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3 years ago

Please hurry with this question

Mathematics

2 answers:

Nostrana [21]3 years ago

7 0

Answer:

Step-by-step explanation:

olya-2409 [2.1K]3 years ago

3 0

Answer:

The answer would be Choice B.

Step-by-step explanation:

You are multiplying every number in the brackets by -5.

-5 x 8 = -40

-5 x 1 = -5

-5 x -2 = 10

-5 x 6 = -30

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How does the division rule for exponents help in understanding why anything to the zero power is 1?

Nookie1986 [14]

In the division rule you subtract the exponents when dividing numbers with the same base. One rule for exponents is that exponents add when you have the same base. This works for any number x that you want to plug in except for x = 0,because 0/0 is indeterminate (it is like dividing zero by zero). No matter what number we use when it is raised to the zero power it will always be 1.

5 0

3 years ago

A curious patterns occurs in a group of people who all shake hands with one another. It turns out that you can predict the numbe

ycow [4]

Missing part of the question

Determine the number of handshakes, i, that will occur for each number of people, n, in a particular room. (people)

Answer:

$S_n = \frac{n}{2}(n - 1)$

Step-by-step explanation:

Given

For 5 people

$\begin{array}{cc}{People} & {Handshakes} & {5} & {4} & {4} & {3} & {3} & {2} & {2} & {1} & {1} & {0} &{Total} & {10} \ \end{array}$

Using the given instance of 5 people, the number of handshakes can be represented as:

$(n - 1) + (n - 2) + (n - 3) + ........ + 3 + 2 + 1 + 0$

The above sequence is an arithmetic sequence and the total number of handshakes is the sum of n terms of the sequence.

$S_n = \frac{n}{2}{(T_1 + T_n})$

Where

$T_1 = n - 1$ --- The first term

$T_n = 0$ --- The last term

So:

$S_n = \frac{n}{2}(n - 1 + 0)$

$S_n = \frac{n}{2}(n - 1)$

7 0

2 years ago

Find the constant $a$ such that\[(x^2 - 3x + 4)(2x^2 +ax + 7) = 2x^4 -11x^3 +30x^2 -41x +28.\]

Colt1911 [192]

The value of constant a is -5

Further explanation:

We will use the comparison of co-efficient method for finding the value of a

So,

Given

$(x^2 - 3x + 4)(2x^2 +ax + 7)\\= x^2((2x^2 +ax + 7)-3x((2x^2 +ax + 7)+4(2x^2 +ax + 7)\\= 2x^4+ax^3+7x^2-6x^3-3ax^2-21x+8x^2+4ax+28\\Combining\ alike\ terms\\=2x^4+ax^3-6x^3+7x^2-3ax^2+8x^2-21x+4ax+28\\= 2x^4 +(a-6)x^3+(15-3a)x^2-(21-4a)x+28\\$

As it is given that

(x^2 - 3x + 4)(2x^2 +ax + 7) = 2x^4 -11x^3 +30x^2 -41x +28

In this case, co-efficient of variables will be equal, so we can compare the coefficients of x^3, x^2 or x

Comparing coefficient of x^3

$a-6 = -11\\a = -11+6\\a = -5$

So the value of constant a is -5

Keywords: Polynomials, factorization

Learn more about factorization at:

#LearnwithBrainly

4 0

3 years ago

Addition prop of equality

Eva8 [605]

1 multiplication prop
2simplifying
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4 0

3 years ago

Traingle BUG has measurements as shown below.

Harrizon [31]

Answer:

48*52=2496/2=1248

Step-by-step explanation:

Triangle syprine=b*h/2

16*14=224/2=112

answer b is the most similar:48*52=2496/2=1248

48 is 3x>16

4 0

3 years ago