64x x [x] -2
Steps
1. Cancel out the greatest common factor
2. Calculate the absolute value
3. Calculate the quotient
4. Calculate the product
5. And then you get your solution 64x x [x] -2
The answer is d, the factor pairs of 24 are (1,24), (2,12), (3,8), and (4,6)
The rate should be $35. The agency would be able to rent 175 cars. The maximum income= 35 * 175 = $6125
Answer:
a) Function A(x) = (60*x - 1/2*x²)
b)Side length x = 60 m the other side y = 30 m
c) A (max) = 1800 m²
Step-by-step explanation:
Area of rectangular garden with length " x " and wide "y"
A = x*y
Perimeter of rectangular area ( only three sides 2*y and 1*x)
P(r) = 2*y + x
P(r) = 120 = 2*y + x
y = ( 120 - x ) /2
Area of the garden as function of x is
A(x) = [( 120 - x ) /2]*x ⇒ A(x) = (60*x - 1/2*x²)
Taking derivatives on both sides of the equation:
A´(x) = 60 - x
A´(x) = 0 60 - x = 0
x = 60 m
Then
y = ( 120 - x ) / 2 ⇒ y = (120 - 60 )/2
y = 30 m
A(max) = 30 * 60
A(max) = 1800 m²
The missing exponent is -3. The exponent on the x variable only applies to x, so with that in mind, only x is in the denominator. This means that its exponent needs to be a negative. A negative exponent flips its base to the reciprocal making x into 1/x. When multiplying only an exponent, you multiply the two exponents. For example: (y^4)^2 = y^8. 2 times 3 is 6.
The missing exponent is -3. A negative exponent flips the base to its reciprocal making 2x/3 into 3/2x, and 3^3 is 27. The same applies to 2x. (2x)^3 is 8x^3.
The other one’s missing exponent is 2. As, mention before, a negative exponent results in flipping the base to its reciprocal making 1/3 into 3. 3^3 is 27. You can figure out which exponent make 3 into 9 which is 2.
Hope this helped.
