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3 years ago

Does (5, 6) satisfy the inequality 2x - 3y> 6?

Mathematics

2 answers:

butalik [34]3 years ago

5 0

Answer:

yes

Step-by-step explanation:

WARRIOR [948]3 years ago

3 0

Answer:

Nope, it does not satisfy the equation.

Step-by-step explanation:

2x - 3y > 6

2(5) - 3(6) > 6

10 - 18 > 6

-8 > 6

Hope this helps and I hope u have an Amazing day!

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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

4 years ago

How many times can 50 go into 35

mixas84 [53]

1.428571429 because you do 50 ÷ 35 and that's your answer hope it helped :)

4 0

3 years ago

Whats the perimeter of a squre with a side measurement of 6 in.?

wariber [46]

Answer:

The Perimeter is 24 inches

Step-by-step explanation:

Perimeter is all the sides of something added up. All sides on a square are equal so each side is 6 inches

6+6+6+6=24

4 0

3 years ago

a ferry is traveling at a constant speed back to the dock, as shown in the graph. which function represents the relationship bet

horsena [70]

Answer: y = -35x + 105

Step-by-step explanation:

The graph represents a function that is between hours and miles and to determine the equation which belong to this graph, we need to find the slope first by using two points from the graph which are (0, 105) and (3, 0).

The definition of slope is

m = (y2 - y1)/(x2 - x1)

= (0-105)/3-0

= -105/3

= -35

The slope is -35 and remember that the slope is the coefficient of the variable x. Therefore, the answer is:

y = -35x + 105

6 0

3 years ago

Use the following trinomial to answer the questions. x^2-6x-27 When going through the process of determining the factors, the tw

Sauron [17]

Answer:

The factors are 3 and -9

Step-by-step explanation:

The given trinomial is $x^2-6x-27$ .

We need to find two factors. We know that,

3(9) = 27

So,

$x^2-6x-27$ can be written as :

$x^2+3x-9x-27$ as two factors add up to get -6 and multiply to get -27.

Hence, the factors are 3 and -9.

5 0

3 years ago