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makkiz [27]
4 years ago
12

What us the value of the discriminant of the quadratic equation -2^2=-8x+8 and what does its value mean about the number of a re

al number solutions the equation has
Mathematics
1 answer:
svlad2 [7]4 years ago
3 0

ANSWER

The discriminant is zero.

The given equation has one real root.

EXPLANATION

The given quadratic equation is:

- 2 {x}^{2}  =  - 8x + 8

We rewrite this in the form;

a {x}^{2}  + bx + c = 0

- 2 {x}^{2}  + 8x  - 8 = 0

This means that,

a=-2, b= 8, c=-8

The discriminant is given by;

D=b² - 4ac

That is:

D =  {8}^{2}  - 4( - 2)( - 8)

D =  64  - 64 = 0

Therefore the discriminant is zero.

This tells us that the quadratic equation has one real root.

In order words, the given quadratic equation has a repeated real root.

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The Florida Tourist Commission selected a random sample of 200 people that attended one or more concerts during the first weeken
Alina [70]

Answer:

0.8 or 80%

Step-by-step explanation:

Let A and B be the events

<em>A: “The concert goer went to Orlampa Skydome” </em>

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<em> </em>Then the probability P(A) that a concert goer went to Orlampa Skydome is

<em>P(A) = 120/200 = 0.6 </em>

Similarly,

<em> P(B) = 100/200 = 0.5 </em>

<em> </em>We are looking for P(A∪B), the probability that a concert goer went to Orlampa Skydome OR the Bithlo Megaplax.

We know that

P(A∪B) = P(A) + P(B) - P(A∩B)

but P(A∩B) is the likelihood that a concert goer went to Orlampa Skydome AND the Bithlo Megaplax.

Since the events are independent,  

<em> P(A∩B) = P(A)P(B) = 0.6*0.5 = 0.3 </em>

and

P(A∪B) = 0.6 +0.5 - 0.3 = 0.8 or 80%

6 0
3 years ago
Find the H.C.F of 144,180,240,300​
aliina [53]
Answer:
GCF = 12

for the values 144, 180, 240, 300

Solution by Factorization:

The factors of 144 are: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

The factors of 180 are: 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

The factors of 240 are: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

The factors of 300 are: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Then the greatest common factor is 12.
8 0
3 years ago
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andreev551 [17]

Answer:

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Step-by-step explanation:

6 0
3 years ago
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andriy [413]

Answer:

<u>Geometric Progression</u> is the explicit rule for the given sequence: 11, 22, 44, 88...

First term (a) = <u>11</u>

Common ratio (r) = 22/11 = 44/22 = 88/44 = <u>2</u>

Formula used in Geometric Progression is :---

\boxed{a_n = a {r}^{(n - 1)}}✓\\

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Martina opens a savings account with an initial
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Answer:the answer is c

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