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AVprozaik [17]
3 years ago
12

What is the solution to this system of equationsA. (4,2)B. (8,4)C. (4,8)D. (2,4)​

Mathematics
2 answers:
Burka [1]3 years ago
7 0

Answer:

B. (8,4)

Step-by-step explanation:

We want to find when these two equations are equal. The long way is to actually solve them using elimination or substitution of the equations. But, we can see an easier and clever way to solve them.

There is one specific time when equations are equal and that is when their lines intersect or cross, notice the graph and where they intersect. That specific coordinate where they intersect is your answer, (8, 4)!

svlad2 [7]3 years ago
5 0

Answer:

B. (8,4)

Step-by-step explanation:

To find the solution of the system, look at where the lines intersect. The intersecting point is (8,4). The solution to the system of equations is (8,4).

You might be interested in
An unfair coin with​ Pr[H] = 0.2 is flipped. If the flip results in a​ head, a marble is selected at random from a urn containin
satela [25.4K]
Normally when dealing with coins the probability of getting heads or tails is 0.5 each. However in this case since its an unfair coin, the probability of getting heads is 0.2. 
H - head 
T - tails
R - red marble
pr (H) = 0.2
urn
6 red and 4 blue
pr (T)   = 0.8
urn
3 red and 5 blue

when heads is obtained 
red - 6/10 -0.6
blue - 4/10 - 0.4
therefore when multiplying with 0.2 probability of getting heads
pr (R ∩ H) red - 0.6*0.2 = 0.12

when tails is obtained 
red - 3/8 - 0.375
blue - 5/8 - 0.625
when multiplying with 0.8 probability of getting tails
pr (R ∩ T) red - 0.375 * 0.8 = 0.3

using bayes rule the answer can be found out, 
the following equation is used;
pr (H | R) = pr (R ∩ H) / {pr (R ∩ H) + pr (R ∩ T)}
               = 0.12 / (0.12 + 0.3)
               = 0.12 / 0.42
               = 0.286
the final answer is 0.286
6 0
3 years ago
Divide <br> (6-q+8q^3-4q^2)/(2q-2)
mestny [16]

Answer:


Step-by-step explanation:

        4q2 + 2q + 3                

 (2q - 2)  l  _  8q3  -  4q2  -  q  +  6                                        

                    8q3  -  8q2                      

                           _  4q2  -  q    

                               4q2 - 4q    

                                     _  3q  +  6  

                                        6q   +  6        

                                       -3q (remainder)  


  4q2 + 2q + 3 -3q / (2q - 2)      


hope this helps

4 0
3 years ago
The following steps are used to rewrite the polynomial expression, 3(x + 4y) + 5(2x - y).
ololo11 [35]

Answer:

step1 - distributive property

step2 - associative property

step3 - cumulative property

step4 -  associative property

Step-by-step explanation:

3 0
3 years ago
Lord have mercy<br> please help me
sleet_krkn [62]

Answer:

-24 and positive 2

Step-by-step explanation:

4 0
3 years ago
the average mark of three pupils are 68. what is the ratio of 5:4:3. how many marks did the best student get? HELP ME! ​
noname [10]

Answer:

85, 68, 51

Step-by-step explanation:

Average: The sum of all the numbers divided by the number of numbers

If the ratio of the scores is 5 : 4 : 3, let's just set it as 5x : 4x : 3x

Then using the definition of an average, we can write this equation.

(5x + 4x + 3x) / 3 = 68

Multiply both sides by 3.

5x + 4x + 3x = 68 * 3

Simplify.

12x = 204

x = 17

Now, substitute x = 17 into the original scores (5x, 4x, and 3x)

5x = 5 * 17 = 85

4x = 4 * 17 = 68

3x = 3 * 17 = 51

Just in case, let's check this answer. Find the average of the 3 test scores.

(85 + 68 + 51) / 3 =

204 / 3 = 68

Thus, the answers are correct

3 0
3 years ago
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