Assume that 0 a. 25/24<br> b. -25/24<br> c. 24/25<br> d. -24/25

Ipatiy [6.2K]

The answer is c you must look at key words i learned my key words

5 0

3 years ago

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

The mean of four consecutive even numbers is 15. The greatest of these numbers is a1. The least of these numbers is a2.

skad [1K]

X + (x + 2) + ( x + 4) + (x + 6)
-----------------------------------   = 15
   4

4x + 12
--------- = 15
    4

Multiply by 4 on both sides

4x + 12 = 60
subtract 12 from both sides
4x = 48
divide by 4 on each side
x = 12
x + 2 = 14
x + 4 = 16
x + 6 = 18

6 0

3 years ago

Which formula can you use to find the radius (r)r if you know that C=2πr?

fgiga [73]

First of all, it is 2r $\pi$ and it would be divide by 3.14 (pi) and then you should have the diameter. Then divide by 2 to find radius.