Answer:
There are 685464 ways of selecting the 5-card hand
Step-by-step explanation:
Since the hand has 5 cards and there should be at least 1 card for each suit, then there should be 3 suits that appear once in the hand, and one suit that apperas twice.
In order to create a possible hand, first we select the suit that will appear twice. There are 4 possibilities for this. For that suit, we select the 2 cards that appear with the respective suit. Since there are 13 cards for each suit, then we have 
possibilities. Then we pick one card of all remaining 3 suits. We have 13 ways to pick a card in each case.
This gives us a total of 4*78*13³ = 685464 possibilities to select the hand.
Answer:
see explanation
Step-by-step explanation:
Where the graph crosses the x- axis the y- coordinate is zero.
Let y = 0 in the equation and solve for x
- 4(0) = 15 - 5x, that is
15 - 5x = 0 ( subtract 15 from both sides )
- 5x = - 15 ( divide both sides by - 5 )
x = 3 ← x- intercept ⇒ (3, 0 )
Where the graph crosses the y- axis the x- coordinate is zero.
Let x = 0 in the equation and solve for y
- 4y = 15 - 5(0), that is
- 4y = 15 ( divide both sides by - 4 )
y = - 
← y- intercept ⇒ (0, - )
Answer:
<h2><em>
D. (-7, 3)</em></h2>
Step-by-step explanation:
The standard form of a point slope equation of a line is expressed as shown;
y-y₀ = m(x-x₀) where;
m is the slope of the line
(x₀, y₀) is the coordinate of the point that lies in the line.
Comparing the standard equation given with the equation in question
y - 3 = 4(x + 7) to get the point on the line we will have;
y₀ = 3 and -x₀ = 7
for -x₀ = 7;
multiply both sides with a minus sign
-(-x₀) = -7
x₀ = -7
<em>Hence the coordinate of the point required (x₀, y₀) is (-7, 3).</em>
Triangle inequality theorem states that the sum of any two sides of a triangle must be greater than the third side because if not you don't have a triangle.
Y = 30 + .25x
the cost = $30 (constant - same every month) + 25 cents per minute
