Answer:
9feet
Step-by-step explanation:
Given the path of the toy modeled by the function f(x)=−x^2+4x+5, where x is the number of feet the toy is from Emmy and f(x) is the height of the toy.
AT maximum height, the velocity of the toy will be zero. Hence;
df(x)/dx = 0
-2x + 4 = 0
-2x = -4
x = -4/-2
x = 2
Get the maximum height;
Substitute x = 2 into the given function;
f(x)=−x^2+4x+5
f(2)=−2^2+4(2)+5
f(2) = -4+8+5
f(2) = 9feet
Hence the maximum height of the toy is 9feet
Answer:
The function is represented by
.
Step-by-step explanation:
In this case, we must observe that total cost of the dog (
) is the sum of two components: i) <em>Fixed cost</em> (
) - Adoption fee, ii) <em>Variable cost</em> (
) - Daily cost of feeding the dog, both measured in US dollars.
In addition, we suppose that variable cost is directly proportional to the number of days that Kirstin owns her dog. That is:


Where:
- Number of days that Kirstin owns her dog, measured in days.
- Daily feeding costs, measured in US dollars per day.
If
, then:

The function is represented by
.
Answer:
8/35
Step-by-step explanation:
1 1/4 = 5/4
3 1/2 = 7/2
5/4 × 7/2
Find the reciprocal. (flip numerator and denomimator)
4/5 × 2/7 = 8/35
Yes because 10 to the power of 2 is 100 and if she runs 15 minutes a day for 7 days that would = 105 minutes
Yes it is true
Hope this helps