What are the next three terms in the sequence 2, -4, 8, -16, 32, ...? A. -128, 256, -512 B. 160, 320, 640 C. 160, -320, 640 D. -
miv72 [106K]
Common ratio is -2
next 3 terms :
32 * -2 = -64
-64 * -2 = 128
128 * -2 = -256
answer is D
Answer:
C: -|x| + 3
Step-by-step explanation:
From the graph, we see that when y = 2, x is either +1 or -1
Also,when y = 1, x = +2 or -2
Thus,we can say that;
y = (-x) + 3 or -(x - 3)
So, we can write this in absolute value form as; y = -|x| + 3
Since B is perpendicular to A. We can say that the gradient of B will be -1/7 (product of the gradients of 2 perpendicular lines has to be -1).
Now we know that the equation for B is y=-(1/7)x + c with c being the y intercept.
Since the point isnt specified in the question, we could leave the equation like this.
But if there is a given point that B passes through, just plug in the x and y values into their respective places and solve to find c. That should give you the equation for b.
Now, to find the solution of x, we have 2 equations:
1) y=7x+12
2)y=-(1/7)x+c
In this simultaneous equation we see that y is equal to both the expressions. So,
7x+12=-(1/7)x+c
Now, since the value of c is not found, we cannot actually find the value of x, but if we would find c, we could also find x since it would only be a matter of rearranging the equation.
And there you go, that is your solution :)
Answer: 36
Step-by-step explanation:
8-2+30
6+30
36
