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slega [8]
3 years ago
8

What is the value of x in the solution to this system of equations?

Mathematics
2 answers:
irinina [24]3 years ago
8 0

Answer:

Step-by-step explanation:

B) -1

The 'x' value =-1 and y =-7

The solution of the given system of equations

(-1,-7)

   

Step-by-step explanation:

Step(i)

Given that the system of equations

                x-y = 6 ..(i)

               y = 2x -5 ..(ii)

By using substitution method,

substitute y=2x-5 in equation (i) , we get

       x -(2x-5) =6

      x -2x+5 =6

          -x = 6-5

          -x =1

           x=-1

Step(ii):-

Put x=-1 in equation (ii) , we get

      y = 2(-1) -5 = -2-5 =-7

The solution of the given system of equations

(-1,-7)

sp2606 [1]3 years ago
3 0

Answer:

B) -1

The 'x' value =-1 and y =-7

The solution of the given system of equations

(-1,-7)

   

Step-by-step explanation:

<u><em>Step(i)</em></u>

Given that the system of equations

                 x-y = 6 ..(i)

                y = 2x -5 ..(ii)

By using substitution method,

substitute y=2x-5 in equation (i) , we get

        x -(2x-5) =6

       x -2x+5 =6

           -x = 6-5

           -x =1

            x=-1

<u><em>Step(ii):-</em></u>

Put x=-1 in equation (ii) , we get

       y = 2(-1) -5 = -2-5 =-7

The solution of the given system of equations

(-1,-7)

   

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The population of a community is known to increase at a rate proportional to the number of people present at time t. The initial
maks197457 [2]

Answer:

The initial population P0 is 7500

Step-by-step explanation:

First of all, we are told that the population is proportional to time. This means that as time goes by, the population will increase. This type of relationship between two variables has the form of a linear equation expressed as:

y = mx + b,

where m is the slope of the curve and b is the intercept of it.

In this case we can state the following equation:

P = mt + P0

Where P is the population at a certain time "t", "m" is the slope of the curve, "t" is the time (this is the independent variable) and P0 is the intercept of the curve and represents the initial population.

Once we state the equation, let's see what we know:

If t = 0, then P = P0

If t = 3, then P = 12000 just as we are told

and if t = 5, then P = 2 P0 because after five years the population has doubled compared to the initial population (P0).

From the definition of the slope of the curve:

(Y2 - Y1)/(X2-X1) = m

and using the data described before we can formulate the slope value:

m = (2P0 - P0)/(5-0)

m = (2P0 - P0)/5

m = P0/5

Then, let's replace the value of m in the following equation:

P = mt + P0

12000 = (P0/5) × 3 + P0 → This is the equation presented when 3 years has gone by and we now have a population of 12000.

12000 = (3/5) P0 + P0

12000 = (8/5) P0

12000×5/8 = P0 = 7500

Then we can calculate the value of the slope m:

m = P0/5

m = 7500/5 = 1500

Now, knowing the value of m and the initial population P0 we are able to calculate the population at any value of "t".

6 0
3 years ago
HELP PLEASE 13 POINTS
dimulka [17.4K]

Answer:

164

Step-by-step explanation:

The formula is *4

41*4=164

4 0
2 years ago
HELP ME PLEASE THANK U
tangare [24]
To fine the mean for a first add up all the players heights then divide by the number of players.

Mean=(198+199+200+201+202)÷5
=1000÷5
=200

The answer to a is 200

For question be were gonna say for now that the height of our new player is represented by x. So we know that together there is 6 players and we know our answer so it should look something like this

201= (199+198+199+200+201+202+x) ÷ 6
201=1000+x ÷ 6
Then Im going to multiply 201 by 6 to get rid of the 6 on the other side.
1206=1000+x
Then I’m going to subtract 1000 from both sides to get x by itself
206=x

So the new players height is 206 .
3 0
3 years ago
A cable that weighs 6 lb/ft is used to lift 500 lb of coal up a mine shaft 400 ft deep. Find the work done. Show how to approxim
stealth61 [152]

Answer:

8.2 *10^5 ft lb

Step-by-step explanation:

Wcoal = 800*500  = 400000 = 4*10^5 ft lb

Wrope =\int\limits^{400}_0 {6(400-y)} \, dy

Using a right Riemann sum

The width of the entire region to be estimated = 400 - 0 = 400

Considering 8 equal subdivisions, then the width of each rectangular division is 400/8 = 50

F(x) = 6(400-y)

\left[\begin{array}{cccccccccc}x&0&50&100&150&200&250&300&350 &400\\f(x)&2400&2100&1800&1500&1200&900&600&300&0\end{array}\right]

Wrope = 50(2100) + 50(1800) + 50(1500) + 50(1200) + 50(900) + 50(600)

+ 50(300) + 50(0) = 420000 = 4.2 * 10^5 ft lb

Note: Riemann sum is an approximation, so may not give a accurate value

work done =  Wcoal + Wrope= 4*10^5+ 4.2 * 10^5 = 8.2 *10^5 ft lb

8 0
2 years ago
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aalyn [17]

Answer: i cant type it but take the images- hope that helps

Step-by-step explanation:

5 0
3 years ago
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