<span>f''(x) means function is of grade 1
f(x) = ax + b
f'(x) = a
f'(5) = 1 </span>⇒ a = 1
f(4) = -2
f(4) = 1×4 + b
-2 = 4 + b
b = -6
f(x) = x - 6
Answer:
30 lamps
Step-by-step explanation:
30*2= 60
Answer:
3 inches
Step-by-step explanation:
(14+2x) × (15+2x) = 2(14×15)
210 +30x +28x + 4x² = 420
4x² + 58x - 210 = 0
2x² + 29x - 105 = 0
2x² + 35x - 6x - 105 = 0
x(2x + 35) - 3(2x + 35) = 0
(x - 3)(2x + 35) = 0
x = 3, -35/2(not possible)
<h2>
d ≈ 19.1 cm</h2>
<em>Using the formulas</em>
<em>C = 2πr</em>
<em>d = 2r</em>
<em>Solving for 'd' (diameter)</em>
<em>d = C</em>
<em>π = 60</em>
<em>π ≈ 19.09859cm</em>
<em />
Answer:
-7, 7
Step-by-step explanation:
Opposites are basically two numbers that are at different sides of the number line. For example, -2 and 2 are opposites because they are the same distance away from 0 on a number line making them opposites. To make an opposite just take a positive number, and then add a negative to it. (8, -8)