What is the equation of this line? •y=-3/2x •y=3/2x •y=-2/3x •y=2/3x

Y is directly related to x and y is 81 when x is 27 the constant of.variation is

s2008m [1.1K]

Answer:

k = 3

Step-by-step explanation:

Given that y and x are directly related then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition y = 81 when x = 27

k = $\frac{y}{x}$ = $\frac{81}{27}$ = 3

8 0

3 years ago

Which of the following expression has the greatest value: -3+-4-(-2),-3-(-4)-(-2),-3+-4-2,-3-(-4)-2

AleksAgata [21]

The third one
U solve from left to right and when two negatives are next to each other it turns to a plus.

6 0

2 years ago

In an area of the Midwest, records were kept on the relationship between the rainfall (in inches) and the yield of wheat (bushel

dusya [7]

Answer:

The correct answer is 36.2

Step-by-step explanation:

Hello!

Given the data:

Rainfall(inch) x: 10.5, 8.8, 13.4, 12.5, 18.8, 10.3, 7.0, 15.6, 16.0

Yield (bushels per acre) y: 50.5, 46.2, 58.8, 59.0, 82.4, 49.2, 31.9, 76.0, 78.8

The response variable is

Y: Yield of wheat (bushels per acre)

Explanatory variable:

X: Rainfall in a certain period (inch)

I've calculated the equation of regression using a statistics software, the estimated equation is:

^Y= 4.27 + 4.38X

To calculate the value that will take the response variable for a given value of X:

^Y= 4.27 + 4.38*7.3= 36.24 bushels per acre.

I hope it helps!

5 0

3 years ago

Find the inverse y=3x+2

Gwar [14]

$y=3x+2\\\\\text{replace x with y and y with x}\\\\3y+2=x\\\\\text{solve for y}\\\\3y+2=x\ \ \ \ \ |-2\\\\3y=x-2\ \ \ \ \ |:3\\\\\boxed{y=\dfrac{x-2}{3}}$

4 0

3 years ago

Find the radius of convergence, r, of the series. ? n2xn 7 · 14 · 21 · ? · (7n) n = 1

defon

I'm guessing the series is supposed to be

$\displaystyle\sum_{n=1}^\infty\frac{n^2x^n}{7\cdot14\cdot21\cdot\cdots\cdot(7n)}$

By the ratio test, the series converges if the following limit is less than 1.

$\displaystyle\lim_{n\to\infty}\left|\frac{\frac{(n+1)^2x^{n+1}}{7\cdot14\cdot21\cdot\cdots\cdot(7n)\cdot(7(n+1))}}{\frac{n^2x^n}{7\cdot14\cdot21\cdot\cdots\cdot(7n)}}\right|$

The first $n$ terms in the numerator's denominator cancel with the denominator's denominator:

$\displaystyle\lim_{n\to\infty}\left|\frac{\frac{(n+1)^2x^{n+1}}{7(n+1)}}{n^2x^n}\right|$

$|x^n|$ also cancels out and the remaining factor of $|x|$ can be pulled out of the limit (as it doesn't depend on $n$ ).

$\displaystyle|x|\lim_{n\to\infty}\left|\frac{\frac{(n+1)^2}{7(n+1)}}{n^2}\right|=|x|\lim_{n\to\infty}\frac{|n+1|}{7n^2}=0$

which means the series converges everywhere (independently of $x$ ), and so the radius of convergence is infinite.

3 0

3 years ago