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3 years ago

Given the following functions, find (f- g)(x). f(x) = 3x - 1 g(x) = 5x + 2

Mathematics

1 answer:

olya-2409 [2.1K]3 years ago

8 0

Answer:

f ( 5 x + 2 ) = 15 x + 5

Step-by-step explanation:

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What is the image of (4, 3) after a dilation by a scale factor of 2 centered at the origin?

emmasim [6.3K]

I believe it’s (8,6) because dilation mean to make it bigger by 2

5 0

3 years ago

The ages of 11 students enrolled in an on-line macroeconomics course are given in the following steam-and-leaf display:

blsea [12.9K]

Answer:

The standard deviation of the age distribution is 6.2899 years.

Step-by-step explanation:

The formula to compute the standard deviation is:

$SD=\sqrt{\frac{1}{n}\sum\limits^{n}_{i=1}{(x_{i}-\bar x)^{2}}}$

The data provided is:

X = {19, 19, 21, 25, 25, 28, 29, 30, 31, 32, 40}

Compute the mean of the data as follows:

$\bar x=\frac{1}{n}\sum\limits^{n}_{i=1}{x_{i}}$

$=\frac{1}{11}\times [19+19+21+...+40]\\\\=\frac{299}{11}\\\\=27.182$

Compute the standard deviation as follows:

$SD=\sqrt{\frac{1}{n}\sum\limits^{n}_{i=1}{(x_{i}-\bar x)^{2}}}$

$=\sqrt{\frac{1}{11-1}\times [(19-27.182)^{2}+(19-27.182)^{2}+...+(40-27.182)^{2}]}}\\\\=\sqrt{\frac{395.6364}{10}}\\\\=6.28996\\\\\approx 6.2899$

Thus, the standard deviation of the age distribution is 6.2899 years.

7 0

3 years ago

There is a decrease in power. It can be concluded that there has also been a change in: A)current or voltage.

Serhud [2]

There is a decrease in power. It can be concluded that there has also been a change in:

A) current or voltage.

5 0

4 years ago

If 1+9+8=1 then 2+8+9=x

Gwar [14]

Assuming this is some kind of modular question, maybe mod 17.

since 1+8+9=1, we can say that 8+9=0
therefore, 2+0=x, so x=2

6 0

3 years ago

Thx in advance for the help

lubasha [3.4K]

Answer: $x\geq 13$

Step-by-step explanation:

Given

The inequality is $2x-7\geq 19$

adding both side 7

$2x-7+7\geq 19+7\\2x\geq 26$

Multiply both sides by $\frac{1}{2}$

$\dfrac{1}{2}\times 2x\geq 26\times \dfrac{1}{2}\\\\x\geq 13$

the shaded region in the figure indicates the solution set.

6 0

3 years ago