<u>Part</u><u> </u><u>1</u>
Subtracting 5 from both sides yields
<u>Part</u><u> </u><u>2</u>
When the output, f(x) is 2, we can substitute that in to obtain
So first we want to find how far away they were after one hour.
Assuming they were going at a steady rate:
Since:
320 miles = distance traveled in 2 hours
We can divide both sides by 2 to get:
160 miles = distance traveled in 1 hour.
So we now know that the trains were 160 miles apart after 1 hour.
So we can assign the eastbound train a variable for its speed right now, or just x. And then the westbound train would be x + 18.
So, since the rate is in miles per hour, and they traveled 160 miles in one hour, we can say:
x + x + 18 = 160 miles
Then just solve.
2x + 18 = 160
-18 -18
2x = 142
/2 /2
x = 71
Since x equals the rate of the eastbound train, and we're looking for the westbound train, just add 18 to 71 because the westbound train was going 18 mph faster than the eastbound train.
18 + 71 = 89
So the rate of the westbound train is 89 mph.
Answer:
The number of sleeping bags bought is 17.
Step-by-step explanation:
If we let "x" be the number of the sleeping bags that were bought, we can make the following equation....
(5x)(12) + (x)(45) = 1785
By solving the equation we get....
(5x)(12) + (x)(45) = 1785
60x + 45x = 1785
105x = 1785
x = 1785 / 105
x = 17
There for the number of sleeping bags bough is 17.
Answer:
(-2, 1)
Step-by-step explanation:
Putting in -2 as an input basically means plugging in -2 in the place of x
So it would result in this
y = -3(-2) - 5
Remember that multiplying a negative number by another negative number results in a positive number
y = 6 - 5
y = 1
So we have
x = -2
y = -1
Making the answer (-2, 1)
