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Effectus [21]
2 years ago
6

Every time x increases by 1,y decreases by 3,and when x is -6,yis-3.which function models the realation ship between x and y?

Mathematics
2 answers:
Levart [38]2 years ago
5 0
I think that it would be B because -6x-3 seems to follow the rules given here.
oksian1 [2.3K]2 years ago
4 0

Answer:

D. y=-3x-21

Step-by-step explanation:

We have been given that every time x increases by 1,y decreases by 3. This means that slope of our given line is negative 3.

We will use slope-intercept form of equation to find the required function.

y=mx+b, where,

m = Slope of line,

b= The y-intercept.

Upon substituting m=-3 and x=-6 and y=-3 in slope-intercept form of equation, we will get,

-3=-3\times -6+b

-3=18+b

-3-18=18-18+b

-21=b

Upon substituting m=-3 and b=-21 in slope-intercept form of equation, we will get our required equation as:

y=-3x-21

Therefore, option D is the correct choice.

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The equation 9(u – 2) + 1.5u = 8.25 models the total miles Michael traveled one afternoon while sledding, where u equals the num
MArishka [77]

Answer:

h = 2.5

Step by step explanation:

We have been given an equation 9(u-2)+1.5u=8.25 that models the total miles Michael traveled one afternoon while sledding, where u equals the number of hours walking up a hill and (u – 2) equals the number of hours sledding down the hill.

To find value of u we will solve our equation.

Upon using distributive property we will get,    

9(u-2)+1.5u=8.25

9u-18+1.5u=8.25

Now let us add 18 to both sides of our equation.

9u-18+18+1.5u=8.25+18

9u+1.5u=8.25+18

Now let us combine like terms.

10.5u=26.25

Upon dividing both sides of our equation by 10.5 we will get,

u=\frac{26.25}{10.5}

u=2.5

Therefore, value of u is 2.5.

7 0
2 years ago
Read 2 more answers
Kevin wanted to go snowboarding for his vacation. Explain how he could make his decision regarding whether to go to Resort A or
Tcecarenko [31]

Answer:

Resort A has more consistent snowfall, so it shows less variation. However, the snowfall for Resort B has a higher median, and the interquartile range is higher (not larger), so it is more likely that Kevin will find a good snowfall at Resort B.

Thanks:) I just did it edg

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
A right triangle has legs of length 4x and 20x. What is an expression for the hypotenuse of the right triangle
kherson [118]

Answer:

4x\sqrt{26}.

Step-by-step explanation:

Given information:

Leg_1=4x

Leg_2=20x

According to the Pythagoras theorem,

(hypotenuse)^2=(Leg_1)^2+(leg_2)^2

Using Pythagoras theorem, we get

(hypotenuse)^2=(4x)^2+(20x)^2

(hypotenuse)^2=16x^2+400x^2

(hypotenuse)^2=416x^2

Taking square root on both sides.

hypotenuse=\sqrt{416x^2}

hypotenuse=4x\sqrt{26}

Hence, the expression of the hypotenuse is 4x\sqrt{26}.

5 0
2 years ago
Select all of the answers below that are equivalent to T = {Tinkey-Winky, Laa-Laa,
stepan [7]

Answer:

  • {thermometer, fridge, rusty nail, deoderant}
  • {credit card, face wash, tweezers, shovel}
  • {clothes, glass, car, greeting card}

Step-by-step explanation:

The options that will be equivalent to T will have to be the options that have the same Cardinality as T. Cardinality refers to the number of elements in a set and in the set T, there are 4 elements being Tinkey-Winky, Laa-Laa,  Dipsy, Po so the Cardinality is 4.

The equivalent sets would therefore be sets with a cardinality of 4 as well and those are;

  • {thermometer, fridge, rusty nail, deoderant}
  • {credit card, face wash, tweezers, shovel}
  • {clothes, glass, car, greeting card}
3 0
2 years ago
The Fortune 500 is comprised of Fortune magazine's annual list of the finite population of the top 500 companies in the U.S. ran
Serjik [45]

Answer:

The standard error of the proportion is 0.0367.

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the standard error is s = \sqrt{\frac{p(1-p)}{n}}

In this question:

p = 0.16, n = 100

So

s = \sqrt{\frac{0.16*0.84}{100}} = 0.0367

The standard error of the proportion is 0.0367.

4 0
2 years ago
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