3)The original rational number was 17/12.
4)The age of Ruby and Reshma are 20 and 28 years respectively.
Explanation:
3)Let the numerator be x.
So denominator will be (x - 5)
If we add 5 to numberator then it will be (x + 5)
New number is (x + 5)/(x - 5)=11/6
Solve for X by cross multiplying
6(x + 5)=11(x - 5)
6x + 30=11x - 55
5x=85
x=17
So original rational number was 17/12.
4)The ages of Ruby and Reshma are in the ratio 5:7
So, let the present ages of Ruby and Reshma be 5x and 7x respectively.
Also, it is given that four years from now the ratio of their ages will be 3:4
So, the equation - 5x + 4 / 7x + 3 = 3/4
⇒4(5x+4)=3(7x+4)
⇒20x+16=21x+12
⇒21x−20x=16−12
⇒x=4
⇒5x=20 and 7x=28
The age of Ruby and Reshma are 20 and 28 years respectively.
The graph of g(x) = f(-5x+10) is given in the figure.
<h3>What is a graph?</h3>
A diagram showing the relation between two variable quantities,each measured along one of a pair of axes at right angles.
It is given that f(x) = x^2
and g(x ) = f(-5x+10)
Now putting the value of f(x) in g(x) we get,
g(x) = f(-5x+10) = (-5x+10)^2
So, g(x) = (-5x+10)^2
now, making the table for g(x),
<u><em>x </em></u><u>g(x)</u>
0 100
1 81
2 0
3 25
4 100
5 225
Hence,the graph of g(x) = f(-5x+10) is given in the figure.
More about graph :
brainly.com/question/11616742
#SPJ1
Answer:
All of them would be under $65
Answer: B) -5
Step-by-step explanation: all you do is subtract 12 from each side and you will get -5