Answer:
General Formulas and Concepts:
Calculus
Differentiation
Basic Power Rule:
Step-by-step explanation:
Step 1: Define
Identify
Step 2: Differentiate
Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Differentiation
7 - 2m
2m + 7
14m + 5n - 6
9m
Answer:
A and B.
Step-by-step explanation:
The original expression is 3x+2(x-1)-4, so let's simplify it to obtain an equivalent expression:
First we destroy the parenthesis applying distributive property:
3x+2x-2-4, so option A is correct.
Then, add the similar terms (3x can be added with 2x and -2 can be added with -4):
5x-6, so option B is also correct.
C is not correct because 3(x-4) = 3x-12 ≠ 5x-6.
D is not correct because 3(x + 2) - 6 = 3x+6-6 = 3x ≠ 5x-6.
E is not correct because 6(x - 1) = 6x-6 ≠ 5x-6.
Then, correct options are A and B.
B. h(x) + 41 = 31x2 + 77x
C. y = 31x2 + 77x − 41
D. y + 41 = 31x2 + 77x
Answer:
I think the answer is A. y= 31x2 + 77x + 41
Step-by-step explanation:
The function h(x) = 31x2 + 77x + 41 can also be written as y = 31x2 + 77x + 41, as y is often used interchangeably with f(x) or h(x) in mathematical functions. The remaining options do not accurately reformulate the original equation.
The function
h(x) = 31x2 + 77x + 41
can also be written as
y = 31x2 + 77x + 41
. This is because in mathematical functions, y is often used interchangeably with f(x) or h(x), representing the output or dependent variable. It's important to note that, the other options do not correctly represent the original equation. In Option B, the constant term is incorrectly added to the function on the left side; in Option C, the constant term is incorrectly subtracted; and in Option D, the constant term is incorrectly added to 'y' on the left side.
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Answer:
c
Step-by-step explanation: