Replace * with a number in such a way that the trinomial could be written in the form a(x+b)^2 or a(x-b)^2. a) 1.5x^2+6x+*

b) 2x^2-5x+*

Step-by-step explanation:

a)

b)

Solution given;

a. 1.5x^2+6x+*

1.5(x²+4x+*)

1.5(x²+2.2x+2²)

1.5(x+2)²

b) 2x^2-5x+*

2(x²-5x/2+*)

2(x²-2×5/4 ×x +(5/4)²)

2(x-5/4)²

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)

(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.