A hockey puck is sliding on frictionless ice on an infinite hockey rink.
Its speed is 36 km/hour. How far does the puck slide in 10 seconds ?
(36 km/hr) x (1,000 m/km) x (1 hr/3600 sec) x (10sec) =
(36 x 1,000 x 10 / 3,600) meters = <em>100 meters</em>
What is the puck's speed in miles per hour ?
(36 km/hr) x (0.6214 mi/km) = <em>22.37 mi/hr</em>
Divide 5.60 by 70 and that's the price per ounce
The system of inequalities is x+y≥250 and 3x+2y≤800.
Step-by-step explanation:
Given,
People to invite = at least 250
At least 250 means that the number can increase from 250.
Cups to be provided = only 800
It means the number cannot exceed 800.
Number of adults = A
Number of children = C
According to given statement;
x+y≥250
3x+2y≤800
The system of inequalities is x+y≥250 and 3x+2y≤800.
Keywords: linear inequalities, addition
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Answer:
Options (3), (4) and (5)
Step-by-step explanation:
1). a² - 9a + 7ab + 63b
= a(a - 9) + 7b(a + 9)
Now we can not solve this problem further.
Therefore, can't be factored by grouping.
2). 3a + 4ab - b - 12
= a(3 + 4b) - 1(b - 12)
We can't solve it further.
Therefore, can't be factored by grouping.
3). ab + 6b - 2a - 12
= b(a + 6) - 2(a + 6)
= (b - 2)(a + 6)
We can be factored this expression by grouping.
4). x³ + 9x²+ 7x + 63
= x²(x + 9) + 7(x + 9)
= (x² + 7)(x + 9)
Therefore, the given expression can be factored by grouping.
5). ay² + a - y² - 1
= a(y² + 1) - 1(y² + 1)
= (a - 1)(y² + 1)
This expression can be factored by the grouping method.
Options (3), (4) and (5) are the correct answers.
Answer:
Step-by-step explanation:
(7-4)/(-2-6)= 3/-8 = -3/8 is the slope
