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bearhunter [10]
3 years ago
11

Solve the system of equations using the Substitution Method (show work)

Mathematics
1 answer:
FromTheMoon [43]3 years ago
3 0
Since both equations have 3y, we will substitute 3y.
2x-3y = 20 eq 1
rearrange
2x - 20 = 3y
sub the value of 3y into eq2
11x + (2x-20) = -1
11x + 2x - 20 = -1
13x = 19
x =19/13

sub value of x into any equation
2(19/13) - 3y =20
38/13 - 20 = 3y
-222/13 = 3y
y = -74/13
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Pooja’s plant began sprouting 2 days before Pooja bought it, and she had it for 98 days until it died
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Step-by-step explanation:

6 0
3 years ago
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Solve over the set of real numbers for the equation below x-2=√2x-1
Anon25 [30]

The set of real numbers for the equation x – 2 = √(2x – 1) will be 5.

<h3>What is the solution of the equation?</h3>

The solution of the equation means the value of the unknown or variable.

The equation is given below.

x – 2 = √(2x – 1)

Square on both side, then we have

               (x – 2)² = 2x – 1

         x² – 4x + 4 = 2x – 1

         x² – 6x + 5 = 0

   x² – 5x – x + 5 = 0

x(x – 5) – 1(x – 5) = 0

       (x – 5)(x – 1) = 0

                         x = 1, 5

The set of real numbers for the equation x – 2 = √(2x – 1) will be 5.

More about the solution of the equation link is given below.

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6 0
2 years ago
Question 2 2.1 2.2 2.2.1 2.2.2 Determine the general solution for sin(x - 30°) = cos 2x Consider the functions f(x) = sin(x-30°)
OLEGan [10]

The general solution for the given equation is 40°+120°n.

The period of g(x) is π.

The range of f(x) is [-1, 1].

  • sin(x-30°) = cos 2x
  • sin(x-30°) = sin(90°-2x)
  • (x-30°) = (90°-2x) + 360°n
  • x + 2x =  90° + 30° + 360°n
  • 3x = 120° + 360°n
  • x = (120° + 360°n)/3
  • The general solution (x) is 40° + 120°n.
  • g(x) = cos 2x
  • The period of cos x is 2π.
  • If the multiplying factor of x is 'n', then it decreases the period by n times.
  • Here, in g(x), n is 2.
  • The period of g(x) is equal to half the period of cos x.
  • The period of g(x) = 2π/2
  • The period of g(x) is π.
  • f(x) = sin(x-30°)
  • "Sin" is a trigonometric function which has a range from -1 to 1.

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5 0
1 year ago
Help with 3 short questions
quester [9]
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3 years ago
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A field goal kicker makes 2 of every 5 attempts at a field goal. If he kicks 3 field goals in a certain game, what is the probab
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Probability that he makes a goal =2/5
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= 8/125.
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