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3 years ago

Simplify (3x2 - 2) + (2x2 - 6x + 3). (1 point)

Mathematics

1 answer:

Oxana [17]3 years ago

6 0

Answer:

A) 5x² - 6x + 1

Step-by-step explanation:

In this question, you would have to simplify the expression.

Solve:

(3x² - 2) + (2x² - 6x + 3)

Combine like terms.

3x² - 2 + 2x² - 6x + 3)

5x² - 2 - 6x + 3

5x² - 6x + 1

Since there's no more like terms, we have completely simplified the expression.

Therefore, your answer would be A) 5x² - 6x + 1

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What are the coordinates of the image of Q for a dilation with center (0, 0) and scale factor 1/2?

Amanda [17]

The answer would be D. (2,2)
Since the scale factor is 1/2, all you have to do is multiply 1/2 by each of x-coordinate and y-coordinate of Q.
Multiplying by 1/2 is the same as dividing by 2, so you divide the x and y coordinates of Q to get the dilation image of Q as (2,2).

8 0

4 years ago

a delivery company charges an extra fee for a package that weighs more than 100 pounds write an inequality that shows the weight

Alona [7]

Answer:

$w\leq 100\ pounds$

Step-by-step explanation:

Let

w------> the weight in pounds

we know that

A delivery company charges an extra fee for a package that weighs more than 100 pounds

For

$w> 100\ pounds$ -----> the company charges an extra fee

therefore

For

$w\leq 100\ pounds$ ----> the company not charge an extra fee

8 0

4 years ago

PLEASE HELP!!

inn [45]

You can use the Pythagorean Theorem to find the length of the third side AB (Identified as "x" in the figure attached in the problem), which says that in a right angled triangle, the square of the hypotenuse is equal to the sum of the squares of the legs:
a² = b²+c²
As we can see the figure, the triangle does not have an angle of 90°, but it can be divided into two equal parts, leaving two triangles with a right angle. We already have the values of the hypotenuse and a leg in triangle "A" , so we can find the value of the other leg:
b = √(a²-c²) b = √(10²-4²) b = 9.16
With these values, we can find the hypotenuse in the triangle "B": x = √b²+c² x = √(9.16)²+(4)² x = 10

4 0

3 years ago

True or false? Rates can be adjusted for different time periods. If you know how many parts can be made in an hour, then you can

julsineya [31]

Answer:

True

Step-by-step explanation:

The whole point of units conversion is to take a value expressed in one set of units (parts per hour) and translate it to a different set of units (parts per week). The rate does not have to involve time.

The statement is TRUE.

3 0

3 years ago

The variance can never bea.zerob.larger than the standard deviationc.negatived.smaller than the standard deviation

MrRa [10]

Answer:

c.negative

True, by definition since the variance take in count the differences around the mean squared, then we can't have a negative value for a sum of square values.

Step-by-step explanation:

We need to remember that the variance is a measure of dispersion for a dataset respect to a measure of central tendency called the mean. The mean is defined as:

$\bar x = \frac{\sum_{i=1}^n X_i}{n}$

And the population mean is given by:

$\mu= \frac{\sum_{i=1}^n X_i}{N}$

The population variance is defined by:

$\sigma^2 = \frac{\sum_{i=1}^n (X_i -\mu)^2}{N}$

And the sample variance is defined as:

$s^2= \frac{\sum_{i=1}^n (X_i -\bar x)}{n-1}$

Now if we analyze the options we have this:

a.zero

False, if all the values are the same then the mean would be the same to the values and the difference between each value and the mean would 0 and indeed the variance would be 0.

b.larger than the standard deviation

False, if the population standard deviation is $\sigma=2$ then the variance would be $\sigma^2 = 4$ and as we can see is higher than the standard deviation

c.negative

True, by definition since the variance take in count the differences around the mean squared, then we can't have a negative value for a sum of square values.

d.smaller than the standard deviation

False, if the population standard deviation is $\sigma=0.1$ then the variance would be $\sigma^2 = 0.01$ and as we can see is lower than the standard deviation

7 0

3 years ago