Step-by-step explanation:
(7 + x) / 3 = 2x - 5
7 + x = 3(2x - 5) (multiply 3 on both sides)
7 + x = 6x - 15 (distributive property)
5x = 22 (arrange like terms)
x = 4.4 (divide 5 on both sides)
Answer:
5/11×5/11= 25/121 so the answer is 25/121
Nothing to drag; nowhere to drag it to.
Park A's population can be modeled by
.. y = 150*1.2^x
Park B's population can be modeled by
.. y = 150*0.8^x
Answer:
f(3) = 425
f(3) is the elevation of a mountain climber after 3 hours of climbing.
Step-by-step explanation:
So we are given a line that relates time to elevation. We are also given that the equation of the line is f(x) = 125x + 50. From looking at the graph given, we can see that x is the time, in hours, and y, or f(x), is the height, in feet. We are asked to find f(3) and interpret it's meaning.
To find f(3), we would have to find what f(x) is when x = 3. To do this, lets plug in 3 for x into the given equation:
f(3) = 125(3) + 50 = 425
So f(3) = 425. Now, we already know that x is the time in hours and y, or f(x), is the elevation in feet. We set x to 3 when solving for f(3). We have also found that f(3), or y when x = 3, is 425. So f(3), or 425, is the elevation after 3 hours.
I hope you find my answer and explanation to be helpful. Happy studying.
Answer:
Barbara's speed in clear weather is 
and in the thunderstorm is 
.
Step-by-step explanation:
Let 
be the speed and 
be the time Barbara drives in clear weather, and let 
be the speed and 
be the time she drives in the thunderstorm.
Barbara drives 22 mph lower in the thunderstorm than in the clear weather; therefore,
(1). 
Also,
(2). 
(3). 
,
and
(4). 
From equations (2) and (3) we get:
putting these in equation (4) we get:
and substituting for from equation (1) we get:
This equation can be rewritten as
which has solutions
We take the first solution 
because it gives a positive value for 
.
Thus, Barbara's speed in clear weather is and in the thunderstorm is .
