Answer:
Domain: -5 x < 1
Range: -4 y < 7
Step-by-step explanation:
The domain is the x-values for which the function exists. It starts off at x=-5, and since the dot is closed it includes it, and finishes at x = 1, where the dot is open.
The range is the y-values for which the function exists. It starts at y= -4, and since the dot is closed there, it includes his value. Then, it finishes at y = 7, where the dot is open meaning it doesn't include it.
ANSWER
to the nearest hundredth.
EXPLANATION
We have the equation,
Which can be rewritten as
The question demands the use of the quadratic formula.
Comparing this to the general quadratic equation;
The quadratic formula is given by;
We now substitute all the values in to the formula;
We simplify to obtain;
We now split the plus or minus sign to obtain;
This implies that;
Or
This will evaluate to;
Hence, the positive solution rounded to the nearest hundredth is
⇛-7.5(x−3) = 3.75
⇛-7.5x + 22.5 = 3.75
⇛-7.5x = 3.75 - 22.5
⇛-7.5x = -18.75
⇛x = -18.75 ÷ -7.5
⇛x = -18.75/-7.5
⇛x = 2.5