Answer:
x = 10
Step-by-step explanation:
2x/3 + 1 = 7x/15 + 3
<em><u>(times everything in the equation by 3 to get rid of the first fraction)</u></em>
2x + 3 = 21x/15 + 9
<em><u>(times everything in the equation by 15 to get rid of the second fraction)</u></em>
30x+ 45 = 21x + 135
<em><u>(subtract 21x from 30x; subtract 45 from 135)</u></em>
9x = 90
<em><u>(divide 90 by 9)</u></em>
x = 10
<h2>
Another solution:</h2>
2x/3 + 1 = 7x/15 + 3
<u><em>(find the LCM of 3 and 15 = 15)</em></u>
<u><em>(multiply everything in the equation by 15, then simplify)</em></u>
10x + 15 = 7x + 45
<u><em>(subtract 7x from 10x; subtract 15 from 45)</em></u>
3x = 30
<em><u>(divide 30 by 3)</u></em>
x = 10
Answer:
14.4
Step-by-step explanation:
Answer:
64
Step-by-step explanation:
As given, the diatance at any point after t seconds is given by
s(t)=16t²
At t=2 seconds then
s(2)=16*2²=16*4=64
Since we're not given the units, it may be feet, inches, meters, kilometers, miles etc. Therefore, the diatance is equal to 64 units
The quadratic equation that best represents his model of the relationship between stock value and time is given by:

The graph is given at the end of the answer.
<h3>What is the equation of a parabola given it’s vertex?</h3>
The equation of a quadratic function, of vertex (h,k), is given by:

In which a is the leading coefficient.
In this problem, the maximum value was a share value of $18 after 10 days, hence the vertex is:
(h,k) = (10,18).
Thus:

Since the initial price was of $8 per share, we have that:




Hence the equation is:

At the end of the answer, the sketch of the graph is given.
More can be learned about quadratic equations at brainly.com/question/24737967