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Gala2k [10]
2 years ago
9

Which model shows the correct factorization of x2 – x – 2? An algebra tile configuration. 3 tiles are in the Factor 1 spot: 1 is

labeled x and 2 are labeled. 2 tiles are in the Factor 2 spot: 1 is labeled x and 1 is labeled negative. 6 tiles are in the Product spot: 1 is labeled x squared, 2 are labeled x, 1 is labeled negative x, and 2 are labeled negative. An algebra tile configuration. 3 tiles are in the Factor 1 spot: 1 is labeled x and 2 are labeled negative. 2 tiles are in the Factor 2 spot: 1 is labeled x and 1 is labeled. 6 tiles are in the Product spot: 1 is labeled x squared, 2 are labeled negative x, 1 is labeled x, and 2 are labeled negative. An algebra tile configuration. 3 tiles are in the Factor 1 spot: 1 is labeled x, 1 is labeled , and 1 is labeled negative. 2 tiles are in the Factor 2 spot: 1 is labeled x and 1 is labeled negative. 6 tiles are in the Product spot: 1 is labeled x squared, 1 is labeled x, 2 are labeled negative x, and 2 are labeled negative. An algebra tile configuration. 3 tiles are in the Factor 1 spot: 1 is labeled x and 2 are labeled. 2 tiles are in the Factor 2 spot: 1 is labeled x and 1 is labeled. 6 tiles are in the Product spot: 1 is labeled x squared, 2 are labeled x, 1 is labeled negative x, and 2 are labeled.
Mathematics
1 answer:
ehidna [41]2 years ago
3 0

The correct factor is (x - 2) and (x + 1).

<h2>Quadratic equation</h2>

It is a polynomial that is equal to zero. Polynomial of variable power 2, 1, and 0 terms are there. Any equation having one term in which the power of the variable is a maximum of 2 then it is called a quadratic equation.

Given

x² - x - 2 = 0 is a quadratic equation.

<h3>To find </h3>

The factor of the given equation.

<h3>How to find the factor of the given equation?</h3>

x² - x - 2 = 0 is a quadratic equation.

According to factorization,

            x² - x - 2 = 0

    x² - 2x + x - 2 = 0

x(x - 2) +1 (x - 2) = 0

  ( x - 2 ) ( x + 1 ) = 0

Thus the correct factor is (x - 2) and (x + 1).

More about the quadratic equation link is given below.

brainly.com/question/2263981

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Sadiir took a math test and got 10 incorrect answers and 40 incorrect answers. What was the percentage of correct answers? The c
Aleks [24]
10-incorrect
40-correct
x\100*50=40 ?
~~~~~~~~~~~~
x=100*40\50=2*40=80 percent
So the correct answer is C.
Have a nice day!!! ^^

8 0
3 years ago
Read 2 more answers
Given the functions a(x) = 3x - 12 and b(x) = x-9, solve a[b(x)].
Thepotemich [5.8K]

Answer:

Step-by-step explanation:

hello :

a(x) = 3x - 12 and b(x) = x-9, so

a[b(x)]=a(x-9) =3(x-9)-12

a[b(x)]=3x-9-12

a[b(x)]=3x+21

5 0
2 years ago
Simplify the given expression. (16x^2 + 15xy – 19y^2) – (3x^2 – 3xy)
ruslelena [56]

Answer:

-19 y^2 + 18 x y + 13 x^2

Step-by-step explanation:

Simplify the following:

16 x^2 + 15 x y - 19 y^2 - (3 x^2 - 3 x y)

Factor 3 x out of 3 x^2 - 3 x y:

16 x^2 + 15 x y - 19 y^2 - 3 x (x - y)

-3 x (x - y) = 3 x y - 3 x^2:

16 x^2 + 15 x y - 19 y^2 + 3 x y - 3 x^2

Grouping like terms, 16 x^2 + 15 x y - 19 y^2 - 3 x^2 + 3 x y = -19 y^2 + (15 x y + 3 x y) + (16 x^2 - 3 x^2):

-19 y^2 + (15 x y + 3 x y) + (16 x^2 - 3 x^2)

x y 15 + x y 3 = 18 x y:

-19 y^2 + 18 x y + (16 x^2 - 3 x^2)

16 x^2 - 3 x^2 = 13 x^2:

Answer:  -19 y^2 + 18 x y + 13 x^2

4 0
3 years ago
Read 2 more answers
A collection of nickels and dimes is worth $9.45. If the number of dimes is doubled, the value is
eduard

Answer:

The number of nickels is 45 and the number of dimes is 72.

Step-by-step explanation:

Let

x ----> number of nickels

y ----> number of dimes

Remember that

1\ nickel=\$0.05

1\ dime=\$0.10

so

0.05x+0.10y=9.45 ------> equation A

0.05x+0.10(2y)=16.65

0.05x+0.20y=16.65 ------> equation B

<em>Solve the system by substitution</em>

we have

0.05x+0.10y=9.45 ------> equation A

0.05x+0.20y=16.65 ------> equation B

Multiply both equations by 100 both sides

5x+10y=945 ---->5x=945-10y --> equation C

5x+20y=1,665 ----> equation D

substitute equation C in equation D

(945-10y)+20y=1,665

solve for y

945+10y=1,665

10y=1,665-945

10y=720

y=72\ dimes

Find the value of x

5x=945-10y

5x=945-10(72)

5x=225

x=45\ nickels

<em>Alternative Method</em>

Solve the system by graphing

Remember that the solution is the intersection point both graphs

using a graphing tool

the solution is the point (45,72)

therefore

The number of nickels is 45 and the number of dimes is 72.

7 0
3 years ago
A youth club organizer is plannning a day trip for the club members. The cost of the trip is $330 and club has already saved $75
alexgriva [62]

Answer:

Step-by-step explanation:

330 = 21x + 75

7 0
3 years ago
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