Only the function in C has the range of all real numbers.
Later on, when you will be familiar with more type of functions you will know that when x is on the power range is usually only positive values or negative values if only not shifted, even if shifted it will only add to its range this numbers by which unit it was shifted.
B is shifted parabola. It has the range of {y| -3≤∞}
Answer:
1. 490.6 mm²
2. 14.1 ft²
Step-by-step explanation:
1. 3.14×(12.5)²= 3.14 × 156.25 =490.6mm²
2. ½×3.14×3²= 3.14×4.5= 14.1 ft²
Answer:
72.578 to the nearest thousandth.
Step-by-step explanation:
g(x)=3x^3 + 3x^2 - 30x + 24
Find the derivative:
g'(x) = 9x^2 + 6x - 30.
This equals zero for values of turning points:
9x^2 + 6x -30 = 0
3(3x^2 + 2x - 10) = 0
x = [-(2) +/- √(2^2 - 4*3*-10)] / 2*3
x = (-2 +/- √124) / 6
x = (-2 + 11.136)/6, (-2 - 11.136)/6
x = 1.523, -2.189.
To check which value of x gives a maximum value for f(x) use the second derivative test:
g"(x) = 18x + 6
when x = -2.189 g"(x) = 18(-2.189) + 2 which is negative so this value gives a local maximum.
Local maximum value for f(x)
= 3(-2.189)^3 + 3(-2.189)^2 - 30(-2.189) + 24
= 72.578 answer.
Answer:
the answer is 24
Step-by-step explanation:
take away 82 from 1050 you get 968 and 24 crates times 40 kilograms equals 960
