Dominique and Ella are comparing
whose jet traveled faster. The graph
shows the relationship between the
total distance Dominique traveled
and the time in hours. The distance
Ella traveled after x hours can be
represented by the equation y - 550x.
Dominique's Travel
5
3300
Distance (mi)
2200
1100
0
2
8
4 6
Time (1)
Who, if anyone, traveled at a faster
speed? Explain.

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[tex] (x + 5)(x - 4)(x + 2) = [/tex]

[tex](x + 5) ({x}^{2} - 2x - 8) = [/tex]

[tex] {x}^{3} - 2 {x}^{2} - 8x + 5 {x}^{2} - 10x - 40 = \\ [/tex]

[tex] {x}^{3} + 3 {x}^{2} - 18x - 40[/tex]

_________________________________

Compare :

[tex] {x}^{3} + 3 {x}^{2} - 18x - 40[/tex]

[tex] {x}^{3} + a {x}^{2} - 18x + b[/tex]

Thus :

[tex]a = 3[/tex]

and

[tex]b = - 40[/tex]

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Answer:

1.375

Step-by-step explanation:

5/8+1/6+7/12

Answer:

1/50

Step-by-step explanation:

Hope this helped have a nice day!

i only know the sceond on and its 100

Answer:

the first empty box is: $25

the third epty box is: $75

the forth empty box is: $200

Step-by-step explanation:

0.5 = $25

Answer:

226.08 in^2

Step-by-step explanation:

The formula for area of a circle is pi*r^2

3^2 = 9

9*3.14 = 28.26

The formula for volume of a cylinder  is surface area times height

28.26*8=226.08

Answer:

H' = (-4,-4)

I' = (-2,-4)

J' = (-2,-5)

Answer:

y = $1433.33

x = -$700

Step-by-step explanation:

Since we are not asked what to find, we can as well find the price of each package.

Let x be the price of one printer

Let y be the price of one computer.

If Package A contains 4 printers and 9 computers and costs $10,100, this is expressed as;

4x + 9y = 10,100 ..... 1

If Package B contains 10 printers and 30 computers and costs $36,000, this is expressed as;

10x + 30y = 36,000

x + 3y = 3600 ...... 2

Solve equation 1 and 2 simultaneously

From 2; x = 3600 - 3y ..... 3

Substitute 3 into 1;

From 1;

4x + 9y = 10,000

4(3600-3y) + 9y = 10,100

14400 - 12y + 9y = 10100

14400 - 3y = 10100

-3y = 10100 - 14400

-3y = -4300

y = 4300/3

y = $1433.33

Substitute y = 1433.3 into 2;

From 2: x+3y = 3600

x + 3(1433.33) = 3600

x+4300 = 3600

x = 3600 - 4300

x = -$700

Answer:

7/20

Step-by-step explanation:

Total probability=1

Total probability of selecting either cherry or raspberry=¼+²/5=13/20

Probability of getting sour apple=1-13/20=7/20

Hello!

[tex]\large\boxed{\text{n = 5, m = 9, x = 512}}[/tex]

An exponential expression in form [tex]\sqrt[z]{x^{y} }[/tex] can be rewritten as [tex]x^{\frac{y}{z} }[/tex] where "z" is the root and "y" is the power. For example:

[tex]x^{\frac{2}{3} } = \sqrt[3]{x^{2} }[/tex].

We can apply this idea to this problem:

[tex](32)^{\frac{9}{5} } = (\sqrt[5]{32^{9} } )[/tex]

Therefore:

n = 5

m = 9

Simplify the expression:

[tex]\sqrt[5]{32^{9} } = (\sqrt[5]{32} )^{9}[/tex]

[tex]\sqrt[5]{32} = 2\\\\2^{9} = 512[/tex]

Therefore, the values of all letters are:

n = 5

m = 9

x = 512

Answer:

n=5

m=9

x=512

Step-by-step explanation:

I believe that guy is right.^

Answer:

y = 1

Step-by-step explanation:

This is because the line intersects the y-axis at 1.

Answer: y=-2x+1

Step-by-step explanation: The slope is -2 and the y-intercept is 1

Answer: 1/12 ml

Step-by-step explanation:

The rate of change is 1/12 ml / °C.

The term "rate of change" (ROC) describes the rate at which something changes over time. Thus, it is not the amount of individual changes themselves but rather the acceleration or deceleration of changes (i.e., the rate). Rate of change is a tool used in finance to comprehend price returns and spot trend momentum.

We have graph which shows change in the volume of the gas sample with respect to the temperature.

So, the rate of change is

= (30- 21.5)/ (100- 0)

= 8.5/100

= 85/1000

≈ 1/12 ml / °C

Learn more about Rate of Change here:

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Answer:

option 3, 45

Step-by-step explanation:

3x - 9° + 30° + 24° = 180° (angle sum property of a triangle)

3x - 9° + 54° = 180°

3x + 45° = 180°

3x = 180° - 45°

3x = 135°

x = 135/3

x = 45°

therefore, option 3 is the correct option

Answer:

There are 30 backpacks on each shelf if thats what your asking

Step-by-step explanation:

Because 2 times 3 is 6 and 5 times 6 is 30

Answer:

the equation forms like this

-2/3 divide x =3/10

Solve for  

x

by cross multiplying.

