Show tow ways to evaluate a(b-c) for a=4, b=5, and c=3
2 answers:
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Answer:
y = (4/3)x − 10
Step-by-step explanation:
Rewrite in slope-intercept form.
The slope-intercept form is y = mx + b, where m is the slope and b is they-intercept.
y = mx + b
Subtract 4x from both sides of the equation.
−3y = 8 − 4x
Divide each term by −3 and simplify.
Divide each term in −3y = 8 − 4x by −3.
(−3y/−3)= (8/−3) + (−4x/−3)
Cancel the common factor of −3.
y= (8/−3) + (−4x/−3)
Simplify (8/−3) + (−4x/−3)
y= (4x/3 - 8/3)
Reorder terms.
y= 4x/3 - 8/3
Using the slope-intercept form, the slope is 4/3
m = 4/3
To find an equation that is parallel, the slopes must be equal. Find the parallel line using the point-slope formula.
Use the slope 4/3 and a given point (6, −2) to substitute for and
in the point-slope form.
−
=
(
−
) which is derived from the slope equation
(
−
)/(
-
)
y − (−2) = (4/3) ⋅ (x − (6))
Simplify the equation and keep it in point-slope form.
y − (−2) = (4/3) ⋅ (x − (6))
solve for y
y = (4/3)x − 10
Answer:
Step-by-step explanation:
The inverse of a function, is the function or rule formed by reflecting the line over y=x. This means essentially that all (x,y) values from the original function switch to (y,x).
(x,y)--->(y,x) in the new function.
If the function has points (-3,4) and (5,-2) then the inverse has points (4,-3) and (-2, 5).
We can find the equation of the inverse by switching x and y in the equation and solving for y.
This means that becomes
. We now solve for y through inverse operations.