Determine whether y varies directly with x. If so, find the constant of variation and write the equation.

Mathematics

1 answer:

kotykmax [81]4 years ago

6 0

Answer: B. No

Step-by-step explanation:

Direct variation has the following form:

$y=kx$

Where the constant of variation is "k".

By definition, in direct variation, when the variable "x" changes, tha variable "y" changes in proportion to the variable "x".

As you can observe in the table, when the value of the variable "x" increase, the values of the variable "y" decrease, therefore we can conclude that it is not a direct variation.

Then the answer is the option B.

You might be interested in

This is legit due today and I’m nervous that I won’t get done in time. Please help. God bless you.

zlopas [31]

Josef receives 3$ per hour spent doing chores. So, after x hours of chores, he receives 3x dollars. This money must be added to the 10$ he would receive no matter what, so the total expression is

$m = 10+3x$

We can test the options against the given patterns: in pattern 1, we have one black hexagon and 6 white hexagons. Let's see which equations fit: if we substitute b=1 and w=6 we have:

A) $6 = 6\cdot 1$ - ok

B) $6 = 3\cdot 1 +2$ - wrong

C) $6 = 2\cdot 1 +4$ - ok

D) $6 = 6\cdot 1 + 2$ - wrong

E) $6 = 2\cdot 1 + 3$ - wrong

So, the only feasible answers are A or C, because all the other functions don't fit even the first pattern. Let's test the two survivors for pattern 2: we have two black hexagons and 8 white hexagons. Plugging b=2 and w=8 into A and C we have

A) $8 = 6\cdot 2$ - wrong

C) $8 = 2\cdot 2 +4$ - ok

So, the answer is C, because it models correctly pattern 2 as well. For the sake of completeness, let's test this function against pattern 3 as well: we have 3 black and 10 white hexagons. Plugging b=3 and w=10 into C we have

C) $10 = 2\cdot 3 +4$ - ok

So, C models correctly all patterns, and thus describe the general rule.

4 0

4 years ago

Find the perimeter of triangle CDE. Round to the nearest tenth.

nevsk [136]

Here's how you do it: you find all the distances between the three points and add them together to calculate the perimeter of the triangle. To calculate for the distance between two points, the formula is

d = √[(x2 - x1)² + (y2 - y1)²]

So, just take two points, assign x1 and x2 with corresponding y1 and y2, then you get the answer.

Points: D(1,4), E(3,-2), C(-3,1)

After substituting the answers would be:
DE = 6.3 units
CE = 6.7 units
CD = 5 units

Perimeter = 6.3 + 6.7 + 5
Perimeter = 18 units

7 0

4 years ago

Read 2 more answers

(3.2 * 10000000) -3

andreev551 [17]

The exponents distribute over factors:

$(ab)^c = a^c \times b^c$