Answer:
The blank is 3
Step-by-step explanation:
1 - Give the blank a variable
x = our blank
2 - Write it out
![\frac{5}{7} + \frac{x}{6} = \frac{51}{42}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B7%7D%20%2B%20%5Cfrac%7Bx%7D%7B6%7D%20%3D%20%5Cfrac%7B51%7D%7B42%7D)
3 - Get the denominators equal
![\frac{5}{7}(\frac{6}{6}) +\frac{x}{6}(\frac{7}{7}) = \frac{51}{42} \\\frac{30}{42}+\frac{7x}{42} = \frac{51}{42}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B7%7D%28%5Cfrac%7B6%7D%7B6%7D%29%20%2B%5Cfrac%7Bx%7D%7B6%7D%28%5Cfrac%7B7%7D%7B7%7D%29%20%3D%20%5Cfrac%7B51%7D%7B42%7D%20%5C%5C%5Cfrac%7B30%7D%7B42%7D%2B%5Cfrac%7B7x%7D%7B42%7D%20%3D%20%5Cfrac%7B51%7D%7B42%7D)
4 - Simplify
![\frac{30+7x}{42} = \frac{51}{42} \\ \frac{30+7x}{42} = \frac{51}{42}](https://tex.z-dn.net/?f=%5Cfrac%7B30%2B7x%7D%7B42%7D%20%3D%20%5Cfrac%7B51%7D%7B42%7D%20%5C%5C%20%5Cfrac%7B30%2B7x%7D%7B42%7D%20%3D%20%5Cfrac%7B51%7D%7B42%7D)
5 - Solve for the numerators
30+7x = 51
-30 -30
7x = 21
x = 3
The final stock price is $48.54
The answer is approx. 10.8 per hour.
If you want to round it up, it would be 11. I prefer you not to round though as this is Money. Money should have decimals included.
To be a function, it has to pass the vertical line test, which means a vertical line drawn anywhere in the graph should cut the graph only once, not more.
To be a one-to-one function, it has to pass the vertical line test as well as the horizontal line test, which means that a horizontal line drawn anywhere in the graph should cut the graph only once, not more.
<em>Of course, it passes the vertical line test, so its a function. </em>
<em>Does it pass the horizontal line test? </em><em>NO! </em><em>As shown in the attached picture, the blue line (horizontal line) cuts the graph at 3 places. We therefore eliminate choices A and B. We can eliminate choice C because nowhere is it required a function to pass through the origin for it to be one-to-one. Hence, the answer is D (blue line shows this).</em>
<em>ANSWER: D</em>
Answer:
2x -7
2x 4x² -14x
-1 -2x +7
Step-by-step explanation:
4x²-16x+7 factors as
(2x-7)(2x-1)
So the grid would be:
2x -7
2x 4x² -14x
-1 -2x +7