The key is Esther travelled the same distance - x - in both her morning and evening commute.
45(time she took in the morning, or p) = x
30(time she took in the evening, or q) = x
Therefore 45(p) = 30(q), or divide both sides by 5 and get 9(p) = 6(q). I know you can divide it further, but these numbers are small enough and it's not worth the time.
Since the whole trip took an hour, (p + q) = 60min, and so, p = 60-q.
Therefore 9(60-q) = 6q or 540-9q = 6q. So 540 = 15q, which makes q = 36. If q = 36, then by (p+q)=60, p (the time she took in the morning) must equal 24.
45 miles per hour, her speed in the morning, times (24/60) hours, her time, makes 18 miles travelled in the morning. If you check, 30 miles per hour times (36/60) hours also makes 18 miles in the evening.
<span>Hope that makes a little sense. And I also hope it's right</span>
= [(4/5)/3] * 10 pounds
= (4 * 10)/15 pounds
= 40/15 pounds
= 8/3 pounds
= 2 2/3 pounds
Answer: 2 2/3 pounds
Answer:
x = 9. 177
Step-by-step explanation:
Answer:
First, let's write the general transformations:
a) A vertical stretch by a factor of 3.
f(x) ---> 3*f(x)
b) A reflection in the y-axis.
3*f(x) ----> 3*f(-x)
c) A translation of 2 units to the left.
3*f(-x) ----> 3*f(-x + 2)
then we know that:
g(x) = 3*f(-x + 2)
and f(x) = x^2 - x + 1
Then:
g(x) = 3*( (-x + 2)^2 - (-x + 2) + 1)
g(x) = 3*( x^2 - 4*x + 4 +x - 2 + 1) = 3*(x^2 - 3*x + 3)
g(x) = 3*x^2 - 9*x - 9
