Audrey & Jack begin a candlelight

dinner at 5pm with a 9-inch candle. At

8pm, their candle is only 3 inches.

What is the average rate of change of

the height of the candle per hour?

Answer:

A -2

Step-by-step explanation:

the line meets up there and it would be rise divided by run and it would get you -2

Answer:

Step-by-step explanation:

You look at where the lines cross a point, which could be (-1,3) and (0,-2). By looking at the graph and using rise over run, your slope would be -5.

Answer:

x = 3/8

Step-by-step explanation:

[tex]x + \dfrac{1}{4}=\dfrac{5}{8}\\\\\dfrac{4x + 1}{4}=\dfrac{5}{8}[/tex]

Cross multiply,

8*(4x +1) = 5*4

8*4x + 8*1 = 20

32x + 8 = 20

Subtract 8 from both sides

32x = 20 - 8

32x = 12

Divide both side by 32

x = 12/32

x = 3/8

First find the slope:

   m = ( 2 - 1 ) / ( 0 - (-1) ) = 1 / 1 = 1

Set up slope-intercept form:

  y = 1·x +2

Now move x and y to the left and leave 2 on the right:

  -x + y = 2

This is also equivalent to x - y = -2, so that just depends if you want your x coefficient to be positive or negative.

Answer:

Standard form: x - y = -2

Step-by-step explanation:

The standard form of linear equations is Ax + By = C, where A, B, and C are integers; A and B ≠ 0, and A is a non-negative integer.

Given the two points, we must first solve for the value of the slope.

Let (x₁, y₁) = (-1, 1)

    (x₂, y₂) = (0, 2)

Substitute these values into the following slope formula:

m = (y₂ - y₁)/(x₂ - x₁)

m = (2 - 1)/[0 - (-1)]

m = 1/(0 + 1) = 1

Therefore, the value of the slope, m = 1.

Next, we need to determine the y-intercept, which is the point on the graph where it crosses the y-axis.  The y-intercept is also the value of y when x = 0.  One of the given points happens to be the y-intercept, (0, 2). Its y-coordinate is the value of b in the slope-intercept form, y = mx + b. Substitute the slope and the y-intercept into the equation:

y = mx + b

y = x + 2

Next, we need to rewrite the slope-intercept form into its standard form, Ax + By = C:

y = x + 2

Subtract x from both sides:

- x + y = x - x + 2

-x + y = 2

Multiply both sides of the equation by -1, so that the coefficient of x becomes a positive integer:

(-1) (-x + y) = 2(-1)

x - y = -2  ⇒ This is the standard form where A = 1, B = -1, and C = -2

Answer:  D:  3x + 5y = 2

Step-by-step explanation:

D.  Divide 21 x + 35 y – 14 = 0 by 7 to get:

                  3x  +   5y   -2   = 0

Rearrange:  3x + 5y = 2

Answer:

-5

Step-by-step explanation:

substitute -b for -12 and add 7

Answer:

33074

Step-by-step explanation:

Please give brainliest

Answer:

[tex]2 + 2 + 30 + 40 + 15000 + 18000 = 33074[/tex]

[tex]i \: hope \: it \: is \: helpfull[/tex]

Answer:

1 cuz 7+1=8

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

x=7

y=1

7+1=8

Step-by-step explanation:

2x+y+5=0 is the required equation of the line

Answer:

forty six hundred thousand tweny five thound and six hundred eighty nine

six hundred and fifty eight hundred nine thoundsand two and two hundred and fifty

Step-by-step explanation:

Answer:

(2;5)

Step-by-step explanation:

Elimination:

Let's first multiply the first by 2 to clear fractions and write them both in standard form:

[tex]\left\{ {x-2y=-8} \atop {2x+y=9}} \right. \\[/tex]

Eliminate x: Multiply the first by 2, then subtract the equations:

[tex]2I-II: 2x-4y-2x-y=-16-9\\-5y=-25 \rightarrow y= 5[/tex]

Eliminate y: Multiply the second by 2, then add equations:

[tex]I+2II: x-2y +4x+2y = -8+18\\5x=10 \rightarrow x=2[/tex]

Subtsitution

Solve the first for y (oh, what a coincidence, it's done already!) and replace the value in the second.

[tex]\frac12x +4 = -2x+9 \rightarrow \ x+8=-4x+18\\x+4x = 18-8 \rightarrow 5x=10 \rightarrow x=2[/tex]

Then let's plug this value into a convenient one - let's say, the first - and find y from there:

[tex]y=\frac12\cdot 2 +4\rightarrow y =1+4 \rightarrow y=5[/tex]

If anyone tries saying it's not substitution, bring the system in standard form, as you did for the elimination method, then solve again for y.

Answer:    5/6 = 10/12

Step-by-step explanation:  

Answer:

the first

Step-by-step explanation:

Answer:

x=116°

Step-by-step explanation:

we have two parallel line and x=116

Answer:

f(66) = -3

Step-by-step explanation:

f(x) = 8 - x/6                     Substitute 66 for the vale of x and solve

f(66) = 8 - 66/6

f(66) = 8 - 11

f(66) = -3

Answer:

To find the sum of interior angles in a polygon, we can use the formula:

[tex]180(n-2)[/tex] where n is the number of sides.

Since this is pentagon (5 sides), then [tex]180(5-2)=180*3=540[/tex]

The missing angle would then be

[tex]540-97-111-104-115=113[/tex]

Since angles on a straight line add up to 180, then

[tex]x+113=180[/tex]

[tex]x=67[/tex]

[tex]v^2 = u^2 + 2as \\\\\implies 2as = v^2 -u^2 \\\\\implies s = \dfrac{v^2 - u^2}{2a}[/tex]

Answer:

  C.

