4 years ago

Find the derivative of f(x)= -12x^2+9x

Mathematics

1 answer:

dexar [7]4 years ago

3 0

Answer:

- 24x + 9

Step-by-step explanation:

Differentiate each term using the power rule

$\frac{d}{dx}$ ( a $x^{n}$ ) = na $x^{n-1}$

Given

f(x) = - 12x² + 9x, then

f'(x) = (2 × - 12)x + (9 × 1) $x^{0}$ = - 24x + 9

You might be interested in

What is the value of "h"?

kotegsom [21]

Answer:

h = 76

Step-by-step explanation:

2 + h - 48 = 30

h + 2 - 48 = 30

h - 46 = 30

h - 46 + 46 = 30 + 46

h = 76

4 0

3 years ago

Read 2 more answers

Sherri bought her daughter a microscope for her birthday. If it cost $79.99 plus 5% tax, how much did she have to pay for it?

Eduardwww [97]

Answer:

Around 84 dollars

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

A student theater charges $8.50 per ticket.

Burka [1]

Answer: A) 680

B) if the theater charges more per ticket, then they can sell fewer tickets to reach their goal of $750.

Step-by-step explanation:

A) 8.50x +70 = 750

x=80

8.50(80)+70=750

7 0

3 years ago

Pleaseeeeeeeeee help

Anna35 [415]

Answer:

the answer is 240

Step-by-step explanation:

6x10=60

60x8=480

480÷2=240

7 0

3 years ago

Find all the integers,b, that make up the trinomial x2 + bx + 10 factorable.

KonstantinChe [14]

By the fundamental theorem of algebra, we can write

$x^2+bx+10=(x-r_1)(x-r_2)$

Expanding the right hand side, we get

$x^2+bx+10=x^2-(r_1+r_2)x+r_1r_2\implies\begin{cases}r_1+r_2=-b\\r_1r_2=10\end{cases}$

We want $b$ to be an integer, which means $r_1,r_2$ must also be integers. This means $r_1,r_2$ must be factors of 10. There are several possibilities:

$r_1=\pm10,r_2=\pm1\implies b=-(10+1)=-11\text{ or }b=-(-10-1)=11$

$r_1=\pm5,r_2=\pm2\implies b=-(5+2)=-7\text{ or }b=-(-5-2)=7$

So there are 4 possible values for $b$ : -11, -7, 7, and 11.

7 0

3 years ago