All categories

2 years ago

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

Mathematics

1 answer:

Sonbull [250]2 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

You might be interested in

In the graph, if the number of manufactured units falls below 6.25, then the business will be operating in what state?

AURORKA [14]

It would be in a state of loss because the units manufactured neither reaches nor exceeds the break even point.

6 0

3 years ago

Valentina is trying to decide whether to join her school's swim team. During the summer, the team practices 4 days per week. Eac

Aloiza [94]

Answer:

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

Pls just type it in no files pls and thank you

Nana76 [90]

Answer:

Step-by-step explanation:

First type of clay required 3 cups of flour per batch

She made 5 batches

5 * 3 = 15

So she used 15 cups of flour for the first type of clay

Second kind of clay required 4 cups of flour per batches

She made 4 batches

4 * 4 = 16

So she used 16 cups of flour for the second type of clay

we now add the total number of cups of flour used for each type of clay

16 + 15 = 31

She used a total of 31 cups of flour

5 0

2 years ago

Factor the expression completely.

evablogger [386]

Answer:

Factoring the expression $xy^4+x^4y^4$ completely we get $\mathbf{xy^4(x+1)(x^2-x+1)}$

Step-by-step explanation:

We need to factor the expression $xy^4+x^4y^4$ completely

We need to find common terms in the expression.

Looking at the expression, we get $xy^4$ is common in both terms, so we can write:

$xy^4+x^4y^4\\=xy^4(1+x^3)$

So, taking out the common expression we get: $xy^4(1+x^3)$

Now, we can factor the term (1+x^3) or we can write (x^3+1) by using formula:

$a^3+b^3=(a+b)(a^2-ab+b^2)$

So, we get:

$xy^4(1+x^3)\\=xy^4(x^3+1)\\Applying\:the\:formula\;of\:a^3+b^3\\=xy^4(x+1)(x^2-x+1)$

Therefor factoring the expression $xy^4+x^4y^4$ completely we get $\mathbf{xy^4(x+1)(x^2-x+1)}$

6 0

3 years ago

The surface area for a rectangular prism with a square base is SA=2s2+4sh.

torisob [31]

We know that
[surface area for a rectangular prism with a square base ]=2*s²+4*s*h

2*s²----> Is the surface area of the bases
4*s*h---> is the lateral area
s=2 units
h=4 units

[surface area for a rectangular prism with a square base ]=2*2²+4*2*4
surface area=8+32----> 40 units²

the answer is
40 units²

3 0

3 years ago

Read 2 more answers

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)