Answer:
Step-by-step explanation:
Each of the equations represents equivalent fractions except the one in choice C.
13/20 = 26/40, not 25/40.
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<em>Comment on equal sign</em>
IMO, one should never use an equal sign where things are not equal--unless there is a clear indication you understand they are not equal. The equal sign should be regarded as a sacred symbol, with very specific rules as to its meaning and use.
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
Answer: 48.95
Step-by-step explanation:
so first I would add together the cost of the shirt and hat
31.59 +19.46 = 51. 05
then I would take away the 51.05 ( the total ) from $100
100 - 51.05 = $48.95
So she would get $48.95 for change
Answer:
y=35x−9
Step-by-step explanation:
Step 1: Add -12x to both sides.
12x−20y+−12x=180+−12x
−20y=−12x+180
Step 2: Divide both sides by -20.
−20y−20=−12x+180−20
y=35x−9
