Which is the correct graph of the inequality y >. 2x + 1

Find and simplify each of the following for

WINSTONCH [101]

Answer:

(A) f(x + h) = 4x² + 8xh + 4h² - 6x - 6h + 6

(B) f(x + h) - f(x) = 8xh + 4h² - 6h

(C) $\frac{f(x+h)-f(x)}{h}=8x+4h-6$

Step-by-step explanation:

* Lets explain how to solve the problem

- The function f(x) = 4x² - 6x + 6

- To find f(x + h) substitute x in the function by (x + h)

∵ f(x) = 4x² - 6x + 6

∴ f(x + h) = 4(x + h)² - 6(x + h) + 6

- Lets simplify 4(x + h)²

∵ (x + h)² = (x)(x) + 2(x)(h) + (h)(h) = x² + 2xh + h²

∴ 4(x + h)² = 4(x² + 2xh + h²) = 4x² + 8xh + 4h²

- Lets simplify 6(x + h)

∵ 6(x + h) = 6(x) + 6(h)

∴ 6(x + h) = 6x + 6h

∴ f(x + h) = 4x² + 8xh + 4h² - (6x + 6h) + 6

- Remember (-)(+) = (-)

∴ f(x + h) = 4x² + 8xh + 4h² - 6x - 6h + 6

* (A) f(x + h) = 4x² + 8xh + 4h² - 6x - 6h + 6

- Lets find f(x + h) - f(x)

∵ f(x + h) = 4x² + 8xh + 4h² - 6x - 6h + 6

∵ f(x) = 4x² - 6x + 6

∴ f(x + h) - f(x) = 4x² + 8xh + 4h² - 6x - 6h + 6 - (4x² - 6x + 6)

- Remember (-)(-) = (+)

∴ f(x + h) - f(x) = 4x² + 8xh + 4h² - 6x - 6h + 6 - 4x² + 6x - 6

- Simplify by adding the like terms

∴ f(x + h) - f(x) = (4x² - 4x²) + 8xh + 4h² + (- 6x + 6x) - 6h + (6 - 6)

∴ f(x + h) - f(x) = 8xh + 4h² - 6h

* (B) f(x + h) - f(x) = 8xh + 4h² - 6h

- Lets find $\frac{f(x+h)-f(x)}{h}$

∵ f(x + h) - f(x) = 8xh + 4h² - 6h

∴ $\frac{f(x+h)-f(x)}{h}=\frac{8xh + 4h^{2}-6h}{h}$

- Simplify by separate the three terms

∴ $\frac{f(x+h)-f(x)}{h}=\frac{8xh}{h}+\frac{4h^{2} }{h}-\frac{6h}{h}$

∴ $\frac{f(x+h)-f(x)}{h}=8x+4h-6$

* (C) $\frac{f(x+h)-f(x)}{h}=8x+4h-6$

4 0

2 years ago

if mrs wright had 90 pieces of candy how many pieces would she need in order to give each student the same amount as the 27 stud

Alisiya [41]

Answer:

90÷27= 3. hope it helps

3 0

3 years ago

Jivesh brought his Model B rocket on a camping trip near the top of a mountain. He wants to model how it descends down the mount

dybincka [34]

Answer:

i. 1.63 s

ii. The negative time cannot be used in this context

Step-by-step explanation:

i. Since h = −640t² and the rocket descends 1,690 m, h = -1,690 m (since there is a drop in height).

So, h = -640t²

t² = h/-640

t = √(- h/640)

Substituting h into the equation, we have

t = √(- h/640)

t = √[-(-1,690)/640]

t = √2.640625

t = 1.625

t ≈ 1.63 s

ii. So, the negative time cannot be used in this context because, the height drop is negative.

8 0

3 years ago

PLEASE HELP! Taylor wants to make granola bars for her hiking club. The recipe calls for 3/4 of a cup of raisins for 2 batches o

xeze [42]

Answer:

I think it would be the 2 bathchrs go by div and turn to a simple form and then overdue it by its times and calculate I hope it helps you I'm very sorry if it doesn't

8 0

3 years ago

What plus what equals 9,906

harina [27]

Answer:

Step-by-step explanation:9905+1=9906

5 0

3 years ago

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