Ashley just lit a new candle and then let it burn all the way down to nothing. Let LL represent the length of the candle remaining unburned, in inches, tt hours after candle was lit. A graph of LL is shown below. Write an equation for LL then state the slope of the graph and determine its interpretation in the context of the problem.

Answer:

2(x-2)(x+3)(x-8)

Step-by-step explanation:

The LCM of [tex](x+3)^2(x-2)[/tex] and [tex](x+3)(x^2-16)[/tex] is x + 3

Option A is correct

The task is to find the LCM of the expressions:

[tex](x+3)^2(x-2)[/tex] and [tex](x+3)(x^2-16)[/tex]

Note that:

[tex](x^2-16)=(x-4)(x+4)[/tex]

Therefore, the expression [tex](x+3)(x^2-16)[/tex] will become:

[tex](x+3)(x-4)(x+4)[/tex]

By considering the expressions [tex](x+3)^2(x-2)[/tex] and [tex](x+3)(x^2-16)[/tex], it is observed that x + 3 is common to both expressions.

Therefore, the LCM of [tex](x+3)^2(x-2)[/tex] and [tex](x+3)(x^2-16)[/tex] is x + 3

Learn more on LCM here: https://brainly.com/question/13066728

Answer:

Step-by-step explanation:

Given

Find

  The length of each light saber, rounded up to the nearest foot.

Solution

The attached scale drawing shows the triangles with the angles and sides filled in.

The angle at the Jedi's hand is 2a = 2(37°) = 74°. If L represents the Jedi's light saber length, then the cosine relation is useful:

  Cos = Adjacent/Hypotenuse

  cos(74°) = (1.4 ft)/L

  L = (1.4 ft)/cos(74°) ≈ 5.08 ft

Rounded up to the nearest foot, the Jedi's light saber is 6 ft long.

__

The angle at Darth's hand is ...

  5c = 5(16°) = 80°

and the length of the opposite side is ...

  b/14 = 63/14 = 4.5 . . . feet

The sine relation is useful here. If L represents Darth's light saber length, then ...

  Sin = Opposite/Hypotenuse

  sin(80°) = (4.5 ft)/L

  L = (4.5 ft)/sin(80°) ≈ 4.57 ft

Rounded up to the nearest foot, Darth's light saber is 5 ft long.

Answer:

790

Step-by-step explanation:

Yaa baby

Answer:

honestly i think its 2f=9x

Step-by-step explanation:

might not be 2f=9x but make sure to chexk your answer

Answer:

51

Step-by-step explanation:

Because 5.1 times ten equals 51 because if you times ten by 5 u get 50 and then do .1 times ten you get 1

Answer:

The second one

Step-by-step explanation:

Answer:mark me a brainiest pls

that is a linear function search it up on Google youl get the answer from there

Answer: is ( 1,4 )

Step-by-step explanation:

Answer: 81 to 19

Step-by-step explanation:

Answer:

[tex]c=\frac{d + ab}{a}[/tex]

Step-by-step explanation:

Step 1: Write equation

[tex]a(c-b)=d[/tex]

Step 2: Solve for c

Answer:

c=d+ab/a

Step-by-step explanation:

a( c-b)= d

ac - ab= d

   +ab    +ab

ac= d-ab

/a      /a

c= d+ab/a

Answer:

14 is the value

Step-by-step explanation:

Answer:

y=x+4

Step-by-step explanation:

Solve with the point-slope formula: y-y1=m(x-x1). The line is parallel; both slopes are equivalent. Plug in the coordinates we have into the formula, along with the slope from the original equation (-1). To check, we can plug the coordinates back into the equation.

y-(1)=-1(x+3)

y-1=x+3

y=x+4

Check:

(1)=(-3)+4

1=1

Answer:

75%

Step-by-step explanation:

distrubutive property

because you'll have to distribute the in inverse integer in the right and on the left .

