Use the point in the graph to find the equation of the line in point-slope form

A

y-3=5(x-1)


B

y+3=5(x+1)


C

y+3=5(x-1)

D

y-3=5(x+1)

Answer:

Step-by-step explanation:

This is a linear equation. Mx+b=y.

m=slope

x=x coordinate

y=y coordinate

b=y intercept (where x=0)

For this problem, you need to plug in 2 "coordinates", ex (1,16), and (0,__). You would need to find the slope, which would be y2-y1/x2-x1 (find two "coordinates" and then put it in, order doesn't matter.)

Hope this helps!

9514 1404 393

Answer:

Step-by-step explanation:

Two points are not sufficient to define a graph, so the equation could be anything that gives the listed values.

We note that the given y-values are powers of 2. Specifically, they are 2^4 and 2^8. These powers differ by 4, just as the corresponding x-values differ by 4. This suggests an exponential equation might be good fit:

  y = 2^(x+3)

Simplified, this is ...

  y = 8·2^x . . . . . exponential equation for table values

__

Alternate solution

Often, when only two points are given, a linear function is indicated. We can use the two given points in the 2-point form of the equation for a line to find what the linear equation might be.

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

  y = (256 -16)/(5 -1)(x -1) +16 . . . . with values filled in

  y = 240/4(x -1) +16 . . . . . . . . . . . find the ratio

  y = 60x -60 +16 . . . . . . . . . . . . . eliminate parentheses

  y = 60x -44 . . . . . linear equation for table values

__

The two answers we looked at here are shown in the attached table. There are an infinite number of other possibilities.

Answer:

Step-by-step explanation:

Sum of nth term of a GP is expressed as;

Sn = a(r^n-1)/r-1

The sum of the first 8 terms of a GP is expressed as;

S8 = a(r^8 - 1)/r-1

The sum of first 4 terms is expressed as;

S4 = a(r^4 - 1)/r-1

If the sum of the first 8 terms of a GP is five times the sum of first 4 terms then

S8 = 5S4

a(r^8 - 1)/r-1 = 5[a(r^4 - 1)/r-1]

r^8 - 1 = 5(r^4 - 1)

r^8 - 1 = 5r^4 - 5

r^8 - 5r^4 = -5+1

r^4(r^4 - 5) = -4

r^4 - 5 = -4

r^4 = -4+5

r^4 = 1

r = 1

Hence the common ratio is 1

Answer:

I believe the answer would be 8/13 or 61.5%.

Step-by-step explanation:

Hope this helps :))

Answer:

5

Step-by-step explanation:

Answer:

The answer for the first one is 1/2.

The answer for the second one is -1/1

Step-by-step explanation:

Hope that helps you :)

Answer:

(0, -9)

Step-by-step explanation:

-y= -6x + 9

y = 6x -9

plug in 0 for x

(0, -9)

Answer:

[tex]Monday = -2.5F[/tex]

[tex]Tuesday = -1.9F[/tex]

Step-by-step explanation:

Given

See attachment

Required

Days colder than -1.75°F

From the attachment, we have:

[tex]Monday = -2.5F[/tex]

[tex]Tuesday = -1.9F[/tex]

[tex]Wednesday = 0F[/tex]

[tex]Thursday = -1.5F[/tex]

[tex]Friday = 0.5F[/tex]

Days with temperature less than -1.75°F are colder.

-2.5 and -1.9 are less than -1.75

So, we have:

[tex]Monday = -2.5F[/tex]

[tex]Tuesday = -1.9F[/tex]

Answer:

:)

Step-by-step explanation:

Step-by-step explanation:

so therefore mark jogged 2 36/70km more than his sister

The number of kilometers that Mark jog more than his sister will be 32 / 35 km.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Mark jogged 3 ⁵/₇ km. His sister jogged 2 ⁴/₅ km.

Convert the mixed fraction number into a fraction number. Then we have

3 ⁵/₇ = 3 + 5/7 = 26/7

2 ⁴/₅ = 2 + 4/5 = 14/5

Then the number of kilometers that Mark jog more than his sister will be given as,

⇒ 26/7 - 14/5

⇒ 32 / 35 km

The number of kilometers that Mark jog more than his sister will be 32 / 35 km.

More about the Algebra link is given below.

