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andriy [413]
3 years ago
5

Which graph represents a line with a slope of and a y-intercept equal to that of the line y = x – 2?

Mathematics
1 answer:
Sindrei [870]3 years ago
8 0

Answer:

(0, -2), (1, -1), (2,0)

Step-by-step explanation:

 should be along those lines

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The population of rabbits on an island is growing exponentially. In the year 1991, the population of rabbits was 9100, and by 19
lisabon 2012 [21]

Answer:

39,223\ rabbits

Step-by-step explanation:

we know that

The equation of a exponential growth function is given by

y=a(1+r)^x

where

y is the population of rabbits

x is the number of years since 1991

a is the initial value

r is the rate of change

we have

a=9,100

substitute

y=9,100(1+r)^x

For the year 1998

the number of years is equal to

x=1998-1991=7 years

so

we have the ordered pair (7,18,000)

substitute in the exponential equation and solve for r

18,000=9,100(1+r)^7

(18,000/9,100)=(1+r)^7

elevated both sides to 1/7

(1+r)=1.1023

r=0.1023

therefore

y=9,100(1+0.1023)^x

y=9,100(1.1023)^x

Predict the population of rabbits in the year 2006

Find the value of x

x=2006-1991=15 years

substitute the value of x in the equation

y=9,100(1.1023)^{15}

y=39,223\ rabbits

6 0
2 years ago
Day 2- Real World- Midpoint
nevsk [136]

Answer:

Point of the flower garden  R ( 11, 44 )

Step-by-step explanation:

Let´s call   P (  3, 14 ) The center of the herb garden, and Q ( 7 , 29 ) the birdbath point

Differences in coordinates of these two points are:

x axis        7 - 3   = 4

y axis     29 - 14  = 15

Then the point Q ( x , y ) will be at:  Q ( 11, 44)

x axis    x = 11 because    7 + 4 = 11 means that the coordinate 7 is just halfway way between coordinates (x)  3 and 11  ( 4 above 3, and 4 below 11)

Reasoning the same way we conclude y = 44 in this case 29 is just halfway between coordinates  (y) 14 and 44 ( 15 above 14 and 15 below 44)

We can probe getting distance d₁  between P and Q  and d₂ distance between Q and R as:

d₁ = √ (7-3)² + ( 29-14)²

d₁ = √ 16 + 225

d₂ = √ (11 - 7)² +  ( 44 - 29)²

d₂ = √ 16 + 225

3 0
3 years ago
Total profit P is defined as total revenue R -= total cost​ C, and is given by the function Upper P left parenthesis x right par
Goshia [24]

Answer:

Step-by-step explanation:

P(x) = R(x) - C(x)

Where,

P(x) = Total profit

R(x) = Total revenue

C(x) = Total cost

R(x)equals150.97 x minus 0.3 x squared

R(x) = 150.97x - 0.3x^2

Upper C left parenthesis x right parenthesis equals 4529.10 plus 0.5 x squared.

C(x) = 4529.10 + 0.5x^2

P(x) = R(x) - C(x)

= (150.97x - 0.3x^2) - ( 4529.10 + 0.5x^2)

= 150.97x - 0.3x^2 - 4529.10 - 0.5x^2

= 150.97x - 0.8x^2 - 4529.10

P(x) = -0.8x^2 + 150.97x - 4529.10

4 0
3 years ago
There are 32 students in the cafeteria, 12 girls and 20 boys. What is the ratio
tiny-mole [99]

Answer:

A

Step-by-step explanation:

12/4=3

20/4=5

5 0
3 years ago
Read 2 more answers
What multiple of 7 is also a factor of 7
enyata [817]
<span>The answer is 7. Seven is a prime number, which means that its multiples are 1 and itself (7): 7 = 1 * 7. To find out which one is a factor of 7, we should divide each of them by 7. 1/7 will be a decimal number and 7/7 = 1, which is a whole number. Thus, 7 will be a multiple of 7 and also a factor of 7.Hope this helps. Let me know if you need additional help!</span>
7 0
3 years ago
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