Answer:
8-10 feet
Step-by-step explanation:
If the length of the carpet is two more than the width, the width can be expressed as x and the length can be expressed as x+2. This means that the area(x^2+2x) must be greater than 48 but no less than 80.
Now we can solve for both the maximum and minimum cases:
x^2+2x=48, x^2+2x-48=0, now we can factor, (x+8)(x-6)=0, and now we can use the Zero Product Property to find x=-8;x=6. Since we cant have negative width, x at least has to be equal to 6.
x^2+2x=80,x^2+2x-80=0, now we can factor, (x+10)(x-8), and now using the Zero Product Property to find x=-10;x=8, and since it must be positive, at most x can equal 8.
Now since the length is two more than the width, x, you add two to both of these values and get a range of 8-10 feet.
Answer:
Place the f(x) expression 2x-3 into the x in the g(x) expression 4x+5, so it will be 4(2x-3)+5; you can expand it out if you want
<h3>Answer:</h3>
A
Step-by-step explanation:
{-32, 9, 11, 12}
first, find the mean (Find the sum of the data values, and divide the sum by the number of data values )
(-32) + 9 + 11 + 12 = 0
0/0 = 0
then, find the absolute value of the difference between each data value and the mean: |data value – mean|.
-32 - 0= -32
9 -0 = 9
11 -0 = 11
12 -0 = 0
finally, find the sum of the absolute values of the differences. Divide the sum of the absolute values of the differences by the number of data values.
0 - 0 / 4 = 0
answer is 0 (A)
13)
there are 2π radians in 1 revolution, and there are 60 seconds in 1 minute, so keeping that in mind, then,
14)
15)
what is the radians per seconds "w" in revolutions per minute? just another conversion like in 13)
1/2 (2/4) of an hour longer. If you take 1 1/4 and subtract 3/4 you get 2/4=1/2
