Answer:
C)
Step-by-step explanation:
Note that one of the lines is simply y=-1 for any x, so we can dismiss the only answer without y=-1. That rejected answer is A)
Now let's notice, that the other line is decreasing y when increasing x. That tells us that in the equation y = ax + b, a has to be negative. This brings us to reject option D).
What is the y of that line for x = 0? Because y = ax + b, for x = 0 we will get the value of b. This is called the intercept. The line is at y=4 for x=0, so we know that the b in the equation must be positive 4. This fits answer C, but rejects answer B). And so, we have found that C) is the only possible answer.
Answer:
6.8, 26.2, -7.8, -10.2, 2.6, -12.9
Step-by-step explanation:
20. is 6.78232 Rounded answer is 6.8
21. 26.172504657 rounded to the nearest tenth is 26.2
22. is -7.8102496759 rounded to the nearest tenth is -7.8
23. -10.246950766 rounded to the nearest tenth is -10.2
24. is 2.5980762114 rounded to the nearest tenth is 2.6
25. -12.942179106 rounded to nearest tenth is -12.9
Answer: Kia has ten times more money than Elena. Kia has more money that Elena.
Troy has one-tenth of the money Elena has. Troy has less money than Elena.
Step-by-step explanation:
C. f(x) = – 2 cos 6x + 1
Start by determining the amplitude. Since we've deduced the amplitude is 2, the equation can include either a positive or negative 2 (since amplitude measures absolute value).
Next is the period. The equation for period P is P = (2pi)/b. If P is pi/3, then
pi/3 = (2pi)/b. Thus your b value should be 6.
Finally, the midline would be given by + 1 since adding a unit shifts the function upwards. This means that instead of the highest y value being 2 and the lowest -2, instead you'd have values of 3 and -1.
(3 – 1)/2 = 1 (midpoint theory).
Answer:
C = 16π ft
Step-by-step explanation:
If we know the area
A = pi r^2
64 pi = pi r^2
Divide each side by pi
64 = r^2
Take the square root of each side
8 = r
The radius is 8
Now we can find the circumference
C = 2 *pi*r
C = 2*pi*8
C = 16pi
