Answer:
Step-by-step explanation:
Brain correctly use a method of completing the square to solve the equation:
His First Step is to: Take the Constant Term to the Right Hand Side
The Next Step Would be to:
- Divide the Coefficient of x by 2
- Square It
- Add it to both Sides
In this case, the Coefficient of x = 7
- Divided by 2 =
- Squaring It, we have:
It is this number that is added to both sides in the manner below:
Answer:
The correct answer is zero.
Step-by-step explanation:
A random variable generator selects an integer from 1 to 100 both inclusive leaves us with total number of possible sample as 101.
We need to find the probability of selecting the integer 194.
The probability of selecting 194 from the sample is zero as the point does not exist in the random variable generator. Thus we can never pick 194 from the random variable generator giving us the probability a zero.
Answer:
(x+1)(2x-3)(3x-5)
Step-by-step explanation:
$97.20 divided by $9.25 is 10 hours
Answer:
f(n) = -n^2 -3n +5
Step-by-step explanation:
Suppose the formula is ...
f(n) = an^2 +bn +c
Then we have ...
f(1) = 1 = a(1^2) +b(1) +c
f(2) = -5 = a(2^2) +b(2) +c
f(3) = -13 = a(3^2) +b(3) +c
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Here's a way to solve these equations.
Subtract the first equation from the second:
-6 = 3a +b . . . . . 4th equation
Subtract the second equation from the third:
-8 = 5a +b . . . . . 5th equation
Subtract the fourth equation from the fifth:
-2 = 2a
a = -1
Then substituting into the 4th equation to find b, we have ...
-6 = 3(-1) +b
-3 = b
and ...
1 = -1 +(-3) +c . . . . . substituting "a" and "b" into the first equation
5 = c
The formula is ...
f(n) = -n^2 -3n +5
