Posted by Anonymous on Friday, February 21, 2014 at 3:17pm.
1. correct if you meant 49^(3/2)
The way you typed it --- 117649/2
2. can't read the question
3. the leading term in standard notation would be 8x^2
so leading coefficient is 8
4. correct
5. the x is undefined in your problem
6. 7x^2 - 2x + 5, the exponent is not affected when adding like terms
7. 3a^ + 2a
8. correct
9. 6x^2 - 24x + 16 , 4 x 4 = 16 not 8
10. 4x^2 - 16
looks like somebody has some serious studying to do.
1.
If 49^3/2 mean 49 ( 3 / 2 ) then:
49 ( 3 / 2 ) = [ ( 49 ) ^ 3 ] ^ ( 1 / 2 ) =
[ ( 49 ) ^ ( 1 / 2) ] ^ 3 =
sqrt ( 49 ) ^ 3 =
7 ^ 3 = 343
Correct
2. What is 5^ãx^25y^125 ?
3.
5 x - 2 x + 8 x ^ 2 - 7 =
8 x ^ 2 + 3 x - 7
In a polynomial, the coefficient of the term with the highest degree is called the leading coefficient.
So the leading coefficient = 8
4.
Correct
5.
x = the length of the side parallel to the building
w = the width of the cage
x + 2 w = 100
Subtract 2 w to both sides
x + 2 w - 2 w = 100 - 2 w
x = 100 - 2 w
Area = length * width
A = x * w =
( 100 - 2 w ) * w =
100 w - 2 w ^ 2 =
- 2 w ^ 2 + 100 w
NOT ( - 2 x ^ 2 + 100 w )
A = - 2 w ^ 2 + 100 w
= - 2 * 15 ^ 2 + 100 * 15 =
- 2 * 225 + 1500 =
-450 + 1500 =
1050 ft ^ 2
6.
( 5 x ^ 2 - 2 x + 9 ) + ( 2 x ^ 2 - 4 ) =
5 x ^ 2 - 2 x + 9 + 2 x ^ 2 - 4 =
5 x ^ 2 + 2 x ^ 2 - 2 x + 9 - 4 =
7 x ^ 2 - 2 x + 5
7.
( 10 a ^ 2 - 6 a ) - ( 7 a ^ 2 - 8 a ) =
10 a ^ 2 - 6 a - 7 a ^ 2 - ( - 8 a ) =
10 a ^ 2 - 6 a - 7 a ^ 2 + 8 a =
10 a ^ 2 - 7 a ^ 2 - 6 a + 8 a =
3 a ^ 2 + 2 a
8.
Correct
9.
( a - b ) ^ 2 = a ^ 2 - 2 * a * b + b ^ 2
( 3 x - 4 ) ^ 2 =
( 3 x ) ^ 2 - 2 * 3 x * 4 + 4 ^ 2 =
9 x ^ 2 - 6 x * 4 + 16 =
9 x ^ 2 - 24 x + 16
10.
( 2 x + 4 ) * ( 2 x - 4 ) =
2 x * 2 x + 2x * 4 - 4 * 2 x - 4 * 4 =
4 x ^ 2 + 8 x - 8 x - 16 =
4 x ^ 2 - 16
OR
( a + b ) * ( a - b ) = a ^ 2 - b ^ 2
( 2 x + 4 ) * ( 2 x - 4 ) =
( 2 x ) ^ 2 - 4 ^ 2 =
4 x ^ 2 - 16