Answer:
L=36
W=6
Step-by-step explanation:
If the length is six times the width than the width is equal to x. This would make the length 6x or 6 times x. The perimeter of the rectangle is all of the sides added together. So 6x+6x+x+x=14x
The perimeter equals 84 which gives you
14x=84
Divide by 14 on each side and x=6
The length is six times longer than the width which is 6x6 or 36 and the width would just remain 6.
2 2/3
Put them together it’s a mixed fraction
Answer: Yes, He bicycled fewer in this week than last week.
Step-by-step explanation:
Let he bicycled x hours in the last week,
Then, According to the question,
![\text{ He bicycled in this week} = \frac{2}{3} \text{ of the hours he bicycled last week} = \frac{2x}{3}](https://tex.z-dn.net/?f=%5Ctext%7B%20He%20bicycled%20in%20this%20week%7D%20%3D%20%5Cfrac%7B2%7D%7B3%7D%20%5Ctext%7B%20of%20the%20hours%20he%20bicycled%20last%20week%7D%20%3D%20%5Cfrac%7B2x%7D%7B3%7D)
![\text{ Since, }1 > \frac{2}{3}](https://tex.z-dn.net/?f=%5Ctext%7B%20Since%2C%20%7D1%20%3E%20%5Cfrac%7B2%7D%7B3%7D)
![\implies x > \frac{2x}{3}](https://tex.z-dn.net/?f=%5Cimplies%20x%20%3E%20%5Cfrac%7B2x%7D%7B3%7D)
![\text{ He bicycled in the last week} > \text{ he bicycled in this week}](https://tex.z-dn.net/?f=%5Ctext%7B%20He%20bicycled%20in%20the%20last%20week%7D%20%3E%20%5Ctext%7B%20he%20bicycled%20in%20this%20week%7D)
Hence, He bicycled fewer in this week than last week.
The inverse function of g(x) will be g⁻¹(x) = (4x + 3) / 2. Then the value of the inverse function, at x = -3, will be 4.5.
<h3>What is inverse of a function?</h3>
Let the function will be
f: X → Y
Then the inverse function will be
f⁻¹: Y → X
The function is given below.
g(x) = (2x – 3) / 4
Then the inverse function of g(x) will be
g⁻¹(x) = (4x + 3) / 2
Then the value of the inverse function, at x = -3, will be
g⁻¹(-3) = [4(-3) + 3] / 2
g⁻¹(-3) = -4.5
Learn more about inverse function here:
brainly.com/question/19425567
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