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Zielflug [23.3K]
2 years ago
14

Complete factorization of x^3+4x^2-20x-48

Mathematics
1 answer:
miskamm [114]2 years ago
5 0

Answer:

 (x + 6) • (x + 2) • (x - 4)

Step-by-step explanation:

STEP

1

:

Equation at the end of step 1

 (((x3) +  22x2) -  20x) -  48

STEP

2

:

Checking for a perfect cube

2.1    x3+4x2-20x-48  is not a perfect cube

Trying to factor by pulling out :

2.2      Factoring:  x3+4x2-20x-48  

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1:  x3-48  

Group 2:  4x2-20x  

Pull out from each group separately :

Group 1:   (x3-48) • (1)

Group 2:   (x-5) • (4x)

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Solve the problem. Round the point estimate to the nearest thousandth. Find the point estimate of the proportion of people who w
Blababa [14]

Answer:

b. 0.055

Step-by-step explanation:

The point estimate of the proportion of people who wear hearing aids is

The number of people in the sample who wear hearing aids divided by the total number of people in the sample.

In this problem, we have that:

Sample of 855.

47 people in the sample had hearing aids.

47/855 = 0.0549

Rounding up

0.055

So the correct answer is:

b. 0.055

4 0
3 years ago
Write the opposite of – 1/2 explain.
mrs_skeptik [129]
The opposite of -1/2 is 1/2. If you put -1/2 in absolute value, then the answer is 1/2.
8 0
3 years ago
A local hamburger shop sold a combined total of 763 hamburgers and cheeseburgers on Saturday. There were 63 more cheeseburgers s
Airida [17]
In order to solve this we'll start by assigning variables to hamburgers and cheeseburgers, since these are what we're trying to find. Lets say x = hamburgers and y = cheeseburgers. So we know two things, we know that x+y= 763 (hamburgers plus cheeseburgers sold equals 763, and we know that y= x+63 (cheeseburgers sold equals 63 more than hamburgers sold). Now we have a system of equations. This can be solved most easily by rearranging each equation to each y, and then set them equal to each other:
x+y=763 -> y=763-x, and we already have y=x+63. Set them equal to each other:
x+63 = 763-x (add x to both sides) -> 2x+63 = 763 (subtract 63 from both sides) -> 2x = 700 (divide both sides by 2) x = 350. So we solved for x, which is hamburgers sold, which is what the question asks for, so your answer is 350 hamburgers were sold on Saturday
6 0
3 years ago
This is distance & midpoint formulas I don’t know how to solve this can anyone help?
Tasya [4]

Answer:

midpoint formula: (x₁ + x₂)/2, (y₁ + y₂)/2

distance: √[(x₂ - x₁)² + (y₂ - y₁)²]

Step-by-step explanation:

What points are you trying to calculate the distance and the midpoint for?

8 0
3 years ago
BRAINIEST AND 10 POINTS
Alinara [238K]

Answer:

Last answer is correct..

7 0
3 years ago
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