The differnce of 2 perfect cubes
remember
a³-b³=(a-b)(a²+ab+b²)
so
Part 1
<h3>Answer: 13</h3>
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Explanation:
We'll replace every copy of x with -3. Then use PEMDAS to simplify.
f(x) = -2x+7
f(-3) = -2(-3)+7
f(-3) = 6+7
f(-3) = 13
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Part 2
<h3>Answer: -11</h3>
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Explanation:
We work backwards in a sense compared to what part 1 did. Instead of finding f(x) based on x, we determine what x must be for a given f(x).
We'll replace f(x) with 29 and solve for x like so
f(x) = -2x+7
29 = -2x+7
-2x+7 = 29
-2x = 29-7
-2x = 22
x = 22/(-2)
x = -11
Note how if you replaced x with -11, we'd get,
f(x) = -2x+7
f(-11) = -2(-11)+7
f(-11) = 22+7
f(-11) = 29
which helps confirm we have the correct answer.
If x=-5 (-5)2+2=27
likewise put -4 -3 -2 -1 0 1 2 3
and in another equation also.
Step-by-step explanation:
Given x intercept is 1, So (x,y) is (1,0)
When x intercept is 1 then y value is 0
Another point on the line is (-2,3)
Two points are (1,0) and (-2,3)
Find out slope using the two given points
Use point slope formula
m=-1 and point(1,0)
Point slope equation is
Equation of the line in slope intercept form is
