Answer:
75% of the votes were in favor.
Step-by-step explanation:
To find the percent(rate), we use the formula r=p/b
The question is "What percent(rate) of 56 is 42?"
So fill in the formula and it will show as r=42/56, which is the rate will be equal to 42 divided by 56.
Perform the calculations and the result will show 0.75
Convert the decimal to a percent by moving the decimal point two places to the right and you will have 75% as your answer.
9514 1404 393
Answer:
y = -4x -2
Step-by-step explanation:
The slope is given by the formula ...
m = (y2 -y1)/(x2 -x1)
m = (-10 -10)/(2 -(-3)) = -20/5 = -4
__
The y-intercept is given by ...
b = y1 -m(x1)
b = 10 -(-4)(-3) = 10 -12 = -2
Then the slope-intercept equation is ...
y = mx +b
y = -4x -2
Answer:
A and D
Step-by-step explanation:
because the equation shows that they are both relatively right
The correct answer is -20
Answer:
n = 29 iterations would be enough to obtain a root of 
that is at most 
away from the correct solution.
Step-by-step explanation:
You can use this formula which relates the number of iterations, n, required by the bisection method to converge to within an absolute error tolerance of ε starting from the initial interval (a, b).
We know
a = -2, b = 1 and ε = so
Thus, n = 29 iterations would be enough to obtain a root of that is at most away from the correct solution.
<u>You can prove this result by doing the computation as follows:</u>
From the information given we know:
This is the algorithm for the Bisection method:
- Find two numbers <em>a</em> and <em>b</em> at which <em>f</em> has different signs.
- Define
- If
then accept c as the root and stop - If
then set <em>c </em>as the new<em> b</em>. Otherwise, set <em>c </em>as the new <em>a</em>. Return to step 1.
We know that 
and 
so we take 
and 
then 
Because 
we set 
as the new <em>b.</em>
The bisection algorithm is detailed in the following table.
After the 29 steps we have that 
hence the required root approximation is c = -0.50
