Answer:
Check the explanation
Step-by-step explanation:
Kindly check the attached image below to see the step by step explanation to the question above.
3 x 8 = 24
3 + 1 = 4
24/4 = 6
The quotient is 6!
If the triangle has 11 sides it not a triangle
The answer is the exponents in Expression 1 are greater than the exponents of Expression 2.
Solution:
First, we simplify both expressions. For the power of a product, we can distribute the exponent over the different factors:
Expression #1: (y^9)(2y^2)^3 => (y^9) [(2^3) (y^2)^3]
Expression #2: (9y)(2y^3)^2 => (9y) [(2^2) (y^3)^2]
When raising exponential to another power, we can multiply the exponents.
Expression #1: => (y^9) [(2^3) (y^6)]
Expression #2: => (9y) [(2^2) (y^6)]
We can multiply exponents by taking the sum of the powers.
Expression #1: => (2^3) (y^15) = 8y^15
Expression #2: => (3^2) (2^2) (y^7) = 36y^7
Based on our simplified exponents, the Expression #1 exponents are greater than the Expression #2 exponents.
Answer:
2 x + 7
Step-by-step explanation:
Simplify the following:
(2 x^2 + 17 x + 35)/(x + 5)
Factor the quadratic 2 x^2 + 17 x + 35. The coefficient of x^2 is 2 and the constant term is 35. The product of 2 and 35 is 70. The factors of 70 which sum to 17 are 7 and 10. So 2 x^2 + 17 x + 35 = 2 x^2 + 10 x + 7 x + 35 = 5 (2 x + 7) + x (2 x + 7):
(5 (2 x + 7) + x (2 x + 7))/(x + 5)
Factor 2 x + 7 from 5 (2 x + 7) + x (2 x + 7):
((2 x + 7) (x + 5))/(x + 5)
((2 x + 7) (x + 5))/(x + 5) = (x + 5)/(x + 5)×(2 x + 7) = 2 x + 7:
Answer: 2 x + 7