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
BartSMP [9]
3 years ago
9

Consider the statement: 4-3+5=-6+8+4. This is a mathematically correct sentence. Is the stenence true or false? Explain how you

know.
Mathematics
1 answer:
olganol [36]3 years ago
6 0

If 4 - 3 + 5 = -6 + 8 + 4 is a mathematically correct statement, then both sides should end up with the same number:

4 - 3 + 5 = -6 + 8 + 4     <em>Original statement.</em>

1 + 5 = -6 + 8 + 4     <em>You can do this in any order, but I start by doing the 4 - 3.</em>

6 = -6 + 8 + 4     <em>Finish simplifying the left side.</em>

6 = 2 + 4     <em>Combine the -6 and 8.</em>

6 = 6     <em>Finish simplifying the right side.</em>

Because both sides are equal to each other, the sentence must be true.

Therefore, the sentence is true because when simplified, the statement is 6 = 6.

<em>Hope this helps! :)</em>

<u><em>EDIT: Just incase anyone is curious, both this way and the way the other guy used both work, as they both prove that both sides are equal.</em></u>

You might be interested in
How do I solve polynomials
spin [16.1K]

Answer:

Polynomial comes from poly- (meaning "many") and -nomial (in this case meaning "term") ... so it says "many terms"

Also they can have one or more terms, but not an infinite number of terms.

These are polynomials:

3x

x − 2

−6y2 − ( 79)x

3xyz + 3xy2z − 0.1xz − 200y + 0.5

512v5 + 99w5

5

(Yes, "5" is a polynomial, one term is allowed, and it can be just a constant!)

 

These are not polynomials

3xy-2 is not, because the exponent is "-2" (exponents can only be 0,1,2,...)

2/(x+2) is not, because dividing by a variable is not allowed

1/x is not either

√x is not, because the exponent is "½" (see fractional exponents)

 

But these are allowed:

x/2 is allowed, because you can divide by a constant

also 3x/8 for the same reason

√2 is allowed, because it is a constant (= 1.4142...etc)

Monomial, Binomial, Trinomial

There are special names for polynomials with 1, 2 or 3 terms:

monomial, binomial, trinomial

Variables

Polynomials can have no variable at all

Example: 21 is a polynomial. It has just one term, which is a constant.

Or one variable

Example: x4 − 2x2 + x   has three terms, but only one variable (x)

Or two or more variables

Example: xy4 − 5x2z   has two terms, and three variables (x, y and z)

What is Special About Polynomials?

Because of the strict definition, polynomials are easy to work with.

For example we know that:

If you add polynomials you get a polynomial

If you multiply polynomials you get a polynomial

So you can do lots of additions and multiplications, and still have a polynomial as the result.

Also, polynomials of one variable are easy to graph, as they have smooth and continuous lines.

Example: x4−2x2+x

x^4-2x^2+x  

See how nice and

smooth the curve is?

You can also divide polynomials (but the result may not be a polynomial).

Degree

The degree of a polynomial with only one variable is the largest exponent of that variable.

Example:

4x3-x-3 The Degree is 3 (the largest exponent of x)

For more complicated cases, read Degree (of an Expression).

Standard Form

The Standard Form for writing a polynomial is to put the terms with the highest degree first.

Example: Put this in Standard Form: 3x2 − 7 + 4x3 + x6

The highest degree is 6, so that goes first, then 3, 2 and then the constant last:

x6 + 4x3 + 3x2 − 7

You don't have to use Standard Form, but it helps.

5 0
3 years ago
Find the area of the figure.
lys-0071 [83]

Answer: 13300

Step-by-step explanation:

3 0
3 years ago
Write an equation that represents the line that passes through the points (5,4) and (-5,0)
Assoli18 [71]
Slope = (0 - 4)/(-5-5) = -4/-10 = 2/5 

y = mx + b
4 = (2/5) (5)  + b
4 = 2 +b
b = 2

equation

y = 2/5x + 2
7 0
3 years ago
After each charging, a battery is able to hold only 99% of the charge from the previous charging. The battery was used for 15 ho
valentina_108 [34]

Answer: 13.5 hours or 14 hours (if you round it)

Step-by-step explanation:

\frac{0.90}{1.00} * 15

=13.5

4 0
3 years ago
Please help me :) due in a few hours.. uggh this sucks
podryga [215]

y = 3x - 4 answer x = 11/3

4x + 3y = 1 answer -3/4y + 1/4

2-3x = y answer -1/3y + 2/3

3 0
3 years ago
Other questions:
  • If y has moment-generating function m(t) = e 6(e t −1) , what is p(|y − µ| ≤ 2σ)?
    14·1 answer
  • What is the common difference in arithmetic sequence 10,8,6,4...? <br> 2<br> -2<br> 1/2<br> -1/2
    5·2 answers
  • Fractions and integer operations practice, I need help please.
    14·1 answer
  • ( x - 10) + (3x - 6)=
    15·2 answers
  • Erin feeds her dog 7/10 cup of food a day . With 3/10 cup canned and the rest dry . She also gives her dog 1 treat a day . How m
    11·1 answer
  • Round 47.219 to the nearest tenth.​
    9·2 answers
  • (a+2)(a-1) - (a+1)(a-2), if a = 2​
    9·1 answer
  • Please help me fr im struggling
    13·1 answer
  • Help show your work to
    13·2 answers
  • Line l is the perpendicular bisector of AB. What is the perimeter of ABC
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!