Let f(x) = -2x^2 and g(x) = 2x - 4. On the set of axes, draw the graphs of y = f(x) andy = g(x).
Using this graph, determine and state all values of x for which f(x) = g(x).

Answers

Answer 1

Answer: f(x) = -2x²
g(x) = 2x - 4

  f(x) = g(x)
-2x² = 2x - 4
-2x² - 2x = 2x - 2x - 4
-2x² - 2x + 4 = -4 + 4
-2x² - 2x + 4 = 0
-2(x²) - 2(x) - 2(-2) = 0
-2(x² - x - 2) = 0
  -2 -2
x² - x - 2 = 0
x² + 2x - x - 2 = 0
x(x) + x(2) - 1(x) - 1(2) = 0
  x(x + 2) - 1(x + 2) = 0
(x - 1)(x + 2) = 0
x - 1 = 0 or x + 2 = 0
+ 1 + 1 -  2 - 2
x = 1      or       x = -2
   f(x) = g(x)
  -2x² = 2x - 4
  -2(-2)² = 2(-2) - 4
     -2(4) = -4 - 4
  -8 = -8
or
  f(x) = g(x)
-2x² = 2x - 4
  -2(1)² = 2(1) - 4
  -2 = 2 - 4
-2 = -2

Solution Sets: {(-2, -8), (1, -2)}

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-(25) +(-30) -(10) +(-10) -(-50) show solution

Answers

Final answer:

The mathematical expression -(25) +(-30) -(10) +(-10) -(-50) simplifies to -25. This is calculated by simply applying the rules of arithmetic, including the rule that subtracting a negative is equivalent to adding.

Explanation:

The original equation is: -(25) +(-30) -(10) +(-10) -(-50). The calculation follows these steps:

Resolve each section individually, starting with -(25) which equals -25.
Next, +(-30) equals -30.
Then, -(10) equals -10.
Next, +(-10) equals -10.
Finally -(-50) equals +50 since subtracting a negative is equivalent to adding a positive.

Now, if we add all these numbers together, it equals:

-25 - 30 -10 -10 + 50 = -25.

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brainly.com/question/35421603

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A tablet weighs 1.23 pounds. What is its weight written as a mixed number?

Answers

The weight that should be written as the mixed number should be $1 (23)/(100)$

Given that,

The table weight is 1.23 pounds.

Here we need to find out the weight that should be written as the mixed number.

So first we have to understand what is the mixed number i.e. described below.

A mixed number should be the mix of the whole number & the fraction.

So, the weight written as the mixed number should be $1 (23)/(100)$

Learn more about the number here: brainly.com/question/17429689

If a tablet weighs 1.23 pounds, the weight written as a mixed number would be, 1 as the whole number and 23 is in the hundreds place, so you would write, 1 and 23/100.

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Answers

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Answers

The question is meaningless. It uses "kilowatt" completely incorrectly.

"Watt" and "kilowatt" are rates at which energy is used, NOT
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The question is a lot like saying that a car traveled for 5 hours at
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======================================

If a machine used energy at the rate of 4 kilowatts when it's
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If it runs for 5 hours, then it uses

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So you can schedule events or work meetings/conferences.

Here is an example below :

I'am in Tallahassee Fl and it's 12:25, but I need to be in Thomas'ville Ga at 1:00, it takes me 30 minutes to get there but it takes me 5 minutes to leave town , I would probably arrive sometime around 12:55 , this leaves me 5 minutes early.

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I really hope that this helps you a lot.

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