Consider the following equation. 6 ^ ( -x ) + 4 = 3x -1
2 answers:
For this case we have the following equation:
We must clear the value of x, we follow the steps below:
We subtract 3x on both sides of the equation:
Add 1 to both sides of the equation:
Each side of the equation is drawn, then the solution is the x value of the intersection point.
Answer:
See attached image
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Answer:
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its corresponding sides is equal
so
In this problem
If polygon RSUPE is similar to polygon KQUIC
then
substitutes the values and solve for a
Answer:
k = ⅕
Step-by-step explanation:
The slope-intercept equation for a straight line is
y = mx + b, where
m = the slope and
b = the y-intercept
Data:
(3,4) = a point on the line
(3k,0) = x-intercept
(0,-5k) = y-intercept
Calculations:
1. Slope
m = (y₂ - y₁)/(x₂ - x₁) = (-5k - 0)/(0 - 3k) = -5/(-3) = ⁵/₃
This makes the equation
y = ⁵/₃x - 5k
2. k
Insert the value of the known point: (3,4)
4 = (⁵/₃)(3) - 5k
4 = 5 - 5k
-1 = -5k
k = ⅕
The figure below shows your graph passing through (3,4) with intercepts 3k and -5k on the x- and y-axes respectively .
