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likoan [24]
2 years ago
13

1 Lindsay has finished 14 of the 20 lessons in her violin book.

Mathematics
1 answer:
Studentka2010 [4]2 years ago
6 0

Answer:

21 questions out of 30

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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
The area of a rectangle is greater than or equal to 154 square centimeters. The width of the rectangle is 12 centimeters and the
soldier1979 [14.2K]

Answer:

x ≤ 12.83

(Any number under or equal to 12.8333...)

Step-by-step explanation:

154 ≥ 12x

12.833.... ≥ x

x ≤ 12.83

5 0
2 years ago
On the strip below, mark and label the location of each decimal. Please help! Thank you.
Alinara [238K]

0.09 is one tick mark Behind the 1/10 or 1 over 10 mark.

0.9 is the exact mark labled 9 over 10 or 9/10.

0.19 is exactly the mark behind the 2/10 mark or 2 over 10.

0.190 is on exactly the same mark as the one above-- on the mark behind the 2/10 mark.

0.019 is does not have a place on the strip. It is in the thousandths place not the hundredths or tenths places. That is why it doesn't have a place on the strip

Hope this helps you! :)

3 0
3 years ago
GIVING BRAINLIEST!!!!!!<br><br><br> 32+4X(16 x 1/2)-2<br><br> show your work
belka [17]
The answer should be 62
7 0
3 years ago
Read 2 more answers
Solve the following inequality. n/3&gt;1
lbvjy [14]
N/3>1
n>1*3
n>3    or    (3,+∞)

Solution: n>3    or    (3, +∞)
3 0
3 years ago
Read 2 more answers
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