Answer:
Since g(x) = f(2x), this means we substitute 2x in place of x for f(x):
g(x) = f(2x) = (2x)² = 4x²
Graphing this, the parabola is not moved from the parent graph f(x) = x², but the graph is compressed horizontally by a factor of 4.Step-by-step explanation:
If you know the whole price for 2.4 gallons, divide the whole price by 2.4 to get the cost for one, because when you multiply the cost for 1 by 2.4, you get the total.
7.56/2.4 = 3.15,
p= 3.15
Answer:
1/12 miles/minute
Step-by-step explanation:
To figure out how fast ellie runs in 1 minute, we can set up this equation:
5/6 = 10x (x being the speed per minute)
We can divide both sides by 10
5/60 = x
Then simplify the fraction to get:
1/12 = x
Answer:
68 plants.
Step-by-step explanation:
Let x represent the number of plants that Reuben bought from the nursery.
We have been given that Reuben bought a whole bunch of plants at the nursery the other day. Right away, five died. So number of plant left would be .
We are also told that then our dog dug up 2/9 of them. So number of plants left after dug-up would be .
Further a rabbit came and ate ½ of what was left. So number of plants left would be .
Since Reuben had only 7 plants left, so we will equate our expression with 7 and solve for x as:
Therefore, Reuben bought 68 plants at the nursery.
Answer:
0.9375 = 93.75% probability that at least one of the four children is a girl.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
We have the following sample space
In which b means boy, g means girl
b - b - b - b
b - b - b - g
b - b - g - b
b - b - g - g
b - g - b - b
b - g - b - g
b - g - g - b
b - g - g - g
g - b - b - b
g - b - b - g
g - b - g - b
g - b - g - g
g - g - b - b
g - g - b - g
g - g - g - b
g - g - g - g
Total outcomes
There are 16 total outcomes(size of the sample space)
Desired outcomes
Of these outcomes, only 1(b - b - b - b) there is not a girl.
So the number of desired outcomes is 15.
Probability:
0.9375 = 93.75% probability that at least one of the four children is a girl.