Answer:
in
Step-by-step explanation:
Let x be the side of square.
Length of box=8-2x
Width of box=15-2x
Height of box=x
Volume of box=
Substitute the values then we get
Volume of box=V(x)=
Differentiate w.r.t x
Again differentiate w.r.t x
Substitute x=6
Substitute x=5/3
Hence, the volume is maximum at x=
Therefore, the side of the square ,
in cutout that gives the box the largest possible volume.
Slope = rise/run. the rise is the increase of y and the run is the increase of x. that would make it 4/1 or just 4. now that you have the slope, plug everything into slope-intercept form. y = mx + b. m = the slope. b = the y-intercept. once every thing is plugged in, then the equation would be y = 4x - 2.
i hope i helped
Answer:
x = 4
Step-by-step explanation:
The steps we need to take:
1. Simplify left side.
2. Separate the variable and its coefficient from constants
3. Divide both sides by the coefficient to find "x
1) Simplify left side.
5(3x - 4) + 12 = 52
15x - 20 + 12 = 52
15x - 8 = 52
2) Separate the variable and its coefficient from constants by adding 8 to both sides.
15x - 8 + 8 = 52 + 8
15x = 60
3) Divide both sides by the coefficient to find x. (the coefficient is the number that comes before the variable)
15x / 15 = 60 / 15
x = 4
Answer:
Kelly is 20
Her sister is 14
Step-by-step explanation:
34 ÷ 2 = 17 (average)
17 + 3 = <u>20</u>
17 - 3 = <u>14</u>
Answer:37.5 hrs
Step-by-step explanation:
15/4 = 3.75
3.75*10=37.5
