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Talja [164]
3 years ago
9

The graph of y=|x|y=∣x∣y, equals, vertical bar, x, vertical bar is shifted down by 999 units.

Mathematics
2 answers:
frosja888 [35]3 years ago
7 0

Answer:

y =  |x| -9

Step-by-step explanation:

The base function is given as

y =  |x|

This graph opens up and has its vertex at the origin.

When we shift the graph of this function down by 9 units, its vertex is now at (0,-9)

The equation of this new graph is

y =  |x| -9

Temka [501]3 years ago
4 0

Answer:

y=∣x∣−9

Step-by-step explanation:

I did it on khanacademy and i got it right

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3 years ago
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An internet service provider changes an initial fee of $65 and $18 per hour of labor for office internet installation. Which equ
mart [117]

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D

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65 is your "b" value in this linear equation

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University degree requirements typically are different for Bachelor of Science degrees and Bachelor of Arts degrees. Some studen
ira [324]

Answer:

A. 0.1

B. 0.8

C. 0.5

Step-by-step explanation:

Given:

P(Science) = 0.3

P(Arts) = 0.6

P(none) = 0.2

From the above, it is understood that the events are independently events; meaning that the probability that a students gets a Bachelor of Science degree does not affect the probability of the same student getting a Bachelor of Arts degree.

A. The probability that a student gets a Bachelor of Science and Bachelor of Arts degree

Let P(Arts and Science) = the probability that a student gets a Bachelor of Arts degree and Bachelor of Science degree

For independent events,

P(A) + P(B) - P(A and B) + P(none)= 1

If we translate the above formula to suit our needs, we have something like this

P(Science) + P(Arts) - P(Arts and Science) + P(none) = 1

Or

P(Arts) + P(Science) - P(Arts and Science) + P(none) = 1

From this, we have

0.3 + 0.6 - P(Arts and Science) + 0.2 = 1

1.1 - P(Arts and Science) = 1

-P(Arts and Science) = 1 - 1.1

-P(Arts and Science) = -0.1

P(Arts and Science) = 0.1

B. The probability that a student gets a Bachelor of Science or Bachelor of Arts degree

For independent events

P(A or B) = P(A) + P(B) - P(A and B)

So, P(Arts or Science) = P(Arts) + P(Science) - P(Arts and Science)

P(Arts or Science) = 0.3 + 0.6 - 0.1

P(Arts or Science) = 0.8

C. The probability that a student gets only Bachelor of Arts

P(A only) = P(A) - P(A and B)

P(Arts) = P(Arts) - P(Arts and Science)

P(Arts) = 0.6 - 0.1

P(Arts) = 0.5

6 0
3 years ago
Consider a tank used in certain hydrodynamic experiments. After one experiment the tank contains 200 L of a dye solution with a
In-s [12.5K]

Answer: t= 460.52 minutes

Step-by-step explanation:Q'=Q/100

Q'= rate in and out of water

Finding the differential equation

Let Q'(t)= The quantity of dye in the tank for t time

But rate in=0 Q/200 ×2=Q'

Q'/Q=-1/100

Dividing by Q gives

Ln/Q/ + c = -1/100 + c1

Integrating both sides gives

Ln/Q/ = -(1/100)t + c2

But c+c1=C2= A constant

Q=C2e(-t/100)

200e-(t/100)

t= ln200

t=460.52minutes

4 0
3 years ago
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