Hello!
This is real simple!
So let's look at your first ordered pair, (-2,0)
-2 is the x-coordinate, 0 is the y-coordinate. 0 is the origin - or the center - of your graph. Don't put a point yet!
Next, -2 is to the left, so look for -2 on your graph (or count two to the left) Now put a point there. You have plotted (-2,0) on your graph!
Let's try another.
(0,4)
Look at 0 on your graph. The 4 is the y-coordinate, indicating that you'll go up on the y-axis.
Go up 4 on your y-axis
Put a point, you plotted (0,4)
One more?
(2,0)
x. y
Go to positive 2 on your x-axis (since it is the x-coordinate). Notice the y-coordinate is 0, you don't need to go up! Plot your point
You plotted (2,0)
I hope I helped. Please ask if you still need help.
(a) without replacement:
P(S)=13/52=1/4
P(SS)=(1/4)*(12/51)=1/17
Probability of selecting two spades without replacement is 1/17.
(b) with replacement
P(S)=13/52=1/4
P(SS)=(1/4)(13/52)=1/16
Probability of selecting two spades with replacement is 1/16.
2 log(<em>x</em>) - log(<em>x</em> - 1) = log(<em>x</em> - 2)
log(<em>x</em>²) - log(<em>x</em> - 1) = log(<em>x</em> - 2)
log(<em>x</em>² / (<em>x</em> - 1)) = log(<em>x</em> - 2)
<em>x</em>² / (<em>x</em> - 1) = <em>x </em>- 2
<em>x</em>² = (<em>x</em> - 1) (<em>x</em> - 2)
<em>x</em>² = <em>x</em>² - 3<em>x</em> + 2
0 = -3<em>x</em> + 2
3<em>x</em> = 2
<em>x</em> = 2/3
But notice that 2/3 - 1 = -1/3 < 0, and log(<em>x</em> - 1) is undefined so there are no real solutions.
Answer:
Considering each Y level the line lowers by 1 unit, the answer would be <em><u>-1</u></em>.
27x^2 - 42x + 12
If x = 2:
27(2)^2 - 42(2) + 12
= 27(4) - 84 + 12
= 108 - 72
= 36