All categories

2 years ago

Which equation is a direct variation function? y = 4 y = 1/3x+ 4 y = x y = x3

Mathematics

2 answers:

Aleks04 [339]2 years ago

8 0

Answer:

y=4

Step-by-step explanation:

its asking which one you can answer without any more context, in this case its y=4 because all the other ones evolving x lead to a rabbit hole and will take you in circles.

qwelly [4]2 years ago

6 0

Answer:

y=x

Step-by-step explanation:

direct variation form is y = kx where 'k' is the constant of variation

y=4 This has no 'x' variable

y = 1/3x+4 The constant of variation is 1/3 but then 4 is added, so no direct

y = x³ The 'x' variable must be to the power of one

You might be interested in

Lauren,Amanda,and Cami each buy the same pizza.Cami eats 1/2 of her pizza.Amanda eats less than Cami.Lauren eats more than Cami.

Harrizon [31]

Amanda could’ve ate 1/4 and Lauren could’ve ate 3/4. I hope this helps!

6 0

3 years ago

What is ln x + 2 ln y − ln z written as a single logarithm.

MA_775_DIABLO [31]

Answer:

$\ln \frac{xy^2}{z}$

Step-by-step explanation:

Given expression:

$\ln x+2\ln y-\ln z$

To write the given expression in single logarithm.

Solution:

We will apply the logarithm properties to write the expression in single logarithm.

We have:

$\ln x+2\ln y-\ln z$

Using power rule : [ $a\ln b= \ln b^a$ ]

⇒ $\ln x+\ln y^2-\ln z$

Using product rule: [ $\ln a+\ln b=\ln ab$ ]

⇒ $\ln xy^2-\ln z$

Using quotient rule. [ $\ln a - \ln b = \ln\frac{a}{b}$ ]

⇒ $\ln \frac{xy^2}{z}$

Thus, we successfully converted the expression to a single logarithm expression.

7 0

4 years ago

In the first week of August, there were 1,060 people at an amusement

Marrrta [24]

Answer:

In second week there is percentage decrease (-ve sign) of 20% in people visiting compare to first week.

In third week there is percentage increase of 50% in people visiting compare to second week.

In fourth week there is percentage decrease of 75% in people visiting compare to third week.

Solution:

Need to determine percentage change in the number of people who went to amusement park for each week in august.

Given that,

In first week of august number of people went to amusement park let say $p_1$ = 1060

In second week of august number of people went to amusement park let say $p_2$ = 848

In third week of august number of people went to amusement park let say $p_3$ = 1272

And in fourth week of august number of people went to amusement park let say $p_4$ = 318

Percentage change from first week to second week is as follows

$\% \text { change }=\frac{p_{2}-p_{1}}{p_{1}} \times 100=\frac{848-1060}{1060} \times 100$

$=\frac{-212}{1060} \times 100=-20 \%$

So in second week there is percentage decrease (-ve sigh) of 20% in people visiting compare to first week.

Percentage change from second week to third week is as follows

$\begin{aligned} \% \text { change }=\frac{p_{3}-p_{2}}{p_{2}} \times 100 &=\frac{1272-848}{848} \times 100 =\frac{424}{848} \times 100=50 \% \end{aligned}$

So in third week there is percentage increase of 50% in people visiting compare to second week

Percentage change from third week to fourth week is as follows

$\begin{aligned} \% \text { change }=& \frac{p_{4}-p_{3}}{p_{3}} \times 100=\frac{318-1272}{1272} \times 100 =\frac{-954}{1272} \times 100=-75 \% \end{aligned}$

So in fourth week there is percentage decrease of 75% in people visiting compare to third week

5 0

4 years ago

You have a mortgage payment of $1,248.90/month. Using proportions, what is the minimum you must have in realized income per mont

9966 [12]

Minimum is 25% for housing

1248.90 / 0.25 = $4995.60 per month

4 0

3 years ago

Mrs wang is 23 years older than her daughter. I’m 5 years, their age will total 63. How old is each now?

Rom4ik [11]

Answer:

Mrs. Wang is 38 years old and her daughter is 15 years old.

Step-by-step explanation:

Explanation:

Let

the daughter's age

Mrs. Wang is

years older, so her age is

In five years, the daughter will be

years old

In five years, Mrs. Wang will be

years old

And, in five years the sum of their ages will be 63, so...

Combine like terms

−

Subtract 33 from both sides

Divide both sides by 2

The daughter is 15

Mrs. Wang is 38

8 0

4 years ago