Consider the polynomial This polynomial has four terms:
- term of 4th degree;
- term of 1st degree;
- term of 2nd degree;
- term of 0 degree or simply the coefficient without variables.
1. What polynomial must be subtracted from it to obtain
You must take off first and second terms at all and add termw with and coefficient. Thus, you have to subtract polynomial .
Check:
2. What polynomial must be added to it to obtain a first degree polynomial?
If you want to obtain a 1st degree polynomial, then you must take off terms of 4th and 2nd degree. So you have to add
Check:
Answer: 1) 2)
X^2 + y^2 = (3x^2 + 2y^2 - x)^2
2x + 2y f'(x) = 2(3x^2 + 2y^2 - x)(6x + 4y f'(x) - 1) = 36x^3 + 24x^2yf'(x) + 24xy^2 + 16y^3f'(x) - 4y^2 - 18x^2 - 8xyf'(x) + x
f'(x)(2y - 24x^2y - 16y^3 + 8xy) = 36x^3 + 24xy^2 - 4y^2 - 18x^2 - x
f'(x) = (36x^3 + 24xy^2 - 4y^2 - 18x^2 - x)/(2y - 24x^2y - 16y^3 + 8xy)
f'(0, 0.5) = -4(0.5)^2/(2(0.5) - 16(0.5)^3) = -1/(1 - 2) = -1/-1 = 1
Let the required equation be y = mx + c; where y = 0.5, m = 1, x = 0
0.5 = 1(0) + c = 0 + c
c = 0.5
Therefore, the tangent line at point (0, 0.5) is
y = x + 0.5
Answer:
R(x) - S(x) = 9x + 5
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Distributive Property
<u>Algebra I</u>
- Terms/Coefficients
- Function Notation
Step-by-step explanation:
<u>Step 1: Define</u>
R(x) = 6x - 3
S(x) = -3x - 8
<u>Step 2: Find</u>
- Substitute in functions: R(x) - S(x) = 6x - 3 - (-3x - 8)
- [Distributive Property] Distribute negative: R(x) - S(x) = 6x - 3 + 3x + 8
- [Addition] Combine like terms: R(x) - S(x) = 9x + 5
Answer:
x= −7/5
Step-by-step explanation:
Step 1: Distribute and combine like terms
3(x−6)−8x=−2+5(2x+1)
(3)(x)+(3)(−6)+−8x=−2+(5)(2x)+(5)(1)(Distribute)
3x+−18+−8x=−2+10x+5
(3x+−8x)+(−18)=(10x)+(−2+5)(Combine Like Terms)
−5x+−18=10x+3
−5x−18=10x+3
Step 2: Subtract 10x from both sides.
−5x−18−10x=10x+3−10x
−15x−18=3
Step 3: Add 18 to both sides.
−15x−18+18=3+18
−15x=21
Step 4: Divide both sides by -15.
Hope this helps! :)
Answer:
156=2s+3b s-8=b
Step-by-step explanation:
s=sundaes
b=banana splits