Answer:
(x+10)(x+1)( x-3) ( x-3)
Step-by-step explanation:
root of 3 with multiplicity 2
( x-3) ^2 or ( x-3) ( x-3)
root of -10
(x- -10) is (x+10)
root of -1
(x - -1) is (x+1)
( x-3) ^2 (x+10)(x+1)
Answer:
y =
x
Step-by-step explanation:
The equation of a linear pattern has the form
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = 
with (x₁, y₁ ) = (1,
) and (x₂, y₂ ) = (2, 1) ← 2 ordered pairs from the table
m =
=
, thus
y =
x + c ← is the partial equation
To find c use any ordered pair from the table and substitute into the partial equation.
Using (2, 1) , then
1 = 1 + c ⇒ c = 1 - 1 = 0
y =
x + 0 ← equation for pattern or quite simply
y =
x
Answer: 5 games
Step-by-step explanation: A .500 record means that the soccer team won half of their games ( that's how I interpret it). Since they are going to play 30 games, they need to win half of 30 or 15 games to have that record. 15-10 = 5. So, they need to win 5 more games to have a .500 record.
Answer:
x = 3
Step-by-step explanation:
This is an isosceles triangle. Two angles (D and F) are equal because the sides opposite them are equal (or vice versa).
Thus, side DE = side EF, or
12x - 8 = 4x + 16
Combining like terms: 8x = 24
Thus, x = 24/8 = 3
x = 3