Answer: It is not D.
Step-by-step explanation: I got it wrong lol
Answer:
15,392 pencils.
Step-by-step explanation:
If a factory can make 3,848 pencils in an hour, then the factory can make 15,392 pencils in 4 hours.
Simply multiply 3,848 by 4.
Therefore, the factory can make 15,392 pencils in 4 hours.
ANSWER
EXPLANATION
Part a)
Eliminating the parameter:
The parametric equation is
From the first equation we make t the subject to get;
We put it into the second equation.
We differentiate to get;
At x=5,
The slope of the tangent is 2.
The equation of the tangent through
(5,6) is given by
Without eliminating the parameter,
At x=5,
This implies that,
The slope of the tangent is 2.
The equation of the tangent through
(5,6) is given by
Answer:
52 miles per hour.
Step-by-step explanation:
Divide 234 by 4.5, as that is what you must divide 4.5 by to get 1.
234/4.5 = 52 miles per hour.
<h3>
Answer: g(x) = (-2/3)*x^2</h3>
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Work Shown:
f(x) = x^2
g(x) = a*f(x) for some constant 'a' since g(x) is a scaled version of f(x).
The value of 'a' vertically stretches f(x) upward if a > 0
If 'a' is negative, then we have a reflection going on as shown in the diagram.
We want (x,y) = (3,-6) to be on the graph of g(x). This means g(3) = -6
If we plugged x = 3 into f(x), we get
f(x) = x^2
f(3) = 3^2
f(3) = 9
So,
g(x) = a*f(x)
g(3) = a*f(3) ... replace x with 3
g(3) = a*9 ... replace f(3) with 9 since f(3) = 9
-6 = a*9 ... replace g(3) with -6 since g(-3) = -6
9a = -6
a = -6/9
a = -2/3
Therefore, this means
g(x) = a*f(x)
g(x) = (-2/3)*f(x)
g(x) = (-2/3)*x^2
