Mathematics Middle School

A direct variation function contains the points (–9, –3) and (–12, –4). Which equation represents the function?
y = –3x
y = – x/3
y = x/3
y = 3x

Answers

Answer 1
First, find the slope between the two points. 
Slope = y2-y1 / x2-x1
-4+3/ -12+9
-1/-3
1/3 is the slope of this equation. 
You do not have to go any further to find b or the y-intercept because it appears that b or the y-intercept is 0 in this case. 
y= 1/3x or in other words y= x/3
Answer 2
(-9,-3)  (-12,-4)   use y2-y1/x2-x1=slope,   (-4+3)/(-12+9)=1/3    y=x/3

Related Questions

What is number ll I'm in advanced math and this is the only one I don't know. I'm in the 7th grade and in 9th grade math please help me.

Answers

To solve this, we simply need to substitute in the value for x, and then solve like a normal fraction problem. The easiest way to solve for this is to turn both fractions into improper fractions, subtract the smaller value from the larger value, then make it negative.

2 4/5 - 1 1/5
14/5 - 6/5
8/5
-8/5

Now, we should turn it back into a mixed number.

-1 3/5

The value of this expression is -1 3/5 or -8/5.

What is rhe name of the period that has the digits 751

Answers

The name of period that has 751 in the number is hundreds.
Because Period is considered to a group of places of the digits.

In this case, the given number is 751 and it is the group of hundred because 700 is the highest number it contains.

We can also write 751 as

751 = 700 + 50 + 1

It means,

7 hundreds + 5 tens + 1 ones

The maximum height of a vehicle that can safely pass under a bridge is 12 feet 5 inches. A truck measures 162 inches in height. Which best explaims whether or not the truck can pass safely under the bridge?

Answers

1 foot = 12 inches. If you multiply 12 by 12 and then add 5, you get 149. 149 is less than 162 so it will be able to fit!

What is the answer to 8ab-2b+ab-b

Answers

8ab-2b+ab-b
8ab+ ab= 9ab
-2b-b= -3b

Answer: 9ab - 3b
8ab-2b+ab-b
Combine like factors
9ab-3b

Matteo is adjusting a satellite because he finds it is not focusing the incoming radio waves perfectly. The shape of his satellite can be modeled by y^2=6x where x and y are modeled in inches. He realizes that the static is a result of the feed antenna shifting slightly off the focus point. What is the focus point of the satellite? (–1.5, 0) (0, –1.5) (0, 1.5) (1.5, 0)

Answers

Answer: (1.5, 0)

Step-by-step explanation:

Given : The shape of his satellite can be modeled by [tex]y^2=6x[/tex] where x and y are modeled in inches.

Now,the given equation [tex]y^2=6x[/tex] is a equation of parabola.

Here, coefficient of x is positive, hence the parabola opens rightwards.

On comparing this equation with standard equation [tex]x^2=4mx[/tex], we get

[tex]4m=6\\\Rightarrow\ m=\frac{6}{4}=1.5[/tex]

In standard equation, coordinates of focus=(m,0)

Thus for given equation coordinates of focus=(1.5,0)

Answer:

Answer: (1.5, 0)

Step-by-step explanation:

find the quotient -7 divided by 14/3

Answers

-1/6 is your answer i know so Hope this helps

Each level of a smartphone app adds more gems for you to match. On level one, there were 13 gems. On level twelve, there were 123 gems. When you complete all twelve levels, how many total gems will you have matched?

Answers

First find the rate or common difference if it exists.

(123-13)/(12-1)

110/11

10  So this essentially form an arithmetic sequence because each term is a constant difference with respect to the previous term.

The sum of an arithmetic sequence, in simplest terms, is the average of the first and last terms times the number of terms, in this case:

(12-1+1)(13+123)/2

12(68)

816

So the player will have matched 816 gems in total for the twelves rounds.


Answer:

816 is your answer

Step-by-step explanation:

Solve the system by the elimination method
6x+2y=-16
-x-3y=-16

Answers

eliminate y's
multiply first equation by 3 and 2nd by 2 and addd them

18x+6y=-48
-2x-6y=-32 +
16x+0y=-80

16x=-80
divide both sides by 16
x=-5
sub back

-x-3y=-16
-(-5)-3y=-16
5-3y=-16
-3y=-21
y=7

(x,y)
(-5,7)

What value correctly fills in the blank so that the expressions are equivalent?
18 + 45 = ___ ´ (2 + 5)
-----------------------
2

3

7

9

Answers

63 = x(7)
9 = x

The answer is D) 9

Answer:

the answer is 9

Step-by-step explanation:

i just did it

Suppose you find six articles related to the topic of your research paper. In how many ways can you choose four articles to read? 30 15 720 360

Answers

This is a case of choosing objects from a set, where order matters.

