Answer:
any number > than -13 and less than zero
Step-by-step explanation:
Answer: y = -2x - 5
Step-by-step explanation:
The condition for parallelism is that m1 = m2 ie, the gradient of the two lines must be equal.
from the equation given,
y = -2x + 8, m1 = -2, therefore m2 = -2. Since the two line passes through the coordinate of (-1, -3 ) , we substitute for x and y in the equation of a line
y = mx + c to get the value of , the y - intersect.
-3 = -2 x -1 + c
-3 = 2 + c
solve for c
c = -3 - 2
c = -5.
now , to have the equation of the line , we put c = -7 into the equation
y = mx + c
y = -2x - 5
Therefore the equation of the line parallel to the line
y = -2x + 8 is
y = -2x - 7
Answer: 6 + n = 6n
Step-by-step explanation:
Answer: She would have to burn between 220 and 240 calories per minute to have a calorie burn rate between those of Martin and Paul.
Step-by-step explanation:
Martin:
360 calories / 30 min = 12 calories/min
Paul:
165 calories / 15 min = 11 calories/min
Kara:
Needs to burn between 11 and 12 calories/min, so we'll calculate the range:
11 calories/min x 20 min = 220 calories (minimum # calories she can burn)
12 calories/min x 20 min = 240 calories (maximum # calories she can burn)
Answer: options A, B and C are correct
Step-by-step explanation:
Ray's daily pay,P in dollars is given by the function, p(h) = 10h with h representing the number of hours that he worked on that day. If he worked c hours on Thursday and this is 3 hours more than he worked on Friday, then the following statement is true. We substitute c and c-3 for Thursday and Friday into the given function, p(h) = 10h
A) 10c -3 represents Ray's pay in dollars on Friday.
B) 10c represents Ray's pay in dollars on Thursday.
C) p(c ) - p(c-3) represents how much more Ray's pay was on Thursday than on Friday