Find the measure for angles y and z. If angle x has a measure of 60° and the measure of angle y is 15° more than twice the measure of angle z. Write a system of equations.

x = 60°, y = 85°, z = 35°

Step-by-step explanation:

(assuming that angles x, y, and z are the interior angles of a triangle)

System of Equations:

x = 60,

y = 2z + 15

x + y + z = 180

Substitute x for 60 and y for (2z + 15) in the third equation.

60 + (2z + 15) + z = 180

75 + 3z                 = 180

3z                         = 105

z                            = 35

Find y by plugging in 35 for z.

y = 2 × (35) + 15

y = 85

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204

(1, –1), (16, –4), (36, –6)

step-by-step explanation:

given that the function is

this can also be written as

we have to graph this function and check which list of points lie on the graph

see attachment for graph:

we find that the points lying are (1,-1) (16,-4) and (36,-6)

since square root is there we find that x can only be posiitve but y can be since square root both positive and negative.