1 1/2 as an improper fraction is 3/2
3/2x3/2=9/4
9/4 is 2.25 so 2.25 yards
Answer: The system consists of parallel lines
Step-by-step explanation:
Given system of lines :

Substitute
in
, we get
, which is not true.
That means , system has no solution.
i.e. they are representing parallel lines. [Parallel lines do not intersect and hence they do not have solution.]
Answer:

Step-by-step explanation:
A compound inequality is an inequality that combines two simple inequalities
we are given that

<u>solving</u><u> </u><u>x </u><u>for</u><u> the</u><u> first</u><u> equation</u><u>:</u>

add 4 to both sides:

divide both sides by 4 and since we are dividing both sides by a positive number the inequality won't swap

<u>solving</u><u> </u><u>x </u><u>for</u><u> the</u><u> </u><u>second</u><u> equation</u><u>:</u>

cancel 5 from both sides:

divide both sides by 9 and since we are dividing both sides by a positive number:

therefore by combining the equations we obtain:

hence,
our answer is A)
Answer:
The function f(x) is positive in the interval (-≠,-2.5) ∪ (1,∞)
Step-by-step explanation:
we have

This is a vertical parabola open upward (the leading coefficient is positive)
The vertex is a minimum
The coordinates of the vertex is the point (h,k)
step 1
Find the vertex of the quadratic function
Factor the leading coefficient 2

Complete the square


Rewrite as perfect squares

The vertex is the point (-\frac{3}{4},-\frac{49}{8})
step 2
Find the x-intercepts (values of x when the value of f(x) is equal to zero)
For f(x)=0



take the square root both sides




therefore
The function f(x) is negative in the interval (-2.5,1)
The function f(x) is positive in the interval (-≠,-2.5) ∪ (1,∞)
see the attached figure to better understand the problem