11 dramas and 11 comedies to get a different combination of the 3.
Answer:
See Attachment for Graph
Step-by-step explanation:
Given
Required
Determine the point of intersection
To do this, we simply equate both expressions of y
i.e.
Solve for x
Divide through by -5
<em>Hence, the point of intersection is 1.2</em>
Answer:
3.4 yd^3
Step-by-step explanation:
The volume is
V = l*w*h
V = 2 4/5 * 2 * 3/5
Changing the mixed number to an improper fraction
2 4/5 = ( 5*2+4)/5 = 14/5
V = 14/5 * 2 * 3/5
= 84/25
Changing back to a mixed number
3*25 = 75 with 9 left over
3 9/25
3.36 yd^3
To the nearest tenth
3.4 yd^3
Answer: Choice B
(x-1)(x^3+x^2+5x+6)
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Explanation:
The 1 in the upper left box means that x = 1 is a root of the original polynomial.
So this means x-1 is a factor of the original polynomial.
This is because x = 1 leads to x-1 = 0 after subtracting 1 from both sides.
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The 0 in the last position of the bottom row shows we got a remainder of 0.
Getting a remainder 0 tells us that (x-1) is a factor of the polynomial. This synthetic division table confirms our initial guess.
The other values in that bottom row (1, 1, 5, 6) form coefficients to the polynomial 1x^3+1x^2+5x+6, or simply x^3+x^2+5x+6
-------------------
So we know that (x-1) and (x^3+x^2+5x+6) are factors
Meaning that,
x^4+4x^2+x-6 = (x-1)(x^3+x^2+5x+6)
You can confirm this by expanding out the right hand side (distribution rule).
Answer:
$14.80(m) + $12(n) = $95.2
Solved:
$14.80(4) + $12(3) = $95.2
Step-by-step explanation:
m represents Adults ($14.80m) | n represents Children ($12n)
4 Adults times $14.80 equals $59.2
3 Children times $12 equals $36
Add $36 and $59.2 and you get $95.2