Answer:

A D F E

Step-by-step explanation:

Answer:

aa cc dd ee would be the correct answers.

Step-by-step explanation:

Complete Question:

Michael's family was traveling to visit prospective colleges. They drove to the closest college that interested him, took a tour, and then drove to another college a little farther from home. The graph shown represents the situation.

Part A:

Enter a number in search box to complete the domain and range.

Domain ___ ≤ x ≤ ___

Range ___ ≤ y ≤ ___

Part B:

Is the statement, "the graph is continuous", true or false?

Answer:

Part A:

Domain: 0 ≤ x ≤ 5

Range: 0 ≤ y ≤ 300

Part B: True

Step-by-step Explanation:

Part A:

The domain of the function represented on the graph includes all values x plotted in the x-axis, which represents the time (hrs) travelled during the tour.

The domain is [0, 5]. The journey started at 0 mins and ends at 5 mins.

Domain can be represented as 0 ≤ x ≤ 5

The range of the function includes all values on the y-axis of the function that are plotted on the graph. The range is the set of distance covered from from during the tour.

Range is [0, 300].

This can be represented as 0 ≤ y ≤ 300.

The maximum point is at the point on the graph, when x = 5, and y = 300. This implies that it took them 5 mins to cover 300 miles during the tour.

Part B:

The graph is continuous because the line of the graph has no breaking point from start to finish.

The statement is true.

Answer:

ECB

ACB

CDE (if it doesn't matter what order the letters are in)

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

-2x+y=-7

Take the -2x and put it on the other side of the equation by changing the sign

y=-7+2x

Now put it in y intecpet form by putting the 2x first

y=2x-7

Slope is the number before the x.

so 2

Now knowing that parallel lines always have the same slope the answer is 2

Answer:

A) y = 2(x-1)^(2 )- 4

Step-by-step explanation:

Answer:

Answer Y=2(X-1)^(2)-4

Answer:

9.6*10^negative 3

Step-by-step explanation:

Move the decimal place over 3 times to the right which gives you 9.6. Since you went to the right it would have to be negative 3. So 9.6*10^-3

Answer:

Symmetric property of equality

Step-by-step explanation:

The symmetric property of equality states values are still equal no matter which side of the equal sign they're on.

Answer:

Z=0.8

Step-by-step explanation:

Step-by-step explanation:

Combine the opposite terms

2z+2+4z=7

Add

2z and 4z

6z+2=7

Move all terms not containing z to the right side of the equation.

Subtract 2 from both sides of the equation.

6z=7−2

6z=5

Divide each term:

6z/6 = 5/6

Decimal Form:

z=0.8

Answer:

[tex]10^4[/tex]

Step-by-step explanation:

All you have to di is subtract the exponents.

Answer:

Let x = the smaller number

Let 3x + 15 = the larger number

x + 3x + 15 = 63

4x = 48

x = 12

3(12) + 15 = 51

Step-by-step explanation:

I hope this helps

Answer:1

Step-by-step explanation: 36(1)=36 and the square root of 36 is 6

6x6=36

Answer:

1

Step-by-step explanation:

Answer:

992

Step-by-step explanation:

1. 800/1 x 6/100 = 48 x 4 = 192 +800 = 992

2. 6 x 4 =24

800/1 x 24/100 = 192 + 800 = 992

Answer:

7.) a. 84 hundredths

8.) 6(.36)= 2.16 meters

9.) 9.40÷4= 2.34 meters

I cant see 10 clearly

11.) No because if you multiply 2×4 you get 8 so .814 wouldn't be reasonable

Answer:

x = 2

z = 93°

Step-by-step explanation:

set the top and bottom equations equal to each other...

5x + 77 = 9x + 69, solve for x...

subtract 69 and 5x from both sides...

8 = 4x

divide both sides by 4...

x = 2

substitute 2 for x in either equation...

5(2) + 77 = 87°

subtract 87 from 180...

180° - 87° = 93°

z = 93°