The expression that is equal to 2022 by adding a set of parentheses is 12 x 12 x 12+ 12 x 12+ 12 x 12 + 12 / (12 /12 + 12 / 12).
<h3>How to solve a long-expression problem?</h3>
In mathematics, parentheses are used to group a set of mathematical terms. In a long-expression, like the one presented, using parenthesis implies:
- The terms in the parentheses are solved separately from those outside the parentheses.
- The terms in the parentheses are solved before solving those outside.
- Moving the parentheses will affect the result of the whole expression.
Based on this, the expression that equals 2022 is:
- 12 x 12 x 12+ 12 x 12+ 12 x 12 + 12 / (12 /12 + 12 / 12)
<h3>Let's solve it to prove this result</h3><h3 />
- 12 x 12 x 12+ 12 x 12+ 12 x 12 + 12 / (12 /12 + 12 / 12)
First, solve the parenthesis first by dividing and then by adding.
- 12 x 12 x 12+ 12 x 12+ 12 x 12 + 12 / (1 + 1)12 x 12 x 12+ 12 x 12+ 12 x 12 + 12 / 2
Now, let's solve this expression, the first step is to solve the multiplications.
Now, solve the division.
Finally, add everything.
- 1728 + 144 + 144 + 6 = 2022
Learn more about mathematics in: brainly.com/question/12083755
Your answer is x = 7 – 2y
Part 1
All that’s being affected here is the b value in y=mx+b, so your line will just move up to have a y-intercept at (0,35) the equation will be y=4.5x+35
Part 2
Here the m value is being changed so your line will just flatten out a bit and the new equation will be y=3x+25
Hope this helps!
Answer:
Once the rules of exponents are understood, you can begin solving more complicated expressions more easily. Recall that when you take a power to a power, you multiply the exponents, (xa)b= xa·b.
What happens when you raise an entire expression inside parentheses to a power? You can use the techniques you already know to simplify this expression.
(2a)4 = (2a)(2a)(2a)(2a) = (2 • 2 • 2 • 2)(a • a • a • a) = (24)(a4) = 16a4
Notice that the exponent is applied to each factor of 2a. So, we can eliminate the middle steps.
(2a)4 = (24)(a4), applying the 4 to each factor, 2 and a.
= 16a4
The product of two or more numbers raised to a power is equal to the product of each number raised to the same power.
