10y 5 +30y 3 −15y
Factor out the gcf then simplify the polynomial

Answers

Answer 1

10y⁵ + 30y³ - 15y =

5y * 2y⁴ + 5y * 6y² + 5y * (-3) =

5y (2y⁴ + 6y² - 3)


Related Questions

Please help, again. I really need this grade!

Answers

S= 140/18= 7.77, SD =2.58;
H=1208/18= 67.11, SD= 4.54

(5,63), (7,61), (4,60), (6.5,64), (12,77), (9,72), (8,66),(4,65), ((9,70), (8,69),(7.5,65),(4,62), (6.5,65), (6,66), (11.5,67),(10.5,71), (10.5,74),(11,71)

An appliance store sells an oven for 25% off the original price. The sale price is $251.85, not including tax. What is the price of the oven, not including tax, before the discount is applied?

Answers

$335.8
Take 251.85/75 and you get 3.358, multiply by 100 and you get your answer

Which inequality is shown in the graph?

Answers

Answer:

Step-by-step explanation:

Find the value of x. Round to the nearest tenth of a unit. Show work.

Answers

Answer:

x = 41.16

Step-by-step explanation:

The value of the top angle in the triangle is equal to 90° - 27° = 63° as they are complementary anglesTo find x, take the tan ratio of the angletan63° = 1.96tan63° = x/21⇒ x/21 = 1.96⇒ x = 21 * 1.96⇒ x = 41.16

Answer:

x=41.2

Step-by-step explanation:

Assuming that the dotted line and the vertical line form a 90 degree angle, we can find the angle measurements of the triangle.

Since there is a 90 degree angle formed between the dotted line and the vertical line, subtracting 27 from 90 will get us the angle measure of one of the vertex of the triangle.

90-27=63 degrees

Now we can use trig. ratios to help us figure out the missing side.

tan(63)=x/21

x=tan(63)*21

x=41.21482062

x=41.2

Hope this helps!!!

A store is open for business while it is being renovated. The noise from the renovation is increasingly driving

away customers. The daily revenue, r (d), the store has made d days since renovation began is modeled by the

function r (d) = 10,000 (0. 939)d. What is the factor of decay in this function?

A

1. 9539

B

10,000

с

0. 0461

D

0. 9539

Answers

The factor of decay in the function that represents the daily revenue of the store is 0.939.

What is the factor that represents decay?

The factor that represents decay is the factor that reduces the growth rate of revenue for this store. In the given function, the factor that represents decay would have a value that is less than one.

To learn more about exponential functions, please check: https://brainly.com/question/26331578

What is the value of x? The figure is not drawn to scale. Show work

Answers

Answer:

x = 21.

Step-by-step explanation:

AS there are parallel lines:

4/12 = 7/x

4x = 84

x = 84/4 = 21.

divide y⁴-2y³-7y²+8y+12 by (y-3) using long division method
please give answer​

Answers

Is this correct please ?

A bus makes 28 stop every 2 hours. How many stops does it make in 5 hours?

Answers

Answer:

70 stops

Step-by-step explanation:

To find the amount of stops it makes in an hour, do 28 stops ÷ 2 hours, which will give you 14 stops in one hour.

Then do 14 stops × 5 hours, which would give you 70 stops.

Here's the notation if you want to make it look pretty:

 [tex]5(\frac{28}{2} )=70[/tex]

ABSOLUTE VALUE FUNCTION
PLS HELP WILL GIVE BRAINLY FOR CORRECT ANSWER ONLYY

Answers

B) [tex]\sf y=\left|x-3\right|[/tex]

The original graph has x-intercept : 3   ||  y-intercept : 3

Calculate the y-intercept and x-intercept for every function.

Here in option B,

y-intercept:

y = |x-3|

y = |0-3|

y = 3

x-intercept:

0 = |x-3|

x - 3 = 0

x = 3

Thus option B is correct.

What is the area of this figure?

