Let <em>f(x)</em> = <em>x</em>³ + <em>x</em> - 5. <em>f(x)</em> is a polynomial so it's continuous everywhere on its domain (all real numbers). Since
<em>f</em> (1) = 1³ + 1 - 5 = -3 < 0
and
<em>f</em> (2) = 2³ + 2 - 5 = 5 > 0
it follows by the intermediate value theorem that there at least one number <em>x</em> = <em>c</em> between 1 and 2 for which <em>f(c)</em> = 0.
Answer:
The required expression is
Step-by-step explanation:
Consider the provided information.
A tissue can be 0.000075 meters thick and we need to represent it into scientific notation.
Steps to write a number in scientific notation.
- Move the decimal place to the right so that the new number from 1 up to 10.
- Determine the exponent, the exponent is the number of times you moved the decimal.
Now, consider the number 0.000075
Move the decimal point to 5 place right so that the new number from 1 up to 10.
Now, put the exponent the number of times you moved decimal.
Hence, the required expression is
For this problem, let x be the number of children and y for adults. Formulate the equations: 1st equation, x + y = 3,200 and 2nd equation 5x + 9y = 24,000. Re-arrange 1st equation into x = 3200 - y. Then, substitute into 2nd equation, 5(3,200-y) + 9y = 24,000. Then, solve for y. The 16,000 - 5y + 9y = 24000. Final answer is, y = 2000 adults went to watch the movie.
Answer:
1 + 1 = 2
Step-by-step explanation:
1 and 1 = 2 1 and 1 =2 1+1=2 1+1=2
Answer:
Step-by-step explanation:
To find the solutions of the quadratic equation given in the problem, you can apply the proccedure shown below:
- Subtract 40 from both sides of the equation.
- Multiply both sides of the equation by -1
- Apply square root to both sides of the equation.
Therefore, by applyin the steps above, you obtain: