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quester [9]
3 years ago
15

Which expression is equivalent to 2x + x^2 + 3x + 5x^2 - 10x?

Mathematics
2 answers:
Nonamiya [84]3 years ago
8 0
<span>2x + x</span>²<span> + 3x + 5x</span>²<span> - 10x      (combine like terms)
6x</span>² + 5x -10x
6x² - 5x
which is the same as
-5x +6x²
Your answer is C
diamong [38]3 years ago
3 0
Answers is C
X^2 + 5x^2 + 2x+3x- 10x
6x^2 + 5x - 10x
-5x + 6x^2
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Answer:

Step-by-step explanation:

Independent Variable (IV):  Special college preparation program

How will you describe the IV: Independent variable or known as manipulated variable is a variable where the researcher purposely manipulate the variable to see how it affect the results of the experiment.

Dependent variables (DV): Math placement scores of college applicants

How will you measure the DV: DV can be measured by recording the math placement scores of each applicants who have or have not taken the special college preparation program.

Explanation: In this case, the researcher wants to see how taking special college preparation program (IV) can affect the math placement scores of the applicants (DV). Explanation: In this case, the researcher wants to see how taking special college preparation program (IV) can affect the math placement scores of the applicants (DV).

Hypothesis:

If the applicants take the special college preparation program, the applicants will have higher math placement scores compared to the one who have do not take the program.

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For the function below, state the x-coordinate of the x-intercept that is located to the fight of the origin.
OLga [1]

Answer:

x = 3

Step-by-step explanation:

It should NOT be "fight of the origin", rather "right of the origin".

Now let's move on to solve the question...

The x-intercept is found by setting the function equal to 0. Thus:

0 = x^3 - 9x

<em>Let's solve this using algebra:</em>

<em>0=x^3-9x\\0=x(x^2-9)\\0=x(x-3)(x+3)</em>

<em />

<em>Hence, x = -3 and x = 3</em>

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The coordinate that is to the right of the origin is the positive one, so x = 3 is the x-intercept we are looking for.

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3 years ago
The weight of laboratory grasshoppers follows a Normal distribution, with a mean of 90 grams and a standard deviation of 2 grams
JulsSmile [24]

Answer:

95.44% of the grasshoppers weigh between 86 grams and 94 grams.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 90 grams and a standard deviation of 2 grams.

This means that \mu = 90, \sigma = 2

What percentage of the grasshoppers weigh between 86 grams and 94 grams?

The proportion is the p-value of Z when X = 94 subtracted by the p-value of Z when X = 86. So

X = 94

Z = \frac{X - \mu}{\sigma}

Z = \frac{94 - 90}{2}

Z = 2

Z = 2 has a p-value of 0.9772.

X = 86

Z = \frac{X - \mu}{\sigma}

Z = \frac{86 - 90}{2}

Z = -2

Z = -2 has a p-value of 0.0228.

0.9772 - 0.0228 = 0.9544

0.9544*100% = 95.44%

95.44% of the grasshoppers weigh between 86 grams and 94 grams.

5 0
3 years ago
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