using a graphical tool the solution is (2,3) see the attached figure
proceed to check it
<span>
f(x)=2x−1
g(x)=−x+5
</span><span>f(x)=g(x)
2x-1=-x+5
2x+x=5+1------------ >3x=6-----------> x=2
y=2x-1=2*2-1=3
the solution is the point (2,3) (</span>see the graph in the attached figure)
First, find the slope (m): m = 
= 
= 
Next, input ONE of the points (x₁, y₁) and the slope into the Point-Slope formula:
y - y₁ = m(x - x₁)
y - 7 = (x - 3)
Lastly, isolate "y" to find the Slope-Intercept formula: y = mx + b
y - 7 = 
- 
y = 
+ 
75,88,90,96,98,100
minimum = 75
Q1 = 88.....this is where the box begins
Q2 (the median) = (90 + 96) / 2 = 186/2 = 93....this is the line in the box
Q3 = 98....this is where the box ends
maximum = 100
88_93______98
75_______| | |___100
|___|_______|
Answer:
20,176,803
Step-by-step explanation:
This geometric series has a first term of 3 and a common ratio of 21/3 = 7. The formula for the sum of n terms of a series with first term a1 and common ratio r is ...
Sn = a1·(r^n -1)/(r -1)
For a1=3, n=9, and r=7, the sum is ...
S9 = 3·(7^9 -1)/(7 -1) = 3·40353606/6 = 20,176,803
The sum of the first 9 terms is 20,176,803.
_____
The first 9 terms are ...
3 +21 +147 +1029 +7203 +
50,421 +352,947 +2,470,629 +17,294,403
