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3 years ago

Solve the inequalities:

1 answer:

3 0

When solving an inequality: • you can add the same quantity to each side • you can subtract the same quantity from each side • you can multiply or divide each side by the same positive quantity If you multiply or divide each side by a negative quantity, the inequality symbol must be reversed. So the solution is x > −1.

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Which if the following summation notations represent this series?

kati45 [8]

Answer:

Step-by-step explanation:

Let's look at the sequence:

$3,8,13,\cdots$

The sequence has a common difference. We say it has a common difference because 8-3 has the same value as 13-8.

The common difference is what these differences are equal which is 5.

The sequence is therefore linear or arithmetic (same thing).

So it has form $y=mx+b$ where the slope/common difference is 5.

$y=5x+b$

We need to find the $y-$ intercept $b$ .

The list of points is related to the above sequence:

$(x,y)$

$(1,3)$

$(2,8)$

$(3,13)$

I only need one of these points to find $b$ .

Let's use the first one since it has smallest numbers and I don't wish to use the calculator unless I really have to.

$y=5x+b$ with $(x,y)=(1,3)$ :

$3=5(1)+b$

$3=5+b$

Subtract 5 on both sides:

$3-5=b$

$-2=b$

So the equation for the set of points is:

$y=5x-2$

Now they are using $i$ instead of x[/tex]:

$a_i=5i-2$

Since all summations begin at $i=1$ , then the choices are done to either choice C and choice E.

I need to find how many terms are in the given series. The last number is 33. So what term number is associated with the value 33.

$a_i=5i-2$

$33=5i-2$

Add 2 on both sides:

$35=5i$

Divide both sides by 5:

$\frac{35}{5}=i$

$7=i$

So there are 7 terms and the 7th term is 33.

So the answer is choice E.

5 0

4 years ago

What conclusion can be made based on this division problem?

enyata [817]

It's b)

you can test it by multiplying 6 by 4

$6 \times 4 = 24$

3 0

3 years ago

Read 2 more answers

At the movie theater the prince on 1 adult ticket and 4 child tickets is $44 the price of 5 adults tickets and 2 child tickets i

nydimaria [60]

The cost of one adult ticket is $12 and cost of one child ticket is $8.

Step-by-step explanation:

Let,

Cost of one adult ticket = x

Cost of one child ticket = y

According to given statement;

x+4y=44 Eqn 1

5x+2y=76 Eqn 2

Multiplying Eqn 1 by 5

$5(x+4y=44)\\5x+20y=220\ \ \ Eqn\ 3$

Subtracting Eqn 2 from Eqn 3

$(5x+20y)-(5x+2y)=220-76\\5x+20y-5x-2y=144\\18y=144$

Dividing both sides by 18

$\frac{18y}{18}=\frac{144}{18}\\y=8$

Putting y=8 in Eqn 1

$x+4(8)=44\\x+32=44\\x=44-32\\x=12$

The cost of one adult ticket is $12 and cost of one child ticket is $8.

Keywords: linear equation, elimination method

Learn more about elimination method at:

#LearnwithBrainly

7 0

3 years ago

CAN SOMEONE PLEASE HELP ME PLEASE help

strojnjashka [21]

Answer:

I got uuuuu

Step-by-step explanation:

Here you go

11x-2=75 right and its an corresponding sooooo they equal each other so the other one is 75 also if u want a my math lmk

3 0

3 years ago

What is the opposite of a number called? I forgot. Like -6 is the ______ of 6.

JulijaS [17]

The opposite of a number is called its inverse.

6 0

3 years ago