Joanne buys a rectangular rug with an area of 35/4 square meters. The length of the rug is 7/2 meters. What is the with, in mete
1 answer:
Answer: 5/2 meters
Step-by-step explanation:
You can find the area of a rectangle using this equation:
A = bh, where b is the base (length) and h is the height.
So, your rectangle is:
You can then divide both sides by 7/2 to find h.
To divide, you can flip the fraction in the denominator to multiply:
So, your width is 70/28. You can divide both sides by 14 to get 5/2.
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Answer:
Decimal: 695.36
Fraction: 695 and 9/25
Step-by-step explanation:
For any quadratic functions, ax² + bx + c, we can easily find the x-coordinate of its vertex through the use of the formula below.
where a and b are the coefficients of the function. For f(x), we have a = -1 and b = -16. Thus, we have
Since we now have the x-coordinate of the vertex, we can just easily substitute 8 into f(x) as shown below.
Thus, the vertex of f(x) is (8, 60). The vertex of the function shows the maximum value that the function can reach. For this particular case, the vertex represents the maximum profit that the shop owner could earn.
The x-intercepts of the function are the values of x when f(x) is zero. By equation f(x) with zero, we can solve the quadratic equation to find the x-intercepts as shown below.
From this, we can see that the x-intercepts are (6, 0) and (10, 0). We just discussed that the x-intercepts are the values of x when y is zero. So, for this case it means that the shop does not earn a profit if they sell 6 or 10 candles. Basically, the x-intercepts represent the number candles sold if the shop wants to break even.
where a and b are the coefficients of the function. For f(x), we have a = -1 and b = -16. Thus, we have
Since we now have the x-coordinate of the vertex, we can just easily substitute 8 into f(x) as shown below.
Thus, the vertex of f(x) is (8, 60). The vertex of the function shows the maximum value that the function can reach. For this particular case, the vertex represents the maximum profit that the shop owner could earn.
The x-intercepts of the function are the values of x when f(x) is zero. By equation f(x) with zero, we can solve the quadratic equation to find the x-intercepts as shown below.
From this, we can see that the x-intercepts are (6, 0) and (10, 0). We just discussed that the x-intercepts are the values of x when y is zero. So, for this case it means that the shop does not earn a profit if they sell 6 or 10 candles. Basically, the x-intercepts represent the number candles sold if the shop wants to break even.