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faltersainse [42]
3 years ago
9

25. Michael is studying population changes in two

Mathematics
1 answer:
g100num [7]3 years ago
4 0

Answer: Average rates of change for Bird A is 0.045 and for Bird B is 3.816.

Step-by-step explanation: Through its graph, a function can be analyzed and be identified its attributes. Average Rate of Change is the ratio of change in the function values to the change of x-value, i.e., it is the slope of the function in a specific interval of x. With the Average it is possible to compare two function.

<u>Average Rate of Change</u>

<em><u>Bird A</u></em>:

For the interval [0,18]:

x₁ = 0 f(0) = 8.3

x₂ = 18 f(18) = 9.1

Average = \frac{f(18) - f(0)}{x_{2} - x_{1} }

Average = \frac{9.1 - 8.3}{18 - 0}

Average = 0.045

<em><u>Bird B</u></em>: y = 3.6(1.06)x

For the interval [0,18]:

x₁ = 0 y = 3.6(1.06)0 = 0

x₂ = 18 y = 3.6(1.06)18 = 68.7

Average = \frac{f(18) - f(0)}{x_{2} - x_{1} }

Average = \frac{68.7 - 0}{18 - 0}

Average = 3.816

The Average Rate for Change for Bird A is 0.045 and for Bird B is 3.816. This means that the population of Bird B increase in rate faster than the population of Bird A.

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The ratio of boys to girls in the 10th grade is 8 to 13. If there are 91 girls in 10th grade, then how many boys are there?
IRINA_888 [86]

Answer: There are 56 boys in the 10th grade

Step-by-step explanation:

Step 1

ratio of boys to girls in the 10th grade is 8 :13

Number of girls= 91

To find the number of boys, we first find the total number of boys and girls in the 10th grade

Step 2

Now the total ratio= 8 +13=21

Number of girls = ratio of girls/ total ratio  x  Total number of students

91=13/ 21  x  Total number of students

Total number of students =21 x 91 / 13  =147

Step 3

Therefore Number of boys =ratio of boys/ total ratio  x  Total number of student

8/21 x 147=56

6 0
3 years ago
Write and solve a system of linear​ equations: The larger of two numbers is 18 more than 5 times
Kryger [21]

Answer:

8 and - 2

Step-by-step explanation:

let x be the larger number and y the smaller , then

x = 5y + 18 → (1)

3x + 4y = 16 → (2)

substitute x = 5y + 18 into (2)

3(5y + 18) + 4y = 16 ← distribute parenthesis and simplify left side

15y + 54 + 4y = 16

19y + 54 = 16 ( subtract 54 from both sides )

19y = - 38 ( divide both sides by - 19 )

y = - 2

substitute y = - 2 into (1)

x = 5(- 2) + 18 = - 10 + 18 = 8

then larger number is 8 and smaller is - 2

8 0
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pashok25 [27]

Answer:

A is approximately 200.86 square units.

Step-by-step explanation:

3 0
3 years ago
Can a polynomial have a zero as a term
Mnenie [13.5K]

Answer:

No

Step-by-step explanation:

polynomial does not have any zero terms

7 0
3 years ago
How do I solve this problem
erma4kov [3.2K]
10√3 (-7 - √5)

10√3 × -7 + 10√3 × -√5

-70√3 + 10√3 × -√5

-70√3 - 10√3√5

-70√3 -10√3 × 5

-70√3 - 10√15

hope that helps, God bless!
6 0
3 years ago
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