Use additive inverses and their properties to find the equivalent expressions.

Pls help. Pls quick......

Genrish500 [490]

Answer:

1) 3

2) 1

3) -5

Step-by-step explanation:

The coefficients are the numbers that come before each variable.

The 3 in the first term is in front of the x^2; so the coefficient is 3.

There is no visible number in front of the y in the second term, but there is a y, so we can assume there's at least 1; so the coefficient is 1.

The term in front of x for the third term is -5, so the coefficient is -5.

5 0

2 years ago

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If my friend gives me $1 to buy candy how much would I pay her back?

ANTONII [103]

If your friend gave you $1 you would most likely only need to pay her back $1 unless you're talking about interest.

7 0

3 years ago

A data set of 27 different numbers has a mean of 33 and a median of 33. A new data set is

Svetllana [295]

Answer:

Option D.

Step-by-step explanation:

Suppose that we have a set of N values:

{x₁, x₂, ..., xₙ}

The median is the value in the middle, and the mean is calculated as:

$M = \frac{(x_1 + x_2 + x_3 ... + x_n)}{N}$

Because here we have "the median" then we will assume that N is odd, and there is only one median, the value "k" (if N was even, the median would be the mean of the two middle values, that case is really similar to the case where N is odd, so solving only one of the cases is enough)

Now we add 7 to all the values greater than the median

We subtract 7 to all values smaller than the median.

Then the median remains unchanged (because we did not add nor subtract anything to the median).

The new mean will be:

$M' = \frac{(x_1 - 7) + (x_2 - 7) + ... + (x_{k}) + ... + (x_n + 7)}{N} = \frac{(x_1 + x_2 + ... + x_n) + (-7)*(n/2 - 0.5) + 7*(n/2 - 0.5)}{N} = \frac{(x_1 + x_2 + ... + x_n)}{N} = M$

So the mean does not change.

Because the mean is computed as the sum of the numbers divided by N, and the mean does not change, and N does not change, then the sum of the numbers does not change.

Finally, the standard deviation is computed as:

$SD = \sqrt{\frac{(x_1 - M)^2 + ... + (xn - M)^2}{N} }$

Because M does not change, if we add or subtract numbers to some of the values, the standard deviation will change (Because all the terms are squared, so the added and subtracted sevens don't cancel like in the previous cases)

Then the only value that does not have the same value in both the original and new data sets is the standard deviation.

6 0

3 years ago

Point R is located at (1, 2) on a coordinate grid. Point S is located at (4, 5) on the same

Aleksandr-060686 [28]

Answer:

4.2 units

most likely answer choice B

Step-by-step explanation:

(1, 2) and (4, 5)

To find the distance between two points, we use the distance formula:

$d = \sqrt{(x_{2}-x_1)^2 + (y_2-y_1)^2 }$

Let's plug in what we know.

$d = \sqrt{(4 - 1)^2 + (5 - 2)^2 }$

Evaluate the parentheses.

$d = \sqrt{(3)^2 + (3)^2 }$

Evaluate the exponents.

$d = \sqrt{(9) + (9) }$

Add.

$d=\sqrt{18}$

Evaluate the radical.

d = 4.24

Round to the nearest tenth.

d = 4.2 units

*note: The answer choice is 4.6. I'm not sure if that is a typo on someone's end, but the distance between these two points is exactly 4.24264068712 units.

Hope this helps!

6 0

3 years ago

The volume of a cube is 8073 cm3. Work out an estimate for its surface area

Gemiola [76]

Answer:

2414.42 cm^2

Step-by-step explanation:

volume = base x height

and we know that a cube will always have the same length for any side so volume is basically length^3

volume = length^3

8073 = x^3

x = $\sqrt[3]{8073}$

use a calculator and you get that x = 20.06 cm

Surface area(SA) = 6a^2 (a is area)

a = x^2

so SA = 6(20.06)^2 = 2414.4216 ≈ 2414.42 cm^2

6 0

3 years ago

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