A rectangle has vertices on a coordinate plane at points E(-2,-2), F(-2,5), G(4,5), and H(4,-2). What is the length of side EF

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

There are 8 ounces in 1 cup. The table shows some conversions between ounces and cups. Which equation describes how to convert b

ipn [44]

Answer:

Z=8C

If you times Cups C by 8, you get ounces Z. Sorry, not too sure how to explain here.

7 0

3 years ago

Dan needs to buy tomatoes to put on 30 Turkey sandwiches if the slices of one tomatoe can go on 4 sandwiches how many tomatoes s

Ipatiy [6.2K]

Dan should buy 8 tomatoes because then he can make 32 slices which is more than enough to put on the sandwiches.

8 0

3 years ago

Read 2 more answers

Use the formula A = bh , where A is the area, b is the base length, and h is the height of the parallelogram, to solve this prob

ELEN [110]

A=bh
108=12(h)
h=a/b
h=108/12
h=9

5 0

3 years ago

Write the equation of the line in standard form <br><br> 4xy + 2y = 9

padilas [110]

Answer: I think the answer is the same thing I can’t show a Step-by-step explanation because Math-way requires a premium to show a step-by-step explanation, anyway the answer is 4xy + 2y = 9, I’m sorry about that. :(

Step-by-step explanation: Well anyway, The standard form of a linear equation is Ax+By=C.

6 0

3 years ago