What is the constant of variation, k, of the direct variation, y = kx, through (–3, 2)?

Mathematics

1 answer:

UkoKoshka [18]2 years ago

8 0

Y = kx ⇒ k = y/x = 2/(-3) = -2/3

Answer: k = -2/3

You might be interested in

A regression equation that predicts the price of homes in thousands of dollars is t = 24.6 + 0.055x1 - 3.6x2, where x2 is a dumm

AveGali [126]

Answer:

a) On average, homes that are on busy streets are worth $3600 less than homes that are not on busy streets.

Step-by-step explanation:

For the same home (x1 is the same), x2 = 1 if it is on a busy street and x2 = 0 if it is not on a busy street. If x2 = 1, the value of 't' decreases by 3.6 when compared to the value of 't' for x2=0. Since 't' is given in thousands of dollars, when a home is on a busy street, its value decreases by 3.6 thousand dollars.

$t(x1, 0)= 24.6 + 0.055x1\\t(x1, 1) = 24.6 + 0.055x1 - 3.6\\t(x1, 1) = t(x1, 0) - 3.6$

Therefore, the answer is a) On average, homes that are on busy streets are worth $3600 less than homes that are not on busy streets.

8 0

2 years ago

Choose Yes or No to tell if each statement is true. All rectangles are squares. Choose... All parallelograms are rectangles. Cho

maks197457 [2]

Answer:

No,No,Yes,Yes

8 0

2 years ago

Read 2 more answers

Does Biased mean random or not random?

mote1985 [20]

Biased most likely means not random in this context. The actual definition is "unfairly prejudiced for or against someone or something"

7 0

2 years ago

Read 2 more answers

The 3rd and 6th term of a geometric progression are 9/2 and 243/16 respectively find the first term, common ratio, seventh term

sashaice [31]

Answer:

Hello,

Step-by-step explanation:

$Let\ (u_n)\ the\ geometric\ progression.\\\\r\ is\ the\ common\ ratio.\\\\u_3=u_0*r^3\\u_6=u_0*r^6\\\\\dfrac{u_6}{u_3} =r^3=\dfrac{\frac{243}{16} }{\frac{9}{2} } =\dfrac{27}{8} =(\frac{3}{2} )^3\\\\\boxed{r=\dfrac{3}{2} }\\\\\\u_3=u_1*r^2 \Longrightarrow\ u_1=\dfrac{u_3}{r^2} =\dfrac{\frac{9}{2} }{(\frac{3}{2^2}) } =2\\\\\\u_7=u_6*\dfrac{3}{2} =\dfrac{729}{32}$

5 0

2 years ago

14 POINTS.

wel

Answer:

2.3 could, but not -0.25.

Step-by-step explanation:

It is impossible to have any probability larger than 100 or lower than 0. 2.3 is possible bc it's below 100 and above 0.

6 0

2 years ago

Read 2 more answers