The equation 3x² - 48x + 6856 represents the area of the gym and track together in terms of width.
<h3>What is the area of the rectangle?</h3>
It is defined as the area occupied by the rectangle in two-dimensional planner geometry.
The area of a rectangle can be calculated using the following formula:
Rectangle area = length x width
We have:
A rectangular building for a gym is three times as long as it is wide. Just inside the walls of the building, there is a 6ft rectangular track along the walls of the gym and has an area of 7000ft²
Let x be the width of the rectangle.
As the area of track along the walls of the gym is 7000ft²
(x - 12)(3x - 12) = 7000
After simplifying:
3x² - 48x + 6856 = 0
Thus, the equation 3x² - 48x + 6856 represents the area of the gym and track together in terms of width.
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Answer:
15/7
Step-by-step explanation:
Answer:
The answer is 60,000.
Step-by-step explanation:
If you invest 12,000 at 3.8 annual interest. Annual means yearly, so that's every year. 12,000 x 5 is 60,000 that's why the answer is 60,000. If the answer is incorrect or correct let me know. If it's correct, mark me as brainlest, give me a rating, or say thank you! Have A Great Day.
First, convert the mixed number into an improper fraction.
To convert a mixed number into an improper fraction, find the product of the whole number and the denominator and then add the numerator.
Then the denominator will be the original denominator from the mixed number.

=

Now the fraction

is being raised to the third power negative.
When an exponent is negative, it means to take the reciprocal of the number then raise it to the power of the absolute value of the exponent.
In a mathematical expression:

So, first take the reciprocal of

which is 3.
Then raise 3 to the absolute value of the exponent. The exponent is -3.
The absolute value of -3 is 3.
3^3 = 3 * 3 * 3 = 27
So, the answer is 27.