Answer:
−2 is a member of the domain of f.
f(0) > 0
Step-by-step explanation:
Statement 1 is TRUE. Domain value includes set of values of x of the function. -2 is plotted on the x-axis on the graph. Therefore, it is a member of domain of f.
Statement 2 is incorrect. Range includes all possible y-values of the function. On the graph, no y-value plotted is -2. Therefore, -2 is NOT a member of the range of f.
Statement 3 is TRUE.
f(0) is approximately 2.2 on the graph. i.e. at x = 0, y ≈ 2.2.
Therefore, f(0) > 0.
Statement 4 is INCORRECT.
f(2) = 1, that is at x = 2, y = 1 as seen in the graph. Therefore, f(2) is not greater than 2.
Answer:
0.5 miles/ 10 minutes* (60 minutes/ 1 hour)= 3 miles/hour.
0.25 miles/ 6 minutes* (60 minutes/ 1 hour)= 2.5 miles/hour.
The unit rate of Ron is 3 miles/hour.
The unit rate of Steve is 2.5 miles/hour.
Therefore, Ron walks faster~
Step-by-step explanation:
<h2>
The product of the rational expressions![\dfrac{7x}{x-4}.\dfrac{x}{x+7} = \dfrac{7x^2}{x^2+3x-28}](https://tex.z-dn.net/?f=%5Cdfrac%7B7x%7D%7Bx-4%7D.%5Cdfrac%7Bx%7D%7Bx%2B7%7D%20%3D%20%5Cdfrac%7B7x%5E2%7D%7Bx%5E2%2B3x-28%7D)
.</h2>
Step-by-step explanation:
We have,
![\dfrac{7x}{x-4}.\dfrac{x}{x+7}](https://tex.z-dn.net/?f=%5Cdfrac%7B7x%7D%7Bx-4%7D.%5Cdfrac%7Bx%7D%7Bx%2B7%7D)
To find, the product of the rational expressions
= ?
∴ ![\dfrac{7x}{x-4}.\dfrac{x}{x+7}](https://tex.z-dn.net/?f=%5Cdfrac%7B7x%7D%7Bx-4%7D.%5Cdfrac%7Bx%7D%7Bx%2B7%7D)
= ![\dfrac{7x.x}{(x-4)(x+7)}](https://tex.z-dn.net/?f=%5Cdfrac%7B7x.x%7D%7B%28x-4%29%28x%2B7%29%7D)
= ![\dfrac{7x^2}{(x(x+7)-4(x+7)}](https://tex.z-dn.net/?f=%5Cdfrac%7B7x%5E2%7D%7B%28x%28x%2B7%29-4%28x%2B7%29%7D)
= ![\dfrac{7x^2}{x^2+7x-4x-28}](https://tex.z-dn.net/?f=%5Cdfrac%7B7x%5E2%7D%7Bx%5E2%2B7x-4x-28%7D)
= ![\dfrac{7x^2}{x^2+3x-28}](https://tex.z-dn.net/?f=%5Cdfrac%7B7x%5E2%7D%7Bx%5E2%2B3x-28%7D)
Thus, the product of the rational expressions
.
Answer:
450 minutes
Step-by-step explanation:
15 + 0.1x = 60
15 - 15 + 0.1x = 60 - 15
0.1x = 45
![\frac{0.1x}{0.1} = \frac{45}{0.1}](https://tex.z-dn.net/?f=%5Cfrac%7B0.1x%7D%7B0.1%7D%20%3D%20%5Cfrac%7B45%7D%7B0.1%7D)
x = 450