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Lady bird [3.3K]
3 years ago
9

Stuck in it from a week!! Help please.

Mathematics
1 answer:
nadya68 [22]3 years ago
5 0
The answer is 49 because x = 1/7 and 1/7^-2 =49
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Find the difference quotient and simplify your answer. f(x) = 4x − x2, f(4 + h) − f(4) h , h ≠ 0
Anon25 [30]

The difference quotient and simplification will be    = [4 -h-2x]

The given equation is as follows:   f(x)= 4x - x²

For finding the quotient and further simplification we must follow the following steps:

[f(x + h) - f(x)] / h = [4(x + h) - (x + h)² - 4x + x²]/ h

<h3>What is simplification of algebraic operations?</h3>

Getting the functions in their lowest terms is known as simplification.

Brackets will get open and solved further;

[f(x + h) - f(x)] / h = [4(x + h) - (x + h)² - 4x + x²]/ h

[f(x + h) - f(x)] / h = [4h - h² - 2x]/ h  

Finally dividing the whole equation with h;

                                = [4 - h - 2x] 

Learn more about algebraic operations,

brainly.com/question/12485460

# SPJ1

7 0
1 year ago
Solve.<br> 4 x + 6 &lt; − 6<br><br> Thankyou In advance :&gt;
andrew-mc [135]

Answer:

x < -3

Step-by-step explanation:

Step 1: Subtract 6 from both sides.

  • 4x + 6 - 6 < -6 - 6
  • 4x < -12

Step 2: Divide both sides by 4.

  • \frac{4x}{4} < \frac{-12}{4}
  • x < -3

Therefore, the answer is x < -3.

6 0
3 years ago
Select the correct answer.
alekssr [168]

Using scientific notation, the correct statement is given by:

C. Corporation C owns the most land. Corporation A owns 8 times more land than corporation B.

<h3>What is scientific notation?</h3>

A number in scientific notation is given by:

a \times 10^b

With the base being a \in [1, 10).

Considering the amounts in scientific notation, the standard amounts in acres of each corporation are given as follows:

  • Corporation A: 3.2 \times 10^5 = 320000 = 320,000.
  • Corporation B: 4 \times 10^4 = 40000 = 40,000.
  • Corporation C: 4.3 \times 10^5 = 430000 = 430,000.

Hence corporation C owns the most land. 320,000/40,000 = 8, hence Corporation A owns 8 times more land than corporation B, and statement C is correct.

More can be learned about scientific notation at brainly.com/question/16394306

#SPJ1

3 0
2 years ago
What is the solution of this linear system? x+y=13
igor_vitrenko [27]

Answer:

The solution of the linear equation is: (6,7)

Step-by-step explanation:

This being that:

x + y = 13

1/2x + y = 10

What you do in order to find the solution is either (2 ways):

- Substitution

- Elimination

I'm sure that either way, you'll get the same thing. I used: Substitution.

To do this choose either if you want to find [x] or [y] first, then substitute it in. I will choose to find [x] first.

<h2>x + y = 13</h2><h2><u>           - y </u>    </h2><h2>x = 13 - y</h2>

Now substitute it into:  

1/2x + y = 10

1/2(13 - y) + y = 10

1/2(13 -y) + y= 10

<h2>Then to get rid of fraction, instead of dividing, you multiply with reciprocal</h2><h2>1/2 · 2/1 (They cancel out) Leaving you with:</h2><h3 /><h3>(13 - y) 2(y) = 2(10)</h3><h3>(Everything is multiplied, except for 13 - y, because it had parenthesis to protect it.)</h3><h3>13 - y + 2y = 20</h3><h3 /><h2>13 + y = 20</h2><h2><u>- 13       - 13</u></h2><h2>           <u>y = 7</u></h2><h2 /><h2>You now have your [y] for your coordinate.</h2><h2>(x, 7), now time to find your [x]</h2><h2 />

Now you substitute your [y] into your equation:

1/2x + (7) = 10

<h2>1/2x + 7 = 10</h2><h2><u>          -7 = -7</u></h2><h2>1/2x = 3</h2><h2>(To get rid of fraction, multiply on both sides with reciprocal)</h2><h2>1/2 cancels out with 2/1</h2><h2>x = 2(3)</h2><h2>x = 6</h2><h2>You now have your [x] coordinate.</h2><h2 /><h2>This is your coordinate: </h2><h2>(6,7)</h2><h2></h2>

 

4 0
3 years ago
How can bees dying affect all four spheres of the Earth? (lithosphere, biosphere, atmosphere, and hydrosphere)
labwork [276]

Answer:

Step-by-step explanation:

For example, the atmosphere mixes down into the other spheres and releases precipitates; the hydrosphere overlaps onto land surfaces and water vapor rises up into the atmosphere; the biosphere reaches up into the atmosphere, down into soils and rock, and throughout the oceans, exchanging gases, water and nutrients

7 0
3 years ago
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