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ira [324]
3 years ago
15

A real root of X3 – 3x2 + x + 7 = 0 lies between two consecutive integers.

Mathematics
1 answer:
mamaluj [8]3 years ago
3 0

Answer:

B. between -2 and -1

Step-by-step explanation:

Brainlyist please

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Find the value of the variable y, where the sum of the fractions 6/(y+1) and y/(y-2) is equal to their product.
Blizzard [7]

Answer:

The answer is

y = 3

y =  - 4

Step-by-step explanation:

We must find a solution where

\frac{6}{y + 1}  +  \frac{y}{y - 2}  =  \frac{6}{y + 1}  \times  \frac{y}{y - 2}

Consider the Left Side:

First, to add fraction multiply each fraction on the left by it corresponding denomiator and we should get

\frac{6}{y + 1}  \times  \frac{y - 2}{y - 2}  +  \frac{y}{y - 2}  \times  \frac{y + 1}{y + 1}

Which equals

\frac{6y - 12}{(y -2) (y + 1)}  +  \frac{ {y}^{2} + y }{(y - 2)(y + 1)}

Add the fractions

\frac{y {}^{2} + 7y - 12 }{(y - 2)(y + 1)}  =  \frac{6}{y + 1}  \times  \frac{y}{y - 2}

Simplify the right side by multiplying the fraction

\frac{6y}{(y  + 1)(y + 2)}

Set both fractions equal to each other

\frac{6y}{(y + 1)(y - 2)}  =  \frac{ {y}^{2} + 7y - 12}{(y + 1)(y - 2)}

Since the denomiator are equal, we must set the numerator equal to each other

6y =  {y}^{2}  + 7y - 12

=  {y}^{2}  + y - 12

(y  + 4)(y - 3)

y =  - 4

y = 3

6 0
3 years ago
Read 2 more answers
The equation yˆ=−5.131x2+31.821x−3.333 approximates the number of people standing in line to catch a commuter train x hours afte
Amanda [17]
Y ( 2 ) = - 5.131 · 2² + 31.821 · 2 - 3.3333 = 
= - 5.131 · 4 + 63.642 - 3.3333 = -20.524 + 63.642 - 3.3333 = 39.78 ≈ 40
Answer: B ) 40.
6 0
3 years ago
Read 2 more answers
A man walks at 60km/ hr. How long does he walks between 9:30 am and 12 noon​
N76 [4]

Answer:

He walks 150 km in 2.5 hours.

Step-by-step explanation:

From 9:30 a.m. to noon, it's 2.5 hours.

distance = speed * time

distance = 60 km/h * 2.5 h

distance = 150 km

Answer: He walks 150 km in 2.5 hours.

3 0
3 years ago
To gather information on customer satisfaction, a researcher goes into each store and interviews six randomly selected customers
Slav-nsk [51]

Answer:

Convenience sampling.

Step-by-step explanation:

To gather information on customer satisfaction, a researcher goes into each store and interviews six randomly selected customers at each store. This sampling technique is called convenience sampling.

Convenience sampling can be defined as a sampling method which involves the researcher selecting or collecting data that is easily available or choosing the individuals who are easiest to reach in a population. It is a type of non-probability method of sampling where the first or easiest available data source is being used by the researcher without other requirements.

In this scenario, to gather information on customer satisfaction, the researcher went to the store most likely situated in a shopping mall to collect data from six (6) customers in each stores.

<em>Some of the advantages of convenience sampling are low cost, data are collected quickly, lesser rules etc. </em>

3 0
3 years ago
Which equation has the same solution as x2 – 6x – 14 = 0?
grandymaker [24]
4x would be your answer
4 0
3 years ago
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