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Over [174]
2 years ago
5

What is the discriminant of f(x)=2x^2+8x+16 and the number and type of roots​

Mathematics
2 answers:
vfiekz [6]2 years ago
7 0

Answer:

2 imaginary roots

Step-by-step explanation:

The discriminate is the portion of the quadratic equation under the square root

D = b^2 - 4ac

D = 8^2 - 4(2)(16)

D = 64 - 128

D = -64

Since the discriminate is negative the square root will be imaginary

and there will be 2 of them

2 imaginary roots

vekshin12 years ago
7 0

9514 1404 393

Answer:

  • discriminant: -64
  • two complex roots

Step-by-step explanation:

The discriminant of ax² +bx +c = 0 is b²-4ac. Here, we have ...

  a=2, b=8, c=16

so, the discriminant is 8² -4(2)(16) = 64 -128 = -64

A negative discriminant indicates there are two conjugate complex roots.

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Solve the equation.<br> 8x= 72
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Answer:

X=9

You divide 8 in each side and you will get x=9

Step-by-step explanation:

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3 years ago
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What kind of triangle is Triangle CED categorized by side lengths?
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I believe there has to be an image included with this question my friend. Thine error hath been made known by the supreme lord of dao.
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3 years ago
explain how the singular forms of morning, night, monday, and tuesday may be changed to the plural forms every-morning every-nig
Rus_ich [418]

Besides using the word "every" before the singular forms of the words above, they can also be changed to their plural forms by adding "s" behind them. For example "morning" becomes "mornings".

<h3>

Plural form of Morning in a Sentence</h3>

  • He works mornings. or
  • Mornings, I like to exercise.

Other examples related to the words above are:

  • The Tuesdays in March are going to be very busy.
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See the link below for more about the Plural forms:

brainly.com/question/586494

5 0
2 years ago
Mrs. Simmons gave a history test worth 92 points. There were only two types of questions on it: 2-point true/false questions and
SVETLANKA909090 [29]

Answer:

There are 8 true/false questions and 26  fill-in-the-blank questions.

Step-by-step explanation:

Let "t" be the number of 2-point true/false questions and "f" the number of 5-point fill-in-the-blank questions.

Mrs. Simmons gave a history test worth 92 points. Symbollically,

2 t + 5 f = 92   [1]

There were a total of 34 questions in the test. Symbollicaly,

t + f = 34

t = 34 - f   [2]

If we replace [2] in 1, we get

2 (34 - f) + 5 f = 92

68 - 2 f + 5 f = 92

3 f = 24

f = 8

We replace f = 8 in [2],

t = 34 - 8 = 26

There are 8 true/false questions and 26  fill-in-the-blank questions.

7 0
2 years ago
Half of a sphere is stacked on top of a cone. They both share a circular base. The radius of the circle is 6 millimeters. The he
Flauer [41]

Answer:

312π mm^2

Step-by-step explanation:

to find the volume of the figure, you have to calculate the volume of a cone and the volume of a sphere divided it by 2.

The volume of a cone is 1/3 * π * r ^ 2 * h, replacing the information:

V = 1/3 * (6) ^ 2 * (14) = 168π  mm^2

The volume of a sphere is 4/3 * π * r ^ 3, replacing the information:

V = 4/3 * π * (6) ^ 3 = 288π  mm^2

but since you only have half the sphere

V = 288π / 2 = 144π  mm^2

then the total volume is

Vt = 168π + 144π = 312π mm^2

5 0
3 years ago
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