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sveta [45]
2 years ago
13

Give an algebraic representation of these datax|y1|14|77|1310|19​

Mathematics
1 answer:
Zolol [24]2 years ago
6 0

Answer:

y = 2x - 1

Step-by-step explanation:

Slope

for every increase of 3 in x

there's an increase of 6 in y

m = rise/run

m = 6/3

m = 2

----------------------------

Slope intercept form is

y = mx + b

To find "b" plug in m = 2 and any of the given points

using (1, 1)

1 = 2(1) + b

1 = 2 + b

b = -1

The equation is

y = 2x - 1

You might be interested in
. A triangle has side lengths of 8, 7, and 14. To the nearest tenth of a degree find the measure of the angle opposite the side
4vir4ik [10]

Given:

The measure of three sides of a triangle are 8, 7 and 14.

To find:

The measure of the angle opposite the side of length 8.

Solution:

According to the Law of Cosine:

\cos A=\dfrac{b^2+c^2-a^2}{2bc}

Let a=8, b=7 and c=14, then by using Law of Cosine, we get

\cos A=\dfrac{7^2+14^2-8^2}{2(7)(14)}

\cos A=\dfrac{49+196-64}{196}

\cos A=\dfrac{181}{196}

Taking cos inverse on both sides.

A=\cos^{-1}\dfrac{181}{196}

A=22.561328

A\approx 22.6

Therefore, the measure of the angle opposite the side of length 8 is 22.6 degrees.

7 0
3 years ago
Suppose a population grows according to the logistic equation but is subject to a constant total harvest rate of H. If N(t) is t
Elenna [48]

Answer:

a) Equilibrium point : [ 947, 53 ]

b) N = 947 is stable equilibrium, N = 53  is unstable equilibrium

c) N0, the population will not go extinct

Step-by-step explanation:

a)

Given that;

r = 2, k = 1000, H = 100

dN/dT = R(1 - N/k)N - H

so we substitute

dN/dt = 2( 1 - N/1000)N - 100

now for equilibrium solution, dN/dt = 0

so

2( 1 - N/1000)N - 100 = 0

((1000 - N)/1000)N = 50

N^2 - 1000N + 50000 = 0

N = 1000 ± √(-1000)² - 4(1)(50000)) / 2(1)

N = 947.213 OR 52.786

approximately

N = 947 OR 53

Therefore Equilibrium point : [ 947, 53 ]

b)

g(N) = 2( 1 - N/1000)N - 100

= 2N - N²/500 - 100

g'(N) = 2 - N/250

SO AT 947

g'(N) = g'(947) =  2 - 947/250 = -1.788 which is less than (<) 0

so N = 947 is stable equilibrium

now AT 53

g'(N) = g"(53) = 2 - 53/250 = 1.788 which is greater than (>) 0

so N = 53  is unstable equilibrium

The capacity k=1000

If the population is less than 53 then the population will become extinct but since the capacity is equal to 1000 then the population will not go extinct.

6 0
3 years ago
Where is the south of Asia​
yawa3891 [41]

Answer:

The southern asia are includes Afghanistan, India, Pakistan, Bangladesh, Sri Lanka, Nepal, Bhutan and Maldives as the constituent countries.

hope this helps as the south of asia is hard to describe, that is why I included a map.

Step-by-step explanation:

4 0
3 years ago
A 48 fluid ounce container orange juice cost $2.40. 60 fluid ounce container of orange juice cost $3.60. Which is the better buy
Allushta [10]
48 fluid ounce it is $0.40 per fl oz, while the other one is $0.60 per fl oz
4 0
3 years ago
Which of the following statements demonstrates unit rate?
Ber [7]
The answer would be B.

Unit rate is something per time unit or other unit.

Hope this helps!
4 0
2 years ago
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