Answer:
(2,2)
Step-by-step explanation:
step 1
Find the equation of f(x)
is a line that passes through the points (0,6) and (3,0)
Find the slope
The function f(x) in slope intercept form is equal to
step 2
Find the inverse
Let y=f(x)
Exchange the variables x for y and y for x
Isolate the variable y
Let
step 3
Solve the system of equations
equate both functions
solve for x
substitute the value of x in any of the functions
The solution is the point (2,2)
therefore
Their point of intersection is (2,2)
Answer: 720ways, 24ways
Step-by-step explanation:
Given the seven letter words "SYSTEMS", if E is always occurring before M it means E and M will always be together therefore they letter 'EM' will be taken as an entity to five us 6letters i.e SYST(EM)S.
This can then be arranged in 6!ways
6! = 6×5×4×3×2×1 = 720ways
Similarly, if the E somewhere before the M and the three Ss grouped consecutively, this means E and M must always be together as well as the Ss to give (SSS)YT(EM).
This means that the letters in the bracket can be taken as an entity to give a total of 4 entities. This can them be arranged in 4! ways.
4! = 4×3×2×1
4! = 24ways
5’096 m
If one side of the rectangle is 52m then you can assume that both sides would equal 104m. That leaves the other 2 sides to equal 196, and that means that one of the other sides would equal 98. The equation to find area is length x hight, so you’re gonna do 52 x 98 giving you 5’096. :) hope that helps!!
Step-by-step explanation:
The above sequence is a geometric sequence
For an nth term in a geometric sequence
where
n is the number of terms
a is the first term
r is the common ratio
From the question
a = 5
r = 10/5 = 2
Therefore the explicit formula for this sequence is
Hope this helps you
