Answer:
32 seconds
Step-by-step explanation:
For some number of seconds (s), Tess's essay length (t) will be ...
t = 42 +1.3s
and Margo's essay length (m) will be ...
m = 122 -1.2s
We will have t > m when ...
t > m
42 +1.3s > 122 -1.2s
2.5s > 80 . . . . . . . . add 1.2s-42
s > 32 . . . . . . . . . . . divide by 2.5
After 32 seconds, Tess's essay will exceed Margo's in length.
Answer:
One solution (-1,2)
Step-by-step explanation:
Since these two linear equations have different slopes, different y-intercepts, and are indeed linear, these equations will only have one crossing when graphed, and hence one solution.
To find that solution, we can simply set the equations equal to each other.
y = -x + 1
y = 2x + 4
-x + 1 = 2x + 4
-3 = 3x
-1 = x
Now plug that value back into one of the equations:
y = -x + 1
y = -(-1) + 1
y = 2
So now you know the crossing for these two equations occurs at (-1,2).
Cheers.
Answer:
y=2x-2
Step-by-step explanation:
hope that helps
Answer:
27
Step-by-step explanation:
The rule will be
Ni=(i-1)*5+2
- i=1 → N=(1–1)*5+2=0*5+2=0+2=2
- i=2 → N=(2–1)*5+2=1*5+2=5+2=7
- i=3 → N=(3–1)*5+2=2*5+2=10+2=12
- i=4 → N=(4–1)*5+2=3*5+2=15+2=17
- i=5 → N=(5–1)*5+2=4*5+2=20+2=22
- i=6 → N=(6–1)*5+2=5*5+2=25+2=27
________________
Learn more about arithmetic sequences:
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Divide $55.65 by 7 to get the cost of 1 key chain ($7.95). Then multiply the cost of 1 by 12 and get $95.40
