All categories

3 years ago

Solve for x. -12 <-3x-15<_36

Mathematics

1 answer:

iren2701 [21]3 years ago

3 0

Answer:

-1 > x and x > 7.

Step-by-step explanation:

-12 < -3x - 15 < -36

What we are looking at here is a comparison with -12 being the smallest value, -3x - 15 being the second smallest value, and 36 being the largest value in the sequence. What you need to do is to make the problem into two separate problems:

-12 < -3x - 15

and

-3x - 15 < -36

Then we solve the equations like so (using PEMDAS):

-12 < -3x - 15

+15 +15

3 < -3x

/-3 /-3

-1 > x (the sign was changed the other way because when you divide by a negative it has to be flipped)

Now the other equation

-3x - 15 < -36

+15 +15

-3x < -21

/-3 /-3

x > 7

Now we have the inequalities of -1 > x and x > 7.

You might be interested in

A plane that carries mail makes a round trip each day from Chicago to New York. It makes 1 intermediate stop on the way to New Y

Zolol [24]

Answer:

Algebra - Question related to graphs?

A plane that carries mail makes a round trip each day from Chicago to New York. It makes 3 intermediate stops on the way to New York and 1 intermediate stop on the way back to Chicago. Suppose you make a graph of the altitude of the plane for one day, with time on the horizontal axis and altitude on the vertical axis. How many times will the graph touch the horizontal axis?

Well, the only time the graph would touch the x-axis (horizontal axis) would be at 0 altitude so, counting the 3 stops on the way to NY then the 1 stop back to Chicago would be four. But if you think about it when the planes are at it's destination it's also at 0 altitude. So you'd add another 3 (Chicago to New York then back to Chicago)...right? Then the graph would touch x-axis approximently 7 times?

Dose that make sense?

1: Yes

Way out.

NY,S1,S2,S3,Ch

Way back

Ch,S4,NY

The Ch is the same therefore total is 7.

a(n)=-6+(n-1)(6)

3: Well, the only time the graph would touch the x-axis (horizontal axis) would be at 0 altitude so, counting the 3 stops on the way to NY then the 1 stop back to Chicago would be four. But if you think about it when the planes are at it's destination it's also at 0 altitude. So you'd add another 3 (Chicago to New York then back to Chicago)...right? Then the graph would touch x-axis approximently 7 times.........

4: A plane that carries mail makes a round trip each day from Chicago to New York. It makes 3 intermediate stops on the way to New York and 1 intermediate stop on the way back to Chicago. Suppose you make a graph of the altitude of the plane for one day, with time on the horizontal axis and altitude on the vertical axis. How many times will the graph touch the horizontal axis?

i guess it would be 7 as the answer because: Well, the only time the graph would touch the x-axis (horizontal axis) would be at 0 altitude so, counting the 3 stops on the way to NY then the 1 stop back to Chicago would be four. But if you think about it when the planes are at it's destination it's also at 0 altitude. So you'd add another 3 (Chicago to New York then back to Chicago)...right? Then the graph would touch x-axis approximently 7 times.........

Step-by-step explanation: Different Brainly's

1: Answer: 7

Step-by-step explanation: The graph that is drawn here shows the altitude as a function of time. When the plane takes off from Chicago, the graph will start from the horizontal axis.

Next, when the plane takes 3 intermediate stops, altitude will touch the horizontal axis 3 times.

Next, when the plane lands in New York the altitude will touch the horizontal axis.

Next, when plane takes off from New York and takes an intermediate stop, altitude will touch horizontal axis.

Lastly the altitude will touch the axis when plane lands back in Chicago.

So, cumulatively the altitude will touch the horizontal axis seven times.

2: I Don't Know

3: Answer:

5 is the right answer

Step-by-step explanation:

The graph will touch the horizontal x each time the altitude is zero.

Tha happens: 1st in Chicago before taking off, 2nd, in the intermediate place before getting to NY, 3rd in NY, 4th in the intermediate place before getting to Ch, and 5th when arrives to Ch.

4: Answer:

Step-by-step explanation:

The graph that is drawn here shows the altitude as a function of time. When the plane takes off from Chicago, the graph will start from the horizontal axis.

Next, when the plane takes 3 intermediate stops, altitude will touch the horizontal axis 3 times.

Next, when the plane lands in New York the altitude will touch the horizontal axis.

Next, when plane takes off from New York and takes an intermediate stop, altitude will touch horizontal axis.

Lastly the altitude will touch the axis when plane lands back in Chicago.

So, cumulatively the altitude will touch the horizontal axis seven times.

5 0

3 years ago

4 is what percent of 550

vladimir2022 [97]

If you want to evaluate what percent of 550 is 4, you can do this in two following steps.
First, you have to write it as a fraction: 4/550.
Second, you have to transform this fraction to percent: (4/550)*100%.

(4/550)*100% = 0.0072727272727273*100% = 0.727%

The correct result is 0.727%.

6 0

3 years ago

Given the pattern rule Tn=n2-1 what are the first 3 terms of the pattern

sergeinik [125]

Answer:

0, 3 , 8

Step-by-step explanation:

substitute n = 1, 2, 3 into the pattern rule

T₁ = 1² - 1 = 1 - 1 = 0

T₂ = 2² - 1 = 4 - 1 = 3

T₃ = 3² - 1 = 9 - 1 = 8

8 0

2 years ago

Simplify the expression 13+|-21-(-4)²|

Readme [11.4K]

$13+|-21-(-4)^2| \\ \\ 13 + |-21-4^2| \\ \\ 13 + |-21-16| \\ \\ 13 + |-37| \\ \\ 13 + 37 \\ \\ 50 \\ \\ Answer: \fbox {50}$

7 0

3 years ago

What initial investment must be made to accumulate $60000 in 17 years if the money is invested in a mutual fund that pays 12% an

mars1129 [50]

$7881.18

Step-by-step explanation:

Let the initial Investment be $P_{0}$ . The Interest is compounded on a monthly basis at 12% annual interest rate. After 17 years, the Investment amounts to $60,000.

As the annual interest rate is 12%, the monthly interest rate is 1%.

Since this is a compound interest problem, the total amount can be modeled as follows: $P(t)=P_{0}(1+\frac{i}{100})^{t}$

Here $i$ is the interest rate, i.e $1$ , and t is the number of time periods, i.e $17\textrm{ years x }12\frac{\textrm{months}}{\textrm{year}}$ = $204\textrm{ months}$

$60,000=P_{0}\textrm{ x }(\frac{101}{100})^{204}$

$P_{0}=7881.18$

∴ Initial Investment = $7881.18

4 0

3 years ago