Answer:
<h2>3. If a ≥ b, then a + c ≥ b + c
</h2><h2>4. If c > d, then a– c < a – d</h2>
Step-by-step explanation:
The inequalities 3 and 4 are the right ones, because they are actually properties of inequalities.
The other choices aren't correct. For example, the first choice: a – b < a + b, it's not true, because you must apply the same change at each side of the inequality, otherwise you'll ruin the expression.
Choices 2 and 5 are also false.
Therefore, the right answers are 3 and 4.
Answer:
Answers are in bold type
Step-by-step explanation:
f(x) = 
The parabola opens up, so has a minimum at the vertex.
Let (h, k) be the vertex
h = -b/2a = - (-144)/2(1) = 57
k = 57^2 - 144(57) = 3249 - 6498 = -3249
Therefore, the vertex is (57, -3249)
The minimum value is -3249
The domain is the set of real numbers.
The range = {y | y ≥ -3249}
The function decreases when -∞ < x < 57 and increases when 57 > x > ∞
The x - intercepts: = 0
x(x - 114x) = 0
x = 0 or x = 114
x-intercepts are (0, 0) and (0, 114)
When x = 0, then we get the y-intercept. So, 0^2 - 114(0) = 0
y-intercept is (0, 0)
Answer:
y = -2x/3 + 2
Step-by-step explanation:
A(0,1), B(2,4)
slope of AB = (yb-ya)/(xb-xa) = (4-1)/(2-0) = 3/2
Slope of perpendicular to AB
m = -1/(3/2) = -2/3
Point to lie on perpendicular, P(0,2)
Equation of perpendicular, point-slope form
(y-yp) = m(x-xp)
y-2 = -(2/3)(x-0)
y = -2x/3 + 2
Answer:
domain: {-12, -8, 0, 1} range: {0, 8, 12}
Step-by-step explanation:
domain are of all the input values shown on the x-axis. The range is the set of possible output shown on the y-axis.
Answer:
I've never been to waffle house
