Answer:
Step-by-step explanation:
let my present age=x
then 2(x-5)=x+2
2x-10=x+2
2x-x=2+10
x=12
my age=12 years
age of brother =12-3=9 years
age of sister= 9-2=7 years.
Answer:
For 8 b, draw 36 squares and for 8 c, it would be 144:)
Answer:
f¯¹(x) = 23/ (6x + 3)
Step-by-step explanation:
f(x) = (23 – 3x)/6x
The inverse, f¯¹, for the above function can be obtained as follow:
f(x) = (23 – 3x)/6x
Let y be equal to f(x)
Therefore, f(x) = (23 – 3x)/6x will be written as:
y = (23 – 3x)/6x
Next, interchange x and y.
This is illustrated below:
y = (23 – 3x)/6x
x = (23 – 3y)/6y
Next, make y the subject of the above expression. This is illustrated below:
x = (23 – 3y)/6y
Cross multiply
6xy = 23 – 3y
Collect like terms
6xy + 3y = 23
Factorise
y(6x + 3) = 23
Divide both side by (6x + 3)
y = 23/ (6x + 3)
Finally, replace y with f¯¹(x)
y = 23/ (6x + 3)
f¯¹(x) = 23/ (6x + 3)
Therefore, the inverse, f¯¹, for the function f(x) = (23 – 3x)/6x is
f¯¹(x) = 23/ (6x + 3)
Answer:
your answer will be B.
Step-by-step explanation:
have a nice day
The freight train speed = 22 mph
The passenger train speed = 28 mph
Step-by-step explanation:
Assign the speed of the freight train as; <em>x </em>mph
Since the passenger train travels 6 mph faster than the freight train, its speed will be; (<em>x + 6</em>) mph
In 2 hours, the freight and passenger trains will have traveled (distance = speed * time);
2<em>x</em> and 2(<em>x + 6</em>) miles respectively
Both add up to 100 miles. Therefore;
2x + 2(x +6) = 100
4x + 12 = 100
4x = 88
x = 22
x + 6 = 28
The freight train speed = 22 mph
The passenger train speed = 28 mph