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Lorico [155]
3 years ago
5

-3х + Зу = 9 2х — 7y = –14

Mathematics
1 answer:
Ratling [72]3 years ago
3 0

Answer:Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form:

( −7 5 , 8 5 )

Equation Form:

x = − 7 5 , y = 8 5

Step-by-step explanation:

You might be interested in
-5x+7y=-34<br> -5x+3y=-6
lisov135 [29]

Answer:

<h2>         x = -3,  y = -7</h2>

Step-by-step explanation:

-5x + 7y = -34     ⇒  -5x = -34  - 7y

    -5x + 3y = -6

-34  - 7y + 3y = -6

-34 - 4y = -6          {add 34 to both sides}

  -4y = 28             {divide both sides by (-4)}

     y = - 7

-5x + 3y = -6

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

-5x - 21 = -6        {add 21 to both sides}

-5x = 15            {divide both sides by (-5)}

  x = -3

7 0
3 years ago
Determine which of the four levels of measurement​ (nominal, ordinal,​ interval, ratio) is most appropriate. monthly temperature
Svetach [21]

Answer:

Interval level of measurement

Step-by-step explanation:

There are four level of measurements; nominal, ordinal, interval and ratio.

Nominal level of measurements separates data into exclusive categories. There is no ranking or order required in the data. Temperature is not divided into categories.

Ordinal level of measurements separates data into exclusive categories like nominal but there is ranking and order required for the data. Temperature doe not require categories or ranking.

Interval level of measurement ranks data where there are differences between units of measure but there is no meaningful zero. For temperature, a zero is not required and the interval between values is interpret-able. For example, the distance between 67 to 67 is the same as distance between 67 to 71, 71 to 75 and 75 to 79 degree f.

!!

6 0
3 years ago
Allan plays a video game in which he starts with 0 points. In round 1, he loses 3 1/2 points, in rounds 2, he wins 28 1/2 points
weqwewe [10]

Answer:

Step-by-step explanation:

start with 0

round 1 : lose 3 1/2

round 2: wins 28 1/2

round 3 : lose 3 1/2

0 - 3 1/2 + 28 1/2 - 3 1/2 =

28 1/2 - 7 =

21 1/2 <==== thats 21 and 1/2 points

5 0
3 years ago
Given the following three points, find by the hand the quadratic function they represent (0,6, (2,16, (3,33)
Lisa [10]

Answer:

f(x) = 4x^2 - 3x + 6

Step-by-step explanation:

Quadratic function is given as f(x) = ax^2 + bx + c

Let's find a, b and c:

Substituting (0, 6):

6 = a(0)^2 + b(0) + c

6 = 0 + 0 + c

c = 6

Now that we know the value of c, let's derive 2 system of equations we would use to solve for a and b simultaneously as follows.

Substituting (2, 16), and c = 6

f(x) = ax^2 + bx + c

16 = a(2)^2 + b(2) + 6

16 = 4a + 2b + 6

16 - 6 = 4a + 2b + 6 - 6

10 = 4a + 2b

10 = 2(2a + b)

\frac{10}{2} = \frac{2(2a + b)}{2}

5 = 2a + b

2a + b = 5 => (Equation 1)

Substituting (3, 33), and c = 6

f(x) = ax^2 + bx + x

33 = a(3)^2 + b(3) + 6

33 = 9a + 3b + 6

33 - 6 = 9a + 3b + 6 - 6

27 = 9a + 3b

27 = 3(3a + b)

\frac{27}{3} = \frac{3(3a + b)}{3}

9 = 3a + b

3a + b = 9 => (Equation 2)

Subtract equation 1 from equation 2 to solve simultaneously for a and b.

3a + b = 9

2a + b = 5

a = 4

Replace a with 4 in equation 2.

2a + b = 5

2(4) + b = 5

8 + b = 5

8 + b - 8 = 5 - 8

b = -3

The quadratic function that represents the given 3 points would be as follows:

f(x) = ax^2 + bx + c

f(x) = (4)x^2 + (-3)x + 6

f(x) = 4x^2 - 3x + 6

6 0
3 years ago
The fish population in a local stream is decreasing at a rate of 3% per year. The original population was 48,000. Write an expon
ElenaW [278]

Answer:

Results are below.

Step-by-step explanation:

Giving the following information:

Decrease rate (d)= 7%

Number of periods (n)= 7 years

Current population (PV)= 48,000

<u>First, to calculate the future value, we need to use the following decrease exponential formula:</u>

<u />

FV= PV*[(1+d)^-n]

<u>After 7 years:</u>

FV= 48,000*(1.07^-7)

FV= 29,892

8 0
3 years ago
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