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Mkey [24]
4 years ago
14

x2 + 7x - 18 Select one of the factors of the quadratic expression. A) (x+2) B) (x+6) C) (x-2) D) (x-6)

Mathematics
2 answers:
lubasha [3.4K]4 years ago
5 0
The factors of this expression would be (x+9)(x-2). You have to find two numbers that are factors of -18 that add up to 7. These numbers would be 9 and -2:
(9)x(-2)= -18
and 9 + (-2)= 7
Your answer is C) (x-2).
sineoko [7]4 years ago
5 0

Answer:

The right answer is C) (x - 2).

Step-by-step explanation:

Given x² + 7x -18 , to find the correct factor you have to apply Baskhara´s equation

x = [-b ± √(b²- 4·a·c)]/2·a where a,b and c are the coeficietns of the quadratic equation, with a= 1, b= 7 and c= -18.

When you replace each term on the formula, you have

x= [-7 ± √(7² - 4·1·(-18)]/ 2·1 ⇒ x = [-7 ÷ √121]/2 ⇒ then you will find two solutions x1 and x2.

x1 = (-7 + 11)/2 ⇒ x1= 2

x2 = (-7 - 11)/2 ⇒x2=-9

Here you have the factors of the given equation.

So, x² + 7x -18 = (x-2) · (x +9).

Summarizing, the correct option is C) (x - 2)

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12x – 4 = 44, select the appropriate property of equality to move the constant term to the right side of the equation
ddd [48]

Answer:

Addition POE

Step-by-step explanation:

I believe it is the addition POE because

12x-4=44

To get 4 (the constant) to the right you have to do the inverse of subtraction which is addition. By doing so You would add 4 to both side, canceling it out on the left side and adding the 4 to the right side (44).

12x-4=44

   <u> +4    +4</u>

12x=48

12/12=48/12

x=4

7 0
4 years ago
Which angles are congruent to each other?
enyata [817]

Answer:

<8 and <6 are congruent to each other.

Step-by-step explanation:

A protractor was used to determine the answer.  They both measured to 140 degrees.  

3 0
4 years ago
A zoo worker works 189.25 hours in 23 days. If she works the exact same number of hours per day, how many hours does she work ea
asambeis [7]
You have to divide 189.25 hours by 23 days.
3 0
3 years ago
Can you guys help me?
Simora [160]
8 if not then i’m sorry
8 0
3 years ago
Which of the following shows the graph of the eniquality y&gt;x+3<br><br> PLEASE include image
7nadin3 [17]

in plain and short, to graph an inequality, we first graph its EQUALITY graph, and then we do the shading.

so to graph y > x + 3, we first graph y = x + 3, which is just a line, and then do a true/false check on a point to see which side we shade.

let's hmmm  check the point say (0,2), x = 0, y = 2.

y > x + 3

2 > 0 + 3

2 > 3  <--- is that true?  is 2 really larger than 3?  nope, so is false.

that simply means that the point (0, 2)  is on the false area, so that's the area we do NOT shade, so <u>we shade the other side</u>.

y > x + 3, means "y" is greater than or larger than that line, but not equals, larger not equal, meaning the values on the borderline are not included, so the line is a dashed line.


check the picture below.

5 0
4 years ago
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