Answer:
7) a = 60; b = 100
8) c = 20
9) d = 45
Step-by-step explanation:
7)
a + 120 = 180
a = 60
b + 80 = 180
b = 100
8)
5c + 4c = 180
9c = 180
c = 20
9)
3d + d = 180
4d = 180
d = 45
Answer:
a) 
, b) 
.
Step-by-step explanation:
a) The graphic is enclosed to the problem. By visual inspection, an absolute maximum is found.
b) The exact method consists in the application of the First and Second Derivative Tests. First and second derivatives are, respectively:
The First Derivative Test consists in equalizing the first derivative to zero and solving the expression:
According to the second derivative, the critical point leads to a maximum. The remaining component is determined by evaluation the polynomial:
The exact solution is , indicating that graphic solution leads to a good approximation.
Answer:
the solutions are (3, 7) and (-1, -1)
Step-by-step explanation:
Insert the " = " symbol between the two equations, obtaining:
y = x^2 - 2 = y = 2x + 1
Then x^2 - 2 = 2x + 1, or
x^2 - 2x - 3 = 0, and this can be factored into (x - 3)(x + 1) = 0.
Thus, the x values that satisfy this system are {-1, 3}.
Use y = 2x + 1 to find the corresponding y values:
y = 2(-1) + 1 = -1
and
y = 2(3) + 1 = 7
Then the solutions are (3, 7) and (-1, -1)
Answer:
regular number; base
Step-by-step explanation:
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