A straight-line graph

• has gradient 4

• crosses the y axis at (0, −3).

Write down the equation of the graph.

Answer: 4 * (12.75 + x) = 61

Step-by-step explanation:

Each of the 4 friends paid $12.75 so that is:

= 4 * 12.75

Assuming the tip is denoted as x it would be:

= 4x

Putting them together is:

4 * (12.75 + x) = 61

Solving the equation would give:

4 * (12.75 + x) = 61

51 + 4x = 61

4x = 61 - 51

x = 10/4

x = $2.50

Answer:

They can make 5 posters.

Answer:

taking log on both side

(x+2)log(32) = xlog(2)

product rule you can use out here U.V formula after that it will give you answer

Answer:75.00

Step-by-step explanation:750 x 5% x 2 = 75

Answer:

24

Step-by-step explanation:

9+6(2+3/6)

9+6(2+1/2)

2+1/2 = 2.5

9+6(2.5)

9+15

24

Answer:

Step-by-step explanation:

I would love to answer you but there are no questions.

Answer:

y = − 2 /3 x − 7

Step-by-step explanation:

Use the slope formula and slope-intercept form  y = m x + b  to find the equation.

❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤

Hey buddy ....

I really appreciate God to give me this chance to help u.

Let's see what to do...

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

First we need to find the slope of the line using this equation :

Suppose a = ( - 6 , - 3 ) , b = ( - 3 , - 5 )

[tex]slope = m = \frac{y(b) - y(a)}{x(b) - x(a)} \\ [/tex]

Just need to put the coordinates in the equation:

[tex]slope = \frac{ - 5 - ( - 3)}{ - 3 - ( - 6)} \\ [/tex]

[tex]slope = \frac{ - 5 + 3}{ - 3 + 6} \\ [/tex]

[tex]slope = \frac{ - 2}{ - 3} \\ [/tex]

[tex]slope = \frac{3}{2} \\ [/tex]

====================================

We have this equation as the point-slope form of the linear functions :

[tex]y - y(one \: \: of \: \: the \: \: given \: \: points) = (slope) \times ( \: x - x(o \: o \: f \: t \: g \: p) \: ) \\ [/tex]

Now just need to put the slope and one the given points ( a or b ) in the above equation:

I like to use a ( you can use b bro )

[tex]y - ( - 3) = \frac{3}{2} \times (x - ( - 6) \: ) \\ [/tex]

[tex]y + 3 = \frac{3}{2} \times (x + 6) \\ [/tex]

[tex]y + 3 = \frac{3}{2} x + 9 \\ [/tex]

Subtract sides 3

[tex]y + 3 - 3 = \frac{3}{2} x + 9 - 3 \\ [/tex]

[tex]y = \frac{3}{2} x + 6 \\ [/tex]

And this is the equation of the line.

So we're done.....

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

Take care dude ❤❤❤❤❤

❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤

Answer:

the top right hand corner

Step-by-step explanation:

Answer:

-20

Step-by-step explanation:

-20 + 6 = -14

Answer:

P-6= -14equation)

p= -8 (answer)

Step-by-step explanation:

Well to solve this first make it into an equation to solve it

Since its difference between P and 6

so

p-6=-14

Now solve it normally

p= -8

There you go!

Answer:

x=26

Step-by-step explanation:

let take the 3rd angle of the triangle y

2x + 76 + y = 180 ( angle sum property)

y = 180 ‐ 76 ‐ 2x

y = 104 ‐ 2x

5x ‐ 2 + y = 180 ( linear pair)

5x‐2+104‐2x = 180 ( y = 104 ‐ 2x)

3x+102=180

3x=180‐102

x=78/3

x=26

hope this ans will help u

Answer:

[tex](x - y)(x + y + 1)[/tex]

Step-by-step explanation:

[tex]x(x + 1) - y(y + 1)[/tex]

Lets expand it.

[tex] = > {x}^{2} + x - {y}^{2} - y[/tex]

Lets re-arrange it.

