H

1.2.3
The equation of a line is written as the dependent variable (y) is equal to the slope (m) times the
independent variable (x) plus the y-intercept (b). Write an equation to represent the scenario.

Answer:

$42.75

Step-by-step explanation:

14.25

x     3

---------

42.75

Answer:$42.75

Step-by-step explanation: You just take the $14.25 and triple it.

Answer:

Line b and line c are perpendicular.

Step-by-step explanation:

In order to find if the lines are parallel, perpendicular or neither, their slopes have to be found.

Slope is denoted by m and is calculated as:

[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]

Here (x1,y1) and (x2,y2) are the coordinates of the point through which the line passes.

Let m1 be the slope of line a

and line a passes through (−2, 1) and (0, 3)

[tex]m_1 = \frac{3-1}{0+2} = \frac{2}{2} = 1[/tex]

Let m2 be the slope of line b which passes through (4, 1) and (6, 4)

[tex]m_2 = \frac{4-1}{6-4} = \frac{3}{2}[/tex]

Let m3 be the slope of line c which passes through (1, 3) and (4, 1)

[tex]m_3 = \frac{1-3}{4-1} = \frac{-2}{3}[/tex]

When two lines are parallel, their slopes are equal.

When two lines are parallel, the product of their slope is -1

None of the slopes are equal to each other so none of the lines are parallel

And

[tex]m2.m3\\= \frac{3}{2} * -\frac{2}{3}\\= -1[/tex]

Hence,

Line b and line c are perpendicular.

Answer:

[tex]{:}\longrightarrow[/tex][tex]\sf 2x^3+20x^2+2ax^2+20ax [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 2x^2 (x+10)+2ax (x+10)[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf (x+10)2x^2+2ax[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf (x+10)2x (x+a)[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 2x (x+a)(x+10)[/tex]

Answer:

The answer is really simple

Step-by-step explanation:

52.93-4.37 which is 48.56

Answer:

Step-by-step explanation:

a. Yes is proportional with the cost because they depend on one another

b. (0,0) means if we buy 0 cookies we pay $0

c. (1, 0.50) means that if we buy 1 cookie we have to pay $0.50

d. the unit rate is how much we pay for one cookie so is $0.50 per 1 cookie

Answer:

9,450

Step-by-step explanation:

10 cant go into the others because they end with a 5

Answer: The area of the larger square is 9 times the area of the smaller square.

Step-by-step explanation:

Answer:

12,16

Step-by-step explanation:

multiple of 4

4,8,12,16

12+16=28

Answer:  what the other guy said 69

Step-by-step explanation:

Answer:

Cant you just look it up?

Step-by-step explanation:

Answer:

I'm not that smart :/

Step-by-step explanation:

Answer:

The answer is 15 units is the answer boom

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

Answer:

The standard deviation of the sampling distribution    σₓ = 0.013

Step-by-step explanation:

Explanation:-

Mean of the Population  μ = 9.70 ounces

Standard deviation of the Population σ = 0.03 ounces

Given size of random sample 'n' =5

The standard deviation of the sampling distribution

               σₓ = σ/√n

            [tex]S.D = \frac{0.03}{\sqrt{5} } = 0.013[/tex]

Answer:

9:5 = 1428:x

ratios can also be written as fractions, so

9/5 = 1428/x

solve for x

9/5 × x = 1428

x = 1428 / (9/5)

x = 918

Answer:

1. x = 8

2. w = -13

3. y = 108 (i am not sure for this one).

4.  z = -159

Step-by-step explanation:

HOPE THIS HELPS

PLZZ MARK BRAINLIEST

Answer:

The total budget for their student film was $540

Step-by-step explanation:

The total percentage of any quantity is 100%

∵ A group of friends was working on a student film

∵ They spent all their budget on props and costumes

∴ The total budget of the props and costumes = 100%

∵ They spent $243 on props

∵ They spent 55% of the total budget on costumes

→ Find the percentage of the props

∴ The percentage of the props = 100% - 55%

∴ The percentage of the props of the total budget = 45%

→ That means 45% of the total budget = 243

∵ 45% × total budget = 243

→ Change the percent to a number by divide it by 100

∵ 45% = 45 ÷ 100 = 0.45

∴ 0.45 × total budget = 243

→ Divide both sides by 0.45

∴ The total budget = 540

∴ The total budget for their student film was $540

Answer:

154

Step-by-step explanation:

Answer:

5x-17-8x-3=14

-3x=14+17

x=31/-3

x=8.333333

Answer:

Only table C shows proportional relationship

Step by Step Explanation:

Given

Tables A, B an C

Required

Which table shows proportional relationship?

