<h3>Given</h3>
Two positive integers x and y
x - y = 4
x² + y = 68
<h3>Find</h3>
x and y
<h3>Solution</h3>
Add the two equations together.
... (x - y) + (x² + y) = (4) + (68)
... x² + x = 72
Rearrange to standard form and factor.
... x² + x - 72 = 0
... (x + 9)(x - 8) = 0
Use the zero product rule to find the solutions. That rule says the product is zero when one or more factors is zero.
... x + 9 = 0 ⇒ x = -9
... x - 8 = 0 ⇒ x = 8 . . . . . . the positive solution
Then we can find y from
... 8 - y = 4
... y = 4 . . . . . . . add y-4 to the equation
The two positive integers are 8 and 4.
Answer:
Lloyd
Step-by-step explanation:
Answer:
C. the graph of g(x) is shifted 3 units up.
Step-by-step explanation:
The statement that compares the graph of g(x) with the graph of f(x) is that the graph of g(x) is shifted 3 units up.
If we have the equation:
G(x) = F(x) + 3
Then, the graph of G(x) will be composed of points 3 units above the graph of F(x).
Conversely, the difference between F(x) and G(x) at any particular value of x will always be 3.
Answer:
A)There is no power of 4 that equals to 0
C) it’s inverse does not have any x-intercepts
Answer:
x=3/2. & y=5/2
Step-by-step explanation:
5x-3y=0.......(1)
3x-y=2.........(2)
from equation 2: y=3x-2
substitute in equation 1
5x-3(3x-2)=0
5x-9x+6=0
-4x= -6
X=3/2
Y=3(3/2)-2
=5/2
