Answer:
x = -13/5
Step-by-step explanation:
let x be the number
8x + 6 = 3x - 7
move variables to left and numbers to right
8x - 3x = - 7 -6
5x = -13
x = -13/5
Answer: 5^7 x 3^7
You could also write 15^7
Answer:
A parallelogram can have 2 pairs of parallel sides.
Step-by-step explanation:
Think of a rectangle for a parallelogram. It has 2 pairs of parallel sides which makes it a parallelogram. The same for a square as well as it has 2 parallel pairs. Just remember that a parallelogram always has 2 pairs of parallel sides.
Answer:
s ( x ) = 102, a ( x ) = 8 ( x + 2 )
A function that combines the two:
f ( x ) = s ( x ) + a ( x ) = 102 + 8 ( x + 2 ) =
= 102 + 8 x + 16
final answer : f ( x ) = 8 x + 118
The general form of a polynomial is: x² + bx + c = 0. Substituting the roots,
3² + b(3) + c = 0
3b + c = -9 --> eqn 1
(5 + √5)² + (5 +√5)(b) + c = 0
(5+√5)b + c = -30-10√5 --> eqn 2
Solving both equations simultaneously by subtracting eqn 2 from eqn 1,
(-2 - √5)b = 21 + 10√5
b = -8 - √5
Using eqn 1,
3(-8 - √5) + c = -9
-24 - 3√5 + c = -9
c = -9 + 24 + 3√5
c = 15 + 3√5
Hence, the polynomial is: <em>f(x) = x² + (-8 - √5)x + (15 + 3√5)</em>.