Which monomial function has a maximum value?
a.) y = -6x^3
b.) y = -5x^4
c.) y = 5x^6
d.) y = 6x^5

Option B is correct.

Step-by-step explanation:

Option A:

graph of this function is attached.

Maximum value does not exist for this function.

Option B:

graph of this function is attached.

Maximum value does exist for this function.

Option C:

graph of this function is attached.

Maximum value does not exist for this function.

Option D:

graph of this function is attached.

Maximum value does not exist for this function.

Therefore, Option B is correct.

answer is 8x+24

area of vanessa's patio = length × width

given, length = (3x² + 5x + 10)

width = (x² - 3x - 1)

area of vanessa's patio = (3x² + 5x + 10)(x² - 3x - 1)

= 3x²(x² - 3x - 1) + 5x(x² - 3x - 1) + 10(x² - 3x - 1)

= 3x⁴ - 9x³ - 3x² + 5x³ - 15x² - 5x + 10x² - 30x - 10

= 3x⁴ - 4x³ - 8x² - 35x - 10

hence, expression of vanessa's patio = (3x⁴ - 4x³ - 8x² - 35x - 10)