I believe the answer is A.
The other values have repeated X values.
The line y = x + 3 has slope 1, so we look for points on the curve where the tangent line, whose slope is dy/dx, is equal to 1.
y² = x
Take the derivative of both sides with respect to x, assuming y = y(x) :
2y dy/dx = 1
dy/dx = 1/(2y)
Solve for y when dy/dx = 1 :
1 = 1/(2y)
2y = 1
y = 1/2
When y = 1/2, we have x = y² = (1/2)² = 1/4. However, for the given line, when y = 1/2, we have x = y - 3 = 1/2 - 3 = -5/2.
This means the line y = x + 3 is not a tangent to the curve y² = x. In fact, the line never even touches y² = x :
x = y² ⇒ y = y² + 3 ⇒ y² - y + 3 = 0
has no real solution for y.
Answer:
y = 14 
Step-by-step explanation:
For an exponential function of the form y = a
Use the given points to find a and b
Using (0, 14 ), then
14 = a
( = 1 ) , thus
a = 14
y = 14
Using (3, 3024 ) , then
3024 = 14 b³ ( divide both sides by 14 )
216 = b³ ( take the cube root of both sides )
b = ![\sqrt[3]{216}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B216%7D)
= 6 , thus
y = 14 × 
← exponential function
Answer:
0.56 milligrams
Step-by-step explanation:
Put 6 where t is and do the arithmetic.
M(6) = 50·e^(-0.75·6) = 50·e^-4.5 ≈ 0.56 . . . . milligrams
Answer:
Step-by-step explanation:
The lines surrounding 10 are called positive brackets, meaning the no matter what number is in those brackets, it will always come out of positive.
There is nothing to do with just 10 because we don't need to change anything.
|10| simplified is 10
