Duru has an ice-cream stand, which she opens on warm days. When open for business, her daily profit, PPP, is a function of the number, nnn, of cones she sells and can be modeled by the function P(n)=2n-20P(n)=2n−20P, left parenthesis, n, right parenthesis, equals, 2, n, minus, 20. Additionally, she finds that the number, CCC, of cones she sells is a function of the average temperature, ttt, in degrees Celsius (^\circ\text{C})(∘C)left parenthesis, degrees, start text, C, end text, right parenthesis, and can be modeled by the function C(t)=50+10(t-10)C(t)=50+10(t−10)C, left parenthesis, t, right parenthesis, equals, 50, plus, 10, left parenthesis, t, minus, 10, right parenthesis. Which expression gives Duru's profit on a day with an average temperature of t^\circ\text{C}t∘Ct, degrees, start text, C, end text?

pentagon

step-by-step explanation:

the coordinates   a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.

c.

step-by-step explanation:

because first you have to add the 4x, 9x, and the 7x together and you get 20x and then you add the last numbers up and you get 5and then you put the subtraction sign in there and that's how you get the answer.

dilation scale factor 2: starting with δabc, draw the dilation image of the triangle with a center at the origin and a scale factor of two. notice that every coordinate of the original triangle has been multiplied by the scale factor (x2). dilation with scale factor 2, multiply by 2.