Answer: x = 4
Step-by-step explanation:
2(x+1)=10
Distributive properties
a*(b+c)=(a*b)+(a*c)
Using distributive properties
Then
2*(x+1)=(2*x)+(2*1)
2*(x+1)=2x+2
Now, commutative properties
a*b=b*a
Addition is cumulative
a+(-b)=(-b)+a
Therefore applying to 2x+2
2x+2+(-2)=2x+(-2)+2
Then, applying to the equation
2x+2+(-2)=10+(-2), +×-=-
2x+2 -2=10-2
2x=8
Using division properties
ax=b
If a is none zero
Then ax/a=b/a
Therefore x=b/a
Applying that to 2x=8
2x=8. Divide both side by 2 which is none zero
2x/2= 8/2
x=4
Option B
Subtraction Property of equality
please click thanks and mark brainliest if you like :)
Hi!
<h3>We need to isolate x on both sides, and whatever we do to the equation we have to do to both sides. </h3><h3>First, add 8 to both sides. </h3>
2x - 8 + 8 = -6 + 8
2x = 2
<h3>Divide by 2 on both sides</h3>
2x/2 = 2/2
<u>x = 1</u>
<h2>The answer is x = 1</h2>
Hope this helps! :)
-Peredhel
Answer:
$145.75
Step-by-step explanation:
First step is to find the price after discount
Discount = original price * discount percent
= 250 *.45
=112.50
The discounted price is the original price less the discount
Discounted price = original price-discount
=250-112.50
=137.50
Now we need to calculate the tax. The tax is the discounted price times the tax rate.
Tax=discounted price * tax rate
= 137.5 *.06
8.25
To find the total cost, we add the tax to the discounted price
Total cost = discounted price + tax
= 137.5 + 8.25
=145.75
Answer:
(3x + 1) • (3x - 1)
Step-by-step explanation:
Step by Step Solution
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STEP
1
:
Equation at the end of step 1
3
x - 1
STEP
2
:
Trying to factor as a Difference of Squares:
2.1 Factoring: 9x-1
Theory : A difference of two perfect squares, A - B can be factored into (A+B) • (A-B)
Proof : (A+B) • (A-B) =
A - AB + BA - B2 =
A
- AB + AB - B2 =
A - B2
Note : AB = BA is the commutative property of multiplication.
Note : - AB + AB equals zero and is therefore eliminated from the expression.
Check : 9 is the square of 3
Check : 1 is the square of 1
Check : x is the square of x1
Factorization is : (3x + 1) • (3x - 1)
Final result :
(3x + 1) • (3x - 1)
