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Answer:
(0.4, -57.9)
Step-by-step explanation:
y = 3x³ + 12x² - 10x - 56
dy/dx = 9x² + 24x - 10 = 0
x = [-24 +/- sqrt(24² - 4(9)(-10))]/(2×9)
x = -3.033006505, 0.3663398379
d²y/dx² = 18x + 24
For minima, d²y/dx² > 0 which is at x = 0.3663398379
y = 3(0.3663398379)³ + 12(0.3663398379)² - 10(0.3663398379) - 56
y = -57.90544608
Part A : The coefficients in the expression are "8" and "15. The variables in the expression are "h" and "t".
Part B: There are actually two terms in the expression and they are "8h" and "15t". Terms are separated by a plus sign or a minus sign.
Part C: "15t" is the term in the expression that shows the total earned for tablets sold.
THEOREM:
- Angle sum property —: The sum of interior angles of a triangle is 180°.
ANSWER:
<u>By angle sum property</u>,
∠U + ∠V + ∠W = 180°
- 3x - 9° + 30° + 24° = 180°
- 3x + 45° = 180°
- 3x = 180° – 45°
- 3x = 135°
- x = 135/3
- x = 45°
So, <u>Correct choice</u> - [C] 45°.
The answer is the one that is highlighted on the picture.