Answer:
(-2, 4)
Step-by-step explanation:
y = -3x - 2
y = -x +2
=> -3x - 2 = -x +2
-3x + x = 2 + 2
-2x = 4
x = -2
-x + 2 = y
2 + 2 = y
4 = y
Answer:
22.63
Step-by-step explanation:
v = √64 * h
= √64 * 8
= √64 * √8
= 8 * 2√2
= 16√2 = 22.63
Answer:
(17,3)
Step-by-step explanation:
Equation 1.
x=5y+2
Equation 2.
x-4y=5
To solve with substitution, it looks like the x-variable in the first equation is already isolated. So, plug the first equation into the x-variable in the second equation.
x-4y=5
(5y+2)-4y=5
y+2=5
y=3
Now that we found y, plug y into one of the equations to solve for x.
x=5y+2
x=5(3)+2
x=15+2
x=17
(17,3)
Production possibilities frontier, PPF, is defined as a representation of the point at which a country’s economy is most efficiently producing its goods and services. Efficient production means allocating its resources in the best way possible.
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The points in the PPF shifts outward. The more efficient production is the more the PPF shifts outward. With this in mind, any point found inside the PPF means that there is inefficient resource allocation. If the PPF shifts inward, it means that the efficiency production is regressing and available resources are not fully used to its potential which will lead to a downward turn of the economy.
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The question asks for the rate of toys per hour.
So we shall divide the total toys assembled by the total hours.
Its a five day week.
The number of hours allotted per day are 8.
So total allotted during the week are 8 × 5 = 40 hours.
Number of toys made during the week are 400.
Hence the number of toys assembled per hour per person
= number of toys / number of hours
= 400 / 40
= 10 toys per hour per person.
The average number of toys assembled per hour per person is 10.
