All categories

3 years ago

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

Mathematics

2 answers:

AleksAgata [21]3 years ago

8 0

M=-18...................

uysha [10]3 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.

You might be interested in

Help with this, giving 20 points!

Bond [772]

Answer:

Step-by-step explanation:

the shape is a rhombus the are is 24

3 0

3 years ago

1 2 3 4 5 6 7 8 9 10 TIME REMAINING 52:51 Use the data set to determine which statements are correct. Check all that apply. 35,

Nady [450]

Answer:

The true statements are:

The median is 38.5.
There is an outlier.
The lower quartile is 29.
The upper quartile is 70.
The interquartile range is 41.

Step-by-step explanation:

The given data are: 35, 41, 18, 75, 36, 21, 62, 29, 154, 70

Make the data in order from the least to the greatest

18 , 21 , 29 , 35 , 36 , 41 , 62 , 70 , 75 , 154

So, the median of the data = (36 + 41)/2 = 38.5

We can deduce that The number 154 represents an outlier because the difference between 154 and 75 is much greater than the difference between the other data

If we divided the data to two groups , they will be:

(18 , 21 , 29 , 35 , 36) , (41 , 62 , 70 , 75 , 154)

So, The lower quartile Q1 is the median of the first group = 29

And the upper quartile Q2 is the median of the second group = 70

And the interquartile range = Q2 - Q1 = 70 - 29 = 41

So, the true statements are:

The median is 38.5
There is an outlier
The lower quartile is 29
The upper quartile is 70
The interquartile range is 41.

7 0

3 years ago

A man deposited $ 800 in his account at a bank which offers 6% simple interest per annum. How much interest would he receive on

strojnjashka [21]

Answer:

The answer is Rs.43,200.

5 0

3 years ago

Radical functions are the inverse functions of exponential functions. A.true B.false

dybincka [34]

Logarithmic functions are the inverses of exponential functions. The inverse of the exponential function y = ax is x = ay. The logarithmic function y = logax is defined to be equivalent to the exponential equation x = ay. y = logax only under the following conditions: x = ay, a > 0, and a≠1.

4 0

3 years ago

The table represents an exponential function.

kkurt [141]

Answer:

b=2/3

Step-by-step explanation:

The table is given as:

$\left|\begin{array}{c|c}x&y\\--&--\\1&9\\2&6\\3&4\\4&\dfrac83\\\\5&\dfrac{16}{9}\end{array}\right|$