Which are the roots of the quadratic function f(b) = b2 – 75? select two options. b = 5 startroot 3 endroot b = negative 5 startroot 5 endroot b = 3 startroot 5 endroot b = negative 3 startroot 5 endroot b = 25 startroot 5 endroot

b = 5 StartRoot 3 EndRoot

b = Negative 5 StartRoot 3 EndRoot

Step-by-step explanation:

we have

Remember that the root of a function is the value of x when the value of the function is equal to zero

In this problem

The roots are the values of b when the function f(b) is equal to zero

so

For f(b)=0

square root both sides

Simplify

 and

therefore

b = 5 StartRoot 3 EndRoot

b = Negative 5 StartRoot 3 EndRoot

geometric series converge the common ratio r has magnitude less than one.

which is equivalent to

for the example we need

|2-x| < 1

-1 < 2-x   and 2-x < 1

x < 3 and x > 1

we can write that

answer: 1 < x < 3

1a. common ratio r=250/25=10 > 1     diverges

1b.   r=50/100=1/2 converges

when these converge they converge to

where a is the first term.

answer: 200

1c. r=-1   so it's not the case that |r| < 1.     diverges

2a. x is the common ratio so we converge when |x|< 1

2b.   r=-10x / -2 = 5x.

we converge when

|5x| < 1

|x| < 1/5

2c.   r=3-2x

-1 < 3-2x and 3-2x < 1

-4 < -2x and 2 < 2x

x < 2 and 1 < x

1 < x < 2

2d. [/tex] r=-48x^3/12 = 4x^3[/tex]

|4x^3| < 1

|x^3| < \frac 1 4

|x| < 4^{-1/3}

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.