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

1 answer:

3 0

Answer: The simplified expression is: " 5x² + x – 7 " .
_____________________________________________
Note:
_____________________________________________
We are given:
_____________________________________________

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

 (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 " .
____________________________________________

You might be interested in

If ab=5 and a^2+b^2=25,then (atb)^2=

AnnZ [28]

I’ve done this before.Here’s da image.

P.S It was on another account so you wont see it in my answers.

Hope this helped!

Good luck !

4 0

2 years ago

Read 2 more answers

If the diameter of a penny is 19mm, then what is the radius?

mel-nik [20]

9.5 mm, because the radius is half of the diameter

6 0

3 years ago

Read 2 more answers

Hello, precalc, need help on finding csc

Ainat [17]

Recall the double angle identity for cosine:

$\cos(2x) = \cos^2(x) - \sin^2(x) = 1 - 2 \sin^2(x)$

It follows that

$\sin^2(x) = \dfrac{1 - \cos(2x)}2 \implies \sin(x) = \pm \sqrt{\dfrac{1-\cos(2x)}2} \implies \csc(x) = \pm \sqrt{\dfrac2{1-\cos(2x)}}$

Since 0° < 22° < 90°, we know that sin(22°) must be positive, so csc(22°) is also positive. Let x = 22°; then the closest answer would be C,

$\csc(22^\circ) = \sqrt{\dfrac2{1-\cos(44^\circ)}} = \sqrt{\dfrac2{1-\frac5{13}}} = \dfrac{\sqrt{13}}2$

but the problem is that none of these claims are true; cot(32°) ≠ 4/3, cos(44°) ≠ 5/13, and csc(22°) ≠ √13/2...

3 0

2 years ago

A population of insects increases at a rate of 1.5% per day. About how long will it take the population to double?

never [62]

The correct answer is:

46.6 days

Explanation:

The general form for exponential growth is

$A=p(1+r)^t$ , where A is the total amount, p is the initial amount, r is the percent of growth, and t is the amount of time (in this case, days).

We do not know the initial amount, the total amount, or the amount of time. We do know that r, the percent of growth, is 1.5%; 1.5% = 1.5/100 = 0.015:

$A=p(1+0.015)^t$