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adelina 88 [10]
3 years ago
13

The product of two consecutive even integers is 120. Find the interfere

Mathematics
1 answer:
nlexa [21]3 years ago
8 0
the correct question is
<span>The product of two consecutive even integers is 120. Find the integers

let
x-----------> first even integer
x+2-------> second consecutive even integer

we know that
x*(x+2)=120-------> x</span>²+2x-120=0
<span>
using a graph tool----> to resolve the second order equation
see the attached figure

the solution is
x=10

therefore
</span>first even integer is 10
second consecutive even integer is (10+2)----> 12
<span>
the answer is
10 and 12

</span>

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Answer:

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Step-by-step explanation:

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3 years ago
Seven times the sum of 4 and some number is 42
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The number of salmon swimming upstream to spawn is approximated by the following function:
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Answer:

The water temperature that produces the maximum number of salmon swimming upstream is approximately 12.305 degrees Celsius.

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We compute the first and second derivatives of the function:

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Then we equalize (Eq. 1) to zero and solve for x:

-3\cdot x^{2}+4\cdot x +405 = 0

And all roots are found by Quadratic Formula:

x_{1} \approx 12.305\,^{\circ}C, x_{2}\approx -10.971\,^{\circ}C

Only the first root is inside the given interval of the function. Hence, the correct answer is:

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