32 is closer to 33 than it is to 40
Answer:- A reflection of the line segment across the line y = –x .
Explanation:-
A reflection over the line y = -x, the x-coordinate and y-coordinate interchange their places and they are negated (the signs are changed).
Given :- A line segment has endpoints at (–1, 4) and (4, 1) such that it reflects produce an image with endpoints at (–4, 1) and (–1, –4).
(-1, 4)→(-4, 1) and
(4, 1)→(-1, -4)
Thus this shows a reflection of the line segment across the line y = –x.
Answer:
about 78 years
Step-by-step explanation:
Population
y =ab^t where a is the initial population and b is 1+the percent of increase
t is in years
y = 2000000(1+.04)^t
y = 2000000(1.04)^t
Food
y = a+bt where a is the initial population and b is constant increase
t is in years
b = .5 million = 500000
y = 4000000 +500000t
We need to set these equal and solve for t to determine when food shortage will occur
2000000(1.04)^t= 4000000 +500000t
Using graphing technology, (see attached graph The y axis is in millions of years), where these two lines intersect is the year where food shortages start.
t≈78 years
Answer:
S=32 D=34
Step-by-step explanation:
{-----------------VARIABLES------------}
D=Drake
S=Stephanie
TA=Total Age
{----------------GIVEN/EQUATIONS-------------}
D=S+2
TA=D+2s
{--------------SUB/SOLVE---------------}
98=D+2S
SUB FOR D
98=3S+2
96=3S
S=32
D=S+2
D=34
37x = 12 to log form is log37(12)
log 12/log 37 = 0.68
