Answer: C
Step-by-step explanation:
Your answer is correct! When you multiply 2 matrices, the inner dimensions have to be equal. If they are equal, the resulting dimensions would be the outer dimentions.
(<u>3</u>×4)(4×<u>5</u>)
Since the inner (bolded) dimensions are the same, in this case 4×4, we know these matrices can be multiplied.
Since these matrices can be multiplied, the product will be 3×5, the underlined outer dimensions.
T = 5, so after 5 years
p(t) = t^3 - 14t^2 + 20t + 120
Take derivative to find minimum:
p’(t) = 3t^2 - 28t + 10
Factor to solve for t:
p’(t) = (3t - 2)(t - 5)
0 = (3t - 2)(t - 5)
0 = 3t - 2
2 = 3t
2/3 = t
Plug 2/3 into original equation, this is a maximum. We want the minimum:
0 = t - 5
5 = t
Plug back into original:
5^3 - 14(5)^2 + 20(5) + 120
125 - 14(25) + 100 + 120
125 - 350 + 220
- 225 + 220
p(5) = -5
Step-by-step explanation:
the volume of a cube is
side³.
since the volume is 27 m³, the individual side lengths are then the cubic root of 27 = 3 m.
the surface area is 6 squares of 3×3 = 9m², so in total
9 × 6 = 54 m²
For any y-intercept, the x-coordinate is zero. This is something to bear in mind to start with.
Now to find the y-intercept, find g(0) = -2.
Therefore the answer is (0,-2)
