All categories

2 years ago

Given the function f(x) = –5|x + 1| + 3, for what values of x is f(x) = –12?

Mathematics

1 answer:

kondaur [170]2 years ago

8 0

Answer:

x = 2, -4

Step-by-step explanation:

To find the answer to this question, we will have to find the values of x where:

-5|x + 1| + 3 = -12

We can solve this equation for x to find the values of x that satisfy this equation.

-5|x + 1| + 3 = -12

Subtract 3 from both sides.

-5|x + 1| = -15

Divide both sides by -5.

|x + 1| = 3

Now here, the equation will split off into two different equations. These two are:

x + 1 = 3

x + 1 = -3

Lets solve the first one first.

x + 1 = 3

Subtract 1 from both sides.

x = 2

Now we solve the second one.

x + 1 = -3

Subtract 1 from both sides.

x = -4

So now we have the answers x = 2 and x = -4.

So the values of x are x = 2, -4

I hope this helps.

You might be interested in

Simplify.

vichka [17]

Answer

your answer is not shown but the correct answer based on the top is going to be −

7.6x + 6.393

please check to ensure that you wrote the problem correctly as well as your answers.

Step-by-step explanation:

6 0

2 years ago

Henry counted 350 lockers in his school. Hayley counted 403 lockers in her school. How does the 3 in 350 compare to the 3 in 403

viva [34]

The 3 in 350 is in the hundred place and in 403 the 3 is in the ones place

3 0

2 years ago

Read 2 more answers

2.8×10 to the -3 power minus 0.00065

Bas_tet [7]

Answer:

the answer is 3.37723077E13

Step-by-step explanation:

4 0

3 years ago

a taxi ride costs 40 dollars for the first 500 meters and each additional 300 meters (or a fraction thereof) adds $3.50 to the f

Colt1911 [192]

Answer:

$ 71.5

Step-by-step explanation:

firstly kilometer to meters

1 km = 1000 m

therefore 3 km = 3000m

for the first 500 = $40

hence deduct the 500 from 3000m

3000 - 500 = 2500

now find out how many 300m go into 2500

2500 / 300 = 8.33

which is rounded up to 9

therefore the total amount is :

40 + 9 * 3.5

= $71.5

5 0

2 years ago

The nth term of a sequence is 3n²-1

Anarel [89]

Answer: The number is 26.

Step-by-step explanation:

We know that:

The nth term of a sequence is 3n²-1

The nth term of a different sequence is 30–n²

We want to find a number that belongs to both sequences (it is not necessarily for the same value of n) then we can use n in one term (first one), and m in the other (second one), such that n and m must be integer numbers.

we get:

3n²- 1 = 30–m²

Notice that as n increases, the terms of the first sequence also increase.

And as n increases, the terms of the second sequence decrease.

One way to solve this, is to give different values to m (m = 1, m = 2, etc) and see if we can find an integer value for n.

if m = 1, then:

3n²- 1 = 30–1²

3n²- 1 = 29

3n² = 30

n² = 30/3 = 10

n² = 10

There is no integer n such that n² = 10

now let's try with m = 2, then:

3n²- 1 = 30–2² = 30 - 4

3n²- 1 = 26

3n² = 26 + 1 = 27

n² = 27/3 = 9

n² = 9

n = √9 = 3

So here we have m = 2, and n = 3, both integers as we wanted, so we just found the term that belongs to both sequences.

the number is:

3*(3)² - 1 = 26

30 - 2² = 26

The number that belongs to both sequences is 26.

6 0

2 years ago