Your answer is C
x=-3 and x=4
Njoy
Answer:
See below
Step-by-step explanation:
With the information given, we only need to find the value of the parameter c1 for which the initial condition holds. Assume our solution is of the given form
Then
Thus
. Therefore, the unique solution to the initial value problem is the function
Again, it's important to note that the problem gives us the general solution for granted. If you want to solve another IVP, sometimes you need to find the general solution first, and then find the parameters corresponding to the initial conditions.
3 burritos and 4 tacos cost 11.33 3b + 4t = 11.33
<span>9 burritos and 5 tacos cost 23.56 9b + 5t = 23.56 </span>
<span>To solve: multiply top equation by 3. </span>
<span>3(3b + 4t = 11.33) becomes 9b + 12t = 33.99 </span>
<span>9b + 5t = 23.56 stays as is 9b + 5t = 23.56 </span>
<span>Now subtract the second equation from the first and you will get </span>
<span>7t = 10.43 which you can solve by dividing both sides by 7 to get t = 1.49 so a taco costs $1.49. </span>
<span>Now replace a t in either equation with 1.49 so 3b + 4t = 11.33 becomes 3b +4(1.49) = 11.33 or 3b + 5.96 = 11.33. Now subtract 5.96 from each side leaving 3b = 5.37 and finally divide both sides by 3 to get b = 1.79 so a burrito costs $1.79 </span>
<span>Problem Two: </span>
<span>3 brass and 10 steel costs $48 3b + 10s = 48 </span>
<span>7 brass and 4 steel costs $54 7b + 4s = 54 </span>
<span>To solve: multiply top equation by 2 and the bottom equation by 5 so the number of s's will be equal </span>
<span>2(3b + 10s = 48) becomes 6b + 20s = 96 </span>
<span>5(7b + 4s = 54) becomes 35 b + 20s = 270 </span>
<span>Now subtract the top equation from the bottom equation and you will get 29b = 174. Divide both sides by 29 to get b = 6. </span>
<span>Now replace the b of either original equations with the 6 (say the top equation) to get 3(6) + 10S = 48 or written another way, </span>
<span>10s + 18 = 48. Now subtract 18 from both sides to get 10s = 30 and then divide both sides by 10 to get s = 3. </span>
<span>b=6 and s=3 so each brass part is $6 and each steel part is $3.</span>
Answer:r/8>16
Step-by-step explanation:
Answer:
Length = 2x+y cm and since it's a rectangle,
2x+y=3x-y ---------------- (i)
width = 2x-3 cm
It's perimeter,
2(2x+y+2x-3)=120 ---------------- (ii)
Solving both equations,
x = 14 cm
y = 7 cm
so length is, 2×14+7 = 35 cm
and width is, 2×14-3 = 25 cm
so area will be, 35×25 = 875 cm²
Answered by GAUTHMATH