How many solutions exist for the given equation? StartFraction one-half left-parenthesis x plus 12 right-parenthesis equals 4 x
2 answers:
Answer:
Only one solution.
Step-by-step explanation:
We have to solve for x from a linear single variable equation of x.
We have to determine the number of the solution of the given equation.
The equation is
⇒ x + 12 = 8x - 2
⇒ 7x = 14
⇒ x = 2
So, there is only one solution of the given equation of x. (Answer)
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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.
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.