All categories

3 years ago

How many solutions are there to the equation below? |x|= 12

Mathematics

1 answer:

balandron [24]3 years ago

7 0

Answer:

Step-by-step explanation:

12 and -12

You might be interested in

Adrian just got hired for a new job and will make $66,000 in his first year. Adrian was told that he can expect to get raises of

Ann [662]

Answer:

Adrian would make $196000 in his 26th year working.

Step-by-step explanation:

Adrian salary in first year = $66,000

As Adrian is expected to get raises of $5,000 every year going forward.

Here is the sequence of Adrian's raises:

5,000, 10000, 15000, 20000, 25000 .....

As the common difference between consecutive terms is constant.

d = 10000 - 5,000 = 5,000 ⇒ d = 15000 - 10000 = 5,000

So, Adrian's raises is in Arithmetic sequence.

a₁ = 5,000

n = 26

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

Put n = 26 to get the total amount of salary raises in Adrian's 26th year.

$\ a_{26}=5000+(26-1)5000$

$\ a_{26}=5000+(25)5000$

$\ a_{26}=5000+125000$

$\ a_{26}=130000$

Total raises amount after 26th year = $130000

Adding total raises after 26th year to the initial salary would let us figure out the total salary Adrian would make in his 26th year.

So,

Total Salary after 26th year = initial salary + total raises of 26 years

= 66000 + 130000

= $196000

So, Adrian would make $196000 in his 26th year working.

Keywords: arithmetic sequence, salary, raises, common difference

Learn more about word problems regarding salary from brainly.com/question/4114612

#learnwithBrainly

6 0

3 years ago

Midsegment of triangle: Find the distance across the lake in

RUDIKE [14]

Answer:

13 miles

Step-by-step explanation:

The mid- segment is one half the size of the third side of the triangle, thus

distance across lake = 2 × 6.5 = 13 miles

8 0

4 years ago

WHAT IS 5+5+5+5?WHAT IS 5+5+5+5?

vfiekz [6]

Answer:

Step-by-step explanation:

20?

5 0

3 years ago

Read 2 more answers

For all values of x, f(x) = x^2 + 1 and g(x) = x-5

Elena-2011 [213]

Answer:

a) f g(x) = x³ - 5 x² + x -5

b) g(f(x) = x³ - 5 x² + x -5

Step-by-step explanation:

Step(i):-

Given that f(x) = x² + 1 and g(x) = x-5

f(g(x)) = f(x-5) = (x-5)²+1 = x² - 10x +25 +1 = x² - 10 x +26

Step(ii):-

a) f g(x) = f(x) g(x) = (x² + 1 )(x-5) = x³ - 5 x² + x -5

b) g(f(x) = g(x) f(x) = (x-5) (x²+1) = x³ - 5 x² + x -5

6 0

3 years ago

Throughout Lewis Carroll's book, Alice's Adventures in Wonderland, Alice's size changes. Her normal height is about 50 inches ta

alexandr402 [8]

Answer:

The answer is 75 inches.

Step-by-step explanation:

If Alice is 10 inches, she is 2/3 as tall as the door. At her regular height, to be 2/3 as tall as the door the door would have to be 75 inches high.

6 0

3 years ago