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blagie [28]
4 years ago
10

Which polynomial is equivalent to (3z + 1)(z + 1)?????????

Mathematics
1 answer:
Elenna [48]4 years ago
3 0

The polynomial 3z² + 4z + 1 is equivalent to (3z + 1)(z + 1) ⇒ answer B

Step-by-step explanation:

Let us explain how to find the product of two binomials

1. Multiply the 1st term in the 1st bracket by the 1st term in the 2nd

   bracket

2. Multiply the 1st term in the 1st bracket by the 2nd term in the 2nd

   bracket

3. Multiply the 2nd term in the 1st bracket by the 1st term in the 2nd

   bracket

4. Multiply the 2nd term in the 1st bracket by the 2nd term in the 2nd

   bracket

5. Add like terms

∵ (3z + 1)(z + 1)

∵ (3z)(z) = 3z²

∵ (3z)(1) = 3z

∵ (1)(z) = z

∵ (1)(1) = 1

∴ (3z + 1)(z + 1) = 3z² + 3z + z + 1

- Add like terms

∴ 3z² + 4z + 1

The polynomial 3z² + 4z + 1 is equivalent to (3z + 1)(z + 1)

Learn more:

You can learn more about polynomials in brainly.com/question/4142886

#LearnwithBrainly

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ivanzaharov [21]

The number of ways for which she could pick four colours if green must be one of them is; 10 ways.

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It follows from the task that there are 6 colours in total that she could pick from.

Hence, since she needs four colours with green being one of them, it follows that she only has 3 colours to pick from 5.

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2 years ago
A study dealing with health care issues plans to take a sample survey of 1500 Americans to estimate the mean dollar amount that
frutty [35]

Answer:

The population parameter of this study is the population mean.

Step-by-step explanation:

A population parameter is a numerical measure representing a certain characteristic of the population. For example, population mean, population variance, population proportion, and so on.

The population parameter is computed using all the values of the population.

The population parameter can be estimated using the sample statistic. If the value of the population parameter is not known, then a random sample of large size, say <em>n</em> ≥ 30 can be selected from the population and the statistic value can be computed. This statistic value is considered as the point estimate of the parameter. It is also known as the unbiased estimator of the parameter.

In this case the survey involved sampling of 1500 Americans to estimate the mean dollar amount that Americans spent on health care in the past year.

The sample selected is used to compute the sample mean dollar amount that Americans spent on health care.

So, the population parameter of this study is the population mean.

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3 years ago
What is the equation of the tangent line passing through the point (0, 3) of the graph of the function f(x) = x2 − 2x + 3?
Sergeeva-Olga [200]

Answer:

y = -2x + 3

Step-by-step explanation:

The given equation is:

f(x)=x^2-2x+3

First we need to find the slope of the tangent line. This can be done by finding the derivative of the given function.

f'(x)=2x-2

Slope of the tangent will be the value of the derivative at the given point. So the slope of tangent is:

f'(0)=2(0)-2=-2

Now we have slope of the tangent line and a point (0, 3) on the tangent. The point (0,3) is the y-intercept of the tangent line. So we can use slope-intercept form to directly write the equation of the line.

The slope intercept form of an equation is:

y = mx + c

where m is the slope and c is the y-intercept.

Using the values: m = -2 and c = 3, we get:

y = -2x + 3

This equation represents the tangent line

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3 years ago
7x-2(3x-14)=3(3x+4) what is the answer
nignag [31]

Answer: x=2

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

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