Answer:
okay
Step-by-step
no of yards they cut in an hour
Jacob = 2 yard
jenny 3/4 of a yard
no of yards it will take jenny to cut 3 yards = 4 hours
The 40 feet of fencing which covers at least 182 square feet gives the possible lengths of x as x ≥ 13 or x ≤ 7
<h3>How can the area be expressed as an inequality?</h3>
Length of the fencing = 40 feet
Number of sides covered = Three sides
Area of the fencing ≥ 182 square feet
Length of the shorter side of the pen = x
The area is therefore;
2•x² - 40•x + 182 ≥ 0
2•(x² - 20•x + 91) ≥ 0
2•(x² - 13•x - 7•x + 91) ≥ 0
2•(x•(x - 13) - 7•(x - 13) ≥ 0
Which gives;
The solution to the inequality and the possible lengths of <em>x </em>are;<em> </em>x ≥ 13 or x ≤ 7
Learn more about quadratic inequalities here;
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It would also have a slope of 3/5 because parallel lines are lines with the same slope.
Answer:
The rate of change was 3.5 degrees / h.
Step-by-step explanation:
In order to calculate the rate of change we need to divide the variation of temperature by the variation of time. Since the time is given to us in a 12 h format (am/pm), we first need to convert it to 24 h. To do that we sum the time that is "pm" by 12, we have:
time2 = 3 + 12 = 15
Therefore the rate of change in temperature is:
rate = variation of temp / variation of time
rate = (temp final - temp init) / (time final - time init)
rate = (82 - 54) / (15 - 7) = 28 / 8 = 3.5 degrees / h
The rate of change was 3.5 degrees / h.
Given the width of a rectangle = w
And the length given is 
units greater than its width.
So the length of the triangle = 
We know that the perimeter of the rectangle is 
So by plugging in the values of length and width in terms of w, we will get,
Perimeter = 
= 
We will add the like terms now.
Now we have to expand this expression by distributing 2, We will get,
So we have got the required perimeter of the rectangle in terms of w.
The perimeter is (4w+3) units.
