Mathematics High School

{(-15, 3), (-5, 1), (0, 0), (10, -2)}
Constant:
Equation:
Direct & inverse variation (identify the constant of variation,then write the direct variation equation to represent the relationship) please helppp!!

Answers

Answer 1

Answer:

[tex]k = -\frac{1}{5}[/tex] -- Constant

[tex]y = -\frac{x}{5}[/tex] -- Equation

Step-by-step explanation:

Given

[tex]\{(-15, 3), (-5, 1), (0, 0), (10, -2)\}[/tex]

Solving (a): The constant of variation

The given parameter is of the form (x,y) and the variation constant is calculated using:

[tex]k = \frac{y}{x}[/tex]

For:(-15,3), k is calculated as

[tex]k = \frac{y}{x}[/tex]

[tex]k = \frac{3}{-15}[/tex]

[tex]k = -\frac{1}{5}[/tex]

For (-5,1)

[tex]k = \frac{y}{x}[/tex]

[tex]k = \frac{1}{-5}[/tex]

[tex]k = -\frac{1}{5}[/tex]

The equation is calculated using the following rule:

[tex]y = kx[/tex]

Substitute [tex]-\frac{1}{5}[/tex] for k

[tex]y = -\frac{1}{5} * x[/tex]

[tex]y = -\frac{x}{5}[/tex]

Related Questions

These are function questions
please give answers with working thank you

1.It is given that h(x) = 2x − 5. Find h(4)
2.It is given that f(x) = 5x + 2. Find f –1(-3).

Answers

Answer:

h(4) = 3

f-1(-3) = - 1

Step-by-step explanation:

One

h(x) = 2x - 5

h(4) = 2*4 - 5

h(4) = 8 - 5

h(4) = 3

Two

Let y = f(x)

y = 5x + 2           Interchange x and y

x = 5y + 2           Subtract 2 from both sides

(x - 2) = 5y          Divide by 5

(x - 2)/5 =  y

but y = f'(x)

so f(x) = (x - 2)/5

f-1(-3) = (-3 - 2) / 5

f-1(-3) = -5/5

f-1(-3) = - 1

which of the following graphs represents a function?

Answers

Answer: you didnt post graphs to look at

Step-by-step explanation:

You didn’t post graphs to look

Please help
Factor 5x^2-11x+6. Rewrite the trinomial with the X-term expanded using 2 factors

The answer starts as 5x^2_______+6

Answers

Answer:

[tex]5x^2-5x-6x+6[/tex]

Step-by-step explanation:

[tex]5x^2-11x+6\\5x^2-5x-6x+6[/tex]

we need to factorize it so the X-term expanded should satisfy two conditions

1) +5 times +6 should be +30

2) add or subtract any two numbers which multiply and give -11

so here -5 times -6 gives +30 and -5 added to -6 equals -11

Need help thank you very much

Answers

Answer:

The answer to the question provided is

[tex] \frac{5}{24} [/tex]

Answer:

5/24

Step-by-step explanation:

0.21 is the decimal form

The record low for Florida is 2 degrees below zero Fahrenheit and was set on February 13, 1899. The record high is 109 degrees Fahrenheit and was set on June 29, 1931. Which pair of numbers shows these temperatures, in degrees Fahrenheit, written as integers?

2 and 109

2 and -109

-2 and -109

Answers

Answer:

-2 and 109

Step-by-step explanation:

just put that

Answer 2 and -109

Step-by-step explanation:

I did the test

A school district is planning on buying new desks for its classrooms. Each secondary classroom is to have 5 more desks than an elementary classroom. For 20 elementary classrooms and 25 secondary classrooms, a total of 1,115 desks are needed.

How many desks are to be in each secondary classroom?

Answers

Answer:

27

Step-by-step explanation:


What is f(3) in the graph below?*

Answers

Answer:

(3, 2)

Step-by-step explanation:

7) Mr. M can run a mile in 9 minutes. Assuming he can keep that pace, how 2 points
long would it take him to run a 12 km race? Imi-1,61km 1km=0,62mi Round
to the nearest whole minute (calculators permitted)
about 108 minutes
about 67 minutes
about 21 pinutes
about 9 minutes
HELP URGENT PLSSS

Answers

Answer:

I would say about 67 minutes

Andy found these used car prices in the newspaper

Answers

Answer:

Good for him also there is no question

Step-by-step explanation:

Answer: whats the car prices that was in the news paper

Step-by-step explanation:

A book is on sale for 30% off. The sale price of the book is $14. What is the original price of the book

Answers

Since $14 is the price after a 30% discount then $14 is 70% of the original price.

$14/70=x/100 (100% would be the original price)

1400=70x or 1400/70 = $20!

You can double check the work by taking 30% off the $20 (10% would be $2, 30% would then be $6) 20-6=14!

3 over 6=k over 7- find k's value

Answers

Step-by-step explanation:

3/6=k/7

cross multiply then

6k=21

divide by the coefficient of k

k=3.5

3 Select the correct answer. The variable y varles directly as x. When x = 20, y= 12. What is the value of y when x= 15?
А. 7 B. 9 C. 18 D. 25 ​

Answers

Answer:

B.9

Step-by-step explanation:

What I did is I used ratio.

20:12

15:X

Cross multiply:15x12

Answer:180

The answer you get divided by 20.

180/20=9.

