Answer:
For #11 it is X≥-2. For #12 it is X<-1 I think
Step-by-step explanation:
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Answer:
Step-by-step explanation:
∠1 = 38 {Vertically opposite angles}
∠2 = 39 + 36 = 75
Exterior angle equals the sum of opposite interior angles.
x = ∠1 +∠2
= 38 + 75
x = 113
Answer:
a) d²y/dx² = ½ x + y − ½
b) Relative minimum
Step-by-step explanation:
a) Take the derivative with respect to x.
dy/dx = ½ x + y − 1
d²y/dx² = ½ + dy/dx
d²y/dx² = ½ + (½ x + y − 1)
d²y/dx² = ½ x + y − ½
b) At (0, 1), the first and second derivatives are:
dy/dx = ½ (0) + (1) − 1
dy/dx = 0
d²y/dx² = ½ (0) + (1) − ½
d²y/dx² = ½
The first derivative is 0, and the second derivative is positive (concave up). Therefore, the point is a relative minimum.
To find the amount of matches won:
120 – 50 = 70
So the baseball team has won 70 matches.
To convert this to a percentage:
(Matches won / Total matches ) x 100
(70/120) x 100 = 58.3% (rounded to 1 decimal place)
Answer:
40d + 10(1.5d) = 770 can be used to determine Martin's hourly pay.
Step-by-step explanation:
Given that:
Hourly rate = d
Earning to first 40 hours = 40d
Earning of more than 40 hours = 1.5d
Amount paid per week = $770
Hours worked = 50 hours
first 40 hours + 10 hours = total earned
40d + 10(1.5d) = 770
Hence,
40d + 10(1.5d) = 770 can be used to determine Martin's hourly pay.
