Answer:
D. domain: (-infinity, infinity); range: [1, infinity)
Step-by-step explanation:
The domain is the values that x can take
The domain is (-infinity, infinity)
The range is the values that y can take
absolute value is 0 or greater
cos x is from -1 to 1
The minimum value is when x=0
The smallest value is 1 and the largest is infinity
Answer:
angle 2 = 37º
Step-by-step explanation:
When two lines intersect they make vertical angles, which are angles directly across from another. Vertical angles are always congruent.
Answer:
5n-8
Step-by-step explanation:
Because this is an arithmetic progression, there is simply an addend that is being added to every number. Because that is 5, the expression, for now, would be 5n. However, the progression does not start at 0, so we will have to subtract 3, and then it would be 5n - 3. We're still not at the answer; this is because the first term starts at 1, not 0. We will have to account for that, so subtract the coefficient, or 5, from the whole expression. That would be 5n - 8, and that would be the answer.
Answer:
x = -4
Step-by-step explanation:
3x + 5 = x - 3
Subtract x from each side
3x+5-x = x-3-x
2x+5 = -3
Subtract 5 from each side
2x+5-5 = -3-5
2x = -8
Divide each side by 2
2x/2 = -8/2
x = -4
Y/-2 + 5 = 13
y/-2 = 13 - 5 = 8
y = -2(8) = -16
y = -16