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Vlada [557]
3 years ago
14

Choose the most convenient method to graph the line x - y = 5.

Mathematics
2 answers:
givi [52]3 years ago
7 0
The most convenient method I would choose is slope-intercept form, which is y=mx+b. So, make this equation equal in terms of y.

x-y=5
subtract x from both sides
-y = 5 - x
multiply both sides by -1 so y isn't negative
y = 5 + x
5 +x is the same thing as x+5, so
y = x+5

Now, you can easily sub in any number for x and you can easily get y. Here are some points you can plot:

(0, 5), (1, 6), (2, 7), (3, 8) and the list goes on. I hope this helped!
dmitriy555 [2]3 years ago
7 0

Answer:

Step-by-step explanation:

x - y = 5

Write in slope-intercept form: y = mx +b

-y = -x + 5

Multiply the entire equation by(-1)

y = x - 5

When x = 0 ; y = 0 - 5 = -5    ;              (0,-5)

When x = 1  ; y = 1 - 5 = - 4     ;              (1 , -4)

When x = 4 ; y =  4 - 5 = -1      ;              (4 , -1)

When x = -1 ; y = -1 - 5 = - 6      ;           (-1,-6)

Plot the points and join the points

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A bacterial culture starts with 500 bacteria and doubles in size every half-hour.
tekilochka [14]

Answer:

a). 32000

b). T_{t}=500\times 4^{t}

c). 1259

Step-by-step explanation:

Growth of a bacteria is always exponential. Therefore, population of the bacteria is represented by the the geometric sequence.

Sum of the bacterial population after t hours will be represented by

T_{n}=ar^{n}

Where a = population at the start

r = ratio with the population is growing

n = time or duration of the growth in one hour

a). Population of 500 bacteria gets doubled after half an hour.

Or gets 4 times after an hour

This sequence will have a common ratio r = 4

and initial population a = 500

Therefore, population of the bacteria after 3 hours will be

T_{3}=500\times 4^{3}

T_{3}=32000  

b). After t hours number of bacteria will be represented by

T_{t}=500\times 4^{t}

c). We have to calculate the population after 40 minutes.

That means duration 't' = 40 minutes of \frac{2}{3} hours

By the formula,

T_{\frac{2}{3}}=500\times 4^{\frac{2}{3}}

T_{\frac{2}{3}}=1259.92 ≈ 1259

Therefore, number of bacteria after 40 minutes will be 1259.

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