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Brilliant_brown [7]
3 years ago
15

If R1 and R2 are the roots of x^2+4x-5=0

Mathematics
1 answer:
professor190 [17]3 years ago
3 0
Factor to find the roots.
(x+5)(x-1)=0

Proof:
5-1=4
5*-1=-5

Then apply the Zero Product Property.
(x+5)=0
x=-5

(x-1)=0
x=1

Roots: x=-5, x=1
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1/4+1/2=____<br> Simplest form
LUCKY_DIMON [66]

Hello!

To find our answer, we first convert 1/2 into fourths. We multiply it by 2/2, giving us 2/4.

2/4+1/4=3/4

Therefore, our answer is \boxed {\frac{3}{4}}.

I hope this helps!

8 0
3 years ago
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The local amusement park was interested in the average wait time at their most popular roller coaster at the peak park time (2 p
Effectus [21]

Answer:

Kindly check explanation

Step-by-step explanation:

Given the data:

118, 124, 108, 116, 99, 125, 138, 118, 119, 121, 65, 130, 120

Ordered data:

65, 99, 108, 116, 118, 118, 119, 120, 121, 124, 125, 130, 138

1.)

90th percentile :

0.9(n + 1)th term

n = sample size = 13

0.9(14) th term

= 12.6th term

= (12 + 13)th / 2

= (130 + 138) / 2

= 134

Third quartile (Q3) = 75th percentile

0.75(n + 1)th term

n = sample size = 13

0.75(14) th term

= 10.5th term

= (10 + 11)th / 2

= (124 + 125) / 2

= 124.5

What is the first quartile?

First quartile (Q1) :

0.25(n + 1)th term

n = sample size = 13

0.25(14) th term

= 3.5th term

= (3 + 4)th / 2

= (108 + 116) / 2

= 112

(4) What is the 10th percentile?

0.1(n + 1)th term

n = sample size = 13

0.1(14) th term

= 1.4th term

= (1 + 2)th / 2

= (65 + 99) / 2

= 82

(5) 65tb percentile :

0.65(n + 1)th term

n = sample size = 13

0.65(14) th term

= 9.1th term

= (9 + 10)th / 2

= (121 + 124) / 2)

= 122.5

(6) What is the IQR?

Q3 - Q1

124.5 - 112

= 12.5

(7) What are the lower and upper limits?

Maximum = 138

Minimum = 65

4 0
2 years ago
Eli, Daphne, Celeste, and Thaddeus ran for school president. The graph shows how the students in their school voted.
andrew11 [14]

Eli received the most votes

Step-by-step explanation:

Given percentages are:

Eli: 30%

Daphne: 27%

Celeste: 25%

Thaddeus: 18%

When a circle chart is used, the sum of all percentages is 100.

In case of finding the largest between the portions, the part with the greater percentage has the greater share in the chart.

According to given percentages, Eli has the highest percentage, which means that Eli received the most votes.

Hence,

Eli received the most votes

Keywords: Circle chart, percentages

Learn more about circle chart at:

  • brainly.com/question/10978510
  • brainly.com/question/11007026

#LearnwithBrainly

4 0
3 years ago
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En la preparación de un perfume se cuenta con dos tipos de esencia base: 1600 ml de una y 1680 ml de otra. Se quiere envasarlas,
Lostsunrise [7]

Answer:

33,600 frascos

Step-by-step explanation:

Resolvemos esta pregunta utilizando el método mínimo común múltiple

Encuentre y enumere los múltiplos de 1600 y 1680 hasta encontrar el primer múltiplo común. Este es el mínimo común múltiplo.

Múltiplos de 1600:

1600, 3200, 4800, 6400, 8000, 9600, 11200, 12800, 14400, 16000, 17600, 19200, 20800, 22400, 24000, 25600, 27200, 28800, 30400, 32000, 33600, 35200, 36800

Múltiplos de 1680:

1680, 3360, 5040, 6720, 8400, 10080, 11760, 13440, 15120, 16800, 18480, 20160, 21840, 23520, 25200, 26880, 28560, 30240, 31920, 33600, 35280, 36960

Por lo tanto,

LCM (1600, 1680) = 33,600

La menor cantidad de frascos necesarios es 33,600 frascos.

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The mean is 279.3 repeating.
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