1. Do they match? No
How do you know? When substituted y = 3(2) - 4 is 2
y = 3(4) - 4 is 8
y = 3(8) - 4 is 20 not 14. So the table isn’t fully correct.
2. Do they match? No
How do you know? Because it says she walks UP the stairs not down. So -2 doesn’t make sense.
3. Do they match? Yes
How do you know? 0 means that the pile didn’t start with 6 so when you add 3 to 0, it’s 3. (duh lol)
On day 1, it starts with 6, (1)(6) = 6, and then they added 3 rocks, so it’s 9.
Day 2, twice as many rocks, so it starts with 12 now. + 3 is 15.
Day 3 starts with 18 rocks now. + 3 is 21.
Answer:
q = -8, k = 2.
r = -6.
Step-by-step explanation:
f(x) = (x - p)^2 + q
This is the vertex form of a quadratic where the vertex is at the point (p, q).
Now the x intercepts are at -6 and 2 and the curve is symmetrical about the line x = p.
The value of p is the midpoint of -6 and 2 which is (-6+2) / 2 = -2.
So we have:
f(x) = 1/2(x - -2)^2 + q
f(x) = 1/2(x + 2)^2 + q
Now the graph passes through the point (2, 0) , where it intersects the x axis, therefore, substituting x = 2 and f(x) = 0:
0 = 1/2(2 + 2)^2 + q
0 = 1/2*16 + q
0 = 8 + q
q = -8.
Now convert this to standard form to find k:
f(x) = 1/2(x + 2)^2 - 8
f(x) = 1/2(x^2 + 4x + 4) - 8
f(x) = 1/2x^2 + 2x + 2 - 8
f(x) = 1/2x^2 + 2x - 6
So k = 2.
The r is the y coordinate when x = 0.
so r = 1/2(0+2)^2 - 8
= -6.
Answer:
x=5
Step-by-step explanation:
change to x=12-7
subtract
x=5
Answer:
the answer would be 180 degrees
Hope this helps :)
Step-by-step explanation:
The explanation is on the board just tell me if you have questions
