Answer:
see explanation
Step-by-step explanation:
Given the 2 equations
y = x² + 2x + 7 → (1)
y - 7 = x → (2)
Rearrange (2) expressing y in terms of x by adding 7 to both sides
y = x + 7 → (3)
Substitute y = x + 7 into (1)
x + 7 = x² + 2x + 7 ( subtract x + 7 from both sides )
0 = x² + x ← factor out x from each term
0 = x(x + 1)
Equate each factor to zero and solve for x
x = 0
x + 1 = 0 ⇒ x = - 1
Substitute these values into (3) for corresponding values of y
x = 0 → y = 0 + 7 = 7
x = - 1 → y = - 1 + 7 = 6
The solutions are
(- 1, 6 ) and (0, 7 )
Given :
On a coordinate plane,a curved line with 3 arcs, lab led f of x, crosses the x-axis at (negative 2,0), (negative 1,0), (1,0), and (3,0) and the y axis at (0, negative 6).
To find:
f when x = 0. i.e. f (0).
Solution:
since the graph has 3 arcs and 4 solutions, it can be visualized as the follows:
Between each solution, the function has to increase and decrease giving arcs in between.
1. One of the arcs is between (negative 2,0) and negative (1,0)
2. Second arc is between (negative 1,0) and (1,0)
-this arc cuts the y axis, since x= 0 lies between x= -1 & x=1-
3. Third arc is between (1,0) and (3,0)
Therefore only the 2nd arc cuts the y axis
It’s given that the curve cuts the y axis at (0, -6)
That is when x= 0, f(0) =-6
Therefore the value of f (0) is -6 only.
HOPED THIS HELPED LUV!!
A. undefined because the line is horizontal
What he has left in the bank is here :
(123.17 + 34.68) - 50 = 107.8
He still has $107.8 left in the bank and he has $50 in his pocket.
I hoped I helped!
