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
Dvinal [7]
3 years ago
5

What algebraic property is demonstrated in theequation below?5 + 3(2x - 7) = 5 + 6x - 21​

Mathematics
1 answer:
Delvig [45]3 years ago
5 0

Answer:

The distributive property

Step-by-step explanation:

We know that distributive property states a(b+c)=ab+ac. We can see that 3 is distributed to expression (2x-7) as

5+3(2x-7)=5+3*2x+3*-7

5+3(2x-7)=5+6x-21

You might be interested in
A gardener has 140 feet of fencing to put around a rectangular vegetable garden. The function A(w)= 70w - w^2 gives the garden's
Alexus [3.1K]

The largest area that can be enclosed will be that of a square (140 ft)/4 = 35 ft on a side. Such a square has an area of (35 ft)² = 1225 ft², not enough for the garden to be 1300 ft². This tells us the solution to the equation you're being asked to write is non-real.

_____

Putting the given numbers in the area equation, you have

... 1300 = 70w -w²

Multiplying by -1 and completing the square, we have

... w² -70w +35² = -1300 +35²

... (w -35)² = 1225 -1300 = -75

Taking the square root shows us the solution is non-real.

... w - 35 = ±√(-75) = ±5i√3

... w = 35 ± 5i√3 . . . . . . . . . after adding 35. These are complex solutions.

5 0
4 years ago
An example of dependent events is drawing a blue marble out of one jar and then drawing a
Karo-lina-s [1.5K]

<u>Answer:</u>

A red marble out of the same jar, without replacing the first marble.

<u>Step-by-step explanation:</u>

Dependent events are those which involve a first event which affects the outcome of the second event.

This means that the probability of the second event changes because of the occurrence of the first event.

So if a blue marble is drawn out of one jar, then drawing a red marble out of the same jar, without replacing the first marble would be an example of dependent events.

7 0
3 years ago
A number cube numbered from 1 to 6 is rolled. what is the probability of the number cube showing a 5 or an even number?
iragen [17]
The probability would be 4/6 but if it is a simplified answer then you would get 2/3.
4 0
3 years ago
which of these is a subset of rational numbers? a. integers b. natural numbers c. whole numbers d. all of the above
Sergeeva-Olga [200]
D. All of the above. They are all rational numbers
3 0
3 years ago
Graph the line that represents a proportional relationship between y and x where the unit rate of change of y with respect to xx
natali 33 [55]

Answer:

The equation of the line is, "y = 5/3x."

Step-by-step explanation:

Here are the pictures of the graph and points attached:

3 0
3 years ago
Other questions:
  • Find the distance between these points.
    5·1 answer
  • Which represents where f(x) = g(x)?
    11·1 answer
  • In 2016, the mean score on the AP Art History exam was 3.8, with a standard deviation of 1.2. The mean score on the AP English e
    13·2 answers
  • On an average Saturday, 15% of tickets sold are child tickets. If there were 460 tickets sold in total on Saturday. How many wer
    12·2 answers
  • 3x² + 8x - 4=0<br> Use the quadratic formula to solve the equation
    11·2 answers
  • Given that p=x^2-y^2/x^2+xy
    14·1 answer
  • Find the slope mathematics
    6·1 answer
  • at the end of dinner a restaurant had several dishes of quiche each with 2/6 size pieces of quiche. the chef was able to combine
    11·1 answer
  • What is the difference?<br><br> 5x/x-2 - X+4/2x
    14·1 answer
  • Find an expression for the nth term (tn) in each of the following sequence:
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!