The answer to this would be 1/5.
hope this helps
Subtitute f(x) with 2x + 1, and subtitute g(x) = -x + 4
f(x) = g(x)
2x + 1 = -x + 4
Then solve the equation above to find the value of x
Move the coefficient-variable x to the left side, and move the constants to the right side. When they are moved, addition becomes substraction, substraction becomes addition
2x + 1 = -x + 4
2x + x = 4 - 1
Simplify the equation
2x + x = 4 - 1
3x = 3
Move 3 on the left side to the right side, it becomes denominator
3x = 3
x = 3/3
x = 1
The solution to the equation is
x = 1
2 would be the correct answer.
10/5 = 2/1 = 2
Answer:
(-2,4)
Step-by-step explanation:
The solution is the point at which the two lines intersect, (-2,4). That point is the only one that satisfies (works) in both equations:
y = x + 6
4 = -2 + 6
and
y = -0.5x + 3
4 = -0.5(-2) + 3
4 = 1 + 3
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You can also solve it algebraically:
y = x + 6
y = -0.5x + 3
-0.5x + 3 = x + 6 [Use the value of y from the second equation in the first equation]
-1.5x = 3
x = -2
Use this is y = -2 + 6:
y = 4
(-2,4)
Answer:
The correct answer is 10 units.
Step-by-step explanation:
Profit function of a small business is given by P(x) = 0.3
+ 7x - 40, where x is the number of units sold.
The small business intend to make a profit of $60.
To find out the number of units the business has to sell in order to have a profit of $60 is given by,
P(x) = 0.3 + 7x - 40 = 60
⇒ 0.3 + 7x - 100 = 0
⇒ 3 + 70x - 1000 = 0
⇒ x = -70 ± 
× 
⇒ x = -70 ± 130 ×
⇒ x = 10 or -
Quantity sold cannot be negative giving us the value of x as 10 units.
