Answer:
4/11
Step-by-step explanation:
there are 4 green out of 11 total
Multiply each price by the discount into a decimal (move the decimal place over 2 on the percents) then subtract that from the regular price and that's sale price
Answer:
10.50°C
Step-by-step explanation:
Given x = 2 + t , y = 1 + 1/2t where x and y are measured in centimeters. Also, the temperature function satisfies Tx(2, 2) = 9 and Ty(2, 2) = 3
The rate of change in temperature of the bug path can be expressed using the composite formula:
dT/dt = Tx(dx/dt) + Ty(dy/dt)
If x = 2+t; dx/dt = 1
If y = 1+12t; dy/dt = 1/2
Substituting the parameters gotten into dT/dt we will have;
dT/dt = 9(1)+3(1/2)
dT/dt = 9+1.5
dT/dt = 10.50°C/s
Hence the rate at which the temperature is rising along the bug's path is 10.50°C/s
Answer:
(-∞, -6] U [-2, ∞)
Step-by-step explanation:
To solve this, begin by factoring this quadratic equation into its factored form:
x² + 8x + 12 ≥ 0 becomes (x+6)(x+2) ≥ 0.
x = -6, and x = -2 are the zeros of this parabola. Therefore:
(-∞, -6] U [-2, ∞) are the parts of the graph above y = 0 because the graph
opens upward.
** Remember, when the '≥' sign is present, the
square brackets must be used.
Answer:
y=400*x-500
Step-by-step explanation:
The expression that represents the problem is:
y=400*x-500
Function y represents earnings for one day.
400 is the fixed number that is charge for one hour work
x represents the number of hours that the technician has worked for one day
To find the total earnings you should multiply the fixed charge for one hour work (400) by the number of hours worked in a day.
Then you need to substract the cost of gasoline in a day, it is 500 and it is a constant in the equation since it doesn't depend on the number of hours worked.
So, the function is:
y=400*x-500