Answer: 3x -2
Because i know as soon as the line goes through the y-axis that number is your y-intersect and for the slope from the first point to the second point you go up 3 and over 1 and 3/1 is equal to 3 which gives your answer y=3x-2
245/8.2 = 416/x
245x = 3411.2
x = 13.9
So the answer is 13.9 gallons
Answer:
0/-5
Step-by-step explanation:
y2-y1/x2-x1
8-8/5-10= 0/5
2 * 22 = 44. Hope this helps.
The Given integral is :
∫x²√x³ + 37 dx ; u = x³ + 37
Answer:
2/9(x³ + 37)^3/2 + C
Step-by-step explanation:
∫x²√x³ + 37 dx ; u = x³ + 37
∫x²√u dx
Since u = x³ + 37
Differentiate u with respect to x
du/dx = 3x²
du = 3x²dx
dx = du / 3x²
∫x²√u dx = ∫x²√u du/3x²
1/3x²∫x²√u du
1/3 ∫ √u du
Integrating √u with respect to u
1/3 ∫ u^1/2 du
1/3 [u^(1/2+1) / 1/2 + 1] + C
1/3 [u^3/2 / 3/2] + C
1/3 u^3/2 * 2/3 + C
1/3*2/3 u^3/2 + C
2/9 u^3/2
u = x³ + 37
2/9(x³ + 37)^3/2 + C