Answer:
irst, solve for two points which solve the equation and plot these points:
First Point: For
x
=
0
f
(
0
)
=
(
−
2
⋅
0
)
−
3
f
(
0
)
=
0
−
3
f
(
0
)
=
−
3
or
(
0
,
−
3
)
Second Point: For
x
=
−
2
f
(
−
2
)
=
(
−
2
⋅
−
2
)
−
3
f
(
−
2
)
=
4
−
3
f
(
−
2
)
=
1
or
(
−
2
,
1
)
We can next plot the two points on the coordinate plane:
graph{(x^2+(y+3)^2-0.035)((x+2)^2+(y-1)^2-0.035)=0 [-10, 10, -5, 5]}
Now, we can draw a straight line through the two points to graph the line:
graph{(y + 2x + 3)(x^2+(y+3)^2-0.035)((x+2)^2+(y-1)^2-0.035)=0 [-10, 10, -5, 5]}
Step-by-step explanation:
(a² + b² - 2ab) + 2ac - 2bc = (a - b)² + 2c(a-b) = (a-b)(a-b +2c)
y = mx + b where m = slope and b = y intercept
In this case, it's given a slope of 2/3 and a y-intercept of 9
So equation y = 2/3 x + 9
Answer
y = 2/3 x + 9
E - English homework, M - Math homework;
M + E ≤ 2 hours
M = 2 E
2 E + E ≤ 2 hours
3 E ≤ 2 hours = 120 minutes
E ≤ 120 : 3
E ≤ 40 minutes
Answer:
The student will be able to finish his English homework in less or equal to 40 minutes.