Answer:
B. (b+3c)+(b+3c)
C. 2(b)+2(3c)
Step-by-step explanation:
we have
Distribute the number 2
Verify each case
case A) 3(b+2c)
distribute the number 3
therefore
Choice A is not equivalent to the given expression
case B) (b+3c)+(b+3c)
Combine like terms
therefore
Choice B is equivalent to the given expression
case C) 2(b)+2(3c)
Multiply both terns by 2
therefore
Choice C is equivalent to the given expression
This is a right triangle equation
so a^2 + b^2 = c^2
c^2 is the hypotenuse and the 15 feet
a^2 + 9^2 = 15^2
a^2 + 81 = 225
a^2 = 144
the square root of 144 is 12
the tree is 12 feet tall
Answer:
130 cars.
Step-by-step explanation:
The cost function is given by:
C(x) = 0.9x^2 -234x + 23,194; where x is the input and C is the total cost of production.
To find the minimum the unit cost, there must be a certain number of cars which have to be produced. To find that, take the first derivative of C(x) with respect to x:
C'(x) = 2(0.9x) - 234 = 1.8x - 234.
To minimize the cost, put C'(x) = 0. Therefore:
1.8x - 234 = 0.
Solving for x gives:
1.8x = 234.
x = 234/1.8.
x = 130 units of cars.
To check whether the number of cars are minimum, the second derivative of C(x) with respect to x:
C''(x) = 1.8. Since 1.8 > 0, this shows that x = 130 is the minimum value.
Therefore, the cars to be made to minimize the unit cost = 130 cars!!!
Answer:
29
Step-by-step explanation:
Pythagorean theorem is a^2+b^2=c^2. Then fill in the terms to a calculator 20^2+21^2=841. the square root of 841 is 29
