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.
Answer:
Step-by-step explanation:
Answer: 2.66 hours
Step-by-step explanation:
Shawana can paint a fence in 8hours which means in one hour she can paint 1/8 of a fence.
Kevin can paint the same fence in 4 hours, so in one hour he can paint 1/4 of the fence.
Together in 1 hour they can paint 1/8 + 1/4 = 3/8
Total hours for painting is 3/8 or 2.66 hours
Answer: the unit rate of change is 1500. keith saves 1500 per year
Step-by-step explanation: im not a hundred percent sure about the unit rate one but thats probbably the answer
Answer:
P(x) = 58x - 8,500
Step-by-step explanation:
The profit function can be modeled based on the two given points of format (P, x) that are ($1360, 170) and ($4260, 220). The slope of the function is:

Applying the general form of a linear equation, the profit function is:

The profit as a function of units sold is P(x) = 58x - 8,500.