Mathematics High School

Find the constant of proportionality (r) in the equation y=rx

Answers

Answer 1

Answer:

r = [tex]\frac{1}{4}[/tex]

Step-by-step explanation:

Given the proportional equation

y = rx ← r is the constant of proportion

Divide both sides by x

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

Use any ordered pair from the table.

Using (8, 2 ) , then

r = [tex]\frac{2}{8}[/tex] = [tex]\frac{1}{4}[/tex]

Answer 2

Answer:

1/4

Step-by-step explanation:

Multiplying the input (x) by (1/4) results in the output. This is direct proportion, and the constant of proportionality is (1/4).

Related Questions

-6k+1=-2+7k
Help plz !

Answers

Answer:

k=3/13

Step-by-step explanation:

Rearrange terms

Subtract

from both sides of the equation

Simplify

Subtract

from both sides of the equation

Simplify

Divide both sides of the equation by the same term

Simplify

Answer:

[tex]k=\frac{3}{13}[/tex]

Step-by-step explanation:

[tex]-6k+1=-2+7k[/tex]

Subtract 1 from both sides:-

[tex]-6k=7k-3[/tex]

Now, Subtract 7k from both sides:-

[tex]-6k-7k=7k-3-7k[/tex]

[tex]-13k=-3[/tex]

Divide both sides by -13:-

[tex]\frac{-13k}{-13}=\frac{-3}{-13}[/tex]

[tex]x=3/13[/tex]

OAmalOHopeO

If x+y=10 and x-y=4 find the value of x2-y2

Answers

Answer:

Step-by-step explanation:

[tex]x^2 - y^2 = (x+y)(x-y) = 10\times 4 = 40[/tex]

The points A,B and C have coordinates (2,1), (b,3) and (5,5), where b>5 and angle ABC = 90 degrees. Find b.

Answers

Answer:

b=6

Step-by-step explanation:

modul of the vector AB= sqrt((b-2)^2+(3-1)^2)= sqrt (b^2-4b+8). It is the length of the side AB

modul of the vector BC is equal to sqrt ((b-5)^2+(-2)^2)= sqrt (b^2-10b+29)

modul of the vector AC is sqrt ((5-2)^2+(5-1)^2)= 5

squared modul of AB + squared modul of BC = squared modul of the vector AC.

b^2-4b+8+b^2-10b+29=25

2b^2-14b+12=0

b^2-7b+6=0

b=1 b=6

b>5, s0 b=6

Casey went to the store and purchased 12 pairs of socks, and 3 pairs of shoes for $18.20 each. She spent a total of $81.60. How much did she pay for each pair of socks?

Answers

$2.25/ per pair of socks

3x18.20 = 54.6
81.6 - 54.6 = 27
27/12 = 2.25
Answer 2.25

Find the 7th term of the geometric sequence shown below
- 5x^4, 20x^7, -80x^10,..

Answers

Answer:

- 5x^4, 20x^7, -80x^10, 320x^13, -1280x^16, 5120x^19, -20480x^22

Integer scale factor = x-4

Exponent scale factor = +3

Answer = -20,480x^22

West Street Middle School received 18 new computers for the me center. Now there are 31 computers in the media center. How man computers were there before they received the new computers?

Answer: length is 22m and breadth is 40m.

Step-by-step explanation:

breadth = b

length = 18+b

perimeter of rectangle = 2(l+b)

124 = 2(18+b+b)

or, 124 = 36 + 4b

or, 124-36 = 4b

Answer:

my answer is Rs 57

remember it says remaining copies so u much find the 5% from the price of 900 copies

Someone help please.

Answers

Answer:

Translation (the +5)

Dilation (the x 4)

Compression (the 3 to 1/3, and the x to 2-x)

Step-by-step explanation:

Brainliest, please!

Please help me!!! I’ll give brainly!
Given that -3 is a root of the function h(x)=x^3+2x^2-5x-6, use synthetic division and factoring to indent idt the other roots.

Answers

Answer:

Step-by-step explanation:

{x:x is a natural number and x is greater than 70} write the set in listed form.

Answers

Answer:

{71,72,73,74,75,76,77,78,79,80}

Step-by-step explanation:

natural numbers start from one but it says greater than 70 so it will start from 71 but to any number as long as it is greater than 70

write a polynomial in standard form with the zeros –4 0 1 and 4

Answers

Step-by-step explanation:

Hi there!

Zero of the polynomial is the value of "X" that gives final answer as zero.

So, as the polynomial in the second gives zero every time when we keep the zero which are given in the question. It is the answer.

Check:

• x⁴ - x³ - 16x² + 16x

(-4)

Keep the value -4 as the value of X in polynomial.

= (-4)⁴-(-4)³ -16*(-4)²+16*(-4)

= 256+64-256-64

= 0

Keep the value 0 as the value of X in polynomial.

= (0)⁴-(0)³ -16*(0)²+16*(0)

= 0-0-0+0

= 0

Keep the value 1 as the value of X in polynomial.

