Answer:
a) y = 16/x²
b) x = 4/5
Step-by-step explanation:
You want the equation for y in terms of x when y is inversely proportional to the square of x, and y is 16 when x is 1. Further, you want the value of x when y is 25.
<h3>(a) Relation</h3>
The wording "inversely proportional to the square" means the form of the equation is ...
y = k/x² . . . . . . where k is the constant of proportionality
The value of k can be found from the given (x, y) pair.
k = x²y = (1)²(16) = 16
The equation is ...
y = 16/x²
<h3>(b) Value of x</h3>
Solving for x gives ...
x = √(16/y)
Then the value of x for y = 25 is ...
x = √(16/25)
x = 4/5
Step-by-step explanation:
1) = 4ab
2) 12a2b
3) 8ab2
4) 6ab2
5) 12abc
6) 6ab2c
7) 16a2bc
8) 27abc
Answer:
3 points are:
Step-by-step explanation:
Answer:
1000 miles
Step-by-step explanation:
Given the following :
Number of miles driven :
First trip = 240 miles
Second day = 205 miles
Third day = 315 miles
Fourth day; miles driven before arriving at their final destination = 220 miles
Total number of miles driven after 4 days before reaching their destination :
(240 + 205 + 315 + 220) = 980 miles
However, they still haven't reached their destination ;
Using front end estimation :
We can take the total miles recorded and make an estimation based on the first digit of the recorded miles traveled:
In other to estimate 980 using front end estimation : the actual number is replaced with a number with only one nonzero digit (which is the first digit)
Hence,
980 - - - - > we round the digit after 9 either 1 or 0, since it is greater than 4, then it is rounded to and added to the first digit, all subsequent dots are rounded to zero
Hence 980 - - - - > 1000
Hence, estimated miles driven = 1000 miles
Answer:
Step-by-step explanation:
Integrating both sides yields:
Our solution is:
