F(x)=2x²+18x+16
1) we have to calculate the first derived.

f´(x)=4x+18

2) Now, we equalize the first derived to "0" and find out the value of "x"
4x+18=0
4x=-18
x=-18/4=-4.5

3)we calculate the second derived
f´´(x)=4>0 ⇒we have a minimum at x=-4.5

4) Now we calculate the value of "y".
f(-4.5)=2(-4.5)²+18(-4.5)+16=40.5-81+16=-24.5

Therefore; Exist a minimum at (-4.5 , -24.5)

7 0

3 years ago

Help me, please !!!!!

vova2212 [387]

Answer: 100

Hi!

ok so the Pythagorean theorem is

$c=\sqrt{x} a^2+b^2=\sqrt{x} 8^2+6^2=10$

so the other side is 10.

the square 8 is 8*8

and square 6 is 6*6

so the other square is 10*10=100.

so the area of the blank square is 100.

Step-by-step explanation:

Can I have brainliest?

Thanks!

Have a nice day!

4 0

3 years ago

Tshepo needs R5 000 urgently. He goes to the bank and borrows the money at an interest rate of 28% per annum, compounded monthly

12345 [234]

Answer:

<u>R8000</u>.

Step-by-step explanation:

First, let's calculate the amount they are going to have to pay the bank after 1 year. It is given by the following expression:

R5 000 * 1.28= R6400

Therefore, they have to pay R6400/12 monthly.

Now, in fifteen months the total amount to pay should be (R6400/12) * 15= <u>R8000</u>.

8 0

1 year ago