The degree of a polynomial is the highest power of its terms.
The power of a term is the sum of the powers of all the variables in a term.
A polynomial is written starting with the greatest power in standard form.
In the first case, the power of the first term is 3, the power of the second is 3 (2 from x + 1 from y) but the power of x has decreased so it is the second term, and then so on.
In the second case, the power is starting form 2 and then increasing to 3. This is incorrect.
Therefore, Marcus' suggestion is correct.
Answer: 19/20
Step-by-step explanation:
7/10 turns into 14/20
1/4 turns into 5/20
14/20 + 5/20
14 + 5 over 20
= 19/20
19/20 is in simplest form.
The <em><u>correct answer</u></em> is:
At least 7 times.
Explanation:
Since 10% of the water in the jug is removed each time, this means that 100-10=90% of the water remains.
After two times, we would have 0.9(0.9) = 0.81 = 81% of the water; each time she pours, the number of times 0.9 is multiplied by itself changes. This makes this an exponential inequality (it is not an equation, as we want "less than half of the water"):
To solve this, we will use logarithms:
Answer:
or 
Step-by-step explanation:
The volume of a cylinder is calculated by the following formula
Where r is the radius of the cylinder and h is the height
In this case we know that the radius r of the base is:
and
So the Volume is:
Answer:
x = 2, y= 3
Step-by-step explanation:
y = -2x+7
y = 5x-7
Since the equations are both equal to y, set them equal to each other
-2x+7 = 5x-7
Add 2x to each side
-2x+7 +2x= 5x+2x-7
7 = 7x -7
Add 7 to each side
7+7 = 7x
14 = 7x
Divide by 7
14/7 = 7x/7
2 = x
Now find y
y = 5x-7
y = 5*2 -7
y = 10-7
y =3
