Answer:
<h2>n = 25</h2>
Step-by-step explanation:

3(a + b) and 3a + b - NOT EQUIVALENT because
3(a + b) = 3a + 3b
<em>used distributive property a(b + c) = ab + ac</em>
4(x + 2y) and 8y + 4x - EQUIVALENT because
4(x + 2y) = (4)(x) + (4)(2y) = 4x + 8y = 8y + 4x
<em>used distributive property a(b + c) = ab + ac</em>
<em>and commutative property a + b = b + a</em>
Answer:
2.99x + 12.99y = 43.92
Step-by-step explanation:
socks cost 2.99 and she bought x
2.99x
blouses cost 12.99 and she bought y
12.99y
The total is
2.99x + 12.99y
The total cost was 43.92
2.99x + 12.99y = 43.92
The answer is 28 !!!!!!!!!!!!!!!!!
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