Here's a way to do it.
Let 4e +2 = 5n +1 . . . . . . for some integer n
Then e = (5n -1)/4 = n + (n -1)/4
We want (n-1)/4 to be an integer, so let it be integer m.
... m = (n -1)/4
... 4m = n -1
... 4m +1 = n
Substituting this into our expression for e gives
... e = (5(4m+1) -1)/4 = (20m +4)/4 = 5m +1
e = 5m+1 for any integer m
Answer:
0.875 is the equivalent fraction
Answer:
option A) y > 5/4x + 10
Step-by-step explanation:
Take any point in the shaded region
( -12 , 1)
y > 5/4 x + 10
1 > 5/4 * (-12) + 10
1 > 5*(-3) +10
1 > -15 + 10
1 > -5
(-12 , 5) satisfies the equation.
Answer:
The value of q and p is 4 and -24 respectively.
Step-by-step explanation:
Being
, the line x=4 is a vertical asymptote to the graph of f(x). The line r is an asymptote of a function if the graph of the function is infinitely close to the line r. That is, an asymptote is a line to which a function approaches indefinitely, without ever touching it.
Being a rational function that which can be expressed as the quotient of two polynomials, a vertical asymptote occurs when the denominator is 0, that is, where the function is not defined. In this case:
x - q= 0
Solving:
x= q
Being the line x=4 the vertical asymptote, then
<u><em>4=q</em></u>
Then the function f (x) is:

The y intercept is (0,4). This is, x= 0 and y=4. Replacing:

Solving:

4*(-4)= p+8
-16= p+8
-16 - 8= p
<u><em>-24= p</em></u>
<u><em>The value of q and p is 4 and -24 respectively.</em></u>