Write a sentence to answer each question:

a) How much warmer is 82 than 40?

b) How much warmer is 82 than -40?

Answer: -10,-5,3,15

A,C,D,E

The next one is a= -5, b=1, c=-5, d=-12

The last one is 3 & 4

The rational root theorem is used to determine the potential roots of a function.

The potential roots are: [tex]\mathbf{-10, -5, 3, 15}[/tex]

The function is given as:

[tex]\mathbf{P(x) = x^3 + 6x^2 - 7x - 60}[/tex]

For a polynomial function:

[tex]\mathbf{P(x) = px^n +.............+ q}[/tex]

The potential roots are:

[tex]\mathbf{Roots = \pm \frac{Factors\ of\ q}{Factors\ of\ p}}[/tex]

The factors of 60 are:

[tex]\mathbf{60 = \pm 1, \pm 2, \pm 3, \pm 4, \pm 5, \pm 6, \pm 10, \pm 12, \pm 15, \pm 20, \pm 30, \pm 60}[/tex]

The factor of 1 is:

[tex]\mathbf{1 = \pm 1}[/tex]

So, we have:

[tex]\mathbf{Factors= \frac{\pm 1, \pm 2, \pm 3, \pm 4, \pm 5, \pm 6, \pm 10, \pm 12, \pm 15, \pm 20, \pm 30, \pm 60}{\pm 1}}[/tex]

[tex]\mathbf{Factors= \pm 1, \pm 2, \pm 3, \pm 4, \pm 5, \pm 6, \pm 10, \pm 12, \pm 15, \pm 20, \pm 30, \pm 60}[/tex]

The potential roots in the option are:

[tex]\mathbf{Factors= -10, -5, 3, 15}[/tex]

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Answer:

((7

Step-by-step explanation:

Answer:

It is not

Step-by-step explanation:

It is not because this is an exponential function

y=x^2

1^2=1

2^2=4

3^2=9

4^2=16

Answer:

3

Step-by-step explanation:

13 ÷ 4 = 3.25

but you wont by .25 of a shirt so he can only buy 3 shirts

Answer:

Johan spends $70.50.

Step-by-step explanation:

3 * 2 * 11.75 = 70.50

Answer: 1/(x+2)Step-by-step explanation:=(x-2)(1)/(x-2)(x+2) cancel (x-2)=1/(x+2)

Step-by-step explanation:

Answer:

I have the same questions and I got them right

Step-by-step explanation:

1.) P(2)=4/25

2.) P(4)= 5/25= 1/5

3.) P(2,3)=5/25= 1/5

4/25+1/25= 5/25= 1/5

4.) P(2,4,6)=16/25

4/25+ 5/25+ 7/25= 16/25

5.)There are three even numbers so, 3/6= 1/2. So, 1/2.

6.) P(1, 2, 3, 4, 5, 6)= 25/25 = 1

6/25+ 4/25+ 1/25+ 5/25+ 2/25+ 7/25= 25/25 = 1

P(1)= 6/25   P(2)= 4/25 P(3)= 1/25 P(4)= 5/25 P(5)= 2/25 P(6)= 7/25

Answer:

1450/29.6 = 49 seconds

Step-by-step explanation:

have a good day but please give me a brainliest

Answer:

x- intercept = 2, y- intercept = - [tex]\frac{8}{7}[/tex]

Step-by-step explanation:

To find the x- intercept, let y = 0 in the equation and solve for x

4x - 7(0) = 8 , that is

4x = 8 ( divide both sides by 2 )

x = 2 ← x- intercept

To find the y- intercept , let x = 0 in the equation and solve for y

4(0) - 7y = 8, that is

- 7y = 8 ( divide both sides by - 7 )

y = - [tex]\frac{8}{7}[/tex] ← y- intercept

Answer:

Im a little confused on what your asking but for 0.4 as a decimal is 0.4,for a fraction 0.4 is 2/5 and for a percent 0.4 is 40%

Step-by-step explanation:

I hope this helps!!

Answer: The answer is 64 remaining 5.

Step-by-step explanation:

Answer:

65 with a remaining of 1

Step-by-step explanation:

Answer: 2.5-1.4=1.1 your welcome

Answer:

1.1

Explanation:

If you subtract 2.5 by 1.4, you get 1.1

I'VE SAVED THE DAY MARK ME THE BRAINLIEST

Answer:

D

Step-by-step explanation:

Answer:

3.05 ft

Step-by-step explanation:

Answer: 13,12,5

Step-by-step explanation:

According to the triangles inequality : The sum of any two sides of a triangle must be greater than the third.

since [tex]6+5 =11 \ngtr 15[/tex]

[tex]20+10=30\ngtr40\\\\ 16+2=18\ngtr19[/tex]

Only pipe lengths with measure 13,12,5 can form triangle as

13+12 >5

12+5>13

13+5>12

Hence, the correct option is 13,12,5.

