Answer:
f(x) = (x + 1)³ - (x + 1)² = x³ + 2 x² + x
Step-by-step explanation:
To shift g(x) to the left by one unit, replace all x in the expression of g(x) with (x + 1). How does this work? For example, g(x) = -2 for x = -1 in this question. f(x) = g(x + 1) may also equate -2, but only one unit to the left of x = -1 at x = -2 since -2 + 1 = -1. So is the case for the rest of the points on g(x). f(x) = g(x + 1) leads to the same set of values but only at one unit to the left. Adding one to the independent variable of g(x) shifts the graph to the left by one unit.
To find g(x + 1), replace every x in the equation x³ - x² with (x + 1):
f(x) = g(x + 1) = (x + 1)³ - (x + 1)².
Expand (x + 1)³ - (x + 1)² using the binomial theorem:
f(x) = (x + 1)³ - (x + 1)² = x³ + 3 x² + 3 x + 1 - (x² + 2 x + 1) = x³ + 2 x² + x
Answer:
f (x) = (x-1)^3 - (x-1)^2
Step-by-step explanation:
B. 22>x> 6
C. 8< x < 14
D. 6 < x < 22
Answer:
D. 6 < x < 22
Step-by-step explanation:
For a triangle, the third side must be less than the sum of the other two sides and it must greater than the difference between the other two sides.
The possible length of the third side of the triangular pen, given the Triangle Inequality Theorem and two given side measures, is best described by the inequality D. 6 < x < 22.
To find the possible length of the third side of a triangle, we use the Triangle Inequality Theorem. The theorem states that the length of any side of a triangle is less than the sum of the lengths of the other two sides and greater than the absolute difference of the lengths of the other two sides. Here, we have the lengths of two sides as 14 ft and 8 ft.
So the sum of these two sides is 14 + 8 = 22 ft. The difference is |14 - 8| = 6 ft. Therefore, the length of the third side 'x' can range between the sum and the difference of the other two sides. Hence, the correct answer is D. 6 < x < 22.
#SPJ2
(a) What does the difference between 50 and 55 mean in the real-world context?
(b) What does the difference between 200 and 150 mean in the real-world context?
Answer:
Option 3
Step-by-step explanation:
If you look it has 2 rectabgular shaped at the top and bottom of the net allowing it to make the rectangular sides on number 3. Good Luck! Hope this helps.
Answer:
Uhm I very late but I u can give them the crown lol also was that answer correct? I’m on it right now-
Step-by-step explanation:
What is the answer