What is the square root of 576/5?

Consider the function f(x) = x² – 3x – 4 and complete parts (a) through (C). (a) Find f(a+h); f(a+h)-f(a) (b) Find (c) Find the

Artist 52 [7]

Answer:

(a)

$f(a+h)=a^{2} +2ah+h^{2} -3a-3h-4$

(b)

$f(a+h)-f(a)=2ah+h^{2} -3h$

(c)

$\frac{df(a+h)}{dx} \left \{ { \atop {a=7}} \right. =2h+11$

Step-by-step explanation:

(a)

Simply evaluate (a+h) in the function:

$f(a+h)=(a+h)^{2} -3(a+h)-4=a^{2} +2ah+h^{2} -3a-3h-4$

(b)

Evaluate (a) in the function:

$f(a)=a^{2} -3a-4$

Using the previous answers lets calculate f(a+h)-f(a)

$f(a+h)-f(a)=a^{2} +2ah+h^{2} -3a-3h-4-(a^{2} -3a-4)=2ah+h^{2} -3h$

(c) To find the rate of change of f(a+1) when a=7 we need to calculate its derivate at that point:

$\frac{df(a+h)}{dx} \left \{ { \atop {a=7}} \right. =2a+2h-3=2(7)+2h-3=2h+14-3=2h+11$

7 0

3 years ago

Someone plz help me T^T

IRINA_888 [86]

Answer:24 red 48 yellow and 24 white.

Step-by-step explanation:

Math

8 0

3 years ago

If 3 × 8 = 24, which expression must equal 3? 8 ÷ 24 8 ÷ 3 24 ÷ 8 24 ÷ 3

lapo4ka [179]

8 divided by 24 = 0.33
8 divided by 3 = 2.6
24 divided by 8 = 3
24 divided by 3 = 8

7 0

3 years ago

A computer program contains one error. In order to find the error, we split the program into 6 blocks and test two of them, sele

Aleksandr-060686 [28]

There are $\dbinom62$ ways of selecting two of the six blocks at random. The probability that one of them contains an error is

$\dfrac{\dbinom11\dbinom51}{\dbinom62}=\dfrac5{15}=\dfrac13$

So $X$ has probability mass function

$f_X(x)=\begin{cases}\dfrac13&\text{for }x=1\\\\\dfrac23&\text{for }x=0\end{cases}$

These are the only two cases since there is only one error known to exist in the code; any two blocks of code chosen at random must either contain the error or not.

The expected value of finding an error is then

$\displaystyle\sum_{x=0}^1xf_X(x)=0\times\dfrac23+1\times\dfrac13=\dfrac13$

7 0

3 years ago

While working for a lawn service company, Austin figures he earns $5 for edging 20 feet of curb. If he edges 50 feet of curb at

Sonbull [250]

X= 12 is your answer explanation?

8 0

2 years ago