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Mariana [72]
4 years ago
10

5x - 2y = 3 -5x + 4y = 9 Solve the system of equations.

Mathematics
1 answer:
harkovskaia [24]4 years ago
6 0
5x - 2y = 3
-5x + 4y = 9
_________
2y =12
2y/2= 12/2
y = 6

5x - 2(6) = 3
5x -12 = 3
5x -12+12 = 3+12
5x = 15
5x/5 = 15/5
x = 3

Check
-5(3) + 4(6) = 9
-15+24=9
9=9
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-X² + 5x - 6 = 2<br> Using the quadratic formula
Ivenika [448]

-x^2+5x-6=2\\-x^2+5x-6-2=0\\-x^2+5x-8=0\\

↝ Form into ax^2+bx+c = 0 where a > 0 (Optional)

x^2-5x+8=0 ↝ Multiply -1 for both sides.

↝ Then proceed with the Quadratic Formula.

x = [-b ± (√b²-4ac)]/2a ↝ Quadratic Formula

x=\frac{-(-5)+-\sqrt{(-5)^2-4(1)(8)}}{2(1)}\\x=\frac{5+-\sqrt{25-32}}{2}\\

↝ As you can see that inside the square root, the numbers cannot be negative. Therefore, the solutions are imaginary.

↝ Solution with Real Numbers  System ↝  There are no real solutions.

↝ Solution with Complex Number System ↝

x=\frac{5+-\sqrt{25-32}}{2}\\x=\frac{5+-\sqrt{-7}}{2}\\x=\frac{5+-\sqrt{7}i }{2}

Therefore, the answer for Complex Number System is (5±√7i)/2

3 0
3 years ago
3x + 8x - 2 = 20<br> I need help asap
Paha777 [63]

Answer:

x = 2

Step-by-step explanation:

Given

3x + 8x - 2 = 20 , that is

11x - 2 = 20 ( add 2 to both sides )

11x = 22 ( divide both sides by 11 )

x = 2

6 0
4 years ago
Read 2 more answers
Helppppp plz 10points
Svetradugi [14.3K]

I believe the answer is B

7 0
3 years ago
Read 2 more answers
From a random sample of 58 businesses, it is found that the mean time the owner spends on administrative issues each week is 21.
zzz [600]

Answer: (20.86, 22.52)

Step-by-step explanation:

Formula to find the confidence interval for population mean :-

\overline{x}\pm z^*\dfrac{\sigma}{\sqrt{n}}

, where \overline{x} = sample mean.

z*= critical z-value

n= sample size.

\sigma = Population standard deviation.

By considering the given question , we have

\overline{x}= 21.69

\sigma=3.23

n= 58

Using z-table, the critical z-value for 95% confidence = z* = 1.96

Then, 95% confidence interval for the amount of time spent on administrative issues will be :

21.69\pm (1.96)\dfrac{3.23}{\sqrt{58}}

=21.69\pm (1.96)\dfrac{1.7}{7.61577}

=21.69\pm (1.96)(0.223221)

\approx21.69\pm0.83

=(21.69-0.83,\ 21.69+0.83)=(20.86,\ 22.52)

Hence, the 95% confidence interval for the amount of time spent on administrative issues = (20.86, 22.52)

7 0
3 years ago
Helpp me please
garik1379 [7]

Answer:

4. D

5. B

6. B

Step-by-step explanation:

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In answer choice A the x value 3 and -3 repeats therefore is is not a function

in answer choice b each x value has it's own y value. So this might be the answer but just to be safe let's check the other

In answer choice C the x value 2 repeats multiple times therefore it is not a function

In answer choice D the x value 4 repeats therefore it is not a function

So we can conclude that the answer is B

The dependent variable is the variable the depends on another variable to get it's value. in the description of the question it says that the number of products on his plastic bag lists INFLUENCES how many plastic bags he brings to the store.This means that the number of plastic bags depends on the number of products on the plastic bags lists. Hence the answer is B

6 0
3 years ago
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