[tex] = > {x}^{2} - {y}^{2} + x - y[/tex]

[tex] = > (x + y)(x - y) + 1(x - y)[/tex]

Lets take (x - y) common.

[tex] = > (x - y)[(x + y) + 1] [/tex]

[tex] = > (x - y)(x + y + 1)[/tex]

(x-y)(x+y+1)

Step-by-step explanation:

x2+x-y2-y

(x+y)(x-y)+(x-y)

(x-y)(x+y+1)

Answer:

Anna received $1000

Barbara received $600

Chrissy received $400

Step-by-step explanation:

Let us solve the problem

∵ The ratio of Anna, Barbara, and Chrissy is 5: 3: 2

∵ Barbara received $400 less than Anna

→ That means Anna - Barbara is 400, find the difference between their ratio

∵ The difference between their ratio = 5 - 3 = 2  

→ By using the ratio method

→  Anna  :  Barbara  : difference

→  5        :  3              :  2

→  A        :  B             :  400

→ By using the cross multiplication

∵ A × 2 = 5 × 400

∴ 2A = 2000

→ Divide both sides by 2

∴ A = 1000

∴ Anna received $1000

∵  B × 2 = 3 × 400

∴ 2B = 1200

→ Divide both sides by 2

∴ B = 600

∴ Barbara received $600

Let us use the ratio between Anna and Chrissy to find the amount of Chrissy

→  Anna  :  Chrissy

→  5        :   2

→  1000  :   C

→ By using cross multiplication

∵ 5 × C = 2 × 1000

∴ 5C = 2000

→ Divide both sides by 5

∴ C = 400

∴ Chrissy received $400

Answer:

the answer will be 3

Step-by-step explanation:

do the parenthesis first

Answer:

The probability of randomly selecting a grape toothpaste is 4:20.

Step-by-step explanation:

I hope this helps and I hope u have an Amazing Day!

Answer:

The theoretical probability of selecting a grape toothpaste is 4/20.

Step-by-step explanation:

There are 20 toothpastes in total, you want to find out about the grape. The chances of you picking grape is out of 20, so it's 4/20 since there's only 4 grape.

Answer:

b.

Step-by-step explanation:

Answer:

B. increased resistance to environmental factors

Step-by-step explanation:

Answer: 12 tablespoons

Step-by-step explanation:   8 tablespoons 1/2 cup 4 fluid ounces

12 tablespoons 3/4 cup 6 fluid ounces

16 tablespoons 1 cup 8 fluid ounces

2 cups 1 pint 16 fluid ounces

Given:

An exterior angle of a triangle = 2x+30°

Two opposite interior angles are 33° and 41°.

To find:

The value of x.

Solution:

According to the exterior angle thereom, the exterior angle of a triangle is equal to the sum of opposite interior angles.

Using exterior angle theroem, we get

[tex](2x+30)^\circ=33^\circ+41^\circ[/tex]

[tex](2x+30)^\circ=74^\circ[/tex]

[tex](2x+30)=74[/tex]

On further simplification, we get

[tex]2x=74-30[/tex]

[tex]2x=44[/tex]

[tex]x=\dfrac{44}{2}[/tex]

[tex]x=22[/tex]

Therefore, the value of x is 22.

Answer:

Green Lawns is more expensive

Step-by-step explanation:

Take the hours provided in the table and place them into the function

y=10x + 15

Then compare to Green Lawns.

For 2 hours:

y = 10 * 2 + 15 = $35 / hr

For 3 hours:

y=10 * 3 + 15 = $45 / hr

I think it's a pretty sure

Answer:

perpendicular

Step-by-step explanation:

Answer:

289=289

Step-by-step explanation:

[tex]8^{2}[/tex]+[tex]15^{2}[/tex]=[tex]17^{2}[/tex]

64+[tex]15^{2}[/tex]=[tex]17^{2}[/tex]

64+225=[tex]17^{2}[/tex]

289=[tex]17^{2}[/tex]

289=289

Answer:

3gallons per minute

Step-by-step explanation: