Answer:
(2, ∞)
Step-by-step explanation:
An absolute value graph at (0, 0) is an up facing V shape graph. After a few transformation, according to the equation y = −2 + |x− 2|, we have our vertex at (0, - 2). It remains at up facing V graph.
x - h,
x - 2,
x - (+ 2),
h = 2
Therefore our slope is 2, with out vertex at (0, - 2). If we plot our graph, you can see that on the interval (2, ∞) the graph increases...
Answer:
$180
Step-by-step explanation:
To solve, we can set up a proportion and solve.
You earn $45 for 7.5 hours of work, and you earn $ x for 30 hours of work
45/7.5=x/30
Cross multiply
45*30=7.5*x
1350=7.5x
To solve for x, we need to get x by itself. It is being multiplied by 7.5. To undo this, divide both sides by 7.5
1350/7.5=7.5x/7.5
180=x
So, for 30 hours of work, you would earn $180
Answer:
Step-by-step explanation:
D=1:0.6
Answer:
b = 55°
Step-by-step explanation:
Angles around a point will always add up to 360°
Therefore, we can write an expression where we sum the 3 angles given and equate them to 360°:
(b - 15) + 3b + (2b + 45) = 360
eliminate the brackets and collect like terms:
b + 3b + 2b - 15 + 45 = 360
Combine like terms:
6b + 30 = 360
subtract 30 from both sides:
6b = 330
divide both sides by 6:
6b ÷ 6 = 330 ÷ 6
⇒ b = 55
we know that
In a quadratic equation of the form 
the discriminant is equal to
if 
-------> the equation has two real number solutions
if 
-------> the equation has one real number solution
if 
-------> the equation has two complex number solutions
In this problem we have
so
substitute in the formula
----> the equation has two real number solutions
therefore
<u>the answer is</u>
the equation has two real number solutions
