Answer:
(2) Real and equal (i.e., repeated roots), if D = 0.
Step-by-step explanation:
.In a quadratic equation ax2 + bx + c = 0, if discriminant is D= b2 - 4ac, then roots of the quadratic equation are
Real and equal (i.e., repeated roots), if D = 0.
If the D > b² - 4ac then it's real and distinct.
The slope-intercept form:
m - slope
b - y-intercept
We have m = 2 and b = 3. Substitute:
Answer:
coin flip is 1/2
2 numbers are less than 3 so 2/6 = 1/3
1/2 x 1/3 = 1/6 probability total
240 x 1/6 = 40
answer is C) 40
Step-by-step explanation:
Well this is simple a calculator type problem...but if you are curious as the the algorithm used by simple calculators and such...
They use a Newtonian approximation until it surpasses the precision level of the calculator or computer program..
A newtonian approximation is an interative process that gets closer and closer to the actual answer to any mathematical problem...it is of the form:
x-(f(x)/(df/dx))
In a square root problem you wish to know:
x=√n where x is the root and n is the number
x^2=n
x^2-n=0
So f(x)=x^2-n and df/dx=2x so using the definition of the newton approximation you have:
x-((x^2-n)/(2x)) which simplifies further to:
(2x^2-x^2+n)/(2x)
(x^2+n)/(2x), where you can choose any starting value of x that you desire (though convergence to an exact (if possible) solution will be swifter the closer xi is to the actual value x)
In this case the number, n=95.54, so a decent starting value for x would be 10.
Using this initial x in (x^2+95.54)/(2x) will result in the following iterative sequence of x.
10, 9.777, 9.774457, 9.7744565, 9.7744565066299210578124802523397
The calculator result for my calc is: 9.7744565066299210578124802523381
So you see how accurate the newton method is in just a few iterations. :P
Answer:
Total pints of cream will they need for the pasta = 7 pints
Step-by-step explanation:
Given - Pasta Place needs to make pasta with garlic cream sauce for 80 guests at a party. One batch of pasta calls for 3 cups of cream and feeds 10 people. The restaurant already has 5 pints of cream in the fridge.
To find - How many more pints of cream will they need for the pasta?
Solution -
10 people = 3 cups of cream
⇒80 people = 8×3 = 24 cups of cream
Now,
We know that,
1 cup = 0.5 pints
⇒24 cup = 24×0.5 = 12 pints.
Now,
Given that, The restaurant already has 5 pints of cream in the fridge.
So,
Total pints more needed = 12 - 5 = 7 pints.
∴ we get
Total pints of cream will they need for the pasta = 7 pints
