Answer:
We can find the system equivalent to this one by replacing one of the equations with a multiply of itself, so:
Let’s multiply y = x-2 by 2
2y=2x-4
A system equivalent to this one is
y = -2x^2 (this remains the same)
2y= 2x-4
Answer:
Please check the explanation.
Step-by-step explanation:
Given the English statement
''The sum of two and number is less than five''.
Let us breakdown the statement.
- The sum of two and number = 2 + n
We know that the less than symbol is denoted by '<' which is used for comparison.
Thus, the statement 'The sum of two and a number is less than five' is algebraically represented as:
Let us solve the algebraic expression.

Subtract 2 from both sides

Simplify

Thus, the solution is:

Please also check the attached solution line graph.
Answer:
<h2><em><u>The</u></em><em><u> </u></em><em><u>sun</u></em><em><u> </u></em><em><u>and</u></em><em><u> </u></em><em><u>the</u></em><em><u> </u></em><em><u>e</u></em><em><u>arth's</u></em><em><u> </u></em><em><u>interior</u></em><em><u> </u></em></h2>
Step-by-step explanation:
As,
The Earth has two basic sources of energy -
- <em><u>Earth's</u></em><em><u> </u></em><em><u>I</u></em><em><u>n</u></em><em><u>t</u></em><em><u>e</u></em><em><u>r</u></em><em><u>i</u></em><em><u>o</u></em><em><u>r</u></em><em><u>-</u></em><em><u> </u></em>hat reaching the Earth from the Sun (Solar Energy) and that reaching the surface of the Earth the Earth itself <em><u>(Internal or Geothermal Energy). </u></em>
- <em><u>Solar Energy</u></em> - reaches the Earth in the form of radiant energy, and makes up 99.987% of the energy received by the Earth.
You must first normalize this in order to use a Z-score table. To convert what you have into a Z score you must use this formula: (x- mean) /standard deviation. In your case (334-310)/12=2. So now you want the probability that a score is greater than 334, which in turn means you want P(Z>2)=1-P(Z<2)=1-.9772=0.0228=2.28%.
Replace F(x) with y
y=x^3-10x^2+24x
To find the roots replace y with 0.
0=x^3-10x^2-24x
Rewrite the equation as
x^3-10x^2+24x=0
Factor the left side
x(x-6)(x-4)=0
The solution is a result of
x=0, x-6=0, and x-4=0
The answer is:
x=0, 6, 4