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3 years ago

F(x) = 3x2 – x + 5; g(x) = 2x – 3. find f(x)-g(x)

Mathematics

1 answer:

Sonbull [250]3 years ago

8 0

Answer:

f(x) - g(x) = 3x² - 3x + 8

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Distributive Property

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify

f(x) = 3x² - x + 5

g(x) = 2x - 3

Step 2: Find f(x) - g(x)

Substitute in function values: f(x) - g(x) = 3x² - x + 5 - (2x - 3)
[Distributive Property] Distribute negative: f(x) - g(x) = 3x² - x + 5 - 2x + 3
[Subtraction] Combine like terms (x): f(x) - g(x) = 3x² - 3x + 5 + 3
[Addition] Combine like terms: f(x) - g(x) = 3x² - 3x + 8

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Answer:

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Step-by-step explanation:

Given

$(x_1,y_1) = (-1,0.8)$

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The above graph is represented as:

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$a = 2$

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We have:

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Find the vector projection of B onto A if A = 5i + 11j – 2k,B = 4i + 7k

valkas [14]

Answer:

$\frac{3}{13} i+\frac{11}{130} j-\frac{6}{65} k\\$

Step-by-step explanation:

Given A = 5i + 11j – 2k and B = 4i + 7k, the vector projection of B unto a is expressed as $proj_ab = \dfrac{b.a}{||a||^2} * a$

b.a = (5i + 11j – 2k)*( 4i + 0j + 7k)

note that i.i = j.j = k.k =1

b.a = 5(4)+11(0)-2(7)

b.a = 20-14

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||a||² = (√130)

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3 years ago

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Alja [10]

Answer:

Option B.

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3 years ago

F(x) = 3x2 – x + 5; g(x) = 2x – 3. find f(x)-g(x)​

F(x) = 3x2 – x + 5; g(x) = 2x – 3. find f(x)-g(x)