We have 20 chances out of 100 which is 20/100=1/5 other known as 1 in 5 chance
The even numbers are 2, 4, 6, .., 100. 50 chances out of 100 which is 50/100=1/2 other know as 1 in 2 chance
<h3>
Answer:</h3>
- g(x) has an axis of symmetry at x = 3
- g(x) is shifted right 3 units from the graph of f(x)
- g(x) is shifted up 4 units from the graph of f(x)
<h3>
Step-by-step explanation:</h3>
The vertex form of g(x) is ...
... g(x) = -(x -3)² +4
This is offset to the right by 3 and up by 4 from the parent function. (It is also first reflected across the x-axis.)
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<em>Vertex form</em>
You know the leading coefficient is -1 because that's what it is for x² in the given form. When you factor -1 from the first two terms, of the given form, you have ...
... g(x) = -1(x² -6x) -5
Half the x coefficient inside parentheses will be the constant in the squared binomial term, so that term is (x -3)². The constant in that square is +9, so adding that value inside and outside parentheses in g(x) gives ...
... g(x) = -1(x² -6x +9) -5 +9
... g(x) = -(x -3)² +4 . . . . . vertex form
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<em>About transformations</em>
g(x) = f(x -a) causes the graph of f(x) to be shifted "a" units to the right. For a function f(x) with an axis of symmetry at x=0, it moves the axis of symmetry to x=a.
g(x) = f(x) +a causes the graph of f(x) to be shifted "a" units up.
g(x) = -f(x) causes the graph of f(x) to be reflected across the x-axis.
Here, we have all three of these transformations. First is the reflection:
... f₁(x) = -f(x) = -x²
Then we have shifting to the right 3 units. (also moves the axis of symmetry)
... f₂(x) = f₁(x-3) = -(x -3)²
Finally, we have shifting up 4 units.
... g(x) = f₂(x) +4 = -(x -3)² +4
1.the flight from Baltimore to Miami is 2 hours and 35 minutes
2.the flight to Boston from Baltimore is the shortest.
Miami = 2hrs 35min
Boston = 1hr 15min
Atlanta = 1hr 55min
Indianapolis = 1hr 40min
1. Spatial perspective<span> is to study something in terms of location, distance, and direction. </span>Ecological perspective<span> is to study something in terms of environment and social interaction.
2.</span><span><span>The geosphere consists of the core, mantle and crust of the Earth.
</span><span>The atmosphere contains all of the Earth’s air and is divided into troposphere, stratosphere, mesosphere, thermosphere and ionosphere.
</span><span>The hydrosphere contains all of the solid, liquid and gaseous water on Earth, extending from the depths of the sea to the upper reaches of the troposphere where water is found. Ninety-seven percent of the hydrosphere is found in salty oceans, and the remainder is found as vapor or droplets in the atmosphere and as liquid in ground water, lakes, rivers, glaciers and snowfields.
</span><span>The biosphere is the collection of all Earth’s life forms, distributed in major life zones known as biomes: tundra, boreal forest, temperate deciduous forest, temperate grassland, desert, savannah, tropical rainforest, chaparral, freshwater, and marine.
3. jobs being taken by immigrants, over population, </span></span><span>The problem with multiculturalism is that you can't have more than one rule.
4.</span><span>Whoever controls the economy controls the government. </span>
<span>Examples: </span>
<span>the Bank of England controlled the British Empire </span>
<span>the US Federal Reserve (along with its private shareholders on Wall St and in Europe) currently controls the US political system </span>
<span>The IMF uses similar tactics to take over sovereign nations in Africa and South America </span>
<span>Global bankers run almost everything. For evidence, simply look around you.</span>
