What is the factored form of the expression 5p^3-10p^2+3p-6

9514 1404 393

Answer:

Step-by-step explanation:

Let b represent the speed of runner B. then the ratio of speeds is ...

  b/(b+5) = 8/18

  18b = 8(b +5) . . . . cross multiply

  10b = 40 . . . . . . . . subtract 8b

  b = 4 . . . . . . . . . . . divide by 10

Runner B's speed is 4 mph; runner A's speed is 5 mph more.

Runner A is running at 9 mph; Runner B is running at 4 mph.

Answer:

the answer is [tex]y=-x+5[/tex]

Step-by-step explanation:

I hope this helps! :)

Try using Symbolab, I use it all the time it gives the correct answer and it gives good explanations.

Answer:

2880 if u multiply

Step-by-step explanation:

make me the brainlest

plz

i need 3 more

crown me

Answer:

7.56

Step-by-step explanation:

i did was 49.56 - 42,00 to see how much tip they did.

Answer:

[tex]y=6x-10[/tex]

Step-by-step explanation:

First, we can find the slope using the two given points.

[tex]m=\frac{y2-y1}{x2-x1}=\frac{-22-8}{-2-3}=\frac{-30}{-5}=6[/tex]

Then, we can use the slope we just found and one of the given points to find the y-intercept.

[tex]y=mx+b\\y=6x+b\\8=6(3)+b\\8=18+b\\b=-10[/tex]

And we can put our equation together.

[tex]y=6x-10[/tex]

Hope this helps!

Answer:

149 degrees

Step-by-step explanation:

Since m and n are parallel you need to remember the rules of transversals, this means that <1 and <2 are corresponding. Corresponding angles are always congruent, so we can solve for x by setting them equal to each other.

[tex]8x-1=7x+3[/tex]

First, move the variables to one side, I will move them both to the right, but remember you can do it on either side. To do this subtract 7x from both sides

[tex]8x-1-7x=7x+3-7x[/tex], then simplify

[tex]x-1=3[/tex]

Next, add 1 to both sides to isolate the variable

[tex]x-1+1=3+1[/tex], then simplify

[tex]x=4[/tex]

Now that you know what x equals solve for angle 1, to do this plug 4 in for x in the original equation

[tex]8(4)-1=31[/tex]

Finally, you can solve for <3 because <1 and <3 are supplementary. So to solve add both and set them equal to 180, in this equation let x stand for <3. [tex]180=31+x[/tex], then subtract 31 from both sides [tex]180-31=31+x-31[/tex] and simplify, [tex]149=x[/tex]. So angle 3 is equal to 149.

Answer: No

Step-by-step explanation:

An arithmetic sequence is one where the same number is being added to the number before it. For example, 2, 4, 6, 8..., where 2 is being added to each number.

In this case, however, the number being added is not consistent with this pattern. Between 5 and 9, the difference is 4 and between 9 and 14, the difference is 5, and so forth. This pattern does not follow the rules of an arithemtic sequence.

Answer:

c = 4

Step-by-step explanation:

p(x) is divisible by (x - 3).

So, p(3) = 0

-(3)³ + c(3)² - 4 *3 + 3 = 0

-27 + 9c - 12 + 3 = 0

         9c - 36     = 0

                9c     = 36

                     c = 36/9

c = 4

Answer:

A is the correct answer.

Step-by-step explanation:

Answer:

[tex]y=-\frac{1}{4}x+\frac{9}4}[/tex]

Step-by-step explanation:

Answer:

Step-by-step explanation:

(x₁ , y₁) = (3, -3) & (x₂ , y₂) = (1 , 2)

[tex]slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\[/tex]

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

m = (-1/4)

y - y₁ = m(x - x₁)

[tex]y - 3 = \frac{-1}{4}(x - [-3])\\\\y - 3 = \frac{-1}{4} (x + 3)\\\\y - 3 = \frac{-1}{4}x-\frac{3}{4}\\\\ y = \frac{-1}{4}x-\frac{3}{4} + 3\\\\ y =\frac{-1}{4}x+\frac{-3+12}{4}\\\\ y =\frac{-1}{4}x+\frac{9}{4}[/tex]

Answer:

40m

Steps:

1000cm=10m

72m:18=10:x

x=(10*72)/18 = 40

Hope this helps, have a great day

Answer:

C

Step-by-step explanation:

the square root of 1/4 is 0.5 which is positive, rational, and between 0 and 1

Answer:

The answer is sqaure root of 1/4

Step-by-step explanation:

Your Welcome Plz Mark Brainliest. I got this because the sqaure root of 1/4 is 0.5 which is bewteen 1 and 0 and it is positive and rational! If you are wondering how to get the sqaure root then here is the steps

1. Simple deduction 1/4 in 1 to the power of 2 and 2 to the power of 2

2.We can simplfy this to 1/2 to the power of 2

3. This will equal 1/2 which is also equal to 0.5

Plz condsierdate giving Brainliest Thanks :)

Answer:

(2.4)(10)−4

=20

Step-by-step explanation:

Given :

The cooper family owns a luxery sedan and a compact car the fuel tank capacity for the luxury seden is 22.45 gallon and of the compact car is 8.7 gallons.

