Write the equation of a line that passes through ( 4, 6), and has a slope of 1/3

Answers

Answer 1

Answer:

y = 1/3x + 14/3

Step-by-step explanation:

y = mx + b

we know the slope, so the equation would be --> y = 1/3x + b

Now we plug in the coordinates of the given point (4, 6) the line goes through, and solve for b:

y = 1/3x + b

6 = 1/3(4) + b

6 = 4/3 + b

-4/3   -4/3

----------------

14/3 = b


Related Questions

Can someone please show me how to solve (-6)=-x+b with steps?

Answers

Answer:

x = 6+b

Step-by-step explanation:

-6 = -x+b

Subtract b from each side

-6-b = -x+b-b

-6-b = -x

Multiply each side by -1

6+b = x

help me solve this question

Answers

Answer:

if you scored a 83 on every test in a class your standard deviation would be 0. The point is that the bigger the standard deviation the more "variation" you will find in the raw numbers.... "D" (international equities) is the answer to this question...

it has the highest percent for the standard deviation, this it is the

MOST IN-COSISTENT

Step-by-step explanation:

6(a+2b+3c)=6, left parenthesis, a, plus, 2, b, plus, 3, c, right parenthesis, equals

Answers

Ok so it would be 13

f(2) if f(x) = 3x + 5. f(2)?

Answers

Answer:

f(2) = 11

Step-by-step explanation:

Plug 2 in for x

3(2) + 5

6 + 5

= 11

in a certain country, 40% of registered voters are reublicans, 45% are democrats, and 15% are indepdents. what is the probability that a randomly selected voter opposes the bill

Answers

15 percent is correct

If a set S has a total of 6 subsets that consist of 2 members each, then S consists of how many members

Answers

A set S has four members if there are six subsets of it, each with two members.

The combination formula, which is given by: can be used to determine the total amount of subsets with two members each.

[tex]^nC_k= \dfrac{n!}{(k!(n-k)!)}[/tex]

There are 6 subsets in this situation, each with 2 members.

So, [tex]^nC_2[/tex] = 6

Simplifying the equation:

n! / (2!(n-2)!) = 6

n(n-1) / (2 x 1) = 6

n(n-1) / 2 = 6

n(n-1) = 12

Expanding the equation:

[tex]n^2 - n = 12[/tex]

[tex]n^2 - n - 12 = 0[/tex]

Factoring the quadratic equation:

(n - 4)(n + 3) = 0

When all factors are set to zero and n is calculated:

n - 4 = 0    or    n + 3 = 0

n = 4        or    n = -3

Since n must be a positive integer.

So, n = 4 is the valid solution.

Thus, set S consists of 4 members.

Learn more about Combination here:

https://brainly.com/question/28720645

#SPJ12

evaluate the expression when x=3

Answers

Answer:

2.   12

5.   30

Step-by-step explanation:

Put 3 instead of x

2.   [tex]\frac{36}{x}[/tex]

    = [tex]\frac{36}{3}[/tex]

    = 12

5. 10x

   = 10 × 3

   = 30

6 4/5 + 3 2/3
add and simplify ​

Answers

Answer:

10 3/5

Step-by-step explanation:

6 4/5 + 3 4/5

First convert to improper fraction,

34/5 + 19/5

Then add the improper fractions,

=>53/5

Then convert improper fraction to mixed fraction,

=> 53/5 = 10 3/5

100 points-Victoria has $200 of her birthday gift money saved at home, and the amount is modeled by the function h(x) = 200. She reads about a bank that has savings accounts that accrue interest according to the function s(x) = (1.05)^x−1. Explain how Victoria can combine the two functions to model the total amount of money she will have in her bank account as interest accrues after she deposits her $200. Justify your reasoning.

Answers

Step-by-step explanation:

Our interest equation is s(x) = (1.05)^(x - 1). This is actually a part of a bigger formula for calculating the amount of money accumulated including interest:

A = P(1 + r)^n, where A is the total, P is the principal amount (initial amount), r is the interest rate, and n is the time

Here, we technically already have the (1 + r)^n part; it's just (1.05)^(x - 1). The principle, though, will actually be the 200 because she starts out at $200.