In table A .

x = 2 and y = 20

k = 20/2

k = 10

Also, x = 12, y = 132

k =. 132/12.

k = 11

Both values of k are not equal.

Hence, the table is not proportional

In table B

x = 5 and y = 20

k = 20/5

k = 4

Also, x = 7, y = 30

k =. 30/7

k = 4.29

Both values of k are not equal.

Hence, the table is not proportional

In table C

x = 9 and y = 90

k = 90/9

k = 10

Also, x = 14, y = 140

k =. 140/14

k = 10

Also, x = 24, y = 240

k =. 240/24

k = 10

All values of k are equal.

Hence, the table is proportional

Answer:

C.

Step-by-step explanation:

i tried it on khan and it said I was right trust me :)

Answer:

B 2.95

Step-by-step explanation:

The magnitude of w is |w| = 2.95 , Option B is the correct answer.

Any object that has both magnitude and direction is called a Vector.

It is given that

|u| = 2 at 0 degree

|v| = 4 at 45 degree

The magnitude of the vector w = | u -v| = ?

The resultant angle will be 45 degree

By applying Cosine law

w = | u -v| = [tex]\rm \sqrt { u^2 + v^2 - 2*u*v*cos \theta}[/tex]

w = | u -v| = [tex]\rm \sqrt { 2^2 + 4^2 - 2*2*4*cos 45^o}[/tex]

w = 2.947 = 2.95

Therefore the magnitude of w is |w| = 2.95 , Option B is the correct answer.

To know more about Vector

https://brainly.com/question/24256726

#SPJ2

Answer:

0

Step-by-step explanation:

Answer:

I read it.. I don't know.. It's just saying we can't really cheat, it's not too bad.

Answer:

Step-by-step explanation:

1 in: 30 km

4.3 inches * 30km= 129 km

Since every inch is the same as 30 km.

Second problem

20 test: 163 mins

8.15 mins per test

44*8.15= 358.6 mins round to the nearest whole is 359 mins

Given:

The value of the function g(x) is −2 when x=−5 and is 5.7 when x=6.

To find:

The equation of the function.

Solution:

The value of the function g(x) is −2 when x=−5. It means the graph of function passes through (-5,-2).

The value of the function g(x) is 5.7 when x=6. It means the graph of function passes through (6,5.7).

The equation of function g(x) that passes through (-5,-2) and (6,5.7) is

[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

[tex]y-(-2)=\dfrac{5.7-(-2)}{6-(-5)}(x-(-5))[/tex]

[tex]y+2=\dfrac{5.7+2}{6+5}(x+5)[/tex]

[tex]y+2=\dfrac{7.7}{11}(x+5)[/tex]

[tex]y+2=0.7(x+5)[/tex]

[tex]y+2=0.7x+3.5[/tex]

Subtract 2 from both sides.

[tex]y=0.7x+3.5-2[/tex]

[tex]y=0.7x+1.5[/tex]

Therefore, the equation of function g(x) is [tex]y=0.7x+1.5[/tex].

Answer:

a) The difference of a number and six is no less than 15

x - 6 ≥ 15

b) 25 plus a number is at least 13

25 + x ≥ 13

c) g decreased by 25 is at most five

g - 25 ≤ 5

Step-by-step explanation:

a) The difference of a number and six is no less than 15

Let the number be represented by x

We difference is involved in a mathematics question, it requires the application of Subtraction operation, hence:

x - 6 ≥ 15

b) 25 plus a number is at least 13

Let the unknown number be represented by x

When at least is used in Mathematics, is means greater than or equal to a particular value,

Hence,

25 + x ≥ 13

c) g decreased by 25 is at most five

At most means less than or equal to a particular value, hence:

g - 25 ≤ 5

Answer:

rate of change is 2

Step-by-step explanation:

better thank this