Using f(x) = y, we know that a graph of the function contains the (x,y) points (2,5) and (6,-1). first find the slope of that line,
m = (y2 - y1)/(x2 - x1) ⇒ -6/4⇒-3/2
then using either point (I'll use the first one) solve for b in y = mx + b.
5 = (-3/2)(2) + b⇒ 5 = -3 + b⇒ 8 = b.
So y = (-3/2)x + 8 ⇒ f(x) = (-3/2)x + 8.
Answer:
The price after the discount but before the tax is $21
Step-by-step explanation:
Here, we are told there is a price off of 40% on an item that costs $35.
What we want to calculate is the value of what the price would be before the tax
We proceed by finding 40% of $35
Mathematically, that would be;
40/100 * 35 = $14
The price of the item before the tax is thus;
35-14 = $21
Answer:
All real numbers
Step-by-step explanation:
Let's solve your inequality step-by-step.
−x2−6<0
Let's find the critical points of the inequality.
−x2−6=0
−x2−6+6=0+6(Add 6 to both sides)
−x2=6
−x2
−1
=
6
−1
(Divide both sides by -1)
x2=−6
x=±√−6(Take square root)
Answer:
What is a function?
Step-by-step explanation:
Answer:
A positive 15
Step-by-step explanation:
The key word earn tells us he's gaining.
