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ohaa [14]
3 years ago
14

Subtract (7x^2 + 4x - 6) - (2x^2 - 3x + 1) help me and show each step so ill understand

Mathematics
1 answer:
uranmaximum [27]3 years ago
3 0
Answer:  The simplified expression is:  " 5x² + x – 7 " . 
_____________________________________________
<u>Note</u>:
_____________________________________________
We are given:
_____________________________________________

          →   " (7x² + 4x – 6) – (2x² –<span> 3x + 1) "  ; 
____________________________________
Let us simplify this expression:
____________________________________
Rewrite as:
____________________________________

</span>  (7x² + 4x – 6) – 1(2x² – 3x + 1) ; 

{Since there is an implied "one", since "1" ; multiplied by any value, results in the same value} ; 
___________________________________________
Let us start with the following part of the expression:
___________________________________________
        →        "  – 1(2x² – 3x + 1) "  ;
___________________________________________
Note the "distributive property" of multiplication:
____________________________________________
 a(b + c)  = ab + ac ;

 a(b – c) = ab – ac ;
____________________________________________

As such:  " a(b – c + d) = ab – ac + ad "  ; 
____________________________________________
So:
______________________________________________________
 →   " – 1(2x² – 3x + 1) " =  (-1 * 2x²)  – (-1* -3x)  + (-1 * 1) ; 

                                                   =  -2x²  – 3x + (-1) ; 

                                                  =   -2x²  –  3x  –  1 ;
______________________________________________________
Now, bring down the: " 7x² + 4x – 6 " ;  and add the " – 2x² –  3x  –  1 " ; 

as follows:
___________________________________________
         →  "  7x² + 4x – 6 – 2x² –  3x  –  1  "  ;
___________________________________________
         →  Combine the "like terms" :

               + 7x² – 2x²  = + 5x²  ;

               + 4x  –  3x  =  + 1x =  + x ; 

               – 6   –  1   =   – 7 ; 
____________________________________________
And we can rewrite the simplified expression as:
____________________________________________
        →   "  5x² + x – 7 " . 
____________________________________________
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Answer:

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\dfrac{x-3}{2x-8}

We know: the denominator must be different than 0.

Therefore

2x-8\neq0        <em>add 8 to both sides</em>

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\dfrac{2x}{2}=\dfrac{8}{2}\\\\x\neq4

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Leo's bank balances at the end of months 1, 2, and 3 are $1500, $1530, and $1560.60,
grandymaker [24]

Leo's balance after 9 months will be: $1757.49

Step-by-step explanation:

It is given that the balances follow a geometric sequence

First of all, we have to find the common ratio

Here

a_1 = 1500\\a_2 = 1530\\a_3 = 1560.60

Common ratio is:

r = \frac{a_2}{a_1} = \frac{1530}{1500} = 1.02\\r = \frac{a_3}{a_2} = \frac{1560.60}{1530} = 1.02

So r = 1.02

The general form for geometric sequence is:

a_n = a_1r^{n-1}

Putting the first term and r

a_n = 1500 . (1.02)^{n-1}

To find the 9th month's balance

Putting n=9

a_9 = 1500 . (1.02)^{9-1}\\= 1500.(1.02)^8\\=1757.4890

Rounding off to nearest hundredth

$1757.49

Hence,

Leo's balance after 9 months will be: $1757.49

Keywords: Geometric sequence, balance

Learn more about geometric sequence at:

  • brainly.com/question/10772025
  • brainly.com/question/10879401

#LearnwithBrainly

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