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tigry1 [53]
2 years ago
15

The cost of holding a children's birthday party at a rollerskating rink is a function of n, the number of people in the party. T

he cost function C can be represented with this set of rules:
Question: How much will it cost with 20 people?
Mathematics
1 answer:
Bas_tet [7]2 years ago
4 0

Answer: It would cost $150 for a party of 9 people and it would cost $260 for 20 people

Step-by-step explanation:

The number 9 falls in between 0<n<_ 12 so the cost is 150

The number 20 falls in between 12<n<_ 20 so the cost is 260

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1. Evaluate.<br> 7b, for b= 5
MrRissso [65]

Answer:

35

Step-by-step explanation:

Since we know that 7 b is the equation and 5 is the value of b we can substitute b in 7 b.

b = 5

7 b = 7 × 5 = 35

4 0
3 years ago
A sequence can be generated by using an = an-1 + 4, where a1 = 6 and n is a whole number greater than 1. What are the first four
Firlakuza [10]

<u>Answer:</u>

  • The first four terms are <u>4</u><u>,</u><u>8</u><u>,</u><u>1</u><u>2</u><u>,</u><u>1</u><u>6</u>

<u>Step-by-Step </u><u>Explanation</u><u>:</u>

The given relation between the nth term and it's previous term is given by:

\boxed{an = an - 1 + 4}

GiveN:

  • a1 = 4

Now finding the other three terms of the AP with the given relation.

a2 = a1 + 4

Putting a1 = 4,

a2 =  4 + 4 = 8

Now, Third term:

a3 = a2 + 4

Putting a2 = 8,

a3 = 8 + 4 = 12

Now, Fourth term:

a4 = a3 + 4

Putting a3 = 12,

a4 = 12 + 4 = 16

Hence, The first four terms of the AP is 4, 8, 12 & 16.

7 0
2 years ago
Given the function f(x)=(x+3)^2 and g(x)=3x+13 determine the x values of the point intersection
charle [14.2K]

Answer:

x = - 4, x = 1

Step-by-step explanation:

At the point of intersection

f(x) = g(x) , that is

(x + 3)² = 3x + 13 ← expand left side using FOIL

x² + 6x + 9 = 3x + 13 ( subtract 3x + 13 from both sides )

x² + 3x - 4 = 0 ← in standard form

(x + 4)(x - 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 4 = 0 ⇒ x = - 4

x - 1 = 0 ⇒ x = 1

3 0
2 years ago
A ladder is placed with its foot 5m from the bottom of a wall 12m high. The top of the ladder just
Stels [109]

Answer:

13 m

Step-by-step explanation:

The ladder forms a right triangle with the wall that has legs of 5 and 12. We need to solve for the length of the ladder, which in this case, is the hypotenuse of the right triangle. You could use the Pythagorean Theorem but there's an easier way to do this. We can use the 5 - 12 - 13 Pythagorean triple so we know that the length of the ladder is 13 m.

8 0
3 years ago
A shirt originally cost $38.48, but it is on sale for $26.94. What is the percentage decrease of the price of the shirt? If nece
Vladimir79 [104]

Answer:

30(D)

Step-by-step explanation:

38.48-26.94=11.54

11.54÷38.48×100

≈30

8 0
2 years ago
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