After 10 weeks, the boys will have same amount in savings.
Step-by-step explanation:
Given,
Roberto already have $30.
Amount saved each week = $5
Let,
x be the number of weeks.
R(x) = 30+5x
Amount saved by Jack each week = $8
J(x) = 8x
For same amount, the functions will be equal.
R(x) = J(x)

Dividing both sides by 3

After 10 weeks, the boys will have same amount in savings.
Keywords: functions, division
Learn more about functions at:
#LearnwithBrainly
Answer:
if the aninmal is fluffy then it is not an aligator
Step-by-step explanation:
If the diameter is 16 inches, then its radius is half that, r = 8.
Absolute value makes it positive
answe is 27
the answer is B
Answer:
Therefore the rate change of distance between the car and the person at the instant, the car is 24 m from the intersection is 12 m/s.
Step-by-step explanation:
Given that,
A person stand 10 meters east of an intersection and watches a car driving towards the intersection from the north at 13 m/s.
From Pythagorean Theorem,
(The distance between car and person)²= (The distance of the car from intersection)²+ (The distance of the person from intersection)²+
Assume that the distance of the car from the intersection and from the person be x and y at any time t respectively.
∴y²= x²+10²

Differentiating with respect to t


Since the car driving towards the intersection at 13 m/s.
so,

Now



= -12 m/s
Negative sign denotes the distance between the car and the person decrease.
Therefore the rate change of distance between the car and the person at the instant, the car is 24 m from the intersection is 12 m/s.