Answer:
4th one
Step-by-step explanation:
must be ![\sqrt[6]{x^{5} }](https://tex.z-dn.net/?f=%5Csqrt%5B6%5D%7Bx%5E%7B5%7D%20%7D)
x = 3 + y Eqn(1)
y = -2x + 9 Eqn(2)
Let us solve the system of equations with the substitution method
x - 3 = y (Subtracting 3 from both sides of the Eqn(1))
Replacing y = x - 3 in Eqn (2), we have:
x - 3 = -2x + 9
x = -2x + 9 + 3 (Adding 3 to both sides of the equation)
x + 2x = 9 + 3 (Adding 2x to both sides of the equation)
3x = 12 ( Adding like terms)
x = 12/3 (Dividing by 3 on both sides of the equation)
x = 4
Replacing x=4 in Eqn(1), we have:
4 = 3 + y
4 - 3 = y (Subtracting 3 from both sides of the equation)
y=1
The answers are:
x= 4 and y=1
The y-intercept of the linear function y = 3x - 2 is -2
<h3>How to determine the y-intercept?</h3>
The function is given as
y = 3x - 2
The above function is a linear function, and the y-intercept is the point on the graph, where x = 0 i.e. the point (0, y)
As a general rule, linear functions are those functions that have constant rates or slopes
Next, we set x to 0, and calculate y to determine the value of the y-intercept
y = 3(0) - 2
Remove the bracket in the above equation
y = 3 * 0 - 2
Evaluate the product of 3 and 0 i.e. multiply 3 and 0
y = 0 - 2
Evaluate the difference of 0 and -2 i.e. subtract 0 from 2
y = -2
The above means that the value of y when x is 0 is -2
Hence, the y-intercept of the linear function y = 3x - 2 is -2
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The estimate of the amount of money Yousef will borrow by first rounding to the hundred is 4000
<h3>Estimate the amount of money Yousef will borrow by first rounding to the hundred</h3>
The amount borrowed are given as:
Last term = 1690
This term = 2345
When the amounts are rounded to the nearest hundred, the amounts borrowed become:
Last term = 1700
This term = 2300
The total amount is then calculated as:
Total amount = Last term + This term
Substitute the known values in the above equation
Total amount = 1700 + 2300
Evaluate the sum
Total amount = 4000
Hence, the estimate of the amount of money Yousef will borrow by first rounding to the hundred is 4000
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