The equation of a line is X+3Y=14 what is the y-intercept of the line?
2 answers:
Answer: The required y-intercept of the given line is
Step-by-step explanation: We are given to find the y-intercept of the following equation of a line :
The <em>slope-intercept form</em> of the equation of a line is given by
where m is the slope and c is the y-intercept of the line.
From equation (i), we have
Comparing the above equation with the slope-intercept form, we get
Thus, the required y-intercept of the given line is
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Answer:
343x^6y^3z^3
Step-by-step explanation:
One of the rules of exponents demands:
where a, b, c and m are coefficients.
Furthermore, you use the following rule for exponents of variables that already have an exponent:
Thus, you can apply this rules in the following way:
hence, the answer is 343x^6y^3z^3
Answer:
B. x ≈ 13/8
Step-by-step explanation:
We assume that one iteration consists of determining the midpoint of the interval known to contain the root.
The graph shows the functions intersect between x=1 and x=2, hence our first guess is x = 3/2.
Evaluation of the difference between the left side expression and the right side expression for x = 3/2 shows that difference to be negative, so we can narrow the interval to (3/2, 2). Our 2nd guess is the midpoint of this interval, so is x = 7/4.
Evaluation of the difference between the left side expression and the right side expression for x = 3/4 shows that difference to be positive, so we can narrow the interval to (3/2, 7/4). Our 3rd guess is the midpoint of this interval, so is x = 13/8.
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The sign of the difference at this value of x is still negative, so the next guess would be 27/16. It is a little hard to tell what the question means by "3 iterations." Evaluating the function for x=13/8 will be the third evaluation, so the determination that x=27/16 will be the next guess might be considered to be the result of the 3rd iteration.
