Answer:
The two numbers are x = 8 and y = 5
Step-by-step explanation:
Let the two numbers be x and y
The difference of two numbers is 3 is represented as:
x - y = 3------------------Equation 1
Their sum is 13 is represented as:
x + y = 13----------------Equation 2
x - y = 3------------------Equation 1
Using method of Elimination by subtracting Equation 1 from Equation 2
x-x + y-(-y) = 13 - 3
2y = 10
y = 10/2
y = 5
Substituting y = 5 in Equation 2
x + 5 = 13
x = 13 - 5
x = 8
∴ The two numbers are x = 8 and y = 5
Answer:
Population of dice mice after one year = 2000
Population of wood rats after one year = 1000
The population of deer mice is growing faster than the popular of wood rats
Step-by-step explanation:
The expression for population = dN/dt = rN
Upon integration N = rN²/2
Therefore for population N = 200 and r= 0.1
N after one year = (0.1 x 200²)/ 2 = 2000
Therefore for population N = 100 and r= 0.2
N after one year = (0.2 x 100²)/ 2 = 1000
Hence the population of deer mice is growing faster than the popular of wood rats
Answer:
B) 
Step-by-step explanation:
−x + 3 = 2x - 3
-2x - 2x
___________
−3x + 3 = −3
- 3 - 3
_________
−6 = −3x
__ ___
−3 −3
[Plug this back into both equations above to get the y-coordinate of 1]; 
I am joyous to assist you anytime.
Answer:
3x(x - 4)(x + 2)
Step-by-step explanation:
Given
3x³ - 6x² - 24x ← factor out common factor of 3x from each term
= 3x(x² - 2x - 8) ← factor the quadratic
Consider the factors of the constant term (- 8) which sum to give the coefficient of the x- term.
The factors are - 4 and + 2, since
- 4 × 2 = - 8 and - 4 + 2 = - 2, thus
x² - 2x - 8 = (x - 4)(x + 2) and
3x³ - 6x² - 24x = 3x(x - 4)(x + 2)
Answer: 12 girls to 27 students
5 boys to 9 students
15 boys to 12 girls
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