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4 years ago

Y=1/5x explain how the relation ship is proportional how can you find the constant proportionality?

Mathematics

1 answer:

Elenna [48]4 years ago

6 0

Answer:

$\frac{1}{5}$

Step-by-step explanation:

$y \propto x$

$y=kx$

As the $x$ increases or decreases, the output value $y$ will keep changing.

$k$ is called the constant of variation. The constant of variation is the number that relates two variables that are directly proportional or inversely proportional to one another.

$k=\frac{1}{5}$

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Which function is undefined for x = 0? y=3√x-2 y=√x-2 y=3√x+2 y=√x=2

Mkey [24]

For this case, we have to:

By definition, we know:

The domain of $f (x) = \sqrt [3] {x}$ is given by all real numbers.

Adding or removing numbers to the variable within the root implies a translation of the function vertically or horizontally. In the same way, its domain will be given by the real numbers, independently of the sign of the term inside the root. Thus, it will always be defined.

So, we have:

$y = \sqrt [3] {x-2}$ with $x = 0$ : $y = \sqrt [3] {- 2}$ is defined.

$y = \sqrt [3] {x+2}$ with $x = 0:\ y = \sqrt [3] {2}$ is also defined.

$f (x) = \sqrt {x}$ has a domain from 0 to ∞.

Adding or removing numbers to the variable within the root implies a translation of the function vertically or horizontally. For it to be defined, the term within the root must be positive.

Thus, we observe that:

$y = \sqrt {x-2}$ is not defined, the term inside the root is negative when $x = 0$ .

While $y = \sqrt {x+2}$ if it is defined for $x = 0$ .

Answer:

$y = \sqrt {x-2}$

Option b

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4 years ago

The label on a package of bolts says each bolt has a diameter of 0.35 inch. To be in the package, the percent error of the diame

qaws [65]

Answer: No

Step-by-step explanation:-

Labeled diameter on the bolt = 0.35 inch

The observed diameter of the bolt= 0.33 inch

${\text {Percentage Error}}=|\frac{\text {labeled value}-{Observed value}}{\text {Observed value}}|\times 100\%$

${\text{Percentage Error}=|\frac{0.35-0.33}{0.33}|\times 100\%=6.06\%$

For the bolt to be in the package, the percent error must be less than 5%. As the percent error is 6.06% which is greater than 5%, the bolt cannot be in the package.

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4 years ago

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The table shows the amounts of food collected by two homerooms. Homeroom A collects 21 additional items of food. How many more i

Andreyy89

<span>Let x be additional food item the homeroom B should collect to have greater item per student than homeroom A.</span>

(22 +24 + x) / 16 > (30 + 42 + 21) /24

(22 +24 + x) > 3.875 (16)

X > 16

<span>So they should collect more than 16 food item to have a greater item per student</span>

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3 years ago

Which statement is true about setting up a proportion to solve for the missing measure?

LiRa [457]

Answer: B)

Corresponding parts must be in the same position.

Step-by-step explanation:

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3 years ago

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The following graph shows a proportional relationship.

elena-s [515]

Answer:

The constant of proportionality is thus 1

Step-by-step explanation:

Note that the green line passes through (6, 6) and has a y-intercept of 0. Thus, the equation of the line is y = (6/6)x + 0, or y = x, or y = 1x.

The constant of proportionality is thus 1, which is also the slope of this line.

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3 years ago