Answer:
The desired equation is y = (-8/3)x + 26/3.
Step-by-step explanation:
Moving from (1,6) to (4, -2) involves an increase of 3 in x and a decrease of 8 in y. Thus, the slope of the line thru these two points is m = rise / run = -8/3.
Using the slope-intercept form of the eq'n of a straight line and inserting the data given (slope = m = -8/3, x = 4, y = -2), we get:
y = mx + b => -2 = (-8/3)(4) + b, or -2 = -32/3 + b
Multiply all terms by 3 to clear out the fraction:
-6 = -32 + 3b.
Then 26 = 3b, and b = 26/3.
The desired equation is y = (-8/3)x + 26/3.
Answer:
Step-by-step explanation:$500.00 20-10%
The table of values that could be used to graph g(x), a reflection of f(x) across the x-axis is table (c)
<h3>How to determine the table of values?</h3>
From the question, we have the following equation that can be used in our computation:
f(x) = One-third(6)x
When this statement is represented as an equation, we have the following representation
f(x)= 1/3(6)ˣ
The transformation is given as
A reflection of f(x) across the x-axis
This means that
g(x) = -f(x)
So, we have
g(x) = -1/3(6)ˣ
What this means is that the values of f(x) are negated to get g(x)
The table that represents this is table (c)
Hence, the table of values is table (c)
Read more about transformation at
brainly.com/question/27224272
#SPJ1
Answer:
x=0
Step-by-step explanation:
Setting f(x)= (x-4)(x+4) = to 0 and solving for x produces the two x-intercepts (not Intersepts) of the function: They are 4 and -4.
The midpoint between these two intercepts is 0.
3 √2 3√2(2√3 + 5√2) 30 + 6√6 30 + 6√6
------------- = ----------------------------- = ------------------ = ----------------
2√3 - 5√2 (2√3 - 5√2)(2√3 + 5√2) 12 - 50 -38
-15 - 3√6
= ---------------- answer
19
