Answer:
The range of the function y = x2 is all real numbers, y, such that y ≥ 0. In the case of the function y = x2, the domain consists of all real numbers, because there is no number that, when plugged in for x into x2, would create an undefined expression.
Step-by-step explanation:
Rational number since a rational number is Any integer
Answer:
The x-coordinate of the point changing at ¼cm/s
Step-by-step explanation:
Given
y = √(3 + x³)
Point (1,2)
Increment Rate = dy/dt = 3cm/s
To calculate how fast is the x-coordinate of the point changing at that instant?
First, we calculate dy/dx
if y = √(3 + x³)
dy/dx = 3x²/(2√(3 + x³))
At (x,y) = (1,2)
dy/dx = 3(1)²/(2√(3 + 1³))
dy/dx = 3/2√4
dy/dx = 3/(2*2)
dy/dx = ¾
Then we calculate dx/dt
dx/dt = dy/dt ÷ dy/dx
Where dy/dx = ¾ and dy/dt = 3
dx/dt = ¾ ÷ 3
dx/dt = ¾ * ⅓
dx/dt = ¼cm/s
The x-coordinate of the point changing at ¼cm/s
Answer: 120 grams.
Step-by-step explanation:
Let x be the amount of sugar syrup made by 5% sugar syrup using 6g sugar.
Also, 5% =0.05
Therefore, 5% sugar syrup =5% of x = 0.05x
According to the question, we have

Hence, 120 grams sugar syrup is made by 5% sugar syrup of 6g sugar.
Marley will have $1,778.37 when she is 18.
See the attached picture for details.
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