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8090 [49]
3 years ago
5

The graph of a system of equations with different slopes will have no solutions. Always Sometimes Never

Mathematics
1 answer:
Papessa [141]3 years ago
6 0

Answer:

Never

Step-by-step explanation:

If the graphs of the equations do not intersect (for example, if they are parallel), then there are no solutions that are true for both equations.If the graphs of the equations are the same, then there are an infinite number of solutions that are true for both equations.

Thats what my teacher tought me

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3 years ago
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QUESTION 3 [10 MARKS] A bakery finds that the price they can sell cakes is given by the function p = 580 − 10x where x is the nu
Andru [333]

Answer:

(a)Revenue=580x-10x²,

Marginal Revenue=580-20x

(b)Fixed Cost, =900

Marginal Cost,=300+50x

(c)Profit Function=280x-900-35x²

(d)x=4

Step-by-step explanation:

The price, p = 580 − 10x where x is the number of cakes sold per day.

Total cost function,c = (30+5x)²

(a) Revenue Function

R(x)=x*p(x)=x(580 − 10x)

R(x)=580x-10x²

Marginal Revenue Function

This is the derivative of the revenue function.

If R(x)=580x-10x²,

R'(x)=580-20x

(b)Total cost function,c = (30+5x)²

c=(30+5x)(30+5x)

=900+300x+25x²

Therefore, Fixed Cost, =900

Marginal Cost Function

This is the derivative of the cost function.

If c(x)=900+300x+25x²

Marginal Cost, c'(x)=300+50x

(c)Profit Function

Profit, P(x)=R(x)-C(x)

=(580x-10x²)-(900+300x+25x²)

=580x-10x²-900-300x-25x²

P(x)=280x-900-35x²

(d)To maximize profit, we take the derivative of P(x) in (c) above and solve for its critical point.

Since P(x)=280x-900-35x²

P'(x)=280-70x

Equate the derivative to zero

280-70x=0

280=70x

x=4

The number of cakes that maximizes profit is 4.

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3 years ago
The ratio of girls to boys in the grade is 9 to 10. If there are 225 girls, how many boys are there?
MArishka [77]

Answer:

250 boys

Step-by-step explanation:

We know that the ratio is 9:10 from girls to boys

Take 225 and divide it by 9

225 ÷ 9 = 25

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If we put it in the ratio form:

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Check work:

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ahrayia [7]

Answer:

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Step-by-step explanation:

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BR=\dfrac{420,000}{8,572}

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3 years ago
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