Step-by-step explanation:

The equation will have no solution if it reduces to the form ...

  1 = 0

Other possible forms are ...

  0 = 0 . . . . infinite solutions

  y + c = 0 . . . . one solution

___

The given equations can be reduced to one of these forms by subtracting the right-side expression from both sides.

  A. 2.3y +2 +3.1y -(4.3y +1.6 +1.1y +0.4) = 0   ⇒   0 = 0   (infinite solutions)

  B. 32x +25 -21x - 10x = 0   ⇒   x +25 = 0   (one solution)

 C. 5/8x +2.5 -(3/8x +1.5 +1/4x) = 0   ⇒   1 = 0   (no solutions)

  D. 1/3 +1/7y -3/7y = 0   ⇒   y -7/6= 0   (one solution)

Answer:

  y = -1.2x² +6.6x +2

Step-by-step explanation:

The quadratic regression function of a calculator or spreadsheet can do this for you. The resulting function is ...

  y = -1.2x² +6.6x +2

_____

If you want to do this by hand, put the given (x, y) values into the formula ...

  ax² +bx +c = y

and solve the resulting system of equations.

The third point tells you c=2, so you can simplify the system of equations to ...

  a(-2)² +b(-2) +2 = -16   ⇒   4a -2b = -18   ⇒   2a -b = -9

  a(3)² +b(3) +2 = 11   ⇒   9a +3b = 9   ⇒   3a +b = 3

Adding these equations together gives ...

  (2a -b) +(3a +b) = (-9) +(3)

  5a = -6 . . . . . . . . simplify

  a = -1.2 . . . . . . . divide by 5

  b = 3 -3a = 3 -3(-1.2) = 6.6 . . . . from the second equation

Now we know the coefficients are a=-1.2, b=6.6, c=2, so the function is ...

  y = -1.2x² +6.6x +2

Answer:

3/8 or 0.375

Step-by-step explanation:

............

Answer:

5/4

Step-by-step explanation:

Area of a rectangle = length * width

A = 3/4, W = 3/5, L = ?

3/4 = L * 3/5

[tex]\frac{3}{4}= L\frac{3}{5}[/tex]

L * 3 * 4 = 3 * 5

12L = 15

L = 15/12 = 5/4

Answer:

vertical angles are =

Step-by-step explanation:

Answer:

x=5/6 y=8/5

Step-by-step explanation:

times the second one w 2

equals to -12x+10y=-6

then add this to the above one together,you can eliminate the x, then solve an equation w only y.

after you get y, get it into whatever the above one or below one,you will get the x as well

Answer:

x = 5/6

y = 1 and 3/5

Step-by-step explanation:

12x + 15y = 34

-6x + 5y = 3

12x + 15y = 34

3(-6x + 5y = 3)

12x + 15y = 34

-18x + 15y = 9

30x = 25

30x/30 = 25/30

x = 5/6

-6x + 5y = 3

-6(5/6) + 5y = 3

-5 + 5y = 3

+5          +5

5y = 8

5y/5 = 8/5

y = 1 3/5

Answer:

24x-6

Step-by-step explanation:

To find the perimeter we have to ads all of our sides to together

8x-3+8x-3+4x+4x

Combine light terms

24x-6

Replace h with 34:

p(h) = 21(34)

Multiply :

21x 34 = 714

Answer: $714

Answer:

x = 20*

Step-by-step explanation:

180 - 110 = 70

90 - 70 = 20

x = 20*

reason is #5 Algebra

Have a nice day! :-)

[tex]\\ \sf\longmapsto 12x-15[/tex]

Distributive property

Take 3 common

[tex]\\ \sf\longmapsto 3(4x-5)[/tex]

Done

Answer:

"In the following figure"?

There is no following figure

Step-by-step explanation:

Answer:

1. 5 + r/14

2. 3x -4 = 23

Answer:

1. 5 + r/14

1. 3x - 4 = 23

Step-by-step explanation:

1. Remember, the quotient is obtained by dividing one quantity by another. In the sentence it is stated that "the quotient of r and 14" which means: r divided by 14.

The sentence models 5 + r/14

2. We are to subtract 4 from the product of 3 and x. So part of the equation looks like: "3x-4". Since it is stated that 23 is the total sum, then the answer is: 3x - 4 = 23

Answer:

y - 6 = 1/4(x - 4).

Step-by-step explanation:

The slope m = (7-6)/(8-4) = 1/4

y - y1 = m(x - x1)

Using the point (4, 6)

y - 6 = 1/4(x - 4)  (answer)

The equation of line passes through the points (4, 6) and (8, 7) will be;

⇒ y = 1/4x + 5

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

Two points on the line are (4, 6) and (8, 7).

Now,

Since, The equation of line passes through the points (4, 6) and (8, 7) .

So, We need to find the slope of the line.

Hence, Slope of the line is,

m = (y₂ - y₁) / (x₂ - x₁)

m = (7 - 6) / (8 - 4)

m = 1 / 4

m = 1/4

Thus, The equation of line with slope 1/4 is,

⇒ y - 6 = 1/4 (x - 4)

⇒ 4 (y - 6) = x - 4

⇒ 4y - 24 = x - 4

⇒ 4y = x - 4 + 24

⇒ 4y = x + 20

⇒ y = 1/4x + 5

Therefore, The equation of line passes through the points (4, 6) and

(8, 7) will be;

⇒ y = 1/4x + 5

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