Answer:
1 in 4,
Step-by-step explanation:
You should know that a standard 52-card deck is made up of four suits of 13 cards each. This means that there are 13 spades and 4 aces (the Ace of Spades is both). So the probability of drawing any spade is 1 in 4, and the probability of drawing any ace is 1 in 13.
Answer:
<em>y = 2x+6</em>
Step-by-step explanation:
Let the output value be y
Let the input value be x
the output of a function is 6 more than 2 times the input
2 times the input is expressed as 2x
6 more than 2 times the input is expressed as 2x + 6
Since the output of a function is 6 more than 2 times the input, we will equate y to the resulting equation to have;
y = 2x + 6
<em>Hence the required equation is y = 2x+6</em>
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F(x) = 2x + 2.....find f(3)
f(3) = 2(3) + 2
f(3) = 6 + 2
f(3) = 8
f(x) = (3x - 4)/5....find f^-1(4)
y = (3x - 4)/5...swap the variables
x = (3y - 4)/5 ...solve for y
5x = 3y - 4
5x + 4 = 3y
(5x + 4)/3 = y
f^-1(x) = (5x + 4)/3.....for f(4)
f(4) = (5(4) + 4)/3
f(4) = (20 + 4)/3
f(4) = 24/3
f(4) = 8
y + 10 = 2y + 1
y - 2y = 1 - 10
-y = -9
y = 9
so 1 and 2 have the same result...8
Im pretty sure it’s the last one.
