Answer:
5. r(x) is f(x) translated down 16 units
7. g(x) is f(x) vertically scaled by a factor of 2/5
Step-by-step explanation:
5. Adding a number to a function value translates that value up by the amount of the number. If the number is negative, the translation is downward. Adding -16 to x^2 translates the graph down 16 units.
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7. Multiplying a function value vertically scales the graph of the function by the multiplying factor. For factors greater than 1, the result is a vertical expansion; for factors less than 1, the result is vertical compression. Here, the function f(x) = x^2 is multiplied by 2/5, so the resulting g(x) is vertically scaled by a factor of 2/5 (compressed).
For a parabola, the effect is to make the graph appear "wider." Values some distance from the line of symmetry that would have been vertically off the page now appear on the page. Hence, the horizontal extent of the graph on the page has increased.
Answer:
36%
Step-by-step explanation
Explanation:
To get the percentage of a fraction, we follow these steps:
1- simplify the fraction (get its simplest form)
2- multiply this simplest form by 100%
For the given, we have:
1- the fraction is
We can note that both the numerator and denominator are divisible by 2. Therefore, we can reduce the fraction into
2- Since no further simplification can be applied, therefore, our simplest form is
3- we multiply this simplest form by 100%:
* 100 = 36%
Based on the above:
18 is 36% of 50
Hope this helps :)
Answer:
a number that cannot be expressed as a fraction, , where p and q are integers and q is not equal to zero
Step-by-step explanation:
irrational numbers are numbers that never repeat, that go on forever
every non-perfect square root is irrational, same for pi
Answer:
I'm not sure but I think is 31.4
Step-by-step explanation:
multiply 15.70 twice
Stephan originally spent 110 dollars. He made 33 dollars.
Add the 124 and 19 to get 143 dollars. Then, divide by 1.3 (the number as a decimal when converted) which gets the original price it was sold for. Then, subtract 110 from 143 and you get the difference of 33 dollars.
