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Anna [14]
3 years ago
6

Use the grouping method to factor this polynomial completely. 4x3 + 8x2 + 3x+6

Mathematics
2 answers:
Vilka [71]3 years ago
5 0

Answer:

(x + 2)(4x^2 + 3)

Step-by-step explanation:

The first two terms factor as follows:  4x^2(x + 2).

The last two factor as follows:  3(x + 2).

Thus, (x + 2) is a factor of 4x3 + 8x2 + 3x+6:

4x^2(x + 2) + 3(x + 2), or:

(x + 2)(4x^2 + 3).

Note that 4x^2 + 3 can be factored further, but doing so yields two complex roots.

kati45 [8]3 years ago
5 0

Answer: (x + 2)(4x^2 + 3)

Step-by-step explanation:

4x3 + 8x2 + 3x+6 becomes 4x^2(x + 2) + 3(x + 2) and can also be written as (x + 2)(4x^2 + 3).

----------------------

Now you know the answer as well as the formula. Hope this helps, have a BLESSED AND WONDERFUL DAY!

- Cutiepatutie ☺❀❤

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The point (-4‚-2) lies on a circle. What is the length of the radius of this circle if the center is located at (-8‚-10)
MAVERICK [17]

Answer:

<em>4√5</em>

Step-by-step explanation:

The length of the radius of the circle will be the distance between the two coordinates. Using the formula:

D = √(x₂-x₁)²+(y₂-y₁)²

Given the coordinates (-4‚-2) and (-8‚-10)

R = √(-8-(-4))²+(-10-(-2))²

R = √(-4)²+(-8)²

R = √16+64

R = √80

R = √16*5

R = 4√5

<em>Hence the  length of the radius of this circle is 4√5</em>

5 0
3 years ago
Help help help help help help help help
netineya [11]

Answer:

5 cartons  of eggs

3 packages  of steaks

Total cost=$55

Step-by-step explanation:

Hi, to answer this question we have to find the least common multiple of  

6 (number of eggs in a carton) and 10 (number of ham steaks in each package)

LCM = 30

6 12 18 24 30

10 20 30 40 50

Since each carton of eggs (x) has 6 eggs, that expression must be equal to 30(eggs) to find the number of cartons.

6 (x ) = 30

Solving for x

x = 30/6

x = 5 cartons

Same process for the steak, where y= number of packages .  

10 y = 30

y = 30/10

y=3 packages

Since each carton costs $2 and each package of steaks cost $15:

Total Cost =x 2+y 15  

Replacing with the values of x and y calculated

Total cost = (5)2 + (3)15 = 10+45 =$55

Feel free to ask for more if needed or if you did not understand something.

6 0
3 years ago
Please someone help me !! :(
geniusboy [140]

Answer: 27 times bigger.

Step-by-step explanation:

You need to use the following formula to find the volume of a Square pyramid:

V=\frac{1}{3}s^2h

Where "s" is the edge of a side of the square base and "h" is the height of the pyramid.

Knowing that:

s_A=12\ in\\\\h_A=8\ in\\\\\\s_B=36\ in\\\\h_B=24\ in

You can find the volume of the Pyramid A and the volume of the Pyramid B:

V_A=\frac{1}{3}(12\ in)^2(8\ in)\\\\V_A=384\ in^3\\\\\\V_B=\frac{1}{3}(36\ in)^2(24\ in)\\\\V_B=10,368\ in^3

Finally divide the volume of the Pyramid B and the volume of the Pyramid A, in order to find how many times bigger than the Pyramid A is the Pyramid B.

You get:

\frac{10,368\ in^3}{384\ in^3}=27

7 0
4 years ago
How many times in a 24-hour day will the hour and minute hands of a 12-hour analog clock form a 90-degree angle
bezimeni [28]

Answer:

44

Step-by-step explanation:

In other words, the minute hand "overtakes" the hour hand on 44 occasions in 24 hours in order to give a 90 degree angle. Therefore the answer to your question is 44.

7 0
3 years ago
Read 2 more answers
HELPPP PLEASE!! Which two fixed points define the shape ellipse
Marysya12 [62]

Answer: The answer is b i took the test plsss tell me if it helps;)

8 0
3 years ago
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