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Gre4nikov [31]
3 years ago
7

Marcus currently has $42 and plans to save an additional $5 each week to buy a pair of shoes. He made a table showing the total

amount of money he will have saved for different weeks. Number of weeks 0 2 5 8 Total amount of money ($) 42 52 67 82 Write an equation in standard form that represents the relationship between the number of weeks and the total amount of money Marcus will have saved. incorrect answer: −x+5y=42 . expected answer: −5x+y=42 . x+5y=42 x+5y=42 - no response given 5x+y=42 5x+y=42 - no response given −5x+y=42 −5x+y=42 - no response given - correct −x+5y=42
Mathematics
2 answers:
ad-work [718]3 years ago
8 0

the answer the other guy put is WRONG !!!! the real answer is 5x−y=−42 TRUST ME. i took the test and got it correct !!!

Sidana [21]3 years ago
3 0
Equation that represents therelationship between the nmber of weeks and total amount of money marcus will have saved is

Y= 5x+42

-5x +y =42

He currently has $42 with planning to save $5 each week. So, $5 per week is the slope and $42 is the y intercept.
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The number of salmon swimming upstream to spawn is approximated by the following function:
umka2103 [35]

Answer:

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

Step-by-step explanation:

Let S(x) = -x^{3}+2\cdot x^{2}+405\cdot x +4965, for 6 \leq x \leq 20. x represents the temperature of the water, measured in degrees Celsius, and S is the number of salmon swimming upstream to spawn, dimensionless.

We compute the first and second derivatives of the function:

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S''(x) = -6\cdot x +4 (Eq. 2)

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:

x \approx 12.305\,^{\circ}C

Now we evaluate the second derivative at given result. That is:

S''(12.305) = -6\cdot (12.305)+4

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According to the Second Derivative Test, a negative value means that critical value leads to a maximum. In consequence, the water temperature that produces the maximum number of salmon swimming upstream is approximately 12.305 degrees Celsius.

5 0
3 years ago
A right triangle has an area of 18 The length of each leg is 6 inches. If the triangle is not an isosceles triangle, what are al
ladessa [460]

Given:

Area of a right triangle = 18 sq. inches

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The length of another leg.

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18=\dfrac{1}{2}\times 6\times leg_2

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Divide both sides by 3.

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Therefore, the possible pairs of legs are 1 and 36, 2 and 18, 3 and 12, 4 and 9, 6 and 6, 9 and 4, 12 and 3, 18 and 2, 36 and 1.

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