Simplify $(x^3-x+1)/( √(x) )$

Answers

Answer 1

Answer: Divide each term by $√(x)$ to get $x^(2) √(x) - √(x) + ( √(x) )/(x)$

Answer 2

Answer: $(x^(3) - x + 1)/(√(x)) = (x^(3) - x + 1)/(√(x)) * (√(x))/(√(x)) = ((x^(3) - x + 1)√(x))/(x) = (x^(3)√(x) - x√(x) + √(x))/(x) = x^(2)√(x) - √(x) + (√(x))/(x)$

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(2a^2 +a + 3) (a - 1)

Answers

Answer: 2a^3-a^2+2a-3

Step-by-step explanation:

(2a^2+a+3) (a-1)

2a^3-2a^2+a^2-a+3a-3

2a^3-a^2+2a-3

Note: If you need extra help with this topic, I suggest you should search up "how to multiply a trinomial by a binomial" on Google. It will help you a lot!

The greatest common factor of 3m^2n+12mn^2 is

Answers

3m²n + 12mn²
3mn(m) + 3mn(4n)
3mn(m + 4n)

The GCF of this expression is 3mn.

What is the equation of the graphed line in point-slope form? y – 1 = 2/3 (x + 3), y – 1 = 2/3 (x – 3), y + 1 = 2/3 (x – 3), y + 1 = 2/3 (x + 3) (Points are at (-3,-3) and (3,1)

Answers

Slope = 4/6= 2/3
Intercept is -1 (I think just check with gradient on graph in doing in my head)

Y=MX+B
Y=2/3X-1 ( if my calculations add up

The fraction 9/15 is an equivalent fraction of

6/20

1/2

3/5

Answers

Answer:

3/5

Step-by-step explanation:

3/5 is equal to 9/15.

$\implies {\blue {\boxed {\boxed {\purple {\sf { C. \: (3)/(5) }}}}}}$

$\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}$

➺ $\: (9)/(15)$

➺ $\: (3 * 3)/(3 * 5)$

➺ $\: (3)/(5)$

The fraction $\: (9)/(15)$ is an equivalent fraction of $\: (3)/(5)$ .

$\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}$

Consider the function f(x)=6x+5
(A) find it’s average rate of change by changing x=1 to x=5

Answers

Answer: I really don’t know

Step-by-step explanation: I need help with this as well. I’m really sorry if you were looking for a real answer

Final answer:

The average rate of change of the function f(x) = 6x +5 over the interval x = 1 to x = 5 is calculated with the formula Δf/Δx and is found to be 6.

Explanation:

In the given function, f(x) = 6x + 5, the average rate of change is calculated by the formula Δf/Δx, which refers to the change in the function value over the change in the x-value. Plugging in the given values, we have:

Δf = f(5) - f(1) = [6(5) + 5] - [6(1) + 5]

Δx = 5 - 1

So, the average rate of change is Δf/Δx = [30 + 5 - 6 - 5]/(5 - 1) = 24/4 = 6.

Learn more about Rate of Change here:

brainly.com/question/31226174

#SPJ2

If A(1/3.5, 5) and B(10,39)..
Find the slope

Answers

Answer:

b 1/3.5

Step-by-step explanation:

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Which shows one way to determine the factors of x3 – 9x2 + 5x – 45 by grouping?x2(x – 9) – 5(x – 9) x2(x + 9) – 5(x + 9) x(x2 + 5) – 9(x2 + 5) x(x2 – 5) – 9(x2 – 5)