Jason runs the same distance each day. In one 7-day period he ran 40 1/4 miles. He knows that there is a proportional relationship between n, the number of days, and t, the total distance he runs. Tell whether each statement is True or False.
A. The relationship can be expressed as n=5.25t. True or False
B. The graph of the equation is a straight line through (0,0). True or False
C. The unit rate is 5.75. True or False
The answer is A
The heat produced by current I is
H = I²R
where
R = resistance.
According to the formula, heat produced is proportional to the square of the current.
When a current of I = 2 amps is applied, the heat produced is
H = 10x³ + 80.
This heat includes heat due to a fixed current of 2 amps, and heat due to a variable current of x amps.
Because the heat produced is proportional to the square of the current, write the expressions as
H = (10x)*(x²) + 20*(2²)
The second term on the right is heat due to the fixed current of 2 amps, written as
20*(2²).
Therefore the fixed resistance is R = 20 ohms, and the square of the fixed current is 2².
The first term represents heat due to variable resistance, written as
(10x)*(x²).
Therefore the variable resistance is 10x, and the square of the variable current is x².
Answer:
The variable current is 10x.
Answer:
f(-3)=56
Step-by-step explanation:
When evaluating a specific input for a function, you just plug that input in for x.
So in this case, f(-3)=5(-3)^2-2(-3)+5
f(-3)=5(-3)^2-2(-3)+5
f(-3)=5(9)+6+5
f(-3)=45+6+5
f(-3)=56
First simplify the equation of parabola
in the following way:
.
You can see that if x=1 or x=2, then y=0. Two points of intersection with x-axis are (1,0) and (2,0).
