An equation in the form of slope intercept is written as y=mx+b. That means that we need to get y positive, which we can do by adding 3y to each side, and then subtracting 3 from each side to get y by itself. Doing all of these steps, the equation becomes 3y=5x-3. But, we're not done because we still need to get y equal to one, which we can do by dividing each side of the equation by 3. This makes the equation become y=5/3x-1.
The graph of the equation looks like this:
Three consecutive odd integers would be x, x+2, and x+4 assuming x is an odd integer. The smallest of these is x. Two times x is 2x. The greatest integer is x+4. Three times this is 3 (x+4), and if you distribute you get 3x+12. If 2x exceeds this by 15, you would make it 3x+12-15. If you add the like terms, 12+(-15) is -3. So, you have 2x=3x-3. Subtract 3x from both sides. 2x-3x is -1x, or -x. Now we have -x=-3. Divide by -, or -1 on both sides. Now we have x=3. You can substitute x for 3 for any of the consecutive odd integers to find their value.
<span>A quarter is equivalent to 25 cents or $0.25 and a nickel is equal to 5 cents or $0.05. In the given in this item, if there are x nickels then, there are x + 7 quarters. With these and the total amount known, we can now compute for the value of x.
(x)(0.05) + (x + 7)(0.25) = 2.65
Simplifying,
0.05x + 0.25x + 1.75 = 2.65
Simplifying further,
0.3x = 0.9
The value of x from the equation is 3. Hence, there are 10 quarters.</span>
They are at the same position at 0.5 seconds because with respect to the ocean's surface, they are both 9 feet away.
Hope this helps!!
