Let a and b be integers and b>a, then we can say:

(b-a)/3=5  now multiply both sides by 3

b-a=15

b=15+a

So there are infinitely many pairs of integers that satisfy the conditions given in the problem. For any value a, b will be 15 units greater.
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7. Show all work to identify the discontinuity and zero of the function f of x equals 5 x over quantity x squared minus 25.
olganol [36]

Question 1:

For this case we have that the function f (x) = \frac {5x} {x ^ 2-25} is undefined or discontinuous where the denominator equals 0.

x ^ 2-25 = 0\\x ^ 2 = 25\\x = \pm \sqrt {25}\\x_ {1} = + 5\\x_ {2} = - 5

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To find the zeros of the function we match the function to zero and clear "x":

\frac {5x} {x ^ 2-25} = 0

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Question 2:

For this case we propose a system of equations:

x: Be the variable that represents the yellow fish

y: Be the variable that represents the green fish

x = y-6\\x = 0.4 (x + y)

We manipulate the second equation:

x = 0.4x + 0.4y\\x-0.4x = 0.4y\\0.6x = 0.4y\\y = \frac {0.6} {0.4} x\\y = 1.5x

We substitute in the first equation:

x = y-6\\x = 1.5x-6\\x-1.5x = -6\\-0.5x = -6\\x = \frac {-6} {- 0.5}\\x = 12

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y = 1.5 * 12\\y = 18

So, we have 18 green fish.

Answer:

12 yellow fish

18 green fish

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