Estimate the number of rabbits on the farm will be 417 rabbits.
<h3>What is Algebra?</h3>
Algebra is the study of mathematical symbols, and the rule is the manipulation of those symbols.
Eva wants to estimate the number of rabbits on a farm.
On Monday, she catches 50 rabbits.
These rabbits are tagged and then released.
On Tuesday, she catches 100 rabbits.
12 of these rabbits have tags on them.
Then estimate the number of rabbits on the farm that will be
Let n be the number of total rabbits. Then we have
12n = 50 x 100
n = 5000 / 12
n = 416.67
n ≅ 417
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The solutions of the system of equations are (0 , 13) , (3 , 34)
Step-by-step explanation:
To solve an system of equations, one of them linear and the other is quadratic do that
- Use the linear equation to find one variable in terms of the other variable
- Substitute this variable in the quadratic equation
- Solve the quadratic equation to find the values of the other variable
- Substitute the values of the other variable in the linear equation to find the first variable
The system of equation is:
y = x² + 4x + 13 ⇒ (1)
y = 7x + 13 ⇒ (2)
Substitute y in equation (1) by equation (2)
x² + 4x + 13 = 7x + 13
Subtract 13 from both sides
∴ x² + 4x = 7x
Subtract 7x from both sides
x² - 3x = 0
Take x as a common factor
x(x - 3) = 0
Equate each factor by 0
x = 0
x - 3 = 0
Add 3 to both sides
x = 3
The values of x are 0 and 3
Substitute the values of x in equation (2) to find y
When x = 0
y = 7(0) + 13
y = 0 + 13
y = 13
When x = 3
y = 7(3) + 13
y = 21 + 13
y = 34
The values of y are 13 and 34
The solutions of the system of equations are (0 , 13) , (3 , 34)
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You can learn more about the system of equations in brainly.com/question/3739260
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An expression for that would be 10u
Hmm is your question correct I am a bit confused on the x2 2