Examine the quadratic equation 9x^2+24x+16=0.
a: what is the discriminant of the quadratic equation?
b: based on the discriminant, which statement about the roots of the quadratic equation is correct?
select one answer choice for question a, and select one answer choice for question b.
a: 120
a: -120
a: 0
b: there is one real root with a multiplicity of 2.
b: there are two real roots.
b: there are two complex roots

The correct answer options are,

A: 0

B: There is one real root with a multiplicity of 2.

Step-by-step explanation:

Discriminant of a quadratic equation ax² + bx + c = 0 is given by,

b² - 4ac

It is given a quadratic equation 9x² + 24x + 16 = 0

To find the discriminant

Here a = 9, b = 24 and c = 16

Discriminant = b² - 4ac

 = 24² - (4 * 9 * 16)

 = 576 - 576

 = 0

The correct options are

A: 0

B: There is one real root with a multiplicity of 2.

first, we define the variables:

x: number of years after 1950

f (x): amount of vinyl sold.

then, with the variables defined, we have:

68594 vinyl records were sold in 1958 > f (8) = 68594

91299 vinyl records were sold in 1961 > f (11) = 91299

38720 vinyl records were sold in 1952 > f (2) = 38720

161743 vinyl records were sold in 1967 > f (17) = 161743

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step-by-step explanation:

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 ! ~