Exact Form:  

x=− 20/9

Decimal Form:

x=−2.¯2

Mixed Number Form:

x=−2  2/9

Answer:

5

Step-by-step explanation:

Answer:

the correct answer choice would be choice C. or 2√2

Step-by-step explanation:

I have the same assignment in odyssey and other brainly user helped me solve this answer :)

have a nice day!

-cherry  

Answer:

2√2

Hello, the answer to your question would be the above.

Please disregard the user who stated otherwise, the assignment does not ask for a decimal, it only asks for the geometric mean.

Hope this helps.

Answer:

DF=3.75

Step-by-step explanation:

24/6=15/x

cross multiply to get 24x=90

x=3.75

The length of side DF will be 5 units.No more additional information would need to find, all the information is already given.

Congruent triangles are those that are exactly the same size and shape. Congruent is represented by the symbol ≅ When the three sides and three angles of one triangle match the dimensions of the three sides and three angles of another triangle, they are said to be congruent.

All the given information is shown in the figure attached.

Since the two triangles are congruent the ratio of their sides is equal,

BC / EF = AC / EF

Suppose the length of side DF is x.

20/DF=24 /6

20/x = 24 / 6

x = 20 / 4

x=5

DF = 5 units

Thus, the length of side DF will be 5 units.No more additional information would need to find, all the information is already given.

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I think the answer would have to be D. If the diameter, which is the distance from one point on the circle through the center to another point on the circle, is halved then the amount of concrete that will be needed will be multiplied by 4. I think that's right I am so sorry in advance if that was incorrect. Have a beautiful rest of your day. Stay safe. C O V I D - 1 9 IS REAL THIS COULD MEAN YOUR LIFE!!!

Answer:

6 squareoot 6

Step-by-step explanation:

Answer:

72

Step-by-step explanation:

10 times 2 Plus 4 times 3

Answer:

10q + 4 p

=10(2) + 4(3)

=20 + 12

= 32

i think the answer will be 6.

Answer:

x = -7

HI = -18

ID = -36

Step-by-step explanation:

I'm guessing that H is the midpoint, so that would mean DH = HI.

So plug in.

4x + 10 = 2x - 4 (subtract 2x on both sides)

2x + 10 = -4 (subtract 10 on both sides)

2x = -14 (divide by 2 on both sides)

x = -7

PLUG IN TO GET ID because DH + HI = ID

4(-7) + 10 + 2(-7) - 4 (simplify)

-28 + 10 -14 - 4 (collect like terms)

-46 + 10 = -36

ID = -36

HI = 2(-7) -4 (simplify)

HI = -14 -4

HI = -18

Hope this helps!!

Answer:

9.99103139013

Step-by-step explanation:

For the rounded version it would be 10.00 rounded to the nearest whole

Answer:

x=6

Step-by-step explanation:

The value of x is 6.

"It is the line or line segment that divides the angle into two equal parts."

"The point at which the internal angle bisectors of the triangle intersects."

For given example,

AT and BT are angle bisectors of angles A and B respectively.

And T is the incenter.

⇒ TU = TV

⇒ 5x - 24 = 3x - 12

⇒ 5x - 3x - 24 = 3x - 12 -3x

⇒ 2x - 24 + 24 = - 12 + 24

⇒ 2x = 12

⇒ x = 6

Therefore, the value of x is 6.

Learn more about the angle bisector here:

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Answer: x = 5; y = -5

[tex]\left \{ {{-7x-3y=-20} \atop {3x+6y=-15}} \right. \\\\<=>\left \{ {{-7x-3y=-20} \atop {x+2y=-5}} \right. \\\\<=>\left \{ {{-7(-5-2y)-3y=-20} \atop {x=-5-2y}} \right. \\\\<=>\left \{ {{35+14y-3y=-20} \atop {x=-5-2y}} \right. \\\\<=>\left \{ {{11y=-55} \atop {x=-5-2y}} \right. \\\\<=>\left \{ {{y=-5} \atop {x=5}} \right.[/tex]

Step-by-step explanation:

Answer:

x=5

y=-5

Step-by-step explanation:

Answer: The area of the shaded face is 200.

Step-by-step explanation: All of the sides of the 2 squares have side lengths of 10. Multiply 10 and 10. Then, do that on the other sqaure. Lastly, you add the area of those 2 sqaures.

Answer:

5592 pieces of paper

Step-by-step explanation:

Simple multiplication

1398(4)= 5592

Answer:

Its B

Step-by-step explanation:

Answer:

y=25x+50

Step-by-step explanation:

She has to pay a fee of 50 and then 25 a month. X represents months since we don't know how many months she plans to have a membership.