As the mapping suggests, the first (x) coordinate is decreased by 3, and the second (y) coordinate is increased by 2. So, given the inputs, you have
And yes, this rule is a function: it has a starting set (the domain), which is all possible couples 
, and a landing set (the codomain), which is again composed by the couples . Since for every point in the domain you have one and only one output, this rule is a function.
It would take 9 seconds.
Substituting the values into the equation, we have:
0 = -16t² + 138t + 55
The quadratic formula is:
Inserting our information we have:
Answer:
p = 10.8
Step-by-step explanation:
Given that p is directly proportional to (p-1)² and p is always positive, then;
q = k (p-1)²
If q = 30 and p = 7
30 = k(7-1)²
30 = 6²k
30 = 36k
5 = 6k
k = 5/6
To get p when q = 80
q =k (p-1)²
80 = 5/6((p-1)²
480 = 5(p-1)²
480/5 = (p-1)²
(p-1)² = 96
p-1 = √96
p-1 = 9.8
p = 9.8 + 1
p = 10.8
B) 6
Ch 10.82
Answer:
Step-by-step explanation:
Let X be the accelerated life test on a large number of type-D alkaline batteries revealed that the mean life for a particular use before they failed
X is NOrmal with mean =19, sigma = 1.2
For 95% critical value = ±1.96
Margin of error = ±1.96*1.2
=±2.352
Confidence interval 95% = Mean ±2.352
=(16.648, 21.352)
Answer:
B
Step-by-step explanation:
1/2(6+2)3
1/2(8)3
1/2(24)
12 cm ^2
