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Marina86 [1]
3 years ago
8

3(-0.4n-0.7)=-3.2n-2.58

Mathematics
1 answer:
svlad2 [7]3 years ago
3 0

Answer:

n=-0.24

Step-by-step explanation:

3\left(-0.4n-0.7\right)=-3.2n-2.58

Use distributive property.

-1.2n-2.1=-3.2n-2.58

-1.2n-2.1+2.1=-3.2n-2.58+2.1

-1.2n=-3.2n-0.48

-1.2n+3.2n=-3.2n-0.48+3.2n

2n=-0.48

\frac{2n}{2}=\frac{-0.48}{2}

n=-0.24

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Two consecutive perfect squares have a difference of $99$. what is the value of the larger perfect square?
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Answer:

2500

Step-by-step explanation:

Let the first square number be x^2 then the next square number is (x+1)^2.

The difference between these two consecutive numbers is 99.

This implies that:

(x+1)^2-x^2=99

We expand to get:

x^2+2x+1-x^2=99

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3 years ago
Determina si 2018 es un termino de la siguiente progresion aritmetica 17,46,75,104,133,....
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Explanation
We start out finding the common difference of the progression:
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Now we write the explicit formula for the sequence.  It is of the form
a_n=a_1+d(n-1)
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We set this equal to 2018 to see if the answer is a whole number.  If it is, it will be the term number that gives us 2018:

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Using the distributive property,
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