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Alexxandr [17]
2 years ago
14

Find the solution to the system of equations.

Mathematics
1 answer:
kifflom [539]2 years ago
7 0

9514 1404 393

Answer:

  • x = -4
  • y = 7

Step-by-step explanation:

It looks like your interactive graphing tool needs you to plot some points on each of the lines. For these lines, it is convenient to use the x- and y-intercepts. Each intercept can be found by dividing the constant by the coefficient of the variable.

<u>-7x -2y = 14</u>

The x-intercept is 14/-7 = -2. Plot (-2, 0) on the x-axis.

The y-intercept is 14/-2 = -7. Plot (0, -7) on the y-axis.

<u>6x +6y = 18</u>

The x-intercept is 18/6 = 3. Plot (3, 0) on the x-axis.

The y-intercept is 18/6 = 3. Plot (0, 3) on the y-axis.

__

The point of intersection of the two lines is the solution: (x, y) = (-4, 7).

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The population of a town in 2000 was 430. The population is increasing at a rate of 0.9% every year. What will be the projected
Virty [35]

Answer: a 470

Step-by-step explanation:

The exponential growth equation with rate of growth r in time period t is given by :-

y=A(1+r)^t, where A is the initial amount

Given : The rate of growth of population every year : 0.9% =0.009

The initial population = 430

Then , the exponential growth equation in time period t is given by :-

y=430(1+0.009)^t

In 2010 or for t= 10 years

The projected population of the town will be :-

y=430(1.009)^{10}=470.305565305\approx470

Hence, the projected population of the town in 2010 is about 470.

4 0
4 years ago
Simplify the expression: (5.2 + 6.8)x - (25 ÷ 5)x
viktelen [127]

Answer:

7x

Step-by-step explanation:

(5.2 + 6.8)x - (25 ÷ 5)x

12x-(25divied by 5)x

12x-5x

7x

6 0
2 years ago
Read 2 more answers
10(x-5)=9(x+5) Solve for x. Thanks!
VashaNatasha [74]

Check attached image for work; your answer is x = 95.

4 0
4 years ago
Read 2 more answers
Let f(x) = 9 – x g(x) = 3 – x. Find (f – g)(x)
ANEK [815]

Answer:

Step-by-step explanation:

Remark

This would be easier to understand if it was written like f(x) - g(x). You might see what the question really is.

Equation

(f - g)x = f(x) - g(x)

Solution

(f - g)x = 9 - x - (3 - x)                       remove the brackets

(f - g)x = 9 - x - 3 + x

(f - g)x = 6

5 0
3 years ago
5.
STatiana [176]
The answer is C 40x9=360
444-360 = 84
84 /12= 7

The answer is C
6 0
3 years ago
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