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3 years ago

10

At a theme park, the ticket price for children is c for adults is $17 more than that. Write an expression to show the cost of ti

ckets for 2 adults and 5 children. Simpilfy the expression.

1 answer:

aev [14]3 years ago

6 0

Answer:

Cost is 7c+34.

Step-by-step explanation:

2(c+17) + 5c

=2c+34+5c

=7c+34

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The drama club spent $35 on decorations and $8.50 per person on food for a cast party. The total cost of the food

jenyasd209 [6]

Answer:

Option C) 27 people

Step-by-step explanation:

Let

x ----> the number of people

we know that

The cost of decorations ($35) plus the number of people (x) multiplied by the cost per person on food ($8.50) must be equal to $264.50

so

The linear equation that represent this situation is

$35+8.50x=264.50$

solve for x

Subtract 35 both sides

$8.50x=264.50-35$

$8.50x=229.50$

Divide by 8.50 both sides

$x=229.50/8.50$

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5 0

3 years ago

P(x)=Third-degree, with zeros of −3, −1, and 2, and passes through the point (1,12).

Mila [183]

Answer:

The polynomial is:

$p(x) = -x^3 - 2x^2 + 5x + 6$

Step-by-step explanation:

Zeros of a function:

Given a polynomial f(x), this polynomial has roots $x_{1}, x_{2}, x_{n}$ such that it can be written as: $a(x - x_{1})*(x - x_{2})*...*(x-x_n)$ , in which a is the leading coefficient.

Zeros of −3, −1, and 2

This means that $x_1 = -3, x_2 = -1, x_3 = 2$ . Thus

$p(x) = a(x - x_{1})*(x - x_{2})*(x-x_3)$

$p(x) = a(x - (-3))*(x - (-1))*(x-2)$

$p(x) = a(x+3)(x+1)(x-2)$

$p(x) = a(x^2+4x+3)(x-2)$

$p(x) = a(x^3+2x^2-5x-6)$

Passes through the point (1,12).

This means that when $x = 1, p(x) = 12$ . We use this to find a.

$12 = a(1 + 2 - 5 - 6)$

$-12a = 12$

$a = -\frac{12}{12}$

$a = -1$

Thus

$p(x) = -(x^3+2x^2-5x-6)$

$p(x) = -x^3 - 2x^2 + 5x + 6$

6 0

3 years ago