Answers

Answer:

56 im pretty sure not my level but if i did it right it should be but if it is wrong im sorry

Step-by-step explanation:

Answer:

58.5 ft ^2

Explanation:

You find the area of the 3 individual shapes then add them together.

Can someone please help me?

Answers

Question 4:

   2x + 3y = 17    -- equation 1

   5x + 6y = 32  -- equation 2

    (equation 1) * 2

    4x + 6y = 34 -- equation 3

    (equation 2) - (equation 3)

     x = -2 -- equation 4

     plug (equation 4)'s value of x into (equation 1)

     2(-2) + 3y = 17

     3y - 4 = 17

      3y = 21

         y = 7

      Thus the answer is x = -2 and y = 7

Question 5:

  The vertex form of a quadrilateral looks like this:

      [tex]y = a(x-h)^2 + k[/tex]

a : coefficient of [tex]x^2\\[/tex](h,k): coordinate of the vertex.

    The x-coordinate of the vertex is equal to '-b/2a'. Where b is the

     coefficient of x, so:

          [tex]h = -\frac{b}{2a} =-\frac{-8}{2*1} =4[/tex]

     

    There is also another formula to find the y-value of the vertex

    coordinate, but the easier way to find it is to plug it into the original

    equation:

        [tex]k=(4)^2-8(4) + 12= 16 -32 + 12 = -16 + 12 = -4[/tex]

    Since we know now that h = 4 and k = -4 and that a = 1, lets plug it into

    the original equation.

       [tex]y = 1*(x-4)^2 - 4 =(x^2-4)-4[/tex]

     Thus the answer is [tex]y = (x-4)^2 -4[/tex]

Hope that helps!

       

 

If the circumference of a circle is 88 cm find its area

Answers

I hope I can help you:)

Solve the system of equations at right. 2^(x+y)=16 2^(2x+y)= 1/8

Answers

Answer:

  (x, y) = (-7, 11)

Step-by-step explanation:

The system of exponential equations can be solved by the use of logarithms. Equivalently, the equations can be written so that exponents can be equated. This system is equivalent to two linear equations.

First equation:

  2^(x+y) = 16

  2^(x +y) = 2^4 . . . . use the same base to write the constant

  x +y = 4 . . . . . . . . equate exponents of 2 (take log₂ of both sides)

Second equation:

  2^(2x +y) = 1/8

  2^(2x +y) = 2^(-3) . . . . use the same base to write the constant

  2x +y = -3 . . . . . . equate exponents of 2

Solve the linear equations:

We can subtract the first equation from the second to get ...

  (2x +y) -(x +y) = (-3) -(4)

  x = -7

  y = 4 -x = 4 -(-7) = 4 +7 = 11 . . . . use the first equation to find y

The solution to the system is (x, y) = (-7, 11).

the diameter of a half dollar is 3 centimeters what is the circumference of a half dollar to the nearest millimeter

Answers

Answer:

9.4 cm

Step-by-step explanation:

pi*diameter=circumference

3.14159*3=9.42478

round to nearest millimeter

9.4 cm

4. Find the volume of the pyramid ​

Answers

Answer:

58 1/3 in³

Step-by-step explanation:

Volume of a square pyramid:

V = (1/3)a^2h (don't need the lateral lenght)

ixl math question im very lazy and i dont understand

Answers

Answer:

1/21

Step-by-step explanation:

We start with 7 cards. The probability of picking a 4 is 1/7. Since the first card is not put back, there are 6 cards left. Of these 6 cards, there are two which have divisors of 63: 3 and 7. So the probability of picking a divisor of 63 is 2/6, which reduces to 1/3. Multiplying these probabilities gives 1/21.

why need a question when its on the picture?

Answers

Answer:

Always true.

Step-by-step explanation:

All rectangles are made up of four right angles, which are always congruent.

please solve this question faaaast​

Answers

Answer:

300-400

Step-by-step explanation:

The first step is finding the total of the data we have. So, we take 5 + 10 + 15 + 20 + 25 + 15 + 10 which equals 80.

The median is the middle point of all the data. If it's an odd number, you can calculate the median with the equation (n+1) / 2, plugging in the total amount of data for n.

