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Stells [14]
2 years ago
9

If the maximum value of y=-3x² + mx + 10 is 37, find the values of m.​

Mathematics
2 answers:
AleksAgata [21]2 years ago
8 0
M=-18...................
uysha [10]2 years ago
5 0

Step-by-step explanation:

y = -3x² + mx + 10

dy/dx = -6x + m.

When dy/dx = 0, -6x + m = 0. => x = m/6.

We have y = -3(m/6)² + m(m/6) + 10 = 37.

=> -m²/12 + m²/6 = 27

=> -m² + 2m² = 324

=> m² = 324

=> m = 18 or m = -18.

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By what percentage must the diameter of a circle be increased to increase its area by 50%?
katovenus [111]
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When given a function in standard form,how can you determine if the parabola has aminimum or maximum value
andrezito [222]

Answer:

It can be determined if a quadratic function given in standard form has a minimum or maximum value from the sign of the coefficient "a" of the function. A positive value of "a" indicates the presence of a minimum point while a negative value of "a" indicates the presence of a maximum point

Step-by-step explanation:

The function that describes a parabola is a quadratic function

The standard form of a quadratic function is given as follows;

f(x) = a·(x - h)² + k, where "a" ≠ 0

When the value of part of the function a·x² after expansion is responsible for the curved shape of the function and the sign of the constant "a", determines weather the the curve opens up or is "u-shaped" or opens down or is "n-shaped"

When "a" is negative, the parabola downwards, thereby having a n-shape and therefore it has a maximum point (maximum value of the y-coordinate) at the top of the curve

When "a" is positive, the parabola opens upwards having a "u-shape" and therefore, has a minimum point (minimum value of the y-coordinate) at the top of the curve.

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3 years ago
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We can express this time in seconds or minutes. Expressing it in seconds,

1 minute = 60 seconds

Therefore,

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If the course is 3 laps long, that means she completed 3 laps in 85 seconds. The time it will take her to race 2 laps would be

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Converting to minutes, it will be

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lisov135 [29]

Answer:

64 pages

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