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3 years ago

10x + 9y=0 8x + 18y=0

Mathematics

1 answer:

Luba_88 [7]3 years ago

3 0

Answer:

x=0 y=0

Step-by-step explanation:

multiple the first equation by 2

after subtract equation 2 from 1

after getting x you substitute the value of x in any of the equation for your y

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When a breeding group of animals is introduced into a restricted area such as a wildlife reserve, the population can be expected

jasenka [17]

Answer:

A. Initially, there were 12 deer.

B. <em>N(10)</em> corresponds to the amount of deer after 10 years since the herd was introducted on the reserve.

C. After 15 years, there will be 410 deer.

D. The deer population incresed by 30 specimens.

Step-by-step explanation:

$N=\frac{12.36}{0.03+0.55^t}$

The amount of deer that were initally in the reserve corresponds to the value of N when t=0

$N=\frac{12.36}{0.33+0.55^0}$

$N=\frac{12.36}{0.03+1} =\frac{12.36}{1.03} = 12$

A. Initially, there were 12 deer.

B. $N(10)=\frac{12.36}{0.03 + 0.55^t} =\frac{12.36}{0.03 + 0.0025}=\frac{12.36}{y}=380$

B. <em>N(10)</em> corresponds to the amount of deer after 10 years since the herd was introducted on the reserve.

C. $N(15)=\frac{12.36}{0.03+0.55^15}=\frac{12.36}{0.03 + 0.00013}=\frac{12.36}{0.03013}= 410$

C. After 15 years, there will be 410 deer.

D. The variation on the amount of deer from the 10th year to the 15th year is given by the next expression:

ΔN=N(15)-N(10)

ΔN=410 deer - 380 deer

ΔN= 30 deer.

D. The deer population incresed by 30 specimens.

8 0

3 years ago

Solve the equation by completing the square. Round to the nearest hundredth if necessary. x2 + 2x = 17

yawa3891 [41]

--------------------------------------------------------
Equation Given
--------------------------------------------------------
x² + 2x = 17

--------------------------------------------------------
Add the constant to make it perfect square
--------------------------------------------------------
x² + 2x + (2/2)² - ²(2/2)² = 17

--------------------------------------------------------
Evaluate the brackets
--------------------------------------------------------
x² + 2x + (1)² - ²(1)² = 17

--------------------------------------------------------
Form the perfect square
--------------------------------------------------------
(x + 1)² - 1 = 17

--------------------------------------------------------
Add 1 to both sides
--------------------------------------------------------
(x + 1)² = 17 + 1
(x + 1)² = 18

--------------------------------------------------------
Square root both sides
--------------------------------------------------------
√(x + 1)² = $\pm$ √18

--------------------------------------------------------
Solve for x
--------------------------------------------------------
x = 4.24 - 1 or - 4.24 -1

x = 3.24 or - 5.24 (nearest hundredth)

--------------------------------------------------------
Answer: x = x = 3.24 or - 5.24
--------------------------------------------------------

7 0

3 years ago

Vijay missed 12 out of his last 16 free throws. Considering this data, how many of his next 20 free-throw attempts would you exp

PilotLPTM [1.2K]

The fraction computed shows that the number of his next 20 free-throw attempts that you expect Vijay to miss is 15.

<h3>How to solve the fraction?</h3>

From the information given, Vijay missed 12 out of his last 16 free throws. The fraction missed will be:

= 12/16

= 3/4

Therefore, the number of his next 20 free-throw attempts that you expect Vijay to miss will be:

= 3/4 × 20

= 15

Learn more about fractions on:

brainly.com/question/78672

5 0

2 years ago

Rewrite as a simplified fraction.<br> 0.87 = ? But 87 is repeating

nexus9112 [7]

Answer:

87 / 100 I do believe will be your answer.

Step-by-step explanation:

1 is the greatest common divisor of 87 and 100, and therefore the result can't be further reduced. I hope this helps!

5 0

3 years ago

What is the slope of the line that passes through the points (2, –3) and (–2, 5)? 2 1/2 -1/2 -2

sergij07 [2.7K]

Answer: The slope is -2.

Step-by-step explanation:

(2,-3)

(-2,5)

Using the two given points, you can find the slope by finding the difference in the y coordinates and diving it by the difference in the x coordinates.

y coordinates: -3 - 5= -8

x coordinates; 2-(-2) = 4

Slope: -8/ 4 = -2

5 0

3 years ago