Answer:
I think c but I'm not sure
Answer:
x=5 and 3
Step-by-step explanation:
x^2-8x+21=6
x^2-8x+21+16=6+16
(x-4)^2=1
(x-4)=±1, x=5 and 3
Answer:
The height of parallelogram is 51.87 cm
Step-by-step explanation:
Let The height of a parallelogram = a cm
Then
The base of a parallelogram = 3a cm
So by the given condition
3a×a = 897
3a^2 = 897
a^2 = 897/3
a^2 = 299
a = 17.29
So the height of parallelogram = 3×17.29= 51.87 cm
Answer:
<em>0 $20 bills and 10 $5 bills</em>
<em>1 $20 bills and 6 $5 bills</em>
<em>2 $20 bills and 2 $5 bills</em>
Step-by-step explanation:
<u>Equations</u>
Let's set:
x=number of $5 bills
y=number of $20 bills
The total amount Sara has is given by
5x+20y
And we know it's equal to $50, thus:
5x+20y=50
Dividing by 5
x+4y=10
We would need another condition to solve for x and y, but we can determine some combinations that solve the problem.
Solving for x:
x=10-4y
Since both x and y are integers and cannot be negative:
10-4y≥0
Swapping sides:
4y≤10
Dividing by 4:
y≤2.5
Thus, y can only have the values {0,1,2}
For y=0
x=10-4*0=10
x=10
For y=1
x=10-4*1=6
x=6
For y=2
x=10-4*2=2
x=2
Thus, the possible combinations are:
0 $20 bills and 10 $5 bills
1 $20 bills and 6 $5 bills
2 $20 bills and 2 $5 bills
Sum:
3x^5*y - 2x^3*y^4 - 7x*y^3
+ -8x^5*y + 2x^3*y^4 +x*y^3
---------------------------------------
-5x^5y - 6xy^3
Term 1: Degree = 6
Term 2: Degree = 4
Difference:
3x^5*y - 2x^3*y^4 - 7x*y^3
- -8x^5*y + 2x^3*y^4 +x*y^3
---------------------------------------
11x^5y - 4<span>x^3*y^4 - 8</span>xy^3
Term 1: Degree = 6
Term 2: Degree = 7
Term 3: Degree = 4
The degree of a term of a polynomial can be obtained by adding the exponents of the variables in that term.
