Answer:
17
Step-by-step explanation:
f(x) = 3x + 2
f(5) = 3(5) + 2
f(5) = 15 + 2
f(5) = 17
A=11.55in²<span><span><span>lLengthin</span><span>wWidthin</span></span></span>
1. The graph is a parabola.
2. The parabola opens up, because there's no negative number in front of 
.
3. The vertext is (5,-1), because of the vertex form.
This means that that -1 will be the least y-value used on the graph and the garph will open up from there.
The range is (-1, infinity) or { y | y > -1 }.
Answer: 97% growth rate.
Step-by-step explanation:
Hi, to answer this question we have to analyze exponential function:
A = P (1 + r) t
Where:
p = initial value
r = growth or decay rate (decimal form)
t= number of time intervals
A = value after t intervals
Replacing with the values given:
y=3400(1.97)^x
Where the term 1.97 = 1 + r
Solving for r:
1.97-1 = r
0.97 =r
Since the rate is positive, it is a growth rate.
To determine the percentage we have to multiply it by 100
0.97 x 100 = 97%
Feel free to ask for more if needed or if you did not understand something.
Answer:
the probability that a student takes theater given that the student is taking choir is 0.3
Step-by-step explanation:
The probability that a student takes theater and choir = 0.078
The probability that a student takes choir = 0.26
the probability that a student takes theater given that the student is taking choir ?
We can solve this using conditional probability.
P(B|A) = P(A and B)/P(A)
In our case the conditional probability will be:
P(Theater | Choir) = P(Choir and Theater)/ P(Choir)
Putting the given values
P(Theater | Choir) = (0.078) / 0.26
P(Theater | Choir) = 0.3
So, the probability that a student takes theater given that the student is taking choir is 0.3
