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SpyIntel [72]
3 years ago
10

What is the discriminant of the quadratic equation 9x squared + -12x + 4 equal 0

Mathematics
2 answers:
Mumz [18]3 years ago
8 0

Answer:

0

Step-by-step explanation:

The general equation is ax^2 + bx + c = 0

and the discriminant is b^2 - 4ac.

For 9x^2 - 12x + 4 = 0, the discriminant is (-12)^2 - 4*9*4

= 144 - 144

= 0

A discriminant of 0 means there is one zero. More accurately since a quadratic equation has to have 2 zeroes the answer is  '1  zero Multiplicity 2.'

denpristay [2]3 years ago
7 0

Answer:

Discriminant: 0; 1 real solution

Step-by-step explanation:

To find the discriminant use the formula: b^2 - 4ac.

In this quadratic equation, 9x^2 - 12x + 4 = 0,

  • a = 9
  • b = -12
  • c = 4

Substitute these values into the discriminant equation.

(-12)^2 - 4(9)(4)

Evaluate the exponent and multiply 4 * 9 * 4.

144 - 144

Subtracting these two numbers together gives you 0; the discriminant is 0.

Based on this discriminant you know that there is only 1 real solution to the quadratic equation.

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Which rational number also belongs to the set of whole numbers?
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Answer: A) 15

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Step-by-step explanation:

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3 years ago
A high school band asked a number of students whether they would like blue, gold, or both for the uniforms for the band. The res
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Given a Venn diagram showing the number of students that like blue uniform only as 32, the number of students that like gold uniform only as 25, the number of students that like blue and gold uniforms as 12 and the number of students that like neither blue nor gold uniform as 6.

Thus, the total number of students interviewed is 75.

Recall that relative frequency of an event is the outcome of the event divided by the total possible outcome of the experiment.

From the relative frequency table, a represent the relative frequency of the students that like gold but not blue.
From the Venn, diagram, the number of students that like gold uniform only as 25, thus the relative frequency of the students that like gold but not blue is given by
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Therefore, a = 33% to the nearest percent.

Similarly, from the relative frequency table, b represent the relative frequency of the students that like blue but not gold.
From the Venn, diagram, the number of students that like blue uniform only as 32, thus the relative frequency of the students that like gold but not blue is given by
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3 years ago
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Aleksandr [31]

Answer:

26.75 units²

Step-by-step explanation:

This shape can be split into 3 triangles and a square. Find the area of each shape then add them all up.

A(Square)=2(2)=4\\\\A(Triangle)=\frac{1}{2}(2)(2)=2\\\\A(Triangle)=\frac{1}{2}(5)(2)=5\\\\A(Triangle)=\frac{1}{2}(9)(3.5)=15.75\\\\A(Shape)=4+2+5+15.75=26.75

Therefore, the area of the shape is 26.75 units².

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3 years ago
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