Since there are 50 stars, it would be 50 as 2500 divided by 50 is 50
To get the extrema, derive the function.
You get y' = 2x^-1/3 - 2.
Set this equal to zero, and you get x=0 as the location of a critical point.
Since you are on a closed interval [-1, 1], those points can also have an extrema.
Your min is right, but the max isn't at (1,1). At x=-1, you get y=5 (y = 3(-1)^2/3 -2(-1); (-1)^2/3 = 1, not -1).
Thus, the maximum is at (-1, 5).
The reaction times form a straight line with gradient of 60/140 = 3/7 m/kph
Reaction time at 130 kph = 3/7 x 130 = 390/7 = 56 m to nearest whole number
Answer:
Step-by-step explanation:
John's age = w
His brother's age = 2*w = 2w
His sister's age = 16 years
Total age of all siblings = 31
w + 16 + 2w = 31
w + 2w + 16 = 31
Combine like terms
3w + 16 = 31
Subtract 16 from both sides
3w = 31 - 16
3w = 15
w = 15/3
w = 5
His brother's age = 2w
= 2*5
= 10
Answer:
A
Step-by-step explanation:
Hey There!
So these triangles are congruent so segment CD is equal to segment DB
so to find x we use the equation
7x+10=10x+7
now we solve for x
step 1 subtract each side by 7
10-7=3
7-7 cancels out
now we have 7x+3=10x
step 2 subtract each side by 7 x
10x-7x=3x
7x-7x= cancels out
now we have
3x=3
step 3 divide each side by 3
3/3=1
3/3 cancels out
now we have
x=1
