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STatiana [176]
3 years ago
9

-5y y=-2 -3x 6y=-12 substitution

Mathematics
1 answer:
IrinaK [193]3 years ago
5 0
The answer would be x=4 and y=-2.
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The population of a city is growing at an average rate of 3% per year in 1990 the population was 45 000.
Nonamiya [84]
This is an exponential growth/decay problem...

F=Ir^t, F=final value, I=initial value, r=rate, t=time, in this case:

F=I(1.03)^t  and they just want to know when F=2I so

2=1.03^t  take natural log of both sides...

ln2=t*ln1.03

t=ln2/(ln1.03)

t≈23.45

So it will take approximately 23.45 years for the population to double..

1990+23.45=2013.45

So during the year of 2013 the population will have double from its 1990 level.
5 0
3 years ago
Find the values of x and y that maximize the objective function P=3x+2y for the graph. What is the maximum value?
AURORKA [14]

Answer:

(9, 0)

Step-by-step explanation:

Maximum or minimum value occurs at the Corner. The points given are (0, 8), (5, 4) and (9, 0).

Substitute (0, 8) in the objective function.

We get P = 3(0) + 2(8) = 16

Now for (x , y) = (5, 4)

P = 3(5) + 2(4) = 15 + 8 = 23

At (9, 0) we get P = 3(9) + 2(0) = 27.

Clearly, we have the maximum value at (9, 0).

And the maximum value is 27.

3 0
3 years ago
What is the slope if you have (1,1) and (-3,-2)?
Serga [27]

Given two points (X1,Y1) and (X2,Y2) on a line, the slope =(Y2 - Y1) /(X2 - X1).

You are given the points (1,3) and (3,-2). Implying X1 =1 , Y1 =3, X2=3, Y2=-2

Use the formula for the slope above to answer the question. If you still have problems getting the correct answer, ask for more help.

Your answer should be a negative fraction or decimal if you are using a calculator.

3 0
2 years ago
Read 2 more answers
Brass is made from a mixture of copper and other elements. a mixture that is 80% copper is combined with a mixture that is 60% c
algol [13]

The equation that can be used to find x, the amount of the 60% mixture used to create the 65% mixture is:

0.60*x + 0.80*(100 - x) = 0.65*(100).    

<h3>Which equation we should use?</h3>

First, let's define two variables:

  • x = pounds of the 60% copper brass.
  • y = pounds of the 80% copper brass.

We know that we want to make 100 lb of 65% copper brass, then we must have that:

x + y = 100

And the percentage of copper before and after mixing must be the same, so we can write:

0.60*x + 0.80*y = 0.65*(x + y).

(where the percentages are written in decimal form).

Then we have a system of equations:

x + y = 100

0.60*x + 0.80*y = 0.65*(x + y).

To get a single equation, we can isolate the variable "y" on the first equation:

y = 100 - x

Now we replace that in the other equation:

0.60*x + 0.80*(100 - x) = 0.65*(100).      

This is what we wanted to get, an equation that can be used to find x, the amount of the 60% mixture used to create the 65% mixture.

If you want to learn more about systems of equations:

brainly.com/question/13729904

#SPJ1

4 0
2 years ago
What is the equation of the line passing through the points (2, 6) and (-2, 4)
g100num [7]
The equation is y=1/2x+5
3 0
3 years ago
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