Answer:
f(x) = g(x) at (2. 0) and f(x) = g(x) at (0. 4)
Step-by-step explanation:
Two functions are said to be equal in value when they intersect at a point where their coordinates are equal. If f(x) represents the straight blue line and g(x) represent the curved red line with an upward curve, they intersect when their coordinates are equal. So, f(x) = g(x) when they intersect.
Now, f(x) crosses the x-axis at (2, 0) and crosses the y-axis at (0, 4).
Also, g(x) crosses the x-axis at (2, 0) and crosses the y-axis at (0, 4).
Since their coordinates are equal at these two points, it means that
f(x) = g(x) at (2. 0) and f(x) = g(x) at (0. 4)
Answer:
see explanation
Step-by-step explanation:
The nth term of a geometric progression is
= a₁
where a₁ is the first term and r the common ratio
Given a₅ = 162 and a₈ = 4374 , then
a₁
= 162 → (1)
a₁
= 4374 → (2)
Divide (2) by (1)
= 
r³ = 27
r = ![\sqrt[3]{27}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B27%7D)
= 3
Substitute r = 3 into (1) and solve for a₁
a₁
= 162
81a₁ = 162
a₁ = 
= 2
Then
a₂ = a₁ × 3 = 2 × 3 = 6
a₃ = a₂ × 3 = 6 × 3 = 18
The first 3 terms are 2, 6, 18
(ii)
The sum to n terms of a geometric progression is
= 
, then
= 
= 
= 59049 - 1
= 59048
10xy=5
10x(2/3)x(3/4)=10xy
Answer:
The line represents a direct variation function
The line has a slope of 2
Step-by-step explanation:
In oder to find the slope given two points, use the Slope-Formula to identify the slope
m = slope
m = y2 - y1/x2 - x1
m = -8 - 10/-4 - 5
m = -18/ -9
m = 18/9
m = 2
Therefore, the slope is 2
If this is your graph then your answer is
41.41 if not ask again and put your graph or copy it then paste it in the comments