When it's an even number though, there is no one middle point since the data splits evenly in 2, so we have to use 2 equations: n/2 & (n/2) + 1. Then, we find the average of those two data points. (Although, you don't have to do that for this particular question).

When we plug 80 in for n in both of these equations, we get 40 and 41.

To where this is in the question, we have to count up from the bottom of the chart. 1-5 is below 100, 6-15 is 100-200, 16-30 is 200-300, and 31-50 is 300-400.

Since 40 and 41 are between 31 and 50, the answer is 300-400.

Hope this helps! :)

In the figure below, BC=7 and AB= 16. Find AC.

Answers

The expressions BC and AB are illustrations of straight lines

The length AC is 25 units

How to determine the length of AC?

The given parameters are:

BC =7

AB = 16

Assume that AB and BC are straight lines.

Then , we have:

AC =AB + BC

Substitute known values

AC = 16 + 7

Evaluate the sum

AC = 25

Hence, the length AC is 25 units

Read more about lengths at:

https://brainly.com/question/2005046


¿ A que distancia se encuentran dos masas de 60 kg y 80 kg, si la fuerza de
atracción entre ellas es de 3x10-31N.

Answers

Teniendo en cuenta la Ley Universal de la Gravitación, la distancia a la que se encuentran dos masas de 60 kg y 80 kg, si la fuerza de atracción entre ellas es de 3×10⁻³¹ N, es 1.033 ×10¹² m.

Ley Universal de la Gravitación

La Ley Universal de la Gravitación establece que los cuerpos, por el simple hecho de tener masa, experimentan una fuerza de atracción hacia otros cuerpos con masa, llamada fuerza gravitacional.

Esta ley dice que la fuerza gravitacional entre dos cuerpos es directamente proporcional al producto de sus masas e inversamente proporcional al cuadrado de la distancia que los separa.

Matemáticamente se expresa de la siguiente manera:

[tex]F=G\frac{Mm}{d^{2} }[/tex]

donde:

G es la constante gravitatoria universal, con un valor de 6,67×10⁻¹¹[tex]\frac{Nm^{2} }{kg^{2} }[/tex].M y m son las masas de los cuerpos que interactúan.d es la distancia que los separa.

Distancia entre dos masas

En este caso, sabes:

F= 3×10⁻³¹ NM=  60 kgm= 80 kg

Reemplazando en la Ley Universal de la Gravitación:

[tex]3x10^{-31}N =6,67x10^{-11}\frac{Nm^{2} }{kg^{2} } \frac{60 kg x80 kg}{d^{2} }[/tex]

Resolviendo:
[tex]\frac{3x10^{-31}N}{6,67x10^{-11}\frac{Nm^{2} }{kg^{2} }} = \frac{60 kg x80 kg}{d^{2} }[/tex]

[tex]4,4977x10^{-21} \frac{kg^{2} }{m^{2} } = \frac{4800 kg^{2} }{d^{2} }[/tex]

[tex]d^{2} x4,4977x10^{-21} \frac{kg^{2} }{m^{2} } =4800 kg^{2}[/tex]

[tex]d^{2} = \frac{4800 kg^{2} }{4,4977x10^{-21} \frac{kg^{2} }{m^{2} } }[/tex]

[tex]d = \sqrt{\frac{4800 kg^{2} }{4,4977x10^{-21} \frac{kg^{2} }{m^{2} } }}[/tex]

[tex]d = \sqrt{1,0672x10^{24} m^{2} }[/tex]

d= 1.033 ×10¹² m

Finalmente, la distancia a la que se encuentran dos masas de 60 kg y 80 kg, si la fuerza de atracción entre ellas es de 3×10⁻³¹ N, es 1.033 ×10¹² m.

Aprende más acerca de la Ley Universal de la Gravitación:

brainly.com/question/15967105

brainly.com/question/11359658

Flight Times (h)
.
.
Alrjet Express
2. The double dot plot shows the
times, in hours, for flights of two
different airlