4) – 2x2 + 6x + 5 = 0 a. nonreal
b. real, irrational, and unequal
c. real, rational, and equal
d. real, rational, and unequal

b. real, irrational, and unequal

Step-by-step explanation:

Roots of a quadratic equation

The standard representation of a quadratic equation is:

where a,b, and c are constants.

Solving with the quadratic formula:

The argument of the radical is called the discriminant:

The nature of the solutions of the equation depends on the value of d as follows:

We are given the equation:

Here: a=-2, b=6, c=5. The discriminant is:

d = 116

Since d is positive and a non-perfect square, the roots are:

b. real, irrational, and unequal

8

step-by-step explanation:

to find the amount of gift bags to use all the supplies, find the gcf or greatest common factor. this is the largest number which multiplies evenly into each term.

48 has factors: 1, 2, 3, 4, 6, 8, 12. 16, 24, 48

80 has factors: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

64 has factors: 1, 2, 4, 8, 8, 16, 32, 64

the highest number factor they all share in common is 8. this means there will be 8 bags with 6 pencils, 10 markers, and 8 stickers in each bag.

hi there!

first we need to find out how much they are adding to each number to make the next number.

ex: 4 + 4 = 8, 8 + 8 = 16, and so on.

so continuing with 32,

32 + 32 = 64

64 + 64 = 128

128 + 128 = 256

256 + 256 = 512

4, 8, 16, 32, 64, 128, 256, 512

the 8th term of the sequence will be 512

hope this ! ~