hich function has a range of {y|y ≤ 5}? f(x) = (x – 4)2 + 5 f(x) = –(x – 4)2 + 5 f(x) = (x – 5)2 + 4 f(x) = –(x – 5)2 + 4
1 answer:
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The volume of the box as a polynomial in the variable x is x(12 - 2x)(7 - 2x)
<h3>How to determine the volume?</h3>The complete question is added as an attachment
From the attached image, we have:
Length = 12 - 2x
Width = 7 - 2x
Height = x
The volume is calculated as:
Volume = Length * Width * Height
Substitute the known values in the above equation
Volume = (12 - 2x) * (7 - 2x) * x
This gives
Volume = x(12 - 2x)(7 - 2x)
Hence, the volume of the box as a polynomial in the variable x is x(12 - 2x)(7 - 2x)
Read more about polynomial at:
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Answer:
look at explanation
Step-by-step explanation:
To solve all of these questions you just need to scale. While scaling you can divide or multiply.
1. (divide by 4 to get unit rate)
unit rate =
2. If it takes one hour to travel 40 miles, then we don't have to scale or anything. We know , the answer is...
"It'll only take one hour to travel 40 miles. This is correct because the unit rate is . "
3. Knowing that the constant speed of the plane is , we can scale then add half of the unit rate to get our answer.
x 3 =
800 x 3 = 2400
then add half of unit rate which is
= 400
so, our answer is
4. <--- ( divided by 2)
( multiplied x 2.5) --->
To get an easier way to find the answer, if possible you can scale back farther than the 1 hour mark.
Elmer would take 2 and a half hours to ride 15 km.
5. The boys speed is . All we need to do is divide by 2.
= 4
Answer:
x=1.3288 or -1.1288
Step-by-step explanation:
Given
Subtract 4x from both sides
Since we can factor out 2 from whole equation, let's factor out 2.
Divide with 2 on both sides
We got the quadratic equation, we can solve for x using quadratic formula.