Hello :
<span> F(x) = x + 2 and G(x) = 3x + 5
</span>(F× G) (x) =F(x) × G(x) = (x+2)(3x+5) = 3x²+5x+6x+10
(F× G) (x) = 3x² +11x+10
Answer:
16
Step-by-step explanation:
The constant in a perfect square trinomial is the square of half the coefficient of the linear term.
(x +a)² = x² +2ax +a²
For 2a=-8, a=-4 and a² = 16. The constant 16 must be added:
x² -8x +16 = 7+16 . . the left side is a perfect square trinomial
(x -4)² = 23 . . . . . . . the left side is a perfect square
Step-by-step explanation:
The value of k in the equation g(x) = f(x) + k comes out to be 8.
How the vertical shifting of a graph takes place?
If the graph of a function f(x) is shifted vertically by k units, f(x) becomes f(x)+k.
From the diagram, we can say that graph of f(x) has been shifted vertically by 8 units
If we shift f(x) vertically by 8 units f(x) becomes f(x)+8 and also coincides with the graph of g(x).
So, g(x) = f(x) + 8........(1)
Comparing (1) and g(x) = f(x) + k, we get k=8.
Hence, the value of k in the equation g(x) = f(x) + k comes out to be 8.
Answer:
x = 415.05
Step-by-step explanation:
2(x − 412) = -6.1
=> x - 412 = -6.1/2
=> x - 412 = 3.05
=> x = 3.05 + 412
=> x = 415.05
1. 78
2. 3
Please make sure to put the correct measurement letters too.
