Answer:
(y - 1)(5y - 2)
Solution:
Factor:
2 - y(7 - 5y)
Apply the Distributive Property:
2 - 7y + 5y²
Reorder the expression:
5y² - 7y + 2
Rewrite the term:
5y² - 5y - 2y + 2
Regroup terms into two proportional parts:
(5y² - 5y) + ( -2y + 2)
Factor Greatest Common Factors out:
5y(y - 1) - 2(y - 1)
(y - 1)(5y - 2)
Answer:
2
Step-by-step explanation:
14 / (7)
249 children and 394 adults swam at the public pool.
Step-by-step explanation:
Number of people swam at pool = 643
Receipts = $1161.50
Cost for one child = $1.50
Cost for one adult = $2.00
Let,
x be the number of children
y be the number of adults
According to given statement;
x+y=643 Eqn 1
1.50x+2.00y = 1161.50 Eqn 2
Multiplying Eqn 1 by 2

Subtracting Eqn 2 from Eqn 3

Dividing both sides by 0.5

Putting x=249 in Eqn 1

249 children and 394 adults swam at the public pool.
Keywords: linear equation, subtraction
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Answer:
6) y = -7x +11
8) y = -1/3x -1
10) y = 5/4x -2
Step-by-step explanation:
It is convenient to start with a point-slope form of the equation.
y = m(x -h) +k . . . . . line with slope m through point (h, k)
__
6) m = -7, (h, k) = (2, -3)
y = -7(x -2) -3 = -7x +14 -3
y = -7x +11
__
8) m = -1/3, (h, k) = (-3, 0)
y = (-1/3)(x -(-3)) +0
y = -1/3x -1
__
10) m = 5/4, (h, k) = (4, 3)
y = 5/4(x -4) +3 = 5/4x -5 +3
y = 5/4x -2