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3 years ago

Which property will Sarah use to solve 6x = 42?

Mathematics

1 answer:

Katarina [22]3 years ago

4 0

Answer:

Step-by-step explanation:

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Arithmetic sequences et sn} be an arithmetic sequence that starts with an initial index of 0. The initial term is 3 and the comm

navik [9.2K]

Answer:

(a) The value of $s_z$ is (z+1)(3-z).

(b) The next term in the sequence is -2.

Step-by-step explanation:

(a)

It is given that arithmetic sequence that starts with an initial index of 0.

The initial term is 3 and the common difference is -2.

$a_0=3$

$d=-2$

We need to find the value of $s_z$ .

$s_z=\sum_{n=0}^{n=z}(a+nd)$

where, a is initial term and d is common difference.

$s_z=\sum_{n=0}^{n=z}(3-2n)$

The sum of an arithmetic sequence with initial index 0 is

$s_n=\frac{n+1}{2}[2a+nd]$

where, a is initial term and d is common difference.

Substitute n=z, a=3 and d=-2 in the above formula.

$s_z=\frac{z+1}{2}[2(3)+z(-2)]$

$s_z=\frac{z+1}{2}[2(3-z)]$

$s_z=(z+1)(3-z)$

Therefore the value of $s_z$ is (z+1)(3-z).

(b)

The given arithmetic sequence is

7, 4, 1, ...

We need to find the term in the sequence.

In the given arithmetic sequence the first term is

$a=7$

The common difference of the sequence is

$d=a_2-a_1\Rightarrow 4-7=-3$

The first term is 7 and common difference is -3.

Add common difference in last given term, i.e., 1, to find the next term of the sequence.

$1+(-3)=1-3=-2$

Therefore the next term in the sequence is -2.

3 0

3 years ago

Which rates are unit rates?

lisov135 [29]

C- picture frames per box

6 0

3 years ago

From a group of 8 people, including George and Nina, 3 people are to be selected at random to work on a certain project. What is

cestrela7 [59]

Answer: $\frac{15}{56}$

Step-by-step explanation:

We have to select george but not nina with two other people

No. of ways selecting 2 two people knowing Geroge will be the third one is

$^6C_2$ (beacuse we have to exclude Nina)

And total no of ways of selecting 3 people out of 8 people is $^8C_3$

Therefore the required Probability is $\frac{^6C_{2}}{^8C_{3}}$

= $\frac{15}{56}$

3 0

3 years ago

What is the greatest common factor of 15 and 64

Neko [114]

35.
Hope my answer helps.

3 0

3 years ago

Which expression completes the factored form of this quadratic expression? x2 + 4x – 5

Advocard [28]

Find factors of -5 that, when added together, will give 4

x² + 4x - 5
x 5
x -1

(x + 5)(x -1)

Using the FOIL method (First, Outside, Inside, Last), we can get the question again.

x(x) = x²
x(-1) = -x
5(x) = 5x
5(-1) = -5

x² - x + 5x - 5
x² + 4x - 5

(x + 5) (x - 1) is your answers

however, i believe it is only asking for one. Therefore, because (x - 1) is a choice, (x - 1) should be your answer

hope this helps

5 0

3 years ago