Let the number of chickens = c.
Let the number of pigs = p.
A chicken has 1 head and 2 legs.
c number of chickens have c heads and 2c legs.
A pig has 1 head and 4 legs.
p number of pigs have p heads and 4p legs.
There are 40 heads.
Equation for heads:
c + p = 40
There are 110 legs.
Equation for legs:
2c + 4p = 110
System of equations:
c + p = 40
2c + 4p = 110
Solve the first equation of the system of equations for c:
c = 40 - p
Substitute 40 - p for c in the second equation:
2c + 4p = 110
2(40 - p) + 4p = 110
80 - 2p + 4p = 110
80 + 2p = 110
2p = 30
p = 15
Now substitute p = 15 in the first equation to find c.
c + p = 40
c + 15 = 40
c = 25
There are 25 chickens and 15 pigs.
This is about interpretation of quadratic equation graphs.
<u><em>- The parabola that is continuous represents f(x) = (x+3)(x-4)</em></u>
<u><em>- The parabola that is a broken line represents g(x) = 1/3(x+3)(x-4)</em></u>
<u><em>- This is because calculating their y-intercept respectively corresponds with what is on the graph.</em></u>
a) f(x) = (x+3)(x-4)
Let us confirm the x-intercept.
x-intercept here is when y = 0.
Thus, at y = 0; x + 3 = 0 and x - 4 = 0
Thus, at y = 0; x = -3 and y = 4
- Let's now find the y-intercept;
y-intercept occurs when x = 0
Thus; y - intercept = (0 + 3)(0 - 4)
y - intercept = -12
- Looking at the graph given, the only one that has it's y-intercept as -12 is the graph that has a continuous line.
- This means the other graph that has dashed line would represent the other polynomial g(x)=1/3(x + 3)(x - 4)
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Distance between home and school(on map)=5cm
every 4cm=8km
therefore distance between home and school=
5/4×8 = 1.25×8 = 10km
The result of the log function 
is 60
According to the law of logarithm if 
then 
Given the following expressions
This can be expressed as
Substitute the value of m and n into the expression to have:
This shows that the result of the log function is 60
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Answer:
the answer is 5 cups. Hope this helps
