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

You might be interested in

Abigail tosses a coin off a bridge into the stream below. The distance, in feet, the coin above the water is modeled by the equa

melomori [17]

Answer:

7 seconds

Step-by-step explanation:

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

$y=-16x^2+96x+112$

where $x$ is time taken to cover the distance

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.

6 0

3 years ago

Which is the graph of the solution set of −2x + 5y > 15? Image for option 1 Image for option 2 Image for option 3

Masteriza [31]

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.