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2 years ago

How do I solve (2-3*2-3)-4

Mathematics

2 answers:

Anestetic [448]2 years ago

8 0

Do 2-3 times 2-3 then -4

kondor19780726 [428]2 years ago

3 0

According to PEMDAS, parenthesis goes first. Before addition, multiplication is represented in the M of PEMDAS. So you multiply 3 and 2 inside of the parenthesis. That equals to 6. (2-6-3)-4 is what is left. Then, we still have subtraction to be done in the parenthesis. 2 minus 6 is -4, minus 3 is -7. You’re left with -7-4. This equals to -11. Your answer is -11.

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2 years ago

What is the equation for g, which is f(x) = 2x2 + 3x − 1 reflected across the y-axis? Group of answer choices g(x) = −2x2 − 3x −

Sergio [31]

Answer:

$g(x) = 2x^2 - 3x - 1$

Step-by-step explanation:

Given

$f(x) = 2x^2 + 3x - 1$

Required

Determine g(x), if f(x) is reflected across the y axis

When a function (x,y) is reflected across the y axis, the new function becomes (−x,y).

In other words,

$g(x) = f(-x)$

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$f(-x) = 2(-x)^2 + 3(-x) - 1$

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Substitute g(x) for f(-x)

$g(x) = 2x^2 - 3x - 1$

Hence;

$g(x) = 2x^2 - 3x - 1$

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2 years ago

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Which is the equation of a line that has a slope of 2 and contains the point (0,5)

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$\bf (\stackrel{x_1}{0}~,~\stackrel{y_1}{5})~\hspace{10em} slope = m\implies 2 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-5=2(x-0) \\\\\\ y-5=2x\implies y=2x+5$

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2 years ago

What is Permutations and Combinations?

marissa [1.9K]

Answer:

See below

Step-by-step explanation:

Permutation is to select an object then arrange it and it cares about the orders while Combination is about only selecting an object without caring the orders.

Permutation can be expressed in math as:

$\displaystyle{_n P _r = \dfrac{n!}{(n-r)!} \ \ \ (n \geq r) }$

where n is a number of total object and r is a number of selected object to arrange. Hence. n cannot be less than r.

Now let's see an example of permutation, suppose we have letter A, B and C. I'd like to know how many ways these words can be arranged:

Since there are 3 letters total and 3 selected letters to arrange then:

$\displaystyle{_3 P _3 = \dfrac{3!}{(3-3)!}}\\\\\displaystyle{_3 P _3 = \dfrac{3 \times 2 \times 1}{0!}}\\\\\displaystyle{_3 P _3 = \dfrac{6}{1}}\\\\\displaystyle{_3 P _3 = 6}$

Therefore, there are 6 ways to arrange the letters - we can also demonstrate visually:

ABC - 1

ACB - 2

BAC - 3

BCA - 4

CAB - 5

CBA - 6

Notice that if you do visually, you'll get the same answer as the calculation of permutation!

----

Combination can be expressed mathematically as:

$\displaystyle{_n C _r = \dfrac{n!}{(n-r)!r!} = \dfrac{_n P _r}{r!} \ \ \ (n \geq r) }$

The difference between permutation and combination is that you only find how many ways you can select object in combination. Therefore, no arrange and doesn't care about order, just ways to select.

Suppose we have same 3 letters: A, B and C. I want to find how many ways I can select these 3 letters:

Since there are 3 letters total and 3 selected letters:

$\displaystyle{_3 C _3 = \dfrac{3!}{(3-3)!3!}}\\\\\displaystyle{_3 C _3 = \dfrac{3!}{0!3!}}\\\\\displaystyle{_3 C _3 = \dfrac{3!}{3!}}\\\\\displaystyle{_3 C _3 = 1}$

Hence, there is only one way to select 3 letters. This makes sense because if you have 3 letters then you can only select 3 letters only one way.

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1 year ago