Answer:
d
Step-by-step explanation:
E is ththe answer
the first equation should be T + C = 118 and the second equation should be C + 26 = T
none of these equations are correct
The three correct statements are:-
- The new prism will have a length of 5 because 3 + 2 = 5.
- The new prism will have a width of 4 because 2 + 2 = 4.
- The new prism will have a height of 2 because of 1 time 2 = 2.
<h3>What is a rectangular prism?</h3>
A rectangular prism is a three-dimensional rectangular object having all surfaces rectangular.
It is given in the question:-
Sarkar needs to increase the length, width, and height of the prism below by 2 inches. The original prism has a length of 3 inches, a width of 2 inches, and a height of 1 inch. A prism has a length of 3, a height of 1, and a width of 2.
The solution will be:-
- The new prism will have a length of 5 because 3 + 2 = 5.
- The new prism will have a width of 4 because 2 + 2 = 4.
- The new prism will have a height of 2 because of 1 time 2 = 2.
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Answer:
(a) TRUE; (b) FALSE; (c) TRUE
Step-by-step explanation:
a. The instantaneous rate of change at 4 is 0. TRUE.
The function is f(x) = a(x-4)^2 - 10; the derivative of this function is f '(x) = 2a(x-4), which must equal zero (0) at the vertex / max (4,10). Zero slope at the vertex corresponds with instantaneous rate of change zero at that point.
b. f(6)>f(4). FALSE.
Using the function given in (a), above, f(x) = a(x-4)^2 - 10. Since (4,10) is the max of this function, f is increasing on (-infinity, 4) and decreasing on (4, infinity). Thus, f(6) is smaller than f(4).
c. There is only one possible value for x that has an instantaneous rate of change = 0. TRUE
The inst. rate of change takes on the value 0 only at (4,10), since (4,10) is the vertex of this downward-opening parabolic graph.
<span>Equation:
train distance + plane distance = 1300 miles
50x + 275x = 1300
x(325) = 1300
x = 4 hours
4x2=8
---
The trip took 8 hrs.</span>