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EastWind [94]
3 years ago
9

Which answer does NOT correctly describe the graph of y = 5x + 12 a. The line has a constant rate of change. b. The line crosses

the y-axis 12 units above the origin. c. The graph contains the point (5, 12). d. The slope of the line can be written as 5151.
Mathematics
2 answers:
DENIUS [597]3 years ago
8 0

Answer:

c is incorrect


Step-by-step explanation:


larisa86 [58]3 years ago
3 0
C is incorrect since the Y-intercept hits the y axis at (0,12) so it can't be possible to hit (5,12)
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Sin L= 3/5

Tan N= 3/5

Cos L=4/5

Sin N=4/5

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How.to find domain and.range of.a.function?
mestny [16]
Depends greatly on the type of function.
Some things to keep in mind:
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But a simpler explanation, just find out what values x can be for the given function, and what y can be.
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Graphs are helpful
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8 0
3 years ago
A solution initially contains 200 bacteria. 1. Assuming the number y increases at a rate proportional to the number present, wri
GuDViN [60]

Answer:

1.\frac{dy}{dt}=ky

2.543.6

Step-by-step explanation:

We are given that

y(0)=200

Let y be the number of bacteria at any time

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\frac{dy}{dt}\proportional y

\frac{dy}{dt}=ky

Where k=Proportionality constant

2.\frac{dy}{y}=kdt,y'(0)=100

Integrating on both sides then, we get

lny=kt+C

We have y(0)=200

Substitute the values then , we get

ln 200=k(0)+C

C=ln 200

Substitute the value of C then we get

ln y=kt+ln 200

ln y-ln200=kt

ln\frac{y}{200}=kt

\frac{y}{200}=e^{kt}

y=200e^{kt}

Differentiate w.r.t

y'=200ke^{kt}

Substitute the given condition then, we get

100=200ke^{0}=200 \;because \;e^0=1

k=\frac{100}{200}=\frac{1}{2}

y=200e^{\frac{t}{2}}

Substitute t=2

Then, we get y=200e^{\frac{2}{2}}=200e

y=200(2.718)=543.6=543.6

e=2.718

Hence, the number of bacteria after 2 hours=543.6

4 0
4 years ago
Paul biked 55 miles in 10 hours . what is the unit rate of miles per hour
irinina [24]

Answer:

5.5 miles per hour

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Since he travels a total of 55 miles in 10 hours, you need to divide.

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3 0
3 years ago
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Answer:

80%

Step-by-step explanation:

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3 years ago
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