Answer:
A) Hertz: 42x+32=y
Enterprise: y=46x+24
B) Hertz is less by 16 $; 300$ minus 386$
C)16$
D) 9$
Step-by-step explanation:
Answer:
A: This polynomial has a degree of 2 , so the equation 12x2+5x−2=0 has two or fewer roots.
B: The quadratic equation 12x2+5x−2=0 has two real solutions, x=−2/3 or x=1/4 , and therefore has two real roots.
Step-by-step explanation:
f(x) = 12x^2 + 5x - 2.
Since this is a quadratic equation, or a polynomial of second degree, one can easily conclude that this equation will have at most 2 roots. At most 2 roots mean that the function can have either 2 roots at maximum or less than 2 roots. Therefore, in the A category, 2nd option is the correct answer (This polynomial has a degree of 2 , so the equation 12x^2 + 5x − 2 = 0 has two or fewer roots).
To find the roots of f(x), set f(x) = 0. Therefore:
12x^2 + 5x - 2 = 0. Solving the question using the mid term breaking method shows that 12*2=24. The factors of 24 whose difference is 5 are 8 and 3. Therefore:
12x^2 + 8x - 3x - 2 = 0.
4x(3x + 2) -1(3x+2) = 0.
(4x-1)(3x+2) = 0.
4x-1 = 0 or 3x+2 = 0.
x = 1/4 or x = -2/3.
It can be seen that f(x) has two distinct real roots. Therefore, in the B category, 1st Option is the correct answer (The quadratic equation 12x2+5x−2=0 has two real solutions, x=−2/3 or x=1/4 , and therefore has two real roots)!!!
The volume of a cylinder is the area of the base times the height
area of the base: 3.14*4² (diameter is 8, so radius is 4)
height: 20
3.14*4²*20=1004.8
60% of 1004.8=602.88
Answer:
The time is 135 min.
Step-by-step explanation:
For this situation we are going to use Newton's Law of Cooling.
Newton’s Law of Cooling states that the rate of temperature of the body is proportional to the difference between the temperature of the body and that of the surrounding medium and is given by
where,
C = surrounding temp
= temp at any given time
t = time
= initial temp of the heated object
k = constant
From the information given we know that:
- Initial temp of the cake is 310 °F.
- The surrounding temp is 72 °F.
- After 30 minutes the cake's temperature is 220 °F.
We want to find the time, in minutes, since the cake's removal from the oven, at which its temperature will be 100°F.
To do this, first, we need to find the value of k.
Using the information given,
Next, we find the time at which the cake's temperature will be 100°F.
