Answer:
The answer is 3:8
The graph of f(x) = x2 is shifted left 3 units.
The graph of f(x) = x2 is shifted up 30 units.
The graph of f(x) = x2 is reflected over the x-axis.
Using translation concepts, it is found that the correct option is given by:
The graph of f(x) = x² is shifted left 3 units.
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
In this problem, we have that the original function is:
f(x) = x².
The translated function is:
g(x) = 4x² + 24x + 30.
Factoring it we have that:
g(x) = 4(x² + 6x + 7.5) = 4[(x + 3)² - 1.5].
Since x -> x + 3, the function was shifted left 3 units.
More can be learned about translation concepts at brainly.com/question/4521517
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that same year, about 3.0×10^7 half-dollars were produced.how many more pennies were produced that year than half-dollar? explain how u know
Answer:
$42.84
Step-by-step explanation:
There are two ways to do this.
One
19% of 36 = 19/100 * 36 = $6.84
Total 36 + 6.84 = $42.84
Two
The second method involves knowing that his total is going to wind up being 119% of the bill. That's 100% + 19%
So the equation look like this
(119/100) * 36
or
(119 * 36) / 100 = 4284 / 100 = $42.84
Note
Both methods give you the same answer.
Answer:
the airline can offer 20 different flight paths under the given conditions.
Step-by-step explanation:
If the airline has 6 airports and the plane lands three times without staying in the same place twice, this is essentially a permutation problem. You want to find the number of ways to arrange 3 distinct airports out of 6.
This can be calculated using the formula for permutations of "n" items taken "r" at a time:
nPr = n! / (n - r)!
Where "n" is the total number of items (airports in this case) and "r" is the number of items to be arranged (3 landings in this case), and "!" denotes factorial.
So, in your case, the calculation would be:
6P3 = 6! / (6 - 3)!
= (6 * 5 * 4 * 3 * 2 * 1) / (3 * 2 * 1)
= 120 / 6
= 20
So, the airline can offer 20 different flight paths under the given conditions.
Answer:
its all wht u require.....question no 2