To Find :

The difference in the fuel tank of the two car.

Solution :

Capacity of sedan, S = 22.45 gallons.

Capacity of compact car, C = 8.70 gallons.

Difference in the capacity :

D = S - C

D = 22.45 - 8.70 gallons

D = 13.75 gallons

Therefore, difference in the fuel tank of the two car is 13.75 gallons.

Hence, this is the required solution.

Answer:

b

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

The last one I did the math

Answer:

D

Step-by-step explanation:

bc it is just put it

The answer is 100 degree

Answer:

Not all labels will be used. ... They charge a certain rate for the rental of a sailboat and an additional ... according to the length of time for which the tourists rent the boat.

Answer: 44000

Step-by-step explanation:

From the question, we are informed that the population of Queens increased by 16,075.

Brooklyn's population increased by 11,870 more than the population increase of Queens. This means that Brooklyn's population will be:

= 16075 + 11870

= 27945

The total combined population increase of Queens and Brooklyn from 2010 to 2011 will then be:

= 16075 + 27945

Estimating 16075 gives 16000

Estimating 27945 gives 28000

Adding then together equals

16000 + 28000 = 44000

Answer:

7/8 miles

Step-by-step explanation:

1/4 can be rewritten as 2/8 to have the same denominator between the two numbers. 2 2/8 - 1 3/8. 2 2/8 - 3/8 = 1 7/8. 1 7/8 - 1 = 7/8

Answer:

X=135

Step-by-step explanation:

180-69-66=45

And the angle of a line is also 180 and 180-45=135

Answer:

A. X-y=6 and x=y+6 I'm pretty sure

Answer:

c

Step-by-step explanation:

Answer:

The answer to da question is 3

Answer:

Square

Step-by-step explanation:

the quadrilateral obtained by joining the mid points of adjacent sides of a square is a square

Answer:

(1) The slope of the line segment AB is 1.[tex]\bar 3[/tex]

(2) The length of the line segment AB is 10

(3) The coordinates of the midpoint of AB is (5, 7)

(4) The slope of a line perpendicular to the line AB is-0.75

Step-by-step explanation:

The coordinates of the line segment AB are;

A(2, 3) and B(8, 11)

(1) The slope of a line segment is given by the following equation;

[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Where;

(x₁, y₁) and (x₂, y₂) are two points on the line segment

Therefore;

The slope, m, of the line segment AB is given as follows;

A(2, 3) = (x₁, y₁) and B(8, 11) = (x₂, y₂)

[tex]Slope, \, m_{AB} =\dfrac{11-3}{8-2} = \dfrac{8}{6} = 1 \frac{1}{3} = 1.\bar3[/tex]

The slope of the line segment AB = 1.[tex]\bar 3[/tex]

(2) The length, l, of the line segment AB is given by the following equation;

[tex]l = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}[/tex]

Therefore, we have;

[tex]l_{AB} = \sqrt{\left (11-3 \right )^{2}+\left (8-2 \right )^{2}} = \sqrt{64 +36} = 10[/tex]

The length of the line segment AB is 10

(3) The coordinates of the midpoint of AB is given as follows;

[tex]Midpoint, M = \left (\dfrac{x_1 + x_2}{2} , \ \dfrac{y_1 + y_2}{2} \right )[/tex]

Therefore;

[tex]Midpoint, M_{AB} = \left (\dfrac{2 + 8}{2} , \ \dfrac{3 + 11}{2} \right ) = (5, \ 7)[/tex]

The coordinates of the midpoint of AB is (5, 7)

(4) The relationship between the slope, m₁, of a line AB perpendicular to another line DE with slope m₂, is given as follows;

[tex]m_1 = -\dfrac{1}{m_2}[/tex]

Therefore, the slope, m₁, of the line perpendicular to the line AB, that has a slope m₂ = 4/3 = 1.[tex]\bar 3[/tex] is given as follows;

[tex]m_1 = -\left (\dfrac{1}{\frac{4}{3} } \right ) = -\dfrac{3}{4} = -0.75[/tex]

The slope, m₁, of the line perpendicular to the line AB is m₁ = -0.75.

Answer:

[tex]10 {}^{5} = 1000000[/tex]

So,

4.6*1000000

Therefore, 46000000