Given:
The table of values for the function f(x).
To find:
The values 
and 
.
Solution:
From the given table, it is clear that the function f(x) is defined as:
We know that if (a,b) is in the function f(x), then (b,a) must be in the function 
. So, the inverse function is defined as:
And,
...(i)
Using (i), we get
Now,
Therefore, the required values are and .
Answer:
The consecutive even numbers are 28, 30, 32, 34
Step-by-step explanation:
let the four consecutive even numbers be: b d f h,
such that:
b=b, d=b+2, f=b+4, h=b+6.
Therefore, 2(b+b+2)=3(b+6)+14
b=28,
d=(b+2)=30
f=(b+4)=32
h=(b+6)=34
Answer:
x=9 and y=115
Step-by-step explanation:
Solve y=9x+34;y=16x−29
Steps:
I will solve your system by substitution.
y=9x+34;y=16x−29
Step: Solvey=9x+34for y:
Step: Substitute9x+34foryiny=16x−29:
y=16x−29
9x+34=16x−29
9x+34+−16x=16x−29+−16x(Add -16x to both sides)
−7x+34=−29
−7x+34+−34=−29+−34(Add -34 to both sides)
−7x=−63
−7x
−7
=
−63
−7
(Divide both sides by -7)
x=9
Step: Substitute9forxiny=9x+34:
y=9x+34
y=(9)(9)+34
y=115(Simplify both sides of the equation)
Hope this helps :)
Answer:
(2 a - 5) (2 a + 5)
Step-by-step explanation:
Factor the following:
4 a^2 - 25
4 a^2 - 25 = (2 a)^2 - 5^2:
(2 a)^2 - 5^2
Factor the difference of two squares. (2 a)^2 - 5^2 = (2 a - 5) (2 a + 5):
Answer: (2 a - 5) (2 a + 5)