Thus, to combine these, we simply multiply them together to get:

h(x) * s(x) = 200(1.05)^(x - 1)

ps.can u pls mark me as the brainliest you'll also get point for that;)

Victoria can combine the two functions to model the total amount of money. Then the equation will be given below.

[tex]\rm h(x) \times s(x) = 200 \times (1.05)^{x-1}[/tex]

What is compound interest?

Compound interest is the interest on a loan or deposit calculated based on the initial principal and the accumulated interest from the previous period.

Victoria has $200 of her birthday gift money saved at home, and the amount is modeled by the function

[tex]\rm h(x) = 200[/tex]

She reads about a bank that has savings accounts that accrue interest according to the function

[tex]\rm s(x) = (1.05)^{x-1}[/tex]

[tex]A = P(1 + r)^n[/tex]

where A represents the sum, P represents the principal (starting amount), r represents the interest rate, and n represents the time.

To combine these, we simply multiply them by each other, yielding:

[tex]\rm h(x) \times s(x) = 200 \times (1.05)^{x-1}[/tex]

More about the compound interest link is given below.

https://brainly.com/question/25857212

A ray extends forever. True or false

Answers

false

false

false........

false

Answer:

it extends forever in one direction. so false i guess

Step-by-step explanation:

solve
pls need help
pls answer now

Answers

k/3 + 4 - 5k = -2k / · 3

k + 12 - 15k = -6k

k - 15k + 6k = -12

-8k = -12 / : (-8)

k = 12/8

k = 3/2 ← the end answer

Answer: A)

Can anyone write out "the sum of 2 and the quotient of b is 5 when b equals 9" in numbers?

Answers

Answer:

2+b=5, b=9

Step-by-step explanation:

NJ Transit raises its train fees. Snooki wants to visit her parents which used to cost $28 but they increased the fares by 15%. What will the ticket cost now?

Answers

Answer: 32.20$ Train Fee

Step-by-step explanation:

15% of 28 is 4.20... 4.20 will be added to the current Train Fee

   28.00$

 +   4.20$

    32.20$

Final result: The Train Fee will be 32.20$

make d the subject of the formula h= d/3 + 2

Answers

Answer:

d= 3h-6

Step-by-step explanation:

h= d/3+2

h-2= d/3

d= 3(h-2)= 3h-6

Answer:

d = 3h - 6

Step-by-step explanation:

[tex]h = \frac{d}{3} + 2[/tex]

subtract 2 on all sides :

[tex](h) - 2 = (\frac{d}{3} + 2) - 2 \\ \\ h - 2 = \frac{d}{3} [/tex]

multiply 3 on all sides:

[tex](h - 2) \times 3= \frac{d}{3} \times 3 \\ \\ 3(h - 2) = d[/tex]

open bracket:

[tex]d = 3h - 6[/tex]

Escribe ordenadamente cinco números enteros que sean mayores que -2, con el signo adecuado

Answers

Answer:

-1, 0, 1, 2, 3

Step-by-step explanation:

Los números son mayores a medida que se mueven hacia la izquierda de la recta numérica, por lo que retrocederá desde -2

Please Help Me Do This I cant understand it no matter how hard I try. (Problem in the image)

Answers

Answer:

7.3

Step-by-step explanation:

The length of AB is found using the distance formula

We need to know the coordinates of A and B

A = (-5,-4) and B = (-3,3)

The distance is

d = sqrt ( (y2-y1)^2 + (x2-x1)^2)

   = sqrt( (3 - -4)^2 +(-3 - -5)^2)

   = sqrt( (3+4)^2 +(-3+5)^2)

   = sqrt(7^2+2^2)

   = sqrt(49+4)

  = sqrt(53)

  =7.280109889

To the nearest hundredth

 =7.3

What is the probability of all 3 coins landing on heads

Answers

There are 8 possibilities when flipping three coins and the possibility of getting all heads is 1 out of 8.

