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malfutka [58]
3 years ago
5

A sweater is regularly $32. It is 25% off the original price this week.

Mathematics
1 answer:
Virty [35]3 years ago
4 0

Answer:

A. Whole.

B.  $8

Step-by-step explanation:

We must consider the price of the sweater as whole since it represents the full price of the item. The discount might be a limited only offer and does not represent the fullest price of the sweater.

To find how much a shopper would save by buying the sweater we have two methods that in the end are going to lead to the same conclusion. The long method is to represent mathematically the information presented. Conceptually, we could interpret the statement saying that the original price minus 25% of the original price is equal to the original price minus the saving or discount. Let us say the Original Price (OP)=x. then, mathematically we represent the statement as:

x-0,25*x=x-discount

Replacing with the values from the statement, we would have that:

32-0,25*32=32-discount

discount=$8

Having only one unknown value, it is easy to find it. A more direct approach is to define the discount equal to the 25% off applied to the item. Therefore:

discount=0,25*x=0,25*32=$8

It is simpler this way, however both methods lead to the same conclusion.

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3 years ago
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Solve: 12^x2+5x-4 = 12^2x+6<br> x=2<br>x = -5<br>x=2x=-5<br>no solution​
omeli [17]

Answer:

x=2

Step-by-step explanation:

12x^2+5x-4 = 12x^2+6

Subtract 12x^2 from each side

12^x2-12x^2+5x-4 = 12^2x-12x^2+6

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3 years ago
Describe the transformation f(x) = Vx+ 1 - 5 in words.
ivanzaharov [21]

Answer:

The translation is 1  unit to the left and  5 units down

Step-by-step explanation:

The explanation is given below;

Given that

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It can be seen that

The parent function is

f(x) = \sqrt{x}

After that

The parent function would be transform 1 units to the left \sqrt{x+1}

And afterwards it would be transform in 5 units down \sqrt{x+1} - 5

So

The parent function f(x) = \sqrt{x} would be  translate in 1  unit to the left and  5 units down

4 0
3 years ago
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Neporo4naja [7]

Answer:

good luck mate

Step-by-step explanation:

good luck

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What is an equation of the line that is perpendicular to y-3=4(x+2) and passes through the point (-5,7)
gtnhenbr [62]

Answer:

The perpendicular line would be y = -1/4x + 23/4

Step-by-step explanation:

In order to find the equation of this line, we first have to note that perpendicular lines have opposite and reciprocal slopes. Therefore, since the original line has a slope of 4, we know the new line will have a slope of -1/4. Now we can use that information along with the given point in point-slope form to find the equation.

y - y1 = m(x - x1)

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y - 7 = -1/4x - 5/4

y = -1/4x + 23/4

4 0
3 years ago
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