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Snezhnost [94]
4 years ago
6

(04.01)Solve the following system of equations by substitution and select the correct answer below:4x − 6y = 28 8x − 4y = 24

Mathematics
1 answer:
Kay [80]4 years ago
8 0
It is convenient to divide the second equation by 2, then substitute for 4x in the first equation.
  4x -2y = 12
  4x = 12 + 2y . . . . solve for 4x

  (12 +2y) -6y = 28 . . . . substitute for 4x
  -4y = 16 . . . . . . . . . . . . subtract 12
  y = -4 . . . . . . . . . . . . . .divide by -4

  4x = 12 + 2(-4) = 4
  x = 1

The solution is (x, y) = (1, -4).
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Which is grater 4/6 or 3/8?
Arturiano [62]
One way to be able to find out which one is greater is by making both the equations have the same denominator. 

4/6= 32/48 and 3/8=  18/48

32/48>18/48 is 4/6>3/8

so basically 4/6 is bigger. 
8 0
4 years ago
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A car enters an interstate highway 20 mi north of a city. The car travels north at an average speed of 58 mph. Which equation mo
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The distance is 20 speed 58 =h
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4 0
3 years ago
Please help asap! thx
vovikov84 [41]

Answer:

y = 0

Step-by-step explanation:

The given sinusoidal equation is y = 2 \cdot sin \left(\dfrac{\pi}{2} \cdot x + 3 \right)

The general form of the sin function is presented as follows;

y = A·sin(B·(x - C)) + D

Where;

A = The amplitude

The period, T = 2·π/B

The frequency, f = B/2·π

C = The horizontal shift

D = The vertical shift

By comparison with the given sine function, we have;

The amplitude, A = 2

The frequency, f = B/2·π = π/2/(2·π) = 1/4

The frequency, f = 1/4 Hz

C = The horizontal shift = 3/(π/2) = 6/π

The vertical shift, D = 0

Given that the mid line of the parent function, sin(x), is the line y = 0, and that the vertical shift is 0, the midline of the function, y = 2 \cdot sin \left(\dfrac{\pi}{2} \cdot x + 3 \right), is therefore, the line;

y = 0.

3 0
3 years ago
I am so confused plz help
shusha [124]
I hope this will help

4 0
3 years ago
Alex is buying a sweater that originally costs $35 and a pair of jeans that originally cost $28.If the sweater is marked down 30
Sladkaya [172]

Answer: $47.66

Step-by-step explanation:

The cost of the sweater is calculated by multiplying .7 x $35. (70% represents the cost of the sweater since there is a 30% discount.). The sweater cost $24.50.

The cost of the jeans is .85 x $28 = $23.80.

The total cost is $24.50 + $23.80 = $43.80.

The tax rate is 8%, which is calculated by multiplying .08 x $43.80 = $3.86 in sales tax.

Including the sales tax, the total cost is $43.80 + 3.86 = $47.66

4 0
3 years ago
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