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Answer:

1244/999

Step-by-step explanation:

So we have 1.245245245245.... which we call x.

If we times this by 1000 (because 3 digits repeat) we get

1000x = 1245.245245245....

Subtract x from both sides:

999x = 1245.245245245... - 1.245245... = 1244

This means that x = 1244/999

This fraction cannot be simplified so this is the answer.

If you want to include the 1 in the repeating (1.2451245...) do the same but the sequence is 4 digits so times by 10000 instead.

Answer:

The question is incorrect. Please rewrite the question.

Answer:

1 x (27a^2+72a+28)  or 1(27a^2+72a+28)

Step-by-step explanation:

First find the GCF (greatest common factor) of 27a squared 72a and 28. It is 1 because there is nothing else that can go in.

So put 1 outside the parentheses and keep the terms

1 x (27a^2+72a+28)

Answer:

Yes they form a proportion.

Step-by-step explanation:

120:3 = 720:18 because:

3x6=18 so multiply 120 by 6 and you get 720. Which means the ratios are proportionate.

Answer:

c=-4, d=-6

Step-by-step explanation:

Answer: 400 acres.

Step-by-step explanation:

We know that 598 is very close to 600, so we can round that amount up.

We also know that 67% is very close to [tex]\frac{2}{3}[/tex] because 2÷3≈0.67 & 67%=0.67

So, we can estimate [tex]\frac{2}{3}[/tex] of 600, which is about 400.

Answer:

I don't know

Step-by-step explanation:

I tried to search it up to get it correct but all it showed me was useless websites that didn't give me the answer

tbh I don't know why I clicked on it. I'm bored and the answer is 7

Answer:

x > -2

Step-by-step explanation:

-6x - 8 < 4

-6x < 12

x > -2

Answer:

1) The  series of equations that can be used to find the numbers are

7·x + 3·y = 54...(1)

x = y + 2...(2)

2) The first number is 6

The second number is 4

Step-by-step explanation:

1) The given parameters for the numbers are;

7 times the first number + 3 times the 2nd number = 54

The first number = The 2nd number + 2

Let 'x' represent the first number and let 'y' represent the second number

The following series of equations can therefore be used in finding the numbers;

7·x + 3·y = 54...(1)

x = y + 2...(2)

2) By substituting the value of x = y + 2 from equation (2) into equation (1) gives;

7·x + 3·y = 54

∴ 7×(y + 2) + 3·y = 54

7·y + 14 + 3·y = 54

10·y + 14 = 54

10·y = 54 - 14 = 40

y = 40/10 = 4

The second number = y = 4

The first number, x = y + 2 = 4 + 2 = 6

The first number, x = 6.

Answer:

The answer is A

Step-by-step explanation:

Answer:

the correct answer is -68

Answer:

8 and half 8/2 8.5, wait or 7/5 or 7.5

Step-by-step explanation:

Answer:

7 1/2

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Fishes doesn't drown duh

Answer:

1224 cm^3

Step-by-step explanation:

volume = bottom area x height

102x12=1224

The fish tank holds 1224 cc of water.

In mathematics, volume is the space taken by an object.

Here, given that,

The area of the bottom of the tank =A= 102 cm²

now, the height of the water in tank = h= 12cm

we know, volume of water= A× h  

                                           =102×12 cc

                                           =1224 cc

Hence, required volume is 1224 cc

To learn more on volume click :

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Given:

Lamont cotton is 4% commission on the first 10,000 of monthly sales and 10% on all sales over 10,000.

Consider his last month sales is 38,000.

To find:

The total commission.

Solution:

4% commission on the first 10,000 of monthly sales is

[tex]10,000\dfrac{4}{100}=400[/tex]

Sales over 10,000 is

[tex]38,000-10,000=28,000[/tex]

10% commission on all sales over 10,000 is

[tex]28,000\times \dfrac{10}{100}=2,800[/tex]

Now, the total commission is

[tex]400+2,800=3,200[/tex]

Therefore, the total commission is 3,200.

Answer:

53.81

Step-by-step explanation:

if u add the tip but the tip by itself is 8.21

Perimeter= 4x+8 and Area= 2x+1x^2+2

I posted a photo on how I found these two answer.

Hope this helped

Answer:

(1,3)

Step-by-step explanation:

:)