Answer:
Step-by-step explanation:
I can guess what the instructions are, but it'd be helpful if you were to share them.
3x^2 - 5x - 1 = 0 is a quadratic with coefficients {3, -5, -1}. Find the discriminant b^2 - 4ac: 25 - 4(3)(-1) = 13.
Because the discriminant is positive, we know we have two unequal real roots here. Continuing with the quadratic formula, we obtain:
-(-5) ±√13 5 ± √13
x = ----------------- = ----------------
2(3) 6
Assuming that the bottle contained only herbal remedy, we have 120-54=66. 66/2=33 uses left
9514 1404 393
Answer:
a. One solution
Step-by-step explanation:
These are two linear equations with different x-coefficients. They have one solution.
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<em>Additional comment</em>
If the x-coefficients are the same, the system may have 0 or infinite solutions, depending on the constants. It is not possible for a system of linear equations to have exactly two solutions.
Solution
The counselor has 12 electives courses (e.g. art, band, PE, etc.) to choose from and must select 2 ordered classes for each 6th grade student.
Let S be the sample space.
Then, n(S) = 12C2 = (12 x 11) ÷ (2 x 1 ) = 132 ÷ 2 = 66

Sixty six (66) ways can the counselor arrange the last 2 periods of the day for the 6th grade students
Answer:
Step-by-step explanation:
cos43=60/AC
AC=60/cos43=82.04
cos27=60/BC
BC=60/cos27=67.34
sin(90-43)/BC=sin(43+27)/AB
AB=BCsin70/sin47
AB=67.34sin70/sin47
AB=86.522
P=86.522+67.34+82.04
P=235.9m