= (1)⁴-(1)³ -16*(1)²+16*(1)

= 1-1-16+16

= 0

Keep the value 4 as the value of X in polynomial.

= (4)⁴-(4)³ -16*(4)²+16*(4)

= 256 - 64-256+64

= 0

Therefore, the correct answer is option B.

Hope it helps!

Select all solutions to the equation (2x — 4)(x + 5) = 0.

x = -1/2

x = 1/2

x = -2

x = 2

x = -5

x = 5

Answers

Answer:

(2x-4) (x+5)=0

2x(x+5) -4(x+5)=0

2x^2+10x-4x-20=0

2x^2+6x-20=0

x^2+3x-10=0 ( Taking common of 2 )

x^2+(5-2)x-10=0 • (3=(5-2)x)

x^2+5x-2x-10=0

x(x+5)-2(x-5) =0 • Taking common

(x+5)(x-2) =0

so x=-5 or x=2.

The solutions to the equation (2x — 4)(x + 5) = 0 will be negative 5 and 2. Then the correct options are D and E.

What is the solution to the equation?

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

The equation is given below.

(2x - 4)(x + 5) = 0

The factors (2x - 4) and (x + 5) will be zero. Then we have

2x - 4 = 0

2x = 4

x = 4/2

x = 2

Then the other solution to the equation will be

x + 5 = 0

x = -5

The solutions to the equation (2x — 4)(x + 5) = 0 will be negative 5 and 2. Then the correct options are D and E.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ5

Write an absolute value inequality for the graph below. Use x for your variable.

Answers

Answer:

|x| ≥ 7

Step-by-step explanation:

Taking the absolute value means that any value of x will always be positive, meaning that the absolute value of -7 or less would be 7 or greater, which satisfies the inequality above and line graph.

Absolute value is 7 or greater.

What is inequality?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

p ≠ q means that p is not equal to qp < q means that p is less than qp > q means that p is greater than qp ≤ q means that p is less than or equal to qp ≥ q means that p is greater than or equal to q

As, absolute value means that any value of x will always be positive.

So, the absolute value according to -7 or less would be 7 or greater,

Hence, absolute value is 7 or greater.

Learn more about inequality here:

https://brainly.com/question/20383699

#SPJ2

what is the smallest 4 digit number that is both a perfect square AND a perfect cube?

thank you so much for your time, and thank you so so much if you answer my question!! I will give brainliest if I can!

Answers

Answer:

The answer is 1024

Step-by-step explanation:

Hope I am correct

Answer:4096

Step-by-step explanation: Considering that 4096 is a perfect square and perfect cube. Also that being the smallest 4 digit number 4096 is the correct answer

Jayla and her mom are making a cake.
They add % c flour and 3/2 c sugar.
:)
If the total amount of batter is 4 lc,
how many cups of other ingredients
are included?

The text in the bottom of the v=10 is what I’m confused in

Answers

Answer:

Other ingredients is 2

v =10 is the answer of 5th question (-40)/-4 = 10

Step-by-step explanation:

I. Find sum of flour and sugar

when c is cup, flour = 3/4 and sugar is 3/2

[tex]\frac{3}{4} +\frac{3}{2} = \frac{9}{4}[/tex] or [tex]2\frac{1}{4}[/tex]

II. If total is [tex]4\frac{1}{4}[/tex]

so [tex]4\frac{1}{4} - 2\frac{1}{4}[/tex] = 2

Hope that help :D

Can somone help me pls

Answers

Answer:

Step-by-step explanation:

Answer:

D A B C

Step-by-step explanation:

Greater than means line going right

Less than means line going left

Open circle means no equal to sign

Closed circle means equal to sign

solve for x =
a 9
b 7
c 4

Answers

2x = 3*6
2x = 18
x = 9

help please I need help
[tex]40x = 60x(x - 1) \\ \\ 7 \times \frac{7x}{2} - 29x = - 9 [/tex]

Answers

Answer:

[tex]40x = 60(x - 1) \\ \\ 2x = 3x - 3 \\ \\ x = 3 \\ \\ \\ 7 \times \frac{7x}{2} - 29x = - 9 \\ \\ 49x - 58x = - 18 \\ \\ - 9x = - 18 \\ \\ x = 2[/tex]

Answer:

#140x = 60x(x - 1)40x = 60x² - 60x60x² - 100x = 03x² - 5x = 0x(3x - 5) = 0x = 0 or3x = 5 ⇒ x = 5/3#27×7x/2 - 29x = - 949x/2 - 29x = - 949x - 58x = - 18-9x = -18x = -18/-9x = 2

Which equation has the same solution as x2 + 12x +8= -5?

Answers

Answer:

Hope its help you...........

problem #1 help please

Answers

Take a clear pic please #1

ok how do you add pictures

Answers

Ohh well when u type in another question it should show a pic option at the bottom once your done typing whatever is u wish to ask :)

someone help pls I need help

Answers

Answer:

(a) Mixed fraction.

(b) 13.244

(d) [tex]12 \frac{13}{55} [/tex]

Sorry that I can't add step-by-step explanation. I don't have enough time.

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