1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Kisachek [45]
3 years ago
6

–2.5 + (–3.5) Which number line shows the sum? (and i know its not -6)

Mathematics
2 answers:
posledela3 years ago
6 0

Answer:

-6

Step-by-step explanation:

1. Treat the problem like a subtraction problem because -2.5 + (-3.5) can be rewritten as -2.5-3.5

2. When adding or subtracting negative numbers, keep these rules in mind:

Same signs add and keep.

Different signs subtract.

Keep the sign of the higher number.

-2.5 -3.5 have the same sign, so add them up and keep the sign.

And you do get -6.

Leto [7]3 years ago
4 0

Answer:

6

Step-by-step explanation:

You might be interested in
Two cars leave the same parking lot, with one heading south and the other heading east. After several minutes, the southbound ca
ELEN [110]

Answer:

25

Step-by-step explanation:

6 0
3 years ago
3,6,11,18,27,38
MakcuM [25]

Answer:  The pattern is x^2+2

where x is the term number

Example: the 5th term is 27 because x = 5 leads to x^2+2 = 5^2+2 = 27

=================================================

Explanation:

  • The jump from 3 to 6 is +3
  • The jump from 6 to 11 is +5
  • The jump from 11 to 18 is +7
  • The jump from 18 to 27 is +9
  • The jump from 27 to 38 is +11

The pattern of jumps is: 3, 5, 7, 9, 11

Those increments are going up by 2 each time.

Since we have a consistent pattern of increments, this means that the sequence follows a quadratic model.

Quadratics are stuff like x^2+7x+10 or 3x^2-7. The leading term has an exponent of 2.

-----------

If x is the term number and y is the term itself, then we have these points

(1,3)

(2,6)

(3,11)

(4,18)

(5,27)

(6,38)

The x coordinates increase by 1 each time. The y coordinates are the terms given by your teacher.

Pick exactly 3 of those points. I'll pick the first 3.

Why 3? Because we'll have 3 unknowns to solve for, in which we'll need 3 equations.

  • Plug (x,y) = (1,3) into y = ax^2+bx+c, then simplify. You should get the equation a+b+c = 3
  • Repeat for (x,y) = (2,6) and you should get 4a+2b+c = 6
  • Repeat for (x,y) = (3,11) and you should get 9a+3b+c = 11

-----------

We have this system of equations

\begin{cases}a+b+c = 3\\ 4a+2b+c = 6\\9a+3b+c = 11\end{cases}

There are a number of methods to solve this system. Substitution is what I'll go for.

Solve the first equation for c

a+b+c = 3

c = 3-a-b

Then use substitution.

4a+2b+c = 6

4a+2b+(3-a-b) = 6

3a+b+3 = 6

3a+b = 6-3

3a+b = 3

and

9a+3b+c = 11

9a+3b+(3-a-b) = 11

8a+2b + 3 = 11

8a+2b = 11-3

8a+2b = 8

We now have this reduced system of equations.

\begin{cases}3a+b = 3\\8a+2b = 8\end{cases}

I'll skip the steps as this solution is getting very lengthy as it is. The basic idea is to use substitution again. You should find that a = 1 and b = 0 form the solution set here.

Use those values to find c

c = 3-a-b

c = 3-1-0

c = 2

-----------

To summarize the previous section, we have these solutions:

a = 1, b = 0, c = 2

Therefore the equation y = ax^2+bx+c becomes y = 1x^2+0x+2 aka y = x^2+2. This lets us find any term.

Let's test it out.

  • If x = 1, then y = x^2+2 = 1^2+2 = 3
  • If x = 2, then y = x^2+2 = 2^2+2 = 6
  • If x = 3, then y = x^2+2 = 3^2+2 = 11

And so on. I'll let you test the other x values (4 through 6).

Another way to confirm the answer is to subtract 2 from each item in the original set {3,6,11,18,27,38} and you'll end up with {1,4,9,16,25,36}. This is the list of perfect squares. It shows that term x is simply x^2 but add on 2 so things are adjusted accordingly.

Side note: you can use a tool like GeoGebra or WolframAlpha to quickly solve the system of equations. However, I recommend it only as a means to check your answer rather than do the work for you.

7 0
2 years ago
What is the graph of the inequality?
Volgvan

Answer::C. d < 2

Step-by-step explanation:

4 0
3 years ago
if the hypotenuse of a special triangle of 45 45 90 was 10 radical 6 how would u solve for the hypotenuse
Vinvika [58]
Just do it it’s quite easy
3 0
3 years ago
Find the measurement of angle 7
Inessa [10]

Answer:

76 degrees

Step-by-step explanation:

find angle 5 by subtracting 76 from 180 to get 104 degrees

the find angle 7 by subtracting 104 from 180 to get 76

180-76 =104

180-104=76

6 0
3 years ago
Other questions:
  • There are 12 boys and 16 girls in a classroom. which represents the simplified ratio of girls to students in the classroom?
    7·2 answers
  • Using the formula in model 1, choose the correct answers for the new balance and amount of interest earned in the following comp
    15·1 answer
  • Help me plz with this question!
    15·1 answer
  • 8. Niko bought penals for each of her 3 friends.
    13·1 answer
  • NEED HELP ASAP!!!!!!!!!!!!!!!!!!!!!!
    10·1 answer
  • What information do you need to write the equation of a transformed quadratic equation in vertex form
    11·1 answer
  • Help?! No clue about functions...
    8·2 answers
  • Hey this is another question ill give you brainliest and 5 stars as well as a heart<br><br> Asap pls
    13·2 answers
  • What is the slope of the line that contains these points?
    15·1 answer
  • PLEASE HELP AND SHOW ALL STEPS
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!