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choli [55]
3 years ago
9

Give the rule for translating a point 4 units left and 8 units up

Mathematics
1 answer:
makvit [3.9K]3 years ago
8 0

Answer:

(x-4,y+8)

<em></em>

Step-by-step explanation:

Given

Point = (x,y)

Required

Translate

  • 4 units left
  • 8 units up

<u>8 units up</u>

The general rule for up translation is;

f'(x,y) = f(x,y+h)

Where h is the unit translated up

In this case:

h = 8

So, we have:

f'(x,y) = f(x,y+8)

<u>4 units left</u>

The general rule for up translation is;

f'(x,y) = f(x-b,y)

Where b is the unit translated left

In this case:

b = 4

So, we have:

f"(x,y) = f(x -4,y+8)

<em>Hence, the rule of translation is: (x-4,y+8)</em>

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An economic model predicts that the supply, s, and the demand, d, for a new product can be estimated using the lines on the grap
Stells [14]

Answer:

the answer is 3

Step-by-step explanation:

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2 years ago
In 2013, the moose population in a park was measured to be 5,100. By 2018, the population was measured again to be 5,200. If the
natka813 [3]

Answer:

P(t) = 5100e^{0.0039t}

Step-by-step explanation:

The exponential model for the population in t years after 2013 is given by:

P(t) = P(0)e^{rt}

In which P(0) is the population in 2013 and r is the growth rate.

In 2013, the moose population in a park was measured to be 5,100

This means that P(0) = 5100

So

P(t) = 5100e^{rt}

By 2018, the population was measured again to be 5,200.

2018 is 2018-2013 = 5 years after 2013.

So this means that P(5) = 5200.

We use this to find r.

P(t) = 5100e^{rt}

5200 = 5100e^{5r}

e^{5r} = \frac{52}{51}

\ln{e^{5r}} = \ln{\frac{52}{51}}

5r = \ln{\frac{52}{51}}

r = \frac{\ln{\frac{52}{51}}}{5}

r = 0.0039

So the equation for the moose population is:

P(t) = 5100e^{0.0039t}

5 0
3 years ago
The sum of two numbers is 150 the ratio of the same number is 3:2 find the bigger number
Paladinen [302]
3x-\ bigger\ number\\&#10;2x-\ smaller\ number\\\\&#10;3x+2x=150\\\\&#10;5x=150\ \ \ | divide\ by\ 5\\\\&#10;x=30\\\\&#10;3x=3*30=90\\\\ Bigger\ number\ is\ 90.
5 0
3 years ago
I need help ASAP
Dima020 [189]

Answer:

20

Step-by-step explanation:

x/2+15=25

x/2=10

x=20

Please mark as Brainliest! :)

Have a nice day.

3 0
3 years ago
Read 2 more answers
In tossing four fair dice, what is the probability of tossing, at most, one 3
11Alexandr11 [23.1K]

<u>Answer- </u>

In tossing four fair dice, the probability of getting at most one 3 is 0.86.

<u>Solution-</u>

The probability of getting at most one 3 is, either getting zero 3 or only one 3.

P(A) =The \ probability \ of \ getting \ zero \ 3 =(\frac{5}{6})(\frac{5}{6})(\frac{5}{6})(\frac{5}{6})=\frac{625}{1296} =0.48                    ( ∵ xxxx )

P(B) = The \ probability \ of \ getting \ only \ one \ 3 =(4)(\frac{1}{6})(\frac{5}{6})(\frac{5}{6})(\frac{5}{6}) = 0.38                    ( ∵ 3xxx, x3xx, xx3x, xxx3 )

P(Atmost one 3) = P(A) + P(B) = 0.48 + 0.38 = 0.86

7 0
3 years ago
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