Simplifying
a + 5 = -5a + 5
Reorder the terms:
5 + a = -5a + 5
Reorder the terms:
5 + a = 5 + -5a
Add '-5' to each side of the equation.
5 + -5 + a = 5 + -5 + -5a
Combine like terms: 5 + -5 = 0
0 + a = 5 + -5 + -5a
a = 5 + -5 + -5a
Combine like terms: 5 + -5 = 0
a = 0 + -5a
a = -5a
Solving
a = -5a
Solving for variable 'a'.
Move all terms containing a to the left, all other terms to the right.
Add '5a' to each side of the equation.
a + 5a = -5a + 5a
Combine like terms: a + 5a = 6a
6a = -5a + 5a
Combine like terms: -5a + 5a = 0
6a = 0
Divide each side by '6'.
a = 0
Simplifying
a = 0
Refer to the diagram shown below.
The given constraints are
(a) y ≥ 24 ft
(b ) x ≤ 10 ft
(c) y ≥ 3x
(d) y ≤ 33 ft
The acceptable region is shown shaded.
A (0, 33) satisfies all conditions
B (4, 36) fails condition (d)
C (4.8, 30.5) satisfies all conditions
D (9, 26) fails condition (c)
E (2, 22) fails condition (a)
Answer:
The acceptable points are A and C.
Answer:
Check the explanation
Step-by-step explanation:
Kindly check the attached image below to see the step by step explanation to the question above.
Answer:
x≤9
Step-by-step explanation:
x−6≤3
Add 6 to both sides.
x≤3+6
Add 3 and 6 to get 9
x≤9
Answer:
y = (-4/5)x - 7/5
Step-by-step explanation:
The general equation of the line is slope-intercept form is:
y = mx + b
In this form, "m" represents the slope and "b" represents the y-intercept. You have been given the value of the slope (m = -4/5). To find the y-intercept, use the slope and values from the Point (2,-3) to isolate "b".
y = mx + b <----- Slope-intercept form
y = (-4/5)x + b <------ Plug -4/5 in "m"
-3 = (-4/5)(2) + b <----- Plug in "x" and "y" values from Point
-3 = -8/5 + b <------ Multiply -4/5 and 2
-15/5 = -8/5 + b <----- Assign common denominator
-7/5 = b <----- Add 8/5 to both sides
Now that you have the slope and y-intercept, you can construct the equation.
y = (-4/5)x - 7/5