X=3; you can set up a proportion using the slope equation. So (y[sub2]-y[sub1])/(x[sub2]-x[sub1])=2/1 then plug in the values and simplify. Then cross multiply and solve for x. Rest of work shown in the picture
F(3) = t4(3) = 2
The value of the function at the point of expansion is the first (constant) term of the Taylor series.
Answer:
the expected value of this raffle if you buy 1 ticket = -0.65
Step-by-step explanation:
Given that :
Five thousand tickets are sold at $1 each for a charity raffle
Tickets are to be drawn at random and monetary prizes awarded as follows: 1 prize of $500, 3 prizes of $300, 5 prizes of $50, and 20 prizes of $5.
Thus; the amount and the corresponding probability can be computed as:
Amount Probability
$500 -$1 = $499 1/5000
$300 -$1 = $299 3/5000
$50 - $1 = $49 5/5000
$5 - $1 = $4 20/5000
-$1 1- 29/5000 = 4971/5000
The expected value of the raffle if 1 ticket is being bought is as follows:





Thus; the expected value of this raffle if you buy 1 ticket = -0.65
Answer:
22°
Step-by-step explanation:
Triangle KJL ≅ Triangle MJL (RHS)
[JL = JL(common), KL = LM(given), angle KLJ = angle MLJ(given)]
we come up to the conclusion that 4x + 6 = 3x + 10
x = 4
∴angle KJL = 4(4) + 6 = 22°
Answer:
For the table on the left the rate of change is 
For the table on the left the rate of change is 
Step-by-step explanation:
The range of change is the slope. The slope can be found with the following formula:

<u>For the table on the left</u>
Choose two points. In this case you can choose (-1,-24), (4,90)
You can say that:

Substituting these values into the formula, you get:

<u>For the table on the right</u>
Choose two points. You can choose (3,-6), (-6,12)
You can identify that:

Substituting these values into the formula, you get:
