Frank has at least a month of jogging left. Seriously, he couldn't make it more than a quarter of a mile? Frank is clearly out of shape. His best bet at this point is to put down the Big Mac and hit the gym.
Also, here's the real answer:
2/3-1/4
8/12-3/12
5/12
Frank has 5/12 mile left
Y = -2.8x +69.4
Let y represent units of inventory, and x represent days since the last replenishment. We are given points (x, y) = (3, 61) and (13, 33). The line through these points can be described using the 2-point form of the equation of a line:
... y -y1 = (y2-y1)/(x2 -x1)(x -x1)
Filling in the given point values, we have ...
... y -61 = (33 -61)/(13 -3)(x -3)
Simplifying and adding 61, we get ...
... y = -2.8x +69.4
Answer:
left 1 unit, up 5 units
Step-by-step explanation:
To answer the question:
<em>Which translation maps the graph of the function f(x) = x² onto the function g(x) = x² + 2x + 6?</em>
we need to find the vertex of g(x), as follows:
- x-coordinate of the vertex (h): -b/(2a) = -2/(2*1) = -1
- y-coordinate of the vertex (k): y = (-1)² + 2(-1) + 6 = 5
Therefore, g(x) can be rewritten as:
g(x) = a(x - h)² + k
g(x) = (x + 1)² + 5
which is the equation of f(x) = x² translated 1 unit to the left and 5 units up.
Answer:
P (arts) = 0.25
P (psychology) = 0.25
P (geology) = 0.5
Step-by-step explanation:
Let the probability of choosing art = x
As given that she is equally likely to choose art or psychology and twice as likely to choose geology.
So,
P (arts) = x = P (psychology)
P (geology) = 2x
The sum of the probability = 1
So,
P (arts) + (psychology) + P (geology) = 1
x + x + 2x = 1
<u>x = 0.25</u>
<u>P (arts) = x = 0.25</u>
<u>P (psychology) = x = 0.25</u>
<u>P (geology) = 2x = 2*0.25 = 0.5</u>
Answer:
1716
Step-by-step explanation:
I'm pretty sure
