Answer:
The inequality represented by the graph is y >
x - 3
Step-by-step explanation:
The form of the linear equation is y = m x + b, where
- m is the slope of the line
The rule of the slope is m =
, where
- (x1, y1) and (x2, y2) are two points on the line
<em>To find the inequality represented by the graph, find at first the equation of the line</em>
∵ The line passes through points (0, -3) and (3, -2)
∴ x1 = 0 and y1 = -3
∴ x2 = 3 and y2 = -2
→ Substitute them in the rule of the slope above to find it
∵ m =
=
= 
∴ m = 
→ Substitute it in the form of the equation above
∴ y =
x + b
∵ b is the y-intercept ⇒ value y at x = 0
∵ y = -3 at x = 0
∴ b = -3
→ Substitute it in the equation
∴ y =
x + -3
∴ y =
x - 3
→ Let us change it to inequality
∵ The line is dashed
∵ The shading area is above the line
∴ The sign of inequality should be >
∴ y >
x - 3
∴ The inequality represented by the graph is y >
x - 3
Y = 3x + 5
y - 5 = 3x
x = (y - 5)/3
g^-1(x) = (x - 5)/3
Answer:
x=((log(81))/(log(3))+2)/3
Step-by-step explanation:
so what you want to do is get 3x-2 out of the exponent
you can do that by using log
so apply log to both sides and you get
log(81)=(3x-2)log(3)
the 3x-2 is moved in front of the log due to a log rule
then (log(81))/(log(3))=3x-2
(log(81))/(log(3))+2=3x
((log(81))/(log(3))+2)/3=x
then use a calculator to find the exact value
hope this helps im sorry my explanation is a bit confusing, ask any questions you have
Answer:
Your answer would be -144
It =369 beacause it just is