Answer:
200
Step-by-step explanation:
C = 0.007x² − 2.8x + 100
There are two ways we can find the minimum. The first is by noticing that this is an upwards parabola, so the minimum is at the vertex. For y = ax² + bx + c, the vertex is at x = -b/(2a).
x = -(-2.8) / (2 × 0.007)
x = 200
Alternatively, we can minimize C using calculus. Take the derivative with respect to x and set to 0:
dC/dt = 0.014x − 2.8
0 = 0.014x − 2.8
x = 200
Answer:
15
Step-by-step explanation:
to get sides JK and ML, you have to use ratios. the ratio is 3:2 so therefor ml and jk are 4.5
Then you add 4.5 and 4.5 and 3 and 3 to get you 15
9514 1404 393
Answer:
C) -1 +21i
Step-by-step explanation:
For many purposes, "i" can be treated as though it is a variable. Collect terms in the usual way.
(-2 +12i) -(-1 -9i) . . . . given
= -2 +12i +1 +9i . . . . use the distributive property to eliminate parentheses
= (-2+1) +(12i +9i) . . . group like terms
= -1 +21i
Let the width = X, then the length would be 5x ( 5 times as long as the width).
The perimeter is adding the 4 sides.
x + x + 5x + 5x = 70
Combine the like terms:
12x = 70
Divide both sides by 12:
x = 70/12
x = 5.83
The width = 5.83 cm.
The length = 5 x 5.83 = 29.15
Now round each length to the nearest tenth:
5.8 and 29.2 cm.
The answer is d.
Step-by-step explanation:
Solution:
Given:-
(X+y,y+3)=(6,2y)
Equating corresponding elements,we get,
X+y=6------(1)
y+3=2y-----(2)
solving equation (2),
y-2y=-3
-y=-3
y=3.
Now, substituting y=3 in equation (1)
X+3=6
X=6-3
X=3
Therefore,. (X,Y) = (3,3)