The number of ways you can choose some objects from a set when order matters is called variations.

The formula of variations is:

Vm,n = m! / (m - n)!

In this case it is the selection of four articles from a set of six articles =>

V6,4 = 6! / (6-4)! = 6*5*4! / 4! = 6*5 = 30

Answer: 30

Help me please!! Thanks you

Answers

height = sqrt (26^2 - 10^)

10^2 = 100

26^2 = 676

 sqrt ( 676-100)=

sqrt(576) = 24

 height is 24 ft

What is the equation of this line of best fit in slope-intercept form?
y = −6x + 3/4
y = 6x + 3/4
y =-3/4 x + 6
y =3/4 x + 6

PLEASE HELP!!! Get brainliest answer if right @peredhel

Answers

Hi! 

(before I answer, I wanted to say that tagging me doesn't normally get my attention, and you won't always get the people you want to answer your question to answer it, whether you tag someone or not, because it doesn't notify anyone. Hope that makes sense.) :)

So first let's look at the graph. 

The y intercept is 6. 
That rules out A and B. 

The line is going down, which means the coefficient to x will be negative. 

That rules out C.

Now to make sure D is correct, find the slope of the line. 
The slope of the line is 3/4, which means D is correct.

The answer is y = 3/4x + 6

Hope this helps! :)
Since the line is going down, the gradient must be negative
After that,
Let A be a point on the line with coordinates (0,6) while let B be another point on the line with coordinates (8,0)
Let's recall the gradient formula
y1-y2/x1-x2
So, the gradient of AB will be 6-0/0-8= -3/4
Let's also recall that the formula of a linear line is y=mx+c, m is the gradient while x is the y-intercept.
So in this case, the gradient is -3/4 while the y-intercept is 6.
As such, the answer must be the third one, y=-3/4x + 6

.736 rounded to the nearest hundredth

Answers

.74 is the answer rounded to nearest hundredth.

Easy question about triangles that I forgot what they look like so I feel too lazy to look them up (13 POINTS)

Answers

There are exactly 3 scalene triangles, and I feel you XD
They are right, there are exactly 3 scalene triangles

If x = -6 and y = -9, find xy - 3x + 2y

Answers

54, tho this might be right or wrong.
It's 54 . You put the numbers in for the letters and simplify from there!

What is the length of leg y of the right triangle? A right triangle with hypotenuse 85 and legs 84 and y 1 9 13 26 Question 11(Multiple Choice Worth 1 points)

Answers

a^2 +b^2 = c^2

a^2 +84^2 = 85^2

a^2 + 7056 =7225

a^2 = 169

a= sqrt(169)

a=13

 length of leg y = 13

The answer would be 13

Is the decimal form of 13/3 a rational number

Answers

No Its not Rational Number

Alaska's glacier bay national park had 431,986 visitors one year the next year the park had22,351 more visitors than the year before how many people visited during the two years show your work and explain how you found your answer.

Answers

886,323 people visited during the two years.

what number is 10 times more than 8000

Answers

10*8000= 80,000

An easy way to multiply by 10 is to shift the decimal place over by 1 place value and add a 0 right before it.
80,000 (8,000 x 10= 80,000)

if Mary pitches a baseball with the initial height of 6 feet and a velocity of 73 feet per sec, how long will it take for the ball to hit the ground


PLZ somebody tell me ;c

Answers

4.64 seconds i believe


20 POINTS!!! WRONG ANSWERS WILL BE REPORTED!!

Answers

as you know 
sin = opp / hyp
cos = adj / hyp
tan = opp/adj

so
tan(Y) = opp/adj = 8/15 
cos (X) = adj / hyp = 8/17
tan(X) = opp/adj = 15/8
sin(Y) = opp / hyp = 8/17
cos(Y) = adj / hyp = 15/17

so answers
tan(Y) = opp/adj = 8/15 
tan(X) = opp/adj = 15/8
sin(Y) = opp / hyp = 8/17

how do you solve the function 5x-4=-2(3x+2)

Answers

5x-4=-2(3x+2)
5x-4= -6x-4
5x+6x= -4+4
11x=0
X=0/11
5x - 4 = -2 (3x + 2)
Expand the bracket
5x - 4 = -6x - 4
11x = 0
x = 0/11 = 0

Hope it helped!

A line passes through (1, –5) and (–3, 7).
a. Write an equation for the line in point-slope form.
b. Rewrite the equation in slope-intercept form.

Answers

A.  First, find the slope, which  is -0.5, and then insert it into point-slope form, which is y-y1=m(x-x1), or y-1=-0.5(x+5). That's point-slope form.


