For systems of equations try using graphing, substitution, and elimination. For example
{2x+7y=3}
{x=-4y}
You should first look at if you have a variable that can be substituted (using substitution) and in this case we do! you plug in the x into 2x meaning 2(-4y)+7y=3
1) distribute -8y+7y=3
2) combine like terms in this case -8y+7y= -1y
3) solve -1y=3
y=-3
so currently our solution is (0,-3)
now we solve for x.
we plug our solved variable (y) into 7y
7(-3) and our equation looks like this
2x+7(-3)=3
1) distribute 7(-3)=-21
2) rewrite then solve 2x+(-21)=3
3) isolate variable -21+21 & 3+21
4) 2x=24
5) solve 2/24 = 12
Meaning our solution is (12,-3)
This is how to solve by substitution.
For simplifying radicals, remember the product rule of radicals: √ab = √a x √b . This radical is simplified as such:
√72 = √9 x √8 = 3 x √4 x √2 = 3 x 2 x √2 = 6√2
In short, the simplified radical of √72 is 6√2.
Answer:
percentages are used like fractions and decimals, as ways to describe parts of a whole. For example, discounts in shops, bank interest rates, rates of inflation and many statistics in the media are expressed as percentages. Percentages are important for understanding the financial aspects of everyday life. When you are using percentages, the whole is considered to be made up of a hundred equal parts. The symbol % is used to show that a number is a percentage, and less commonly the abbreviation 'pct' may be used.
Answer:
The answer in the attached figure
Step-by-step explanation:
we have
Using a graphing tool
see the attached figure
The answer in the attached figure
