What is the image point of (7,-7) after a translation of 3 right and 1 down followed by a reflection over the x-axis?

The image point of P(7,-7) after a translation of 3 right and 1 down followed by a reflection over the x-axis will be:

Step-by-step explanation:

Given the point

(7, -7)

Translation of 3 right and 1 down means we need to add 3 units to the x-coordinate and subtract 1 unit from the y-coordinate

Therefore, the translation rule:

(x, y) → (x+3, y-1)

In our case, let the point P(7, -7)

P(7, -7)  → P'(7+3, -7-1) → P'(10, -8)

FOLLOWED BY A reflection over the x-axis

We know that the rule of reflection over the x-axis implies that

(x y) → (x, -y)

i.e. the x-coordinate of the point remains the same, but the y-coordinate changes its sign.

After the first transformation, we had got P'(10, -8)

so

P'(10, -8) → P''(10, -(-8)) → P''(10, 8)

Therefore, the image point of P(7,-7) after a translation of 3 right and 1 down followed by a reflection over the x-axis will be:

step-by-step explanation:

30% of $420 is 0.30($420) = $126 and $420 + $126 = $546.

or, 130% of $420 is 1.3($420) = $546.

notice that this is not the $600 original list price with which we started.

why doesn't this work?

the method does not work because 30% of $420 is not the same amount as the 30% of $600. it may seem obvious when stated this way, but it is a very common error made on problems of this type. we cannot just use the same percent and get back to the original amount because we are taking that percent of a different value.

to work problems of this type correctly, it is generally best to write an equation for the situation and then solve.

example: since (100% – 30%)(original price) = (sale price)

70% of the   (original price) is $420.

0.7x   = 420

equation image indicator

x = 600

the original cost was $600.

we may also solve this problem using the two-step method. working the problem in two steps requires us to use more algebra skills. we have to know that x = 1x (identity property of multiplicationtext annotation indicator) and that 1x – 0.3x = 0.7x (subtracting like terms). then we solve the problem as follows:

(original price) – 30%(original price) = sale price

x – 0.3x = 420

0.7x = $420

equation image indicator

x = 600

the original cost was $600.  

note that with both of the above methods we do obtain the correct original amount.

example: after a 5% pay raise, hermione is earning $22,680 per year. what was she earning before the pay raise?

105% of (original salary) = current salary

1.05x = 22,680

equation image indicator

x = 21,600

hermione earned $21,600 per year before the pay raise.

this is an example so maybe you will get how to at least do it!

the answer is 9.8975

explanation:

when you multiply the "39.59" with the 25% it reduces it and shows its final discounted price. hope this !

step-by-step explanation: