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Goryan [66]
3 years ago
14

What is the point of intersection when the system of equations below is graphed on the coordinate plane?

Mathematics
2 answers:
KengaRu [80]3 years ago
8 0

Answer with explanation:

  The two system of equation which are graphed on coordinate plane :

→x -y =1

y=x-1

→y-x=1

y=x+1

⇒Comparing with Slope intercept form of Line which is y= m x +c,

→m=1 for both the lines

As, the two lines has same slope , so they are parallel.Parallel lines never Intersect.

⇒The two system of equation have no solution as:

   \frac{1}{-1}= \frac{-1}{1}\neq \frac{1}{1}

Option A:→ No Intersection Point

ivanzaharov [21]3 years ago
6 0
B)infinite intersection points
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The answer is 1/12. 5+3+4=12 So 1/12 propabilty.

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2 years ago
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The price of a large can of fancy popcorn is $8.17. Between which two prices is the price of the popcorn?
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$8.00 to $8.49

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3 years ago
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F(x) = x^2. What is g(x)
Alexeev081 [22]

Answer:

g(x) = - x² - 4 ⇒ A

Step-by-step explanation:

Let us revise the reflection and translation of a function

  • If the function f(x) reflected across the x-axis, then its image is g(x) = - f(x)
  • If the function f(x) reflected across the y-axis, then its image is g(x) = f(-x)
  • If the function f(x) translated horizontally to the right by h units, then its image is g(x) = f(x - h)  
  • If the function f(x) translated horizontally to the left by h units, then its image is g(x) = f(x + h)  
  • If the function f(x) translated vertically up by k units, then its image is g(x) = f(x) + k  
  • If the function f(x) translated vertically down by k units, then its image is g(x) = f(x) – k  

f(x) = x² is the blue curve

g(x) is its image is the red curve

∵ g(x) is the image of f(x)

∵ f(x) is opened upward

∵ g(x) is opened downward

→ That means the sign of y-coordinates of all points on the blue

   graph are opposite

∴ f(x) is reflected about the x-axis

∴ Its image is - f(x)

∵ The vertex of f(x) is (0, 0)

∵ The vertex of g(x) = (0, -4)

→ That means the function translated 4 units down

∴ - f(x) is translated 4 units down

∴ Its image is - f(x) - 4

∴ g(x) = - f(x) - 4

∵ f(x) = x²

∴ g(x) = - x² - 4

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