Two Consecutive Odd Numbers: D, D+2
(D+2) + 2D = 4D - 27
D + 2 + 2D = 4D - 27
3D + 2 = 4D - 27
3D + 29 = 4D
29 = D
Two Consecutive Odd Numbers are 29, 31
Check. . 31 + 2(29) = 4(29) - 27
..................31 + 58 = 116 - 27
.................89 = 89 ..... CORRECT!
Answer:
5
Step-by-step explanation:
Let’s solve this step by step. :)
First, let’s assign variables for the missing number: x and y.
so the 3 numbers would be x, y and 28
then we have 3 scenarios:
28 + x = 61
28 + y = 76
x + y = 81
Using the first equation, we can get x = 61-28 = 33
Using the 2nd equation, we can get y = 76-28 = 48
then, we can verify if our answer is right by substituting these values in the 3rd equation:
x + y = 81
33 + 48 = 81
81 = 81 ✔️
So the 3 numbers are 28, 33 and 48.
Answer:
y=-4x-5
Step-by-step explanation:
Given condition:
p – [(1/2) x^2] = 48 ------------------------(1)
By taking differentiation of equation (1); dp/dt
represents the decreasing rate of change in the tire price and dx/dt represents
rate of change of the tires being introduced.
x = 9
p = 88.5
Tire price decreasing rate = dp/dt = 4$ per week
Solution:
Differentiation is performed implicitly.
dp/dt – [(1/2) d(x^2)/dt ]= d(48) /dt
Putting value of dp/dt;
<span>– 4 – [(1/2)
* 2 x (dx/dt)] = 0 </span>
Where “– “is due to decreasing rate of change of
tires price and derivate of a constant “48” is equal to “0”
x dx/dt = -4
dx/dt = -4/x
Where x = 9
So dx/dt = -4/9
<span>Hence the tire supply rate is decreasing the at
rate of -4/9. </span>