A group of friends wants to go to the amusement park. They have no more than $175 to spend on parking and admission. Parking is $12.50, and tickets cost $16.25 per
person, including tax. Write and solve an inequality which can be used to determine
2, the number of people who can go to the amusement park.

10 people can/ 12.50+16.25x is less than or equal to 175

Step-by-step explanation: so parking is constant since it doesn't change. ticket price however is affected by a variable which represents ticket per person which is shown as 12.50(parking)+16.25x where x would equal the max amount of people while respecting the given 175 limit we cannot go over

b. an equilateral triangle inscribed in a circle

step-by-step explanation:

we are given the figure of two circles having a triangle inside.

now, we know that,

"when a figure is lying inside an another figure, then the outside figure is known as circumscribed figure and the figure lying inside is referred to as the inscribed figure".

as we see that, the circles are containing the triangle completely.

thus, the circles are the circumscribed figures and the triangle is the inscribed figure.

hence, we get, 'an equilateral triangle is inscribed in a circle'.

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.