Help me on this please
2 answers:
Answer:
domain x ≥ 7
range y ≥ 9
The 3rd answer
Step-by-step explanation:
* Lats talk about the domain and the range of the function
- The domain is the all values of x which make the function is defined
- The range is all the values of y got from the defined values of x
- In the square roots or any even roots the value under it must be
greater than or equal to zero ( the even roots for negative values is
undefined)
* Lets solve our problem
∵
- In this function we must chose the values of x which makes
x - 7 zero or positive value
∴ Let x - 7 ≥ 0
- Now solve the inequality
∵ x - 7 ≥ 0 ⇒ add 7 to the both sides
∴ x ≥ 7
- The domain of the function is the values of x
∴ The domain of the function is x ≥ 7
- Lets use the first value of x to find the first value of y
∵ x = 7
∴ f(7) = √(7 - 7) + 9 = √0 + 9 = 9
- The first value of the range is 9
∵ The range is values of y corresponding to the values of x
∴ The range of the function is y ≥ 9
* The domain x ≥ 7
The range y ≥ 9
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Answer:
Both Wolverine and James Bond will have paid the same amount after 10 months.
Step-by-step explanation:
Let x denotes the number of months after which both Wolverine and James Bond will have paid the same amount.
As Wolverine makes a $1000 down payment for a motorcycle and then pays $300 per month,
Amount paid by Wolverine in x months is equal to
As James Bond makes a $2500 down payment for a motorcycle and then pays $150 per month,
Amount paid by James Bond in x months is equal to
To find number of months after which both Wolverine and James Bond will have paid the same amount,
solve
So, both Wolverine and James Bond will have paid the same amount after 10 months.
9514 1404 393
Answer:
{2.96, 12.66}
Step-by-step explanation:
A graph shows the rocket will be 600 feet up after 2.96 seconds, and again at 12.66 seconds.
__
You can solve the equation h = 600 to find the times.
-16t^2 +250t = 600
-16(t^2 -15.625t) = 600
-16(t^2 -15.625t +7.8125²) = 600 -16(7.8125²)
-16(t -7.8125)² = -376.5625
t -7.8125 = √(376.5625/16) ≈ ±4.8513
t = 7.8125 ± 4.8513 ≈ {2.9612, 12.6638}
The rocket will be 600 ft above the ground 2.96 and 12.66 seconds after launch.