1. h h h

2. h h t

3. h t h

4. h t t

5. t t t

6. t t h

7. t h t

8. t h h

Therefore the probability is:1/8

Solve the system of equations.
y=3x + 24
y=9x

Answers

Answer:

x = 4

y = 36

Step-by-step explanation:

use substitution

y=3x+24

y=9x

therefore . 9x=3x+24

x = 4

sub 4 in for x and solve for y

y = 9(4) = 36

Please help I’ll give brainly !! FAST THANK YOUUUU

Answers

The opposite of cubing a number is called it's Cube root.All integers have only one cube root.

[tex]\\ \rm\longmapsto \sqrt[3]{8}=2[/tex]

[tex]\\ \rm\longmapsto \sqrt[3]{-8}=-2[/tex]

Answer:

All integers have only one cube root.

Because it is an inverse of an odd degree (3) exponent.

x³ = 8∛x³ = ∛8x = 2

And

x³ = -8∛x³ = ∛-8x = -2


If Y=x-5 and 20y -5y=15 what is the value of X?

Answers

Answer:

X=6

Step-by-step explanation:

20 × 1 or y = 20

5 × 1 or y = 5

20 - 5 = 15

1 or y + 5 = 6

does the table represent a function

Answers

Answer:

Yes, the table represents a function.

Step-by-step explanation:

A function doesn't have multiple x values (inputs).

If the table were to have more than one 5 (or more than one 4 etc.) in the input column then it would not be a function.

Two less than the product of 3 and a number is equal to 6

Answers

Answer:

8/3

Step-by-step explanation:

Let x represent the number.

Create an equation to represent the situation, and solve for x:

3x - 2 = 6

3x = 8

x = 8/3

So, the number is 8/3.

the temperature was -6 degree ferahit. it rose so that the temperature was 0 degree ferahit . what represents the change in temperature

Answers

Answer:-6+6=0

Step-by-step explanation: basically just put the sentence into an equation.

d=degrees farenheit

-6d+6d =0d

Answer:

if ur wondering on how to solve it u should solve it by an equation.

Step-by-step explanation:

just make sure to explain us answer and the answer is 6+6=0

The area of a circle is 78.5 cm^2. What is the diameter of the circle?
-5 cm
-10 cm
-12.5 cm
-39.25 cm

Answers

Answer:

10cm

Step-by-step explanation:

78,5=pi.r^2

Answer5:

Step-by-step explanation:

the length of each side of a square is multiplied by 4. how many times longer is the new perimeter than the old perimeter??

Answers

Answer:

The answer will befour times

The school choir ordered 436 pumpkin pies to sell as a fundraiser. The pies were shipped in 4 bins. Each bin held the same number of pies how many pies were in each bin

Answers

109 pumpkins

Step-by-step explanation:

I don't think this is right but

the set of all natural numbers less than 15 write set build notation​

Answers

Answer:

{x : x Σ N, x<15}

Step-by-step explanation:

Set of all natural number less than 14 = {x : x Σ N, x<15}

4. Factor: x2 – 36


Help please and show me the work on how to do it

Answers

Step-by-step explanation:

(X)^2 - (6)^2

= (x-6)(X+6)

Answer:

[tex](x - 6) \times (x + 6)[/tex]

Step-by-step explanation:

[tex] {x}^{2} - 36[/tex]

write in exponential form.

[tex] {x}^{2} - {6}^{2} [/tex]

factor:

[tex](x - 6) \times (x + 6)[/tex]

A wall is 4200 sq ft.
A gallon of paint covers 600 sq ft.
Complete the conversion factor: 1 gallon / ? sq ft

Answers

Answer:

1 gallon = 600 sq ft. So you will need 7 gallons to cover the whole wall

Step-by-step explanation:

4200 ÷ 600 = 7

Answer:

7

Step-by-step explanation:

Divide the total wall space by the amount in 1 gallon: 4200/600= 7

So you would need 7 gallons to paint the whole wall.

Is that what you were looking for?

Evaluate the variable expression x + y for the given values of x and y. x = 38,221; y = 51,671

Answers

Answer:

89,892

Step-by-step explanation:

[tex]x+y[/tex]

[tex](38,221)+(51,671)[/tex]

[tex]89,892[/tex]

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