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ivolga24 [154]
3 years ago
8

What is the discriminant of the quadratic function 3x2−x+11=0 ?

Mathematics
1 answer:
professor190 [17]3 years ago
6 0
The correct answer is: A) -131
{b}^{2}  - 4ac \:  \: where \: b =  - 1. \: a = 3. \\ c = 11 \\  { - 1}^{2} - 4(3)(11) = 1 - 4(33)  \\ = 1 - 132   =  - 131
The discriminant = b2 – 4ac determined from the coefficients of the equation ax2 + bx + c = 0. The discriminant reveals what type of roots the equation has.
Note: b2 – 4ac comes from the quadratic formula.
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1. The value x = 4 is a solution to all of the following equations except which?
MatroZZZ [7]

Answer:

(4) x+12=5x-2

Step-by-step explanation:

Substitute x=4 in all the options to check equality

5 0
4 years ago
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A third grade class has 16 girls and 15 boys a fourth grade class has 18 boys and 15 girls when picking for PE captains will mak
Mkey [24]

Answer:

\dfrac{90}{341}

Step-by-step explanation:

3rd grade:

Number of girls = 16

Number of boys = 15

Total number of students = 31

4th grade:

Number of girls = 15

Number of boys = 18

Total number of students = 33

Formula for probability of an event <em>E</em> can be observed as:

P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}

Probability of picking a boy from <em>3rd grade</em>, P_{1} = \dfrac{15}{31} ..... (1)

Probability of picking a boy from <em>4th grade</em>, P_{2} = \dfrac{18}{33} ..... (2)

These are two independent events of picking a boy from 3rd grade and 4th grade.

So, probability the captain chooses 2 boys in the first pick can be found by multiplying (1) and (2) above.

P = P_{1} \times P_{2}\\\Rightarrow \dfrac{15}{31} \times \dfrac{18}{33}\\\Rightarrow \dfrac{90}{341}

3 0
3 years ago
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Please help i don’t get angles
Elenna [48]
A.) alternate exterior angles
4 0
3 years ago
An angle whose measure is _____ is rotated more than halfway around a circle
zaharov [31]

The correct answer is 60⁰.

Step-by-step explanation:

  • An angle whose measure is 60⁰ is rotated more than halfway around a circle.
  • Since, we have to find the measure of angle.  
  • As we already know that the angle of rotation about a circle is 360° therefore we have to find more than halfway of this angle.
  • Considering that an angle is rotated more than halfway around a circle be \frac{1}{6}
  • Multiplying \frac{1}{6} with 360⁰
  • Therefore, it can show as \frac{1}{6}×360⁰
  • Which gives the result to be 60⁰
  • Hence, when an angle is measured 60⁰, it is rotating more than halfway around a circle.
  • A single rotation around a circle is equal to 360 degrees.
  • The measurement of an angle shows the magnitude and direction of the rotation of the angle from its initial position to the final position.
  • If the rotation is in a counterclockwise direction, it has an angle with positive measure. If the rotation is clockwise, it has an angle which gives negative measure.

4 0
3 years ago
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What is an inverse statement
shusha [124]

Answer:

1 | noun | a message that is stated or declared; a communication (oral or written) setting forth particulars or facts etc

2 | noun | a fact or assertion offered as evidence that something is true

3 | noun | (music) the presentation of a musical theme

4 | noun | a nonverbal message

5 | noun | the act of affirming or asserting or stating something

6 | noun | (computer science) a line of code written as part of a computer program

7 | noun | a document showing credits and debits

(7 meanings)

4 0
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