A flagpole stands perpendicular to the ground. It is supported by a 20-foot cable that runs from the top of the flagpole to the
1 answer:
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Answer:
The price of the television before taxes is $420
Step-by-step explanation:
* Lets explain how to solve the problem
- The purchased price = cost price + taxes
- A new television set was recently purchased for the common room
in a residence hall for $436.80
- This price including tax
- The tax rate is 4%
- We need to find the price of the television before taxes
* <em>Lets solve the problem</em>
- Assume that the price of the television before tax is 100%
∵ The tax rate is 4%
∵ The price after tax = price before tax + tax
∵ The price before tax = 100%
∴ The price after tax = 100% + 4% = 104%
∵ 104% equivalent to $436.80
∴ 100 ⇒ ?
104 ⇒ 436.80
- <em>By using cross multiplication</em>
∴ ? =
∴ The price of the television before taxes is $420
Answer:
Step-by-step explanation:
There are 3 ways to find the other x intercept.
1) Polynomial Long Division.
Divide x^2 - 3x + 2 by the binomial x - 2, because by the Factor Theorem if a is a root of a polynomial then x - a is a factor of said polynomial.
2) Just solving for x when y = 0, by using the quadratic formula.
.
So the other x - intercept is at (1, 0)
3) Using Vietta's Theorem regarding the solutions of a quadratic
Namely, the sum of the solutions of a quadratic equation is equal to the quotient between the negative coefficient of the linear term divided by the coefficient of the quadratic term.
And the product between the solutions of a quadratic equation is just the quotient between the constant term and the coefficient of the quadratic term.
These relations between the solutions give us a brief idea of what the solutions should be like.