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SashulF [63]
3 years ago
15

Imagine you are teaching a younger student how to factor. Describe in full sentences what you would say to teach the young stude

nt how to factor the trinomial x^{2} + 4x - 21 into (x - 3)(x + 7). Your description must include at least 3 different steps.
Mathematics
1 answer:
djyliett [7]3 years ago
3 0

Answer:

x^2+ 4x - 21 =(x-3)(x+7)

Step-by-step explanation:

To factor the trimonial: x^2+ 4x - 21, we follow these steps:

Step 1: Multiply the first and last term

-21 \times x^2=-21x^2

Step 2: List out product factors of the term derived above

-21=-1 \times 21\\ -21=-3 \times 7\\-21=3 \times -7\\-21=1 \times -21

Step 3: Determine which of the factors sum up to the middle term 4x

The required product is: -3 and 7

Therefore: -3x+7x=4x

Step 4: Replace the middle term by the expression derived in step 3 and factorize.

x^2+ 7x -3x- 21\\=x(x+7)-3(x+7)\\=(x-3)(x+7)

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Gre4nikov [31]

Answer:

The correct order is :

1. Determine the null and alternative hypothesis.

2. Select a sample and compute the z - score for the sample mean.

3. Determine the probability at which you will conclude that the sample outcome is very unlikely.

4. Make a decision about the unknown population.

Step-by-step explanation:

The correct order of the steps of a hypothesis test is given following

1. Determine the null and alternative hypothesis.

2. Select a sample and compute the z - score for the sample mean.

3. Determine the probability at which you will conclude that the sample outcome is very unlikely.

4. Make a decision about the unknown population.

These steps are performed in the given sequence to test a hypothesis.

6 0
3 years ago
How do i use properties of exponents
STatiana [176]
You can use the properties of exponents in three ways: Products of Power and Power to Power


Explanation:

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Power to a Power: When you have a power to a power, you multiply the exponents.
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3 0
3 years ago
Suppose that 14 inches of wire costs 84 cents.
mamaluj [8]

Answer: 222 cents

Step-by-step explanation: 84/14 = 6 This is the unit rate.

6 x 37 = 222

6 0
1 year ago
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Help pls with 10 and 11
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A) 24 ribbons

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3 years ago
The heights in inches of orangutans Are normally distributed with a population standard deviation of 3" and an unknown populatio
CaHeK987 [17]

Answer: The 95% confidence interval is approximately (55.57, 58.43)

======================================================

Explanation:

At 95% confidence, the z critical value is about z = 1.960 which you find using a table or a calculator.

The sample size is n = 17

The sample mean is xbar = 57

The population standard deviation is sigma = 3

The lower bound of the confidence interval is

L = xbar - z*sigma/sqrt(n)

L = 57 - 1.960*3/sqrt(17)

L = 55.5738905247863

L = 55.57

The upper bound is

U = xbar + z*sigma/sqrt(n)

U = 57 + 1.960*3/sqrt(17)

U = 58.4261094752137

U = 58.43

Therefore the confidence interval (L, U) turns into (55.57, 58.43) which is approximate.

7 0
3 years ago
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