Answer:
![f(x)=-\frac{1}{2}x +1](https://tex.z-dn.net/?f=f%28x%29%3D-%5Cfrac%7B1%7D%7B2%7Dx%20%2B1)
Step-by-step explanation:
Slope intercept form is: ![f(x)=mx+b](https://tex.z-dn.net/?f=f%28x%29%3Dmx%2Bb)
<h2>
Find the Slope:</h2>
Choose 2 points on the graph:
(0,1) (2,0)
Find the slope of the two points:
![\frac{0-1}{2-0}=-\frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B0-1%7D%7B2-0%7D%3D-%5Cfrac%7B1%7D%7B2%7D)
![m=-\frac{1}{2}](https://tex.z-dn.net/?f=m%3D-%5Cfrac%7B1%7D%7B2%7D)
<h2>Find the Y-Intercept</h2>
The y-intercept, or the point that the line crosses on the y axis, is (0,1).
![b=1](https://tex.z-dn.net/?f=b%3D1)
![f(x)=-\frac{1}{2}x +1](https://tex.z-dn.net/?f=f%28x%29%3D-%5Cfrac%7B1%7D%7B2%7Dx%20%2B1)
Answer:
Step-by-step explanation:
tan P =
=
tan Q =
Answer:
C. 225°.
Step-by-step explanation:
1) according to the condition minor arc is 135°;
2) the measure of the major arc can be calculated as
360°-135°=225°.
We know that:
Profit = Revenue - Cost
Let us say x number of candies are made per week.
Finding Cost per week:
Cost of making 1 bar = 0.15
Cost of making x bars = 0.15x
Fixed rate of making candies per week = 600
Total cost of making x candies per week = 600 + 0.15x
Now let us find Revenue:
Selling price of each bar = 1.50
Selling price of x bars = 1.50x
Now we have to find profit,
Profit = Revenue - Cost
In order to have profit Revenue - Cost >0
So plugging values of revenue and cost to get number of candies,
![1.50x-(0.15x+600)>0](https://tex.z-dn.net/?f=%201.50x-%280.15x%2B600%29%3E0%20)
![1.50x-0.15x-600>0](https://tex.z-dn.net/?f=%201.50x-0.15x-600%3E0%20)
![1.35x-600>0](https://tex.z-dn.net/?f=%201.35x-600%3E0%20)
![1.35x>600](https://tex.z-dn.net/?f=%201.35x%3E600%20)
x>444.44
Rounding off
x>444
Answer: The company must sell greater than 444 candies in order to make profit.
Answer:
m<A = 84
AC = 9
Step-by-step explanation:
We can find the measure of Angle A by using the sum of interior angles of a triangle theorem.
48+48+A=180
96+A=180
A=84
We can then use the isosceles triangle similarity theorem and reason that since this is an isosceles triangle and one of the side lengths (AB) is 9, the other (AC) would also be 9.