Answer:
f(x) = 2/3 x +3
Step-by-step explanation:
We know the y intercept ( where it crosses the y axis) is 3
We can calculate the slope from 2 points (-3,1) and (0,3)
Slope = (y2-y1)/(x2-x1)
= (3-1)/(0--3)
= (3-1)/(0+3)
= (2/3)
The slope is 2/3
Since we know the slope and the y intercept, we can use the slope intercept form
y= mx+b
y = 2/3 x+3
f(x) = 2/3 x +3
Answer:
The percentage change is 140%
Step-by-step explanation:
Given
---- initial dimension
--- new width
--- new dimension
Required
The percentage increment
The length remains constant because only the width is extended.
The new area is:
Make L the subject
Substitute values for A and W
--- this is the length of the garden
Calculate the initial width:
Make W1 the subject
So, the initial area is:
The percentage change in area is:
Express as percentage
Given :
∆GHI is an isosceles triangle with a vertex angle H.
m∠H=80°
To Find :
The m∠I.
Solution :
Since, H is the vertex angle.
So, m∠I = m∠G = x
We know, by angle sum property of triangle :
m∠I + m∠G + m∠H = 180°
2x + 80° = 180°
x = 50°
Therefore, m∠I = 50° .
Answer:
To persuade, inform and entertain.
Step-by-step explanation:
You can remember it as PIE, if that helps!
F(x) = 3x^6 + 30x^5 +75x^4
Factoring 3x^4(x^2 +10x + 25) = 3x^4(x+5)(x+5) = 0
x = 0, -5 with -5 having a multiplicity of 2 are the zeroes.
