All categories

3 years ago

Solve each polynomial equation by factoring 4x^3+7x^2-5x=6

1 answer:

3 0

$4x^3+7x^2-5x=6\\
4x^3+7x^2-5x-6=0\\
4x^3+8x^2-x^2-2x-3x-6=0\\
4x^2(x+2)-x(x+2)-3(x+2)=0\\
(4x^2-x-3)(x+2)=0\\
(4x^2-4x+3x-3)(x+2)=0\\
(4x(x-1)+3(x-1))(x+2)=0\\
(4x+3)(x-1)(x+2)=0\\
x=-\dfrac{3}{4} \vee x=1 \vee x=-2$

You might be interested in

Can someone help me with this

Oksanka [162]

Answer:

Step-by-step explanation:

We know that the formula for the area of something is 1/2 * base * height

So we multiply 1/2 * 8 * 2 for The first triangle and get 8

Repeat for the other 3:

1/2* 2*2 = 2

8+8+2+2 = 20

* there are 4 triangles but I only needed to do the formula for two of them because they have identical triangles.

I hope this helps :)

- Darrell (the 1 inventor)

7 0

3 years ago

I have to find the area of the shaded region

Crank

You see the 2 squares or whatever multiply them one by one so

3 0

3 years ago

Completing the square when the equation doesn't equal 0, e.g.

Hunter-Best [27]

It's as it is said $y = x^2+6x+12$ .
Your question is unclear.

3 0

3 years ago

The table shows the relationship between the number of members in a group and the minuted each member speaks during the presenta

Roman55 [17]

Hey! I'm from connections academy too. Which was the answer??

6 0

3 years ago

Most dermatologists recommend using sunscreens that have a Sun Protection Factor (SPF) of at least 30. One of the authors wanted

Basile [38]

Answer: We are 95% confident that the mean SPF level of sunscreen used by all Cal Poly students is between 29.0813 and 40.0187.

Step-by-step explanation:

Given : Significance level : $\alpha: 1-0.95=0.05$

Sample size : n= 52 , which is a large sample (n>30), so we use z-test.

By using z-value table,

Critical value: $z_{\alpha/2}=1.96$

Sample mean : $\overline{x}= 34.55$

Standard deviation : $\sigma= 20.12$

The confidence interval for population means is given by :-

$\overline{x}\pm z_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}$

i.e. $34.55\pm(1.96)\dfrac{ 20.12}{\sqrt{52}}$

$=34.55\pm5.46867829455\\\\\approx34.55\pm5.4687\\\\=(34.55-5.4687, 34.55+5.4687)=(29.0813,\ 40.0187)$

Now, the 95% confidence interval for the ppopulation mean = . (29.0813, 40.0187)

Hence, We are 95% confident that the mean SPF level of sunscreen used by all Cal Poly students is between 29.0813 and 40.0187.

7 0

3 years ago