Answer:
2x4 8.2
Step-by-step explanation:
Answer:
11 hours
Step-by-step explanation:
Setting up a system of equations and using the substitution method will give you the number of hours used by each tap. Let a = time for tap A and b = time for tap B:
a + b = 12 (A and B fill a tank in 12 hours)
a = b - 10 (tap A takes 10 hours less than tap B)
Substitute 'b - 10' for 'a' in the first equation:
b - 10 + b = 12
Combine like terms: 2b - 10 = 12
Add 10 to both sides: 2b - 10 + 10 = 12 + 10 or 2b = 22
Divide by 2: 2b/2 = 22/2
Solve for b: b = 11 hours
Answer:
Answer:
As x→∞ , f(x)→-∞
As
x→-∞ , f(x)→∞
Step-by-step explanation:
End behavior is determined by the degree of the polynomial and the leading coefficient (LC).
The degree of this polynomial is the greatest exponent, or
3
.
The leading coefficient is the coefficient of the term with the greatest exponent, or
2
.
For polynomials of even degree, the "ends" of the polynomial graph point in the same direction as follows.
Even degree and positive LC:
As x→∞ , f(x)→∞ As x→∞, f(x)→∞
Even degree and negative LC:
As x→−∞ , f(x)→−∞
As
x→∞ , f(x)→−∞
Answer:
The correct option is C.
Step-by-step explanation:
The vertices of ABCD are A(2,-3), B(8,-6), C(14,-3), and D(8,0).
Distance formula:

The length of sides are




Since length of all sides are equation therefore the given parallelogram cannot be a rectangle.
Slope formula:

Slope of AB is

Slope of BC is

Since the slopes of two consecutive sides are not opposite reciprocals, therefore the given parallelogram is a rhombus. Option C is correct.