To find the x-intercept, substitute in
0
0
for
y
y
and solve for
x
x
. To find the y-intercept, substitute in
0
0
for
x
x
and solve for
y
y
.
x-intercept(s):
(
22.6
,
0
)
(
22.6
,
0
)
y-intercept(s):
(
0
,
18.8
¯
3
)
<span>A container holds 15 pennies, 8 nickels, and 10 dimes.
You will randomly select two coins without replacement.
-->Fill in the probabilities on a tree diagram.</span>
Answer: you would have to purchase $1300 of merchandise and the total yearly amount paid to the warehouse for each plan is $1210
Step-by-step explanation:
Let x represent the number of dollars of merchandise that you would have to purchase in a year to pay the same amount under both plans.
Plan A offers an annual membership fee of $300 and you pay 70%, of the manufacturers reccomended list price. This means that the total cost of using plan A would be
300 + 0.7x
Plan B offers an annual membership fee of $40 and you pay 90% of the manufacturers reccomended list price.
This means that the total cost of using plan B would be
40 + 0.9x
For both plans to be the same,
300 + 0.7x = 40 + 0.9x
0.9x - 0.7x = 300 - 40
0.2x = 260
x = $1300
The total yearly amount paid to the warehouse for each plan would be
40 + 0.9 × 1300 = $1210
Consider the given equations:
The first equation is as:
So, 
= 
Multiplying the given fractions, we get as
= 
Now, consider the second equation as:
Multiplying by '3' to both the sides of the equation, we get
So, the number which best completes both the equations is .
There is a formula which employs the use of determinants and which helps us calculate the area of a triangle if the vertices are given as 
. The formula is as shown below:
Area=
Now, in our case, we have: 
, and
Thus, the area in this case will become:
Area=
Therefore, Area=![\frac{1}{2}\times [[3(-1\times 1-(-5)\times 1]-3[3\times 1-(-2)\times 1]+1[3\times -5-2]]= \frac{1}{2}\times -20=-10](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%5Ctimes%20%5B%5B3%28-1%5Ctimes%201-%28-5%29%5Ctimes%201%5D-3%5B3%5Ctimes%201-%28-2%29%5Ctimes%201%5D%2B1%5B3%5Ctimes%20-5-2%5D%5D%3D%20%5Cfrac%7B1%7D%7B2%7D%5Ctimes%20-20%3D-10)
We know that area cannot be negative, so the area of the given triangle is <u>10 squared units</u>.