Answer:

Step-by-step explanation:

1/3(12x+6x-21)

Take 1/3 of everything in the ()

4x+2x-7 combine like terms

6x-7

The equivalent expression is 6x - 7

Given the function 1/3(12x+6x-21), to get the equivalent expression, we will open the parenthesis using the distributive law;

= 1/3(12x+6x-21)

=  1/3(12x) + 1/3(6x) - 1/3(21)

= 4x + 2x - 7

On simplification, the resulting expression will be:

= 6x - 7

Hence the equivalent expression is 6x - 7

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Answer:

quadrilateral

Step-by-step explanation:

Answer:

1 3/8 pounds

Step-by-step explanation:

divide 8 1/4 by 6

Answer:

The amount she started with $20

Step-by-step explanation:

Let the amount Ahmya started with = x

when she bought $10 shirt, the remaining money is = x - 10

she spent half of this remaining money on dinner = [tex](\frac{x- 10}{2} )[/tex]

amount left after this = [tex](\frac{x- 10}{2} )[/tex]

she further spent $4 on cofee, the remaining money = [tex](\frac{x- 10}{2} )[/tex] - 4

she also spent 1/4 of remaining money on souveniers = [tex]\frac{1}{4}(\frac{x-10}{2} - 4)[/tex]

amount left = [tex]\frac{3}{4}(\frac{x-10}{2} - 4)[/tex]

The two last fractions should sum up to 1;

[tex]\frac{1}{4}(\frac{x-10}{2} - 4) + \frac{3}{4}(\frac{x-10}{2} - 4) = 1\\\\\frac{x-10}{8} -1 + \frac{3x-30}{8} -3= 1\\\\\frac{x-10}{8} + \frac{3x-30}{8} = 1+3+1\\\\\frac{x-10}{8} + \frac{3x-30}{8} = 5\\\\\frac{x-10 +3x-30}{8} = 5\\\\\frac{4x-40}{8} =5\\\\4x-40 =40\\\\4x =80\\\\x = 20[/tex]

x = $20

Therefore, the amount she started with $20

9514 1404 393

Answer:

  Albert Einstein

Step-by-step explanation:

Einstein formulated the special and general theories of relativity, completely revising the laws of physics that had been accepted up to that point in time. Among many results was the equation saying matter and energy are the same thing:

  [tex]E = mc^2[/tex]

The change in kinetic energy of the car is -83439.06 joules.

The change in kinetic energy of an object is equal to the final kinetic energy minus the initial kinetic energy.

Since the car comes to rest after hitting the tree, its final kinetic energy is 0.

The initial kinetic energy of the car can be calculated using the formula KE = 1/2 m v², where KE is the kinetic energy, m is the mass of the object, and v is the velocity.

Plugging in the values, we get:

KE = 1/2 × 1622 kg × (11.3 m/s)²

KE = 1/2 × 1622 kg × 128.69 m²/s²

KE = 83439.06 kg m²/s²

To convert this value to joules, you can use the conversion factor 1 joule = 1 kg m²/s².

The change in kinetic energy of the car is equal to the final kinetic energy minus the initial kinetic energy, or 0 - 83439.06 kg m²/s² = -83439.06 kg m²/s².

Therefore, the car's kinetic energy dropped by -83439.06 joules.

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#SPJ1

Answer:

-11

Step-by-step explanation:

Answer:

Once 2 people answer there will be a crown at the bottom right hand corner of both questions. Then once you click on one they get 6 extra points and brainliest answer for that question. Only one person can have it so choose wisely. Have a nice day! (would appreciate brainliest!)

Answer:

If two people answer a question, the person who asked the question has the option to give brainliest to one person out of the two. Hope this helped! May I have Brainliest?

Step-by-step explanation:

Answer:

r = 5y/8

Step-by-step explanation:

isolate the variable by dividing each side by factors that contain the variable.

Answer:

32 days is my final answer

Step-by-step explanation:

Answer:

64

Step-by-step explanation:

Answer:

its 6 because the lines show they are parellel so it has to be equal to 18 and 12 plus 6 is 18

Step-by-step explanation: