the discriminant formula is b^2-4ac
so plug the values from each equation into the formula and solve, the result is the value of the discriminant
if the number is negative, there are no real roots/x-int
if it is 0 there is one real root/x-intercepts
if it is positive it has 2 real roots/x-int
and to find the actual solutions you have to plug the values into the quadratic formula
Answer:
1.Factor both the numerator and the denominator.
2.Write as one fraction.
3: Simplify the rational expression.
4: Multiply any remaining factors in the numerator and/or denominator.
Step-by-step explanation:
1. She could get 9 envelopes for 4 dollars each (or the other way around)
2. She could get 12 envelopes for 3 dollars each (or the other way around)
3. She could get 18 envelopes for 2 dollars each (or the other way around)
The probability of choosing two yellow marbles = 5/26
Step-by-step explanation:
Step 1 :
Given
Total number of marbles in the bag = 13 marbles
Number of yellow marbles = 6.
We choose 2 marbles from the bag without replacing and need to determine the probability that both are yellow.
Step 2 :
Probability of finding yellow marble in the first try = Number of yellow marbles / Total number of marbles = 
Once the yellow marble is selected we have 5 yellow marbles among 12 remaining marbles in the bag.
Probability of finding yellow marble in the second try = Number of yellow marbles / Total number of marbles = 
Step 3:
P(yellow in first 2 tries) = P(yellow in first try) * P(yellow in second try)
P(yellow in first 2 tries) = 
= 
Step 4:
Answer:
The probability of choosing two yellow marbles = 5/26
The amount of water that will fill the tank is 11100 cu.ft to the nearest hundredth.
<h3>What is a Cylindrical figure ?</h3>
A cylinder is a three dimensional figure with two identical circular faces at each end , and a curved surface.
It does not have an edges or vertices.
It is given in the question that
A cylinder with height 14 feet and radius 25 feet.
The volume of a cylinder.
V = π252(14)
The water than can be filled is equal to the volume of the cylinder
V = 11088 cu.ft
There the amount of water that will fill the tank is 11100 cu.ft to the nearest hundredth.
To know more about Cylindrical Figure
brainly.com/question/10369419
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