Ask question

Ask question

All categories

3 years ago

14

Explain how to simplify the expression （-8）+（-3）+（-4）（7）/14+9（-2）. Show the updated expression after each step you take.

1 answer:

Sliva [168]3 years ago

7 0

Follow the order of operations. Multiplication and division being Equal to each other you’ll need to go from left to right just like you are reading a book.

(-8)+(-3)+ (-28) / 14+9 (-2)

(-8)+(-3)+ (-2)+9 (-2)

(-8)+(-3)+(-2)+(-18)

Then once all multiplication and division is completed you can move on to addition and subtraction. Same as before left to right.

-11+ (-2)+(-18)

-13+ (-18)

-31 is the answer

You might be interested in

Someeee one?????????????????

Ad libitum [116K]

Answer:

Option B) $a_{n} = 2\cdot 4^{n-1}$

Step-by-step explanation:

The given geometric sequence is

2, 8, 32, 128,....

The general form of a geometric sequence is given by

$a_{n} = a_{1}\cdot r^{n-1}$

Where n is the nth term that we want to find out.

a₁ is the first term in the geometric sequence that is 2

r is the common ratio and can found by simply dividing any two consecutive numbers in the sequence,

$r=\frac{8}{2} = 4$

You can try other consecutive numbers too, you will get the same common ratio

$r=\frac{32}{8} = 4$

$r=\frac{128}{32} = 4$

So the common ratio is 4 in this case.

Substitute the value of a₁ and r into the above general equation

$a_{n} = 2\cdot 4^{n-1}$

This is the general form of the given geometric sequence.

Therefore, the correct option is B

Note: Don't multiply the first term and common ratio otherwise you wont get correct results.

Verification:

$a_{n} = 2\cdot 4^{n-1}$

Lets find out the 2nd term

Substitute n = 2

$a_{2} = 2\cdot 4^{2-1} = 2\cdot 4^{1} = 2\cdot 4 = 8$

Lets find out the 3rd term

Substitute n = 3

$a_{3} = 2\cdot 4^{3-1} = 2\cdot 4^{2} = 2\cdot 16 = 32$

Lets find out the 4th term

Substitute n = 4

$a_{4} = 2\cdot 4^{4-1} = 2\cdot 4^{3} = 2\cdot 64 = 128$

Lets find out the 5th term

Substitute n = 5

$a_{5} = 2\cdot 4^{5-1} = 2\cdot 4^{4} = 2\cdot 256 = 512$

Hence, we are getting correct results!

6 0

3 years ago

Please answer this question correctly :)

Vlada [557]

The answer for this problem is 70

3 0

2 years ago

Determining When a Function is increasing or Decreasing

Juliette [100K]

Answer:

B

Step-by-step explanation:

As x tends to infinity and - infinity, the function will tend to +infinity for both

7 0

2 years ago

Which expression is equivalent to 3i(9i +15)?<br> - 45 +9i<br> -27 + 452<br> 27 +452<br> 2722 + 452

vaieri [72.5K]

Answer: B. -27+452i

Step-by-step explanation: Simplify the real and imaginary parts of the expression.

Hope this helps you out.

3 0

2 years ago

The line passes through point (3 - 4) and (-2 2)

Charra [1.4K]

I’m not really sure what you mean by the line passing through but the slope would be m= -6/5

5 0

2 years ago

Read 2 more answers