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Temka [501]
3 years ago
9

The sum of the ages of Jon and his brother is 40. Jon’s age is 8 more than his brother’s age. Find the age of each.

Mathematics
1 answer:
slavikrds [6]3 years ago
6 0
Jon: 24
his brother: 16
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Answer:

7 seconds

Step-by-step explanation:

Distance of the coin above the water is modeled by the equation

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Now equating with zero.

0=-16x^2+96x+112\\\Rightarrow 16x^2-96x-112=0\\\Rightarrow x=\dfrac{-\left(-96\right)\pm \sqrt{\left(-96\right)^2-4\times \:16\left(-112\right)}}{2\times \:16}\\\Rightarrow x=7, -1

So, time taken by the coin to hit the water is 7 seconds.

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Which is the graph of the solution set of −2x + 5y > 15? Image for option 1 Image for option 2 Image for option 3
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To make that graph you follow these steps.
1) Set the cartesian coordinate system:
- vertical axis: y
- horizontal axis: x
- positive x-semi axis: to the right
- negative x-semi axis: to the left
- positive y-semi axis: upward
- negative y semi axis: dwonward

2) solve the inequality for y:
given:                       -2x + 5y > 15
transpose-2x:            5y > 15 + 2x
divide by 5:                  y > 3 +  (2/5)x

3) Graph

- draw the line y = 3 + (2/5)x, using a dotted line (i.e. - - - - - -)
- remember that 3 is the y intercept, and 2/5 is the slope
- the line is dotted because the solution does not include the points in the line.

- the solution is the region above and to the left of the dotted line.

4) See the figure attached for better visualization: the pink region is the solution of the inequality.

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