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MA_775_DIABLO [31]
3 years ago
7

Let f(x) = −x2 + ax + b. Determine the constants a and b such that f has a relative maximum at x = 3 and the relative maximum va

lue is 16.
a=?
b=?
Mathematics
1 answer:
Elan Coil [88]3 years ago
5 0

Answer:

Step-by-step explanation:

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Please I have the answers I just want to double check them and Solve key: B=42  A=93  N=29  X=36 1. (b-7)(2b-7) 2. (4a-4)(5a-7)
Nady [450]
1. <span>(b-7)(2b-7) = 2</span>b^{2} -21b +49; b = 42 => 2*41^{2} -21*42 + 49 =
3528 - 882 +  49 =  2695;
4 0
3 years ago
Read 2 more answers
Factor the trinomial x^2 - 2x - 8
ValentinkaMS [17]
Well what two numbers multiply to get -8 and add to get -2?
Well, to get -8, we either have (-1,8),(-2,4),(-4,2),(-8,1)
8-1=7
-2+4=2
2-4=-2
1-8=-7
Thus it should be (-4,2),
This means we should get (X-4)(X+2)
7 0
3 years ago
An oxygen tank contained 212 12/3 liters of oxygen before 27 1/3 liters were used. If the tank can hold 240 3/8 liters, how much
lukranit [14]
So, initially   240\frac{3}{8} -212 \frac{12}{3} were empty:

this is :

240  \frac{3}{8} - 212  \frac{12}{3}  = 240  \frac{3}{8} - 212  +4 = 240  \frac{3}{8} - 216= 24  \frac{3}{8}

12/4 is 4 so that's why i substituted it with 4.

now, later 27 1/3 were used so we add this tho the original empty space

 24  \frac{3}{8}+ 27  \frac{1}{3} =  24  \frac{9}{24}+ 27  \frac{8}{24} = 51  \frac{17}{24}


which is the result!





5 0
3 years ago
3. A square pyramid has a base with a side length
enot [183]

The lateral area of the pyramid is 15!

5 0
2 years ago
A tourist first walked 17km with a speed of v km/h. Then he hiked 12 km uphill with the speed that was 2 km/hour less than his o
ExtremeBDS [4]

Answer: t=\frac{17}{v}+\frac{12}{v-2}


Step-by-step explanation:

Given: A tourist first walked 17km with a speed of v km/h.

Since Speed=\frac{distance}{time}

therefore, Time=\frac{distance}{speed}

Let t_1 be the time he walked with speed v.

then t_1=\frac{17}{v}

Also he hiked 12 km uphill with the speed that was 2 km/hour less than his original speed.

Let t_2 be the time he hiked 12 km,

Then t_2=\frac{12}{v-2}

The total time for the whole trip is given by:-

t=t_1+t_2=

Substitute the values of t_1 and t_2 in the equation, we get

t=\frac{17}{v}+\frac{12}{v-2}

4 0
4 years ago
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