Answer:
C
Step-by-step explanation:
the factor of x in the equation is the slope, which is the ratio y/x indicating how many units y changes, when x changes a certain amount of units.
going from the left point to the right point x changes by +3 units, and y changes by -1 unit.
so, the slope (and factor of x in the equation) is -1/3.
and the constant term in the equation is the y (axis) intercept of the line.
this is the y value, when x = 0 (intercepting the y axis).
and we see in the graph, when x = 0, the line goes through y = 2.
so, the equation has to be
y = -1/3 × x + 2
therefore, C is the right answer.
Answer:
Step-by-step explanation:
The given function is
f(x) = 4x
As we know
f(x) = y, which implies x= 
Therefore,
y = 4x
x = 
as x=
So,
replacing y by x in the above expression
So our inverse function is
Answer:
x=4
Step-by-step explanation:
Pentagon's sum of interior angle is 540°
let's add all the given degrees
100+20x+16x+16+140+160-5x=540
Collect like terms
100+16+140+160+20x+16x-5x=540
416+31x=540
31x=540-416
31x=124
x=124/31
x=4```
Answer:
The diameter is 7 ft.
Step-by-step explanation:
Circumference= Diameter*pi
Move all terms to one side
4w^2 + 49 + 28w = 0
Rewrite 4w^2 + 49 + 28w in the form a^2 + 2ab + b^2, where a = 2w and b = 7
(2w)^2 + 2(2w)(7) + 7^2 = 0
Use the Square of Sum: (a + b)^2 = a^2 + 2ab + b^2
(2w + 7)^2 = 0
Take the square root of both sides
3w + 7 = 0
Subtract 7 from both sides
2w = -7
Divide both sides by 2
<u>w = -7/2</u>
