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2 years ago

(4x3 + 3x2 - 30x - 10) ÷ (x -3)

Mathematics

1 answer:

pogonyaev2 years ago

5 0

(12x+6x-30x-10)/(x-3)=
=(-12x-10)/(x-3)
=-12x*+36- 10x+30=
=-22x+56

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manuel wanted to put a brick walkway through his backyard from door to bbq area. the walkway is going to be 6 yards long. so far

In-s [12.5K]

Answer:

155 inches

Step-by-step explanation:

1 yard = 3 feet = 36 inches ; 6 yards = 18 feet = 216 inches ; 216 inches-61 inches = 155 inches

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3 years ago

There are 21 students in an Math 111 class at Schoolcraft. Suppose you wanted to determine how many ways there are to select 5 s

Nady [450]

Answer:

<h2> Combination</h2>

Step-by-step explanation:

In this case the order of selection does not matter since we are concerned in the number of ways possible a set of students (5) can be grouped for a project, we are going to be using combination technique

In permutation the order of selection matters hence will not give the desired result

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3 years ago

How are rate of change and slope related for a linear relationship?

ale4655 [162]

Hello! In slope-intercept form, y=mx+b. M is the slope and b is the y-intercept. The rate of change and slope are interchangeable, therefore, they both create a line through the slope-intercept form. Feel free to rate my answer Brainliest if I helped you!

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3 years ago

Find f'(x) and state the domain of f': f(x) = In (2x^2+1)

-Dominant- [34]

Answer:

$f'(x) = \frac{4x}{2x^2+1}$

Domain: All Real Numbers

General Formulas and Concepts:

Algebra I

Domain is the set of x-values that can be inputted into function f(x)

Calculus

The derivative of a constant is equal to 0

Basic Power Rule:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

Chain Rule: $\frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)$

Derivative: $\frac{d}{dx} [ln(u)] = \frac{u'}{u}$

Step-by-step explanation:

Step 1: Define

f(x) = ln(2x² + 1)

Step 2: Differentiate

Derivative ln(u) [Chain Rule/Basic Power]: $f'(x) = \frac{1}{2x^2+1} \cdot 2 \cdot 2x^{2-1}$
Simplify: $f'(x) = \frac{1}{2x^2+1} \cdot 4x$
Multiply: $f'(x) = \frac{4x}{2x^2+1}$

Step 3: Domain

We know that we would have issues in the denominator when we have a rational expression. However, we can see that the denominator would never equal 0.

Therefore, our domain would be all real numbers.

We can also graph the differential function to analyze the domain.

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3 years ago

$149 guitar; 29% discount

Vikki [24]

Divide number of guitars by 100% and multiply into discount given

149/100 x 29

1.49 x 29

43.21

$43.21 had been removed

Therefore $105.79 is the guitar cost after discount

Hope it was useful ☻

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3 years ago