HELP ME WITH MY MATH
2 answers:
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Step-by-step explanation:
We have,
If a quadratic equation with real coefficients has a discriminant of -36.
The general form of quadratic equation is :
The discriminant of this equation is :
If D=0, it will have 1 real roots
If D>0, it will have 2 real roots
If D<0, it will have no real roots
We have,
D = -36 < 0, so, the quadratic equation will have no real roots.
Answer:
Step-by-step explanation:
The volume of a cube can be found with this formula:
Where "s" is the lenght of any edge of the cube.
The formula for calculate the volume of a rectangular prism is:
Where "l" is the lenght, "w" is the width and "h" is the height.
We need to find the volume of a cube box:
To find the volume of the shipping box, first we must convert the mixed number to an improper fraction:
Then the volume of the shipping box is:
Now, in order to find the number of cube boxes can Haley fits into a shipping box, you must divide the the volume of the shipping box by the volume of one cube. This is:
This is a problem of Permutations. We have 3 cases depending on the number of B's. Since no more than three B's can be used we can use either one, two or three B's at a time.
Case 1: Five A's and One B
Total number of letters = 6
Total number of words possible =
Case 2: Five A's and Two B's
Total number of letters = 7
Total number of words possible =
Case 3: Five A's and Three B's
Total number of letters = 8
Total number of words possible =
Total number of possible words will be the sum of all three cases.
Therefore, the total number of words that can be written using exactly five A's and no more than three B's (and no other letters) are 6 + 21 + 56 = 83