9x - 4y = 36 what is this in slope intercept form

Mathematics

1 answer:

shusha [124]3 years ago

6 0

Answer:

y = ⁹/₄x -9

Step-by-step explanation:

Brainliest Please!!

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The regression equation relating dexterity scores (x) and productivity scores (y) for the employees of a company is y = 5.50 + 1

ohaa [14]

For this case we have the following equation:
y = 5.50 + 1.91x
Where:
x: dexterity scores
y: productivity scores
For x = 33 we have:
y = 5.50 + 1.91 * (33)
y = 68.53
Answer:
The best predicted productivity score for a person whose dexterity score is 33 is:
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3 years ago

Find n for which the nth iteration by the Bisection Method guarantees to approximate the root of f(x) = 2x^2 − 3x − 2 on [−2, 1]

Lady_Fox [76]

Answer:

n = 29 iterations would be enough to obtain a root of $f(x)=2x^2-3x-2$ that is at most $10^{-8}$ 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).

$n\geq \frac{log(\frac{b-a}{\epsilon} )}{log(2)}$

We know

a = -2, b = 1 and ε = $10^{-8}$ so

$n\geq \frac{log(\frac{1+2}{10^{-8}} )}{log(2)}\\n \geq 29$

Thus, n = 29 iterations would be enough to obtain a root of $f(x)=2x^2-3x-2$ that is at most $10^{-8}$ away from the correct solution.

You can prove this result by doing the computation as follows:

From the information given we know:

$f(x)=2x^2-3x-2$
$\epsilon = 10^{-8}$

This is the algorithm for the Bisection method:

Find two numbers a and b at which f has different signs.
Define $c=\frac{a+b}{2}$
If $b-c\leq \epsilon$ then accept c as the root and stop
If $f(a)f(c)\leq 0$ then set c as the new b. Otherwise, set c as the new a. Return to step 1.