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devlian [24]
3 years ago
9

what is the smallest of 3 consecutive positive integers if the product of smaller two interfere is 5 less than 5 times the large

r?
Mathematics
1 answer:
Lady_Fox [76]3 years ago
8 0

Answer:

Two options:

5,6, and 7

-1,0,and 1

Step-by-step explanation:

Three consecutive natural numbers can be represented as n, n+1, and n+2.

The product of the smaller two would be n(n+1). The less than 5 times the larger is 5(n+2)-5.

Set them equal and solve by factoring:

n(n+1) = 5(n+2) -5\\n^2+n = 5n+10 -5\\n^2+n = 5n+5\\n^2 -4n-5=0\\(n-5)(n+1)=0

Set each factor equal to 0.

n-5==0 so n=5.

n+1=0 so n=-1.

This means the 3 consecutive numbers would be 5,6, and 7

OR

-1, 0 or 1.

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Basile [38]

B

Let’s put this into a simple equation

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So that means the answer is B.

Hope that helped!

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3 years ago
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An equation is shown below:
Ad libitum [116K]

Answer:

solution given:

4(2x − 5) = 4

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3 0
2 years ago
Can someone solve this with steps cause idk how to solve the radicals
IceJOKER [234]
\bf 343^{\frac{2}{3}}+36^{\frac{1}{2}}-256^{\frac{3}{4}}\qquad \begin{cases}
343=7\cdot 7\cdot 7\\
\qquad 7^3\\
36=6\cdot 6\\
\qquad 6^2\\
256=4\cdot 4\cdot 4\cdot 4\\
\qquad 4^4
\end{cases}\\\\\\ (7^3)^{\frac{2}{3}}+(6^2)^{\frac{1}{2}}-(4^4)^{\frac{3}{4}}
\\\\\\
\sqrt[3]{(7^3)^2}+\sqrt[2]{(6^2)^1}-\sqrt[4]{(4^4)^3}\implies \sqrt[3]{(7^2)^3}+\sqrt[2]{(6^1)^2}-\sqrt[4]{(4^3)^4}
\\\\\\
7^2+6-4^3\implies 49+6-64\implies -9


to see what you can take out of the radical, you can always do a quick "prime factoring" of the values, that way you can break it in factors to see who is what.
8 0
3 years ago
-3(-4n + 30) = -30 need help​
DIA [1.3K]

First we will do -3 times everything in the parenthesis.

-3 times -4n = 12n

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divide 12 on both sides;

n = 5

This is your answer,

IF THIS HELPED, PLS GIVE ME BRAINLIEST!

6 0
2 years ago
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