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
KiRa [710]
3 years ago
5

Which property does each equation demonstrate? x2 + 2x = 2x + x2 (3z4 + 2z3) – (2z4 + z3) = z4 + z3 (2x2 + 7x) + (2y2 + 6y) = (2

y2 + 6y) + (2x2 + 7x)
Mathematics
1 answer:
myrzilka [38]3 years ago
5 0

Answer:

1 . Closure

2. Distributive

3. Closure

Step-by-step explanation:

Here, we want to know the type of property exhibited or displayed by each of the equations in the question.

Equation 1 displays the closure property.

What this means that if we make an addition operation either way, we would get same answer. So we say that addition is closed for that equation.

Equation 3 exhibits closure property as well. If we go either way on the addition operation for that equation, we are bound to get the same answer.

Equation 2 exhibits the distributive property.

Each term in the bracket is multiplied by the subtraction symbol before we proceeded to complete the arithmetic operations

You might be interested in
Suppose brine containing 0.2 kg of salt per liter runs into a tank initially filled with 500 L of water containing 5 kg of salt.
Oliga [24]

Answer:

(a) 0.288 kg/liter

(b) 0.061408 kg/liter

Step-by-step explanation:

(a) The mass of salt entering the tank per minute, x = 0.2 kg/L × 5 L/minute = 1 kg/minute

The mass of salt exiting the tank per minute = 5 × (5 + x)/500

The increase per minute, Δ/dt, in the mass of salt in the tank is given as follows;

Δ/dt = x - 5 × (5 + x)/500

The increase, in mass, Δ, after an increase in time, dt, is therefore;

Δ = (x - 5 × (5 + x)/500)·dt

Integrating with a graphing calculator, with limits 0, 10, gives;

Δ = (99·x - 5)/10

Substituting x = 1 gives

(99 × 1 - 5)/10 = 9.4 kg

The concentration of the salt and water in the tank after 10 minutes = (Initial mass of salt in the tank + Increase in the mass of the salt in the tank)/(Volume of the tank)

∴ The concentration of the salt and water in the tank after 10 minutes =  (5 + 9.4)/500 = (14.4)/500 = 0.288

The concentration of the salt and water in the tank after 10 minutes = 0.288 kg/liter

(b) With the added leak, we now have;

Δ/dt = x - 6 × (14.4 + x)/500

Δ = x - 6 × (14.4 + x)/500·dt

Integrating with a graphing calculator, with limits 0, 20, gives;

Δ = 19.76·x -3.456 = 16.304

Where x = 1

The increase in mass after an increase in = 16.304 kg

The total mass = 16.304 + 14.4 = 30.704 kg

The concentration of the salt in the tank then becomes;

Concentration = 30.704/500 = 0.061408 kg/liter.

6 0
3 years ago
What are the solutions to. x^2 - x - 20 = 0
nignag [31]

Step-by-step explanation:

<em>x² - x - 20 = 0</em>

<em>x²</em><em> </em><em>-</em><em> </em><em>(</em><em>5</em><em>-</em><em>4</em><em>)</em><em> </em><em>x </em><em>-</em><em> </em><em>2</em><em>0</em><em> </em><em>=</em><em> </em><em>0</em><em> </em>

<em>x²</em><em> </em><em>-</em><em> </em><em>5x </em><em>+</em><em> </em><em>4x </em><em>-</em><em>2</em><em>0</em><em> </em><em>=</em><em> </em><em>0</em>

<em>x </em><em>(</em><em> </em><em>x </em><em>-</em><em> </em><em>5</em><em>)</em><em> </em><em>+</em><em> </em><em>4</em><em> </em><em>(</em><em> </em><em>x </em><em>-</em><em> </em><em>5</em><em>)</em><em> </em><em>=</em><em> </em><em>0</em>

<em>(</em><em>x </em><em>-</em><em> </em><em>5</em><em>)</em><em> </em><em>(</em><em>x+</em><em> </em><em>4)</em><em> </em><em>=</em><em> </em><em>0</em>

<em>Either</em><em>. </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em>

<em>x </em><em>-</em><em> </em><em>5</em><em> </em><em>=</em><em> </em><em>0</em>

<em>x </em><em>=</em><em> </em><em>5</em>

<em>Or, </em>

<em>x </em><em>+</em><em> </em><em>4</em><em> </em><em>=</em><em> </em><em>0</em><em> </em>

<em>x </em><em>=</em><em> </em><em>-</em><em>4</em>

3 0
3 years ago
Give a correct interpretation of a 99% confidence level of 0.102 &lt; p &lt; 0.236.
lord [1]
We are 99% confident that the interval from 0.102 to 0.236 actually does contain the true value of the population proportion <span>p.</span>
4 0
3 years ago
Read 2 more answers
Many electronics follow a failure rate described by an exponential probability density function (PDF). Solar panels are advertis
katovenus [111]

Answer:

The right answer is "0.3193".

Step-by-step explanation:

According to the question,

Mean,

\frac{1}{\lambda}  = 13

\lambda = \frac{1}{13}

As we know,

The cumulative distributive function will be:

⇒ 1-e^{-\lambda x}

hence,

In the first 5 years, the probability of failure will be:

⇒ P(X

                    =1-e^{-(\frac{1}{13} )\times 5}

                    =1-e^(-\frac{5}{13})

                    =1-0.6807

                    =0.3193

3 0
3 years ago
What fraction of a batch of trail mix consists of peanuts
Luden [163]
2 and 2/3
This will be tha answer I tjink
5 0
3 years ago
Other questions:
  • I don’t understand how to proof Cpctc or answer the questions
    14·1 answer
  • Suppose T: ℝ3→ℝ2 is a linear transformation. Let U and V be the vectors given below, and suppose that T(U) and T(V) are as given
    12·1 answer
  • The sum of two even consecutive numbers is thirty-four. What are the numbers? NEED FOR RSM NEED BY THURSDAY NEXT WEEK HELP
    5·2 answers
  • Answer the following questions CORRECTLY I will know if this is wrong. I WILL REPORT ANY INCORRECT ANSWERS!
    15·2 answers
  • Evaluate the expression 10b/a if b = 6 and a = 2
    12·2 answers
  • So how do you do ratios and rates and portions im failing in math and i dont know what to do can you help?
    9·1 answer
  • The Young family has a fish tank with different colors of fish. There are 8 black fish, 5 white fish and 3 gold fish.
    5·2 answers
  • BRAINIST &amp; 20 POINTS!!
    6·2 answers
  • The median of the eight marks 9, 6, 2, 4, 7, 5, 1, 8 is​
    10·2 answers
  • Please answer the attachment!
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!