Albert is organizing an end of term party. The cost of renting a hall for an evening is $100. The cost of food is $8 per person. How much will the party cost if 20 people attend? 50 people attend? Write an algebraic expression for the cost of the party if n people attend. Suppose Albert decides to hire a DJ for the party. The DJ charges $250 for the evening. What is the new cost of the party when n people attend? Suppose the cost of food increases by $2 per person. Write an expression for the total cost of the party with a DJ for n people. The new food price is in effect. How much will the party with a DJ cost for 40 people? Show your work.

Answers

Answer 1

Answer: Algebraic expression: 100+8n=x
cost if 20 people attend: 100+8*20 = 100+160
cost if 50 people attend: 100+8*50 = 100+400
New cost of the party when 'n' people attend:100+250+8n=x
Cost for party with 40 people and dj:100+250+n(8+2)=x

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Step-by-step explanation:

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Answers

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Answers

Answer:

Q matches to a and P matches to b

Step-by-step explanation:

This is a volume question so we can use the volume of a cylinder to see which one corresponds to what. Volume of a cylinder is $\pi$ $r^(2)$ h. We know that the heights of the cylinders are the same since the diagram says so. We also know pi is the same since thats a constant. The only thing thats different is the radius (as you can see radius of P is bigger than Q). If the radius of P is bigger than Q and all the other things are the same (height is the same and pi is the same), then that automatically means that P has more volume than Q. More volume means more time to fill up. Since Q has less volume, it will take less time to fill up. So now we look at the graph. A shows that the height of water increases at a faster rate than that of B. This is because there is less volume in that container (less volume=less time to fill up). Therefore a matches to Q and therefore b matches to P

the graph of F(x), shown below, has the same shape as the graph of G(x) = x^2, but it is shifted down 4 units and to the right 3 units. What is its equation?

Answers

Answer:

$F(x)=(x-3)^(2)-4$

Step-by-step explanation:

The graph of F(x) is a translation of the graph of G(x) by 4 units down and 3 units right.

$G(x)=x^(2)$

4 units down is the vertical shift. Vertical shift is obtained by adding or subtracting a number from the function value. Subtraction indicates a downward shift and addition indicates an upward shift. Since the graph is shifted 4 units down, the new equation after this translation will be:

$x^(2) - 4$

3 units to the right is the horizontal shift. Horizontal shift is obtained by adding or subtracting a number from x. Subtraction indicates a shift towards right and addition indicates a shift towards left. Since the graph is being shifted 3 units to right, the new equation after this transformation will be:

$F(x)=(x-3)^(2)-4$

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