Answer:
y = 4
Step-by-step explanation:
Using the given points to find a and b
Using (0, 4), then
4 = a
⇒ a = 4, thus
y = 4
Using (3, 2916), then
2916 = 4 b³ ( divide both sides by 4 )
729 = b³ ( take the cube root of both sides )
b = ![\sqrt[3]{729}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B729%7D)
= 9
Thus
y = 4 
← is the exponential function
Answer: 12.37 units
Step-by-step explanation:
The dimension supplied can be interpreted as :
Length(L) = 10 ; width(W) = 7; Height(H) = 2
The dimension supplied gives an insight that the solid is most likely a rectangular box.
The diagonal(d) of the solid(rectangular box) is calculated by:
d^2 = L^2 + W^2 + H^2
d^2 = 10^2 + 7^2 + 2^2
d^2 = 100 + 49 + 4
d^2 = 153
d = √153
d = 12.37 units
Answer:
Rule: replace x by x - a where a is the number of units that you want to move right. a must be greater than 0. x - - a would move left.
Step-by-step explanation:
You want f(x) to move 3 units to the right.
That would mean that x would be replaced by x - 3. Just to be sure let's try it.
- Suppose you have f(x) = x^2 + 6x + 5 It is graphed as the red line
- Now suppose you want to move 3 units right.
- It would replaced like f(x - 3) = (x - 3)^2 + 6(x - 3) + 5 which is the blue line
- Notice nothing else is changed. The blue line looks exactly like the red line except that it is shifted 3 units to the right.
Answer: =23
Step-by-step explanation: 16−10−2+19
=6−2+19
=6+17
=23
Egrav=mgh
m=mass
g=gravity
h=height
0.95*10*3.0=28.5
Egrav=28.5J
