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Margaret [11]
3 years ago
8

How do you show less than or equal too on a number line?

Mathematics
1 answer:
NISA [10]3 years ago
8 0
It is like if you have two number lines. Then one has a pointer at 0, and the other one has the pointer facing at 2 then it will be lesser because the first one has 0 or if it turned around it would be greater. If it is equal then it would have the same number, but watch out if it is a negative number.
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Solve equation, check for extraneous solutions
fiasKO [112]

Start with

1=\dfrac{1}{n^2}+\dfrac{n^2-4n-5}{3n^2}

We observe that both fractions are not defined if n=0. So, we will assume n \neq 0.

We multiply both numerator and denominator of the first fraction by 3 and we sum the two fractions:

1=\dfrac{3}{3n^2}+\dfrac{n^2-4n-5}{3n^2} = \dfrac{n^2-4n-2}{3n^2}

We multiply both sides by 3n^2:

n^2-4n-2=3n^2

We move everything to one side and solve the quadratic equation:

2n^2+4n+2=0 \iff 2(n^2+2n+1)=0 \iff 2(n+1)^2=0 \iff n+1=0 \iff n=-1

We check the solution:

1=\dfrac{1}{1}+\dfrac{1+4-5}{3} \iff 1 = 1+0

which is true

8 0
3 years ago
Because of a virus introduced into a bacterial culture, the population of the bacteria decreasedfrom 3000 to 1000 in 50 minutes.
Mamont248 [21]

Answer:

208

Step-by-step explanation:

Given that;

Given that;

y= a(1 - b)^t

Where;

wherein y is the final amount, a is the original amount, b is the decay factor, and x is the amount of time that has passed.

To obtain the constant b,

y= ae^-bt

Substituting values;

1000 = 3000 e^-b(50)

1000/3000 = e^b(50)

0.33 = e^b-(50)

ln (0.33) = ln(e^b(-50))

-1.1 = -50b

b= 1.1/50

b= 0.022

After two hours or 120 minutes;

y= 3000(1 - 0.022)^120

y= 207.8661772

y= 208

8 0
3 years ago
An airplane is 1440 above a buoy in the ocean. The buoy is 15 miles away from the mainland What is the diagonal distance in mite
Crazy boy [7]

Answer:

1440.08 mi

Step-by-step explanation:

Pythagorean Theorem:

\sqrt{1440^{2}+15^{2}  } = 1440.08

6 0
3 years ago
Which graph represents the solution of the system?<br>x² + y² = 4 <br>x-y=1<br>​
QveST [7]

Answer:

the bottom left one

Step-by-step explanation:

5 0
3 years ago
It takes Flora 3 hours to knit a pair of socks and 7 hours to knit a pair of gloves. If she spent 100 hours knitting a total of
gavmur [86]
3 pairs of socks and 13 pairs of gloves
6 0
3 years ago
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