B.  First, distribute -0.5 to both terms  in the parenthesis, to get y-1=-0.5x-2.5, and lastly add 1 to both sides to get the slope-intercept form of y=-0.5x-1.5

Answer:

you didnt give the answer its A

Step-by-step explanation:

cause u gay

1.
(05.01 LC)
The graph below shows the height an elevator travels, y, in x seconds:



What is the rate of change for the relationship represented in the graph? (1 point)


A. 1/15
B.1/14
C.14
D.15

Answers

Hey there!

You can find the rate of change by taking any two points from your graph and plugging them into the following equation:

[tex] \frac{y_2-y_1}{x_2-x_1} [/tex]

Let's use the first two points you're shown from least to greatest. These are (0, 0) and (1, 15). 

Now, identify what number is which and plug them into your equation. The solution will be your rate of change. 

[tex]y_2 = 15 \\ y_1 = 0 \\ x_2 = 1 \\ x_1 = 0[/tex]

[tex]\frac{15-0}{1-0}[/tex]

[tex] \frac{15}{1} [/tex]

[tex]15[/tex]

15, or D, will be your answer. 

Hope this helped you out! :-)

The rate of change for the relationship represented in the graph is 15

What is rate of change?

The rate of change of a linear graph is the slope of the graph

From the graph, we have the following ordered pairs

(x,y) = (0,0) and (2,30)

So, the rate of change (m) is then calculated as:

[tex]m =\frac{y_2 -y_1}{x_2 -x_1}[/tex]

This gives

[tex]m =\frac{30 - 0}{2 - 0}[/tex]

Evaluate the differences

[tex]m =\frac{30 }{2 }[/tex]

Evaluate the difference

[tex]m=15[/tex]

Hence, the rate of change is 15

Read more about rate of change at:

https://brainly.com/question/8728504

One hundred students are asked a survey question as they walk through the front gate at their middle school. Is this a representative sample of the schools population?

Answers

Given that one hundred students are asked a survey question as they walk through the front gate at their middle school.

This a representative sample of the schools population because the sampling is random and is not biased.

George has 9 more dollars than Frank, who has 3 more than Richard. What is the least amount of money that must be exchanged so that they each have the same amount of money?

I know the answer is $7 but is there a quicker way to do it instead of guess and check?

Answers

r+r+3+r+12

3r+15, let r=1

3+15=18, so we need each person to have 6

we know that g=12+1=13, f=3+1=4, r=1

So g must give away 7. f must take 2, and r must get 5

So 7+2+5=14 got exchanged in total.

But I can see that only $7 dollars was taken to be distributed to the other two as well.

Explain how you know the valúes of the digits in the number 58

Answers

The 5 is in the tens spot and the 8 is in the ones.
Look at chart. Plug in an 8 where it says ones, and the 5 where it says tens. Yeah?

The Shake Shack sells large and small shakes. A large shake costs $5, and a small shake costs $3. On Sunday, the Shake Shack had a total revenue of $479. Which equation can be used to represent x, the number of small shakes sold and y, the number of large shakes sold?
479x + 479y = 15
4x + 4y = 479
5x + 3y = 479
3x + 5y = 479

Answers

Since X represents small shakes and y large ones The 3 must be with x and the 5 with y. The last equation is the only one that fits this criteria.

Answer: 3x + 5y = 479

Answer:

3x + 5y = 479

Step-by-step explanation:

As the problem states it, the number of small shakes will be represented by "x" and the number of large shakes will be represented by "y", so we know that the number of each mutiplied by the cost, its equal to the total revenue which is $479, so we just put that into an equation:

3x + 5y=$479

And that´s the equation that can be used to represent that inequality.

I know the answer but my meme dealer needs points

Answers

I ain't the meme dealer but whatev

GCF can be found by grouping the 2 numbers and finding the common group of factors

so factor them
36=2*2*3*3
84=2*2*3*7

the common factors are 2*2*3=12

the GCF is 12

Answer: 12 (C)

Step-by-step explanation: Im a "Meme Dealer" but not yours.

Which rate is equivalent to the unit rate of 15 miles per gallon?

thirty miles over three gallons
three gallons over thirty miles
four gallons over sixty miles
sixty miles over four gallons

Answers

Sixty miles over four gallons would reduce down to 15 miles over one gallon which would 15 miles per gallon.

Answer:

Fourth option is correct.

Step-by-step explanation:

Since we have given that

thirty miles over three gallons  

Unit rate would be  miles per gallon.

three gallons over thirty miles  

Unit rate would be  miles per gallon.

four gallons over sixty miles  

Unit rate would be  miles per gallon.

sixty miles over four gallons

Unit rate would be  miles per gallon.

Hence, Fourth option is correct.

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