Hi!
So, x is going to be the price of one apple. We need to solve for x, so let's start with getting an equation up and running.
<em>3x + 0.84 = 5x
Now, we're going to subtract three from both sides.
3x - 3x + 0.84 = 5x - 3x
Now, we're going to divide 2 from both sides!
0.84 / 2 = 2x / 2
And our final answer is... 0.42 for each apple! =)
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Answer:
<em>The aircraft has a height of 1000 m at t=2 sec, and at t=8 sec</em>
Step-by-step explanation:
<u>Finding Exact Roots Of Polynomials</u>
A polynomial can be expressed in the general form
The roots of the polynomial are the values of x for which
Finding the roots is not an easy task and trying to find a general solution has been discussed for centuries. One of the best possible approaches is trying to factor the polynomial. It requires a good eye and experience, but it gives excellent results.
The function for the trajectory of an aircraft is given by
We need to find the values of t that make H=1000, that is
Dividing by -0.5
Rearranging, we set up the equation to solve
Expanding some terms
Rearranging
Factoring
This produces our first root t=2. Now let's factor the remaining polynomial
This gives us the second real root t=8. The other two roots are not real numbers, so we only keep two solutions
<em>Answer: 12 outcomes</em>
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<em>Step-by-step explanation:</em>
<em>Explanation: When you flip a coin there are two possible outcomes (heads or tails) and when you roll a die there are six outcomes(1 to 6). Putting these together means you have a total of 2×6=12 outcomes.</em>
We need to know how many weeks there are is a year , we know a year is 365 days and a week is 7 days so we do this to get the number of weeks 365÷7=52 weeks and 1 day , then we do 52÷6 to know the number of times she will pay : she will pay 8 times in a year for a total of 8x156=1248$ and she will also have an additional 4 weeks and one day with nothing to do (she cannot pay one more time as she still did not finish her 9th period)
undo what's done to x:
1 - 3 < x + 3 - 3 < 4 - 3, so
<em>-2 < x < 1</em>
this SHOULD be your answer-- if it's not for some reason, let me know.