Hi there!
The change of y-values is
- 15 - 22 = - 37
The change of x-values is
7 - - 8 = 7 + 8 = 15
Therefore, the slope of this line is
Answer:
The answer is: f(x) = -2x^2 - 4x + 30
Step-by-step explanation:
Given:
f(x)=-2(x-3)(x+5)
Solve (x-3)(x+5) first, then multiply by -2:
f(x) = -2[(x - 3)(x + 5)]
f(x) = -2[x^2 -3x + 5x - 15]
f(x) = -2[x^2 + 2x - 15]
f(x) = -2x^2 - 4x + 30
Hope this Helps!! Have an Awesome Day!! (-:
Answer:
47
Step-by-step explanation:
The number that should go after 23 is 47.
The pattern seems to be (n * 2) + 1, where n is the value of the previous number.
We start with the number 5:
5
(5 * 2) + 1 = 11
11
(11 * 2) + 1 = 23
23
(23 * 2) + 1 = 47
47
... and so on
The pattern should continue as follows.
Hope this helps!
Take the coefficient of the x-term, half it, then square that. add this to both sides
x² + 16x. coefficient of x is 16. half of 16 is 8. 8²=64
x² + 16x + 64 =64. this is your answer but to continue
x² + 16x + 64 = 64
(x+8)² = 64
x+8 = ✓64
x+ 8 = ±8
x = 0 or -16

is true if either of

or

is true. We know

is true, which enough to say that

is also true.