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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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In order to determine an interval for the mean of a population with unknown standard deviation, a sample of 24 items is selected
nikitadnepr [17]

If the sample size of population is 24 then the number of degrees of freedom for reading the t  value is 23 which is option c.

Given sample size of 24,mean 23.

We have to determine the number of degrees of freedom which will be used to find the critical values of t.

Degree of freedom is the number of values in the final calculation of a statistic that are free to vary means that can change their values in the formula of calculating t.

t=(X-μ)/s/\sqrt{n}

where X is sample mean ,

μ is hypothsised population mean

s is sample standard deviation

n is sample size.

Degree of freedom=n-1

In this question n is 24 so the degree of freedom =24-1=23.

Hence the number of degrees of freedom for reading the t value is 23.

Learn more about degree of freedom at brainly.com/question/17305237

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5 0
2 years ago
Can relative maximums and minimums be at the endpoints? I know global max/min can be at endpoints but I'm not sure about relativ
KatRina [158]

Answer:

No

Step-by-step explanation:

Just because the derivative is 0 at a point doesn't necessarily mean it is a relative minimum or maximum.  You must be able to evaluate the derivative on both sides of the point to determine if it changes signs.  Since endpoints have only one side, they cannot be relative maximums or minimums.

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2 years ago
A right triangle has legs 8 and 15. What is its perimeter?<br> 60, 46, 23 or 40?
SCORPION-xisa [38]

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Step-by-step explanation:

6 0
3 years ago
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A stop sign that is 7 feet tall casts a shadow that is 8 feet long. Find the length of the shadow casted by a nearby 63-foot tal
NeTakaya

Answer:

72 feet is the answer. The shadow of the 63 ft tower.

7 0
3 years ago
Need help ASAP please!
alukav5142 [94]

To solve for x, you need to isolate/get the variable "x" by itself in the formula:

ax + 5 = by - 10  Subtract 5 on both sides

ax + 5 - 5 = by - 10 - 5

ax = by - 15     Divide a on both sides to get x by itself

\frac{ax}{a}  =\frac{by-15}{a}

x=\frac{by-15}{a}    Your answer is B

3 0
3 years ago
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