Answer:

B

Step-by-step explanation:

Given y varies directly as x, then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition when x = 20, y = 12, then

12 = 20k ( divide both sides by 20 )

k = [tex]\frac{12}{20}[/tex] = [tex]\frac{3}{5}[/tex]

y = [tex]\frac{3}{5}[/tex] x ← equation of variation

When x = 15, then

y = [tex]\frac{3}{5}[/tex] × 15 = 9

Pamela's age is three times Jiri's age. The sum of their ages is 68. What is Jiri's age?

Answers

Answer:

17

Step-by-step explanation:

x + 3x = 68

4x = 68

x = 17

find a number that is exactly halfway between 1 and 27

Answers

Answer:

14

Step-by-step explanation:

A number that is exactly halfway between 1 and 27 is the middle number

In other words, we want to find the median between 1 and 27

Median = (x + y) / 2

Let

x = 1

y = 27

Median = (x + y) / 2

= (1 + 27) / 2

= 28/2

= 14

Therefore, the number between 1 and 27 is 14

Please help
Much appreciated ​

Answers

Answer: First one, 25x^2y^22

Step-by-step explanation:

if you multiply y^5*2 you get y^10 and x^2

that makes x^2y^10

then, if you multiply y^3*4 you get y^12

so you have to add the y s that makes x^2y^22

Apply distributive property to 24a-18b

Answers

Answer:

The answer to this question 6(4a-3b)

Answer:

6(4a-3b)

Step-by-step explanation:

Solve for x: geometry question plz help!!!

Answers

Answer:

6

Step-by-step explanation:

But not too sure tho make sure of it

hello!! how do you find y intercept ​

Answers

Answer:

you find the point where the line intersects

It’s the point on the line where it goes through the y axis

y=2x-6
slope?
y- intercept?

Answers

Answer:

The slope is 2/1 and the y-intercept is -6.

Step-by-step explanation:

With the y=mx+b formula, m is the slope and b is the intercept.

Answer: -6

Step-by-step explanation:

What is 56/8 ? please answer this!

Answers

Answer:

7

Step-by-step explanation:

I'm begging you please help me!!! Thank you! ♡

Answers

according to the person on top it’s D good lucka,

(73 points) Find the value of x.

Answers

Answer:

Option C. [tex]98^{\circ}[/tex]

Step-by-step explanation:

[tex]\angle DAB + \angle BAC = 180[/tex] (the two angles sum to the angle of a straight line: [tex]180^{\circ}[/tex])

[tex]122+\angle BAC = 180[/tex]

[tex]\angle BAC = 180-122[/tex]

[tex]=58^{\circ}[/tex]

[tex]24+58+x = 180[/tex] (sum of interior angles of triangle is [tex]180^{\circ}[/tex])

[tex]82+x=180[/tex]

[tex]x=98^{\circ}[/tex]

∴ Option C is correct.

Hope this helps :)

Jeff and his cousin work during the summer for a roofing company. Jeff's cousin has been working
for the company longer, so his pay is 40% more than Jeff's. Last week his cousin worked 30 hours,
and Jeff worked 25 hours. Together, they earned $562.80. What is Jeff's hourly pay? Explain or
show your reasoning

Answers

Answer:

1

Step-by-step explanation:

doesn't work hard enough

Answer: $7.31

Step-by-step explanation:

30j+40% + 25j= 562.8

30j+25j= 55j

55j + 40% = 562.8

40% of 55 is 22

77j = 562.8

562.8 77 = 7.309090909.....

Simplify 7.309090909

$7.31 Per hour.

Jeff and kevin went to the fair with $20 each. They paid $6 for two rides, $2 for cotton candy and bought two drinks at $3 each. How many money do they have left over?

Answers

Answer:

Jeff and Kevin have $20 left

Step-by-step explanation:

do (20+20)-(6+6)-2-(3+3)=20

select the equation represented by the graph ​

Answers

Answer:

b) y = -2/3 + 1

Step-by-step explanation:

The format for the equation is y = mx + b

(m is the slope, and b is the y intercept)

Slope is rise over run (the units the line moves up and the units the line moves to the right)

In this case, the slope is: -2/3 because it goes down 2 and to the right 3.

The y intercept is 1.

This makes our equation:

y = -2/3 + 1

jody paid $4.50 for 30 stickers. What is the cost per sticker?

Answers

He paid 15 cents per sticker. (0.15)

2. AABC is an isosceles triangle. Find the length of AB.
5x+7
B
5x - 6
3x + 4
С

Answers

do u have snap? there’s a group where we help each other with school

How would i solve this problem example optional

Answers

do u want me to add u to a snap group where we help each other with work

Prove that sin²a + cos²a = 1 and = [tex]\frac{1}{cos^{2}a }[/tex] + tan²a (a not alpha)

Answers

Answer:

[tex]\frac{1}{cos^2a }= tan^2 a[/tex]

Step-by-step explanation:

Explanation:-

Given   sin²a + cos²a = 1  

and

              [tex]\frac{1}{cos^{2} a} \\= \frac{sin^2a+cos^2a}{cos^2a} \\ \\\\ = \frac{sin^2a}{cos^2a} +\frac{cos^2a}{cos^2a}[/tex]

= tan²a + 1



I’ll give brainliest:(
Write a paragraph to proof to show that if <1 and <2 are congruent supplementary angles, then <1 and <2 are right angles

Answers

Answer:

see below

Step-by-step explanation:

we know that

[tex]\angle 1 =\angle 2[/tex]

and that

[tex]\angle 1 +\angle 2 = 180[/tex]

so we substitute angle 2 by angle 1

[tex]\angle 1 +\angle 1 = 180\\\\2\angle 1=180\\\\\angle 1 = 90[/tex]

so there we have it

[tex]\angle 1 = 90 =\angle 2[/tex]

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