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Dmitry [639]
3 years ago
8

Which of the following binomials is a factor of x cubed plus 4 x squared plus x minus 6?

Mathematics
1 answer:
dusya [7]3 years ago
7 0
The first thing we are going to do in this case is to rewrite the expression.
 We have then:
 x ^ 3 + 4x ^ 2 + x - 6
 Factoring the expression we have:
 (x-1) * (x + 2) * (x + 3)
 Therefore, we observe that the following binomial is a common factor:
 (x + 2)
 Answer:
 
B. x plus 2
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Find the Area of the figure
sineoko [7]
The figure is made up of two semi-circles and one triangle

--------------------------------
Find Radius
--------------------------------
Radius = Diameter ÷ 2
Radius = 5 ÷ 2 
Radius = 2.5 ft


Area of the semi-circle = 1/2 πr²
Area of the semi-circle = 1/2 x π x (2.5)²
Area of the semi-circle = 9.82 ft²

Area of the triangle= 1/2 x base x height
Area of the triangle = 1/2 x 6 x 4
Area of the triangle = 12 ft²

Total area = 9.82 + 9.82 + 12 
Total area = 31.63 ft²

--------------------------------------------
Total Area = 31.63 ft²
--------------------------------------------
4 0
3 years ago
6. What is the slope and y-intercept of the line shown below?<br> (4,3)<br> (1,3)
KATRIN_1 [288]

Answer:

Hi! The answer to your question is Slope: 0, Y-Intercept: 3

Step-by-step explanation:

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4 0
3 years ago
X^2-x-12 factor completely
steposvetlana [31]
Use the sum-product pattern

2
−

−
1
2
x
2
−
x
−
12
x2−x−12

2
+
3

−
4

−
1
2
x
2
+
3
x
−
4
x
−
12
x2+3x−4x−12
2
Common factor from the two pairs

2
+
3

−
4

−
1
2
x
2
+
3
x
−
4
x
−
12
x2+3x−4x−12

(

+
3
)
−
4
(

+
3
)
x
(
x
+
3
)
−
4
(
x
+
3
)
x(x+3)−4(x+3)
3
Rewrite in factored form

(

+
3
)
−
4(+3)x
(x+3)−4(x+3)
x(x+3)−4(x+3)
(−4)(+3)
(x−4)(x+3)
(x−4)(x+3)
5 0
2 years ago
You are a real estate agent with ABC Real Estate company. You help sell a home for $155,000. The total commission is 6.5%. Your
gtnhenbr [62]

Answer:

$3,929.25.

Step-by-step explanation:

First, calculate the total commission.  That's found by multiplying the selling price ($155,000) by 0.065.  The result:  The total commission is $10,075.

Your company receives 60% of that.  So we multiply $10,075 by 0.60, obtaining $6,045.

Your share of the commission is 65% of that, so we multiply $6,045 by 0.65:

0.65($6,045) = $3,929.25.

Your personal share of the commission is thus $3,929.25.

4 0
3 years ago
Victoria is going to a carnival that has games and rides. Each game costs $2 and each ride costs $4. Victoria spent $16 altogeth
TiliK225 [7]

Answer:

2 rides & 4 games

Step-by-step explanation:

2 rides=$8

4 games=$8

8+8=$16

8 0
3 years ago
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