Given:
The two functions are:
To find:
The statement that best compares the graph of g(x) with the graph of f(x).
Solution:
The horizontal stretch is defined as:
...(i)
If 
, the function f(x) is horizontally stretched by factor 
.
If 
, the function f(x) is horizontally compressed by factor .
We have,
Using these functions, we get
...(ii)
On comparing (i) and (ii), we get
Since , the function f(x) is horizontally stretched by factor 
.
Hence, the correct option is D.
Answer: False
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Explanation:
I'll use x in place of p.
The original equation 10x^2-5x = -8 becomes 10x^2-5x+8 = 0 after moving everything to one side.
Compare this to ax^2+bx+c = 0
We have
Plug those three values into the discriminant formula below
d = b^2 - 4ac
d = (-5)^2 - 4(10)(8)
d = 25 - 40*8
d = 25 - 320
d = -295
The discriminant is negative, which means we have no real solutions. If your teacher has covered complex or imaginary numbers, then you would say that the quadratic has 2 complex roots. If your teacher hasn't covered this topic yet, then you'd simply say "no real solutions".
Either way, this quadratic doesn't have exactly one solution. That only occurs when d = 0. Therefore, the original statement is false.
X^2 + yz......x = 5, y = -3, z = 2
now we sub
5^2 + (-3)(2) =
25 + (-6) =
25 - 6 =
19
Answer:
The answer to your question is (2)(3)(11)
Step-by-step explanation:
Data
154
Process
1.- Find the prime factors of 154, starting with 2, then, 3, 5, 7, etc
154 2
77 7
11 11
1
2.- Write 154 as a composition of prime factors
154 = (2)(7)(11)
3.- Conclusion
The prime factors of 154 are 2, 3 and 11
Answer:
<h2>A . 6</h2>
Step-by-step explanation:
