3 years ago

Simplify Algebraic Expression of 14x-4x+21

Mathematics

1 answer:

Zepler [3.9K]3 years ago

5 0

14x - 4x + 21
10x + 21
Hope This Helps!

You might be interested in

Indicate the general rule for the arithmetic sequence with a3 = -12 and a8 = -37

Mandarinka [93]

Answer:

The general rule is $a_n = -2 - 5(n-1)$

Step-by-step explanation:

Arithmetic sequence:

In an arithmetic sequence, the difference between consecutive terms is always the same, and this difference is called common difference.

The general rule of an arithmetic sequence is given by:

$a_{n} = a_1 + (n-1)d$

In which $a_1$ is the first term and d is the common difference.

We can also find the nth term as a function of a term m, using:

$a_n = a_m + (n-m)d$

a3 = -12 and a8 = -37

First we find the common difference. So

$a_n = a_m + (n-m)d$

$a_8 = a_3 + (8-3)d$

$-37 = -12 + 5d$

$5d = -25$

$d = -\frac{25}{5}$

$d = -5$

$a_n = a_1 - 5(n-1)$

Finding the first term:

$a_n = a_1 - 5(n-1)$

Since $a_3 = -12$

$a_n = a_1 - 5(n-1)$

$a_3 = a_1 - 5(3-1)$

$a_1 = a_3 + 10 = -12 + 10 = -2$

So the general rule is:

$a_n = a_1 - 5(n-1)$

$a_n = -2 - 5(n-1)$

6 0

3 years ago

Steven earns extra money babysitting. He charges $31.25 for 5 hours and $50 for 8 hours. Write an equation to represent the rela

hichkok12 [17]

I’m not sure but this seems right

Y=6.25X

4 0

3 years ago

After the tour, Tyler’s mom bought a pretzel and a bottle of water for each family member. The bottles of water cost $1.50 each.

Delicious77 [7]

Each pretzel is 4.5 $

1.50 • 5 = 7.5
7.5 - 30 = 22.5
22.5 / 5 = 4.5

so in conclusion, those are some expensive a** pretzels.

5 0

3 years ago

Read 2 more answers

“x is at most –5 or at least 7.”

uysha [10]

<span>x is at most –5 or at least 7 is written as $x \leq -5 \ or \ x \geq 7$ </span>

7 0

3 years ago

A word problem for 7x +10y =100

aivan3 [116]

Anwser: 100/17

Decimal term: 5.88235294

Mixed number: 5 15/17

4 0

3 years ago