Answer:
f(-3) = -20
Step-by-step explanation:
We observe that the given x-values are 3 units apart, and that the x-value we're concerned with is also 3 units from the first of those given. So, a simple way to work this is to consider the sequence for x = 6, 3, 0, -3. The corresponding sequence of f(x) values is ...
34, 10, -8, ?
The first differences of these numbers are ...
10 -34 = -24
-8 -10 = -18
And the second difference is ...
-18 -(-24) = 6
For a quadratic function, second differences are constant. This means the next first-difference will be ...
? -(-8) = -18 +6
? = -12 -8 = -20
The value of the function at x=-3 is -20.
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The attachment shows using a graphing calculator to do a quadratic regression on the given points. The graph can then be used to find the point of interest. There are algebraic ways to do this, too, but they are somewhat more complicated than the 5 addition/subtraction operations we needed to find the solution. (Had the required x-value been different, we might have chosen a different approach.)
Answer:
The system has exactly one solution where x = 0 and y = -3.
Step-by-step explanation:
-6x + y = -3
7x - y = 3
(7x - 6x) + (y - y) = 3 - 3
x + 0 = 0
x = 0
7(0) - y = 3
0 - y = 3
-y = 3
y = -3
-6(0) + y = -3
0 + y = -3
y = -3
So, the system has exactly one solution where x = 0 and y = -3.
Hope this helps!
Answer: B and D
Step-by-step explanation:
B=-2
D=2
The negative and positive signs cancel out, leaving you with zero.
Ex: you take two steps back, but then you take two steps forward so you're back where you started (0).
Hey I don’t know much of this but I really recommend you to re ask this question but choose the other option to talk to an expert :)
Answer:
R = 7.71 ohms
Step-by-step explanation:
By ohm's law: R= V/I
where, R = resistance of wire, V = potential difference, I = electric current
Given: V = 54 and I = 7 A
Plug in the above values in the ohm's law, we get
R = 54 V/7 A
R = 7.71 ohms
Hope this will helpful.
Thank you.