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Veseljchak [2.6K]
3 years ago
9

Every female chicken lays 4 eggs. What is the constant of proportionality for the ratio of eggs to female chickens? 4 3

Mathematics
1 answer:
satela [25.4K]3 years ago
4 0

Since every female chicken lays 4 eggs, if you have one chicken you have 4 eggs, if you have two chicken you have 8 eggs, and so on.

We can even build a little table to show some values:

\begin{array}{c|c}1&4\\2&8\\3&12\\4&16\\5&20\\\vdots & \vdots\\n& 4n\end{array}

So, as you can see, the ratio between the number of eggs and the number of female chicken is 4.

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Which statements about functions g(x) = x2 - 4x + 3 and f(x) = x2 - 4x are true? Select all that apply.
Tanya [424]

Answer:

A and B

Step-by-step explanation:

We are given that

g(x)=x^2-4x+3

g(x)=(x^2-2\times x\times 2+4)-4+3=(x-2)^2-1

Compare with it

y=(x-h)^2+k

Where vertex=(h,k)

We get

Vertex of g=(2,-1)

f(x)=x^2-4x=(x^2-2\times x\times 2+4)-4=(x-2)^2-4

Vertex of f=(2,-4)

Equation of axis of symmetry=x-coordinate of vertex

Axis of symmetry of g

x=2

Axis of symmetry of f

x=2

Differentiate w.r.t x

g'(x)=2x-4=0

2x-4=0\implies 2x=4

x=\frac{4}{2}=2

f'(x)=2x-4

2x-4=0\implies 2x=4

x=\frac{4}{2}=2

g''(x)=2>0

f''(x)=2>0

f and g have both minima at x=2

Hence, option A and B are true.

8 0
4 years ago
Trend lines
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Answer: the slope is 3 and the intercept is 0.

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To determine the slope for a straight line (y=a*x+b)we take the two points that are shown and apply the following equation:

To determine the intercept we put the slope which we calculated into the equation for the point (2,6) and clear for b

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maks197457 [2]

Answer:

20 children

Step-by-step explanation:

We can see that 1 pint is equal to 2 cups. Since the jug holds 10 pints of milk, we can convert that to cups by multiplying by 2. We realize that the jug holds 20 pints of milk.

Since each child needs one cup of milk to be satisfied, we can state that the jug can satisfy 20 children.

3 0
3 years ago
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elixir [45]
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