ANSWER:
Total monthly budget in dollar = $3665.
Now,
[i] Percent of taxes,
755/3665 × 100 = 20%
[ii] Percent of housing,
790/3665 × 100 = 22%
[iii] Percent of food,
350/3665 × 100 = 9%
[iv] Percent of savings,
700/3665 × 100 = 20%
[v] Percent of transportation,
245/3665 × 100 = 7%
[vi] Percent of clothing,
110/3665 × 100 = 3%
[vii] Percent of utilities,
185/3665 × 100 = 5%
[viii] Percent of entertainment,
110/3665 × 100 = 3%
[ix] Percent of other spending,
420/3665 × 100 = 11%
The transformations are vertical translation 7 units up.horizontal translation 3 units to the left
We have given that the equations
let f(x)=x^2 and g(x)=(x-3)^2+7
We have to determine the correct transformation,
<h3>What is the vertical translation?</h3>
Vertically translating a graph is equivalent to shifting the base graph up or down in the direction of the y-axis. A graph is translated to k units vertically by moving each point on the graph k units vertically.
Notice that the addition of 2 units to the variable x in the exponent involves a horizontal shift to the left in 2 units.
Notice as well that subtraction of 4 units to the functional expression involves a vertical shift downwards in 4 units.
To learn more about the transformation visit:
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Answer: First option.
Step-by-step explanation:
You know that the product obtained by multiplying a binomial and a trinomial is:
Then, in order to simplify this product, it is necessary to add the like terms.
Therefore, the expression that is equivalent to this product after it has been fully simplified is:
You can observe that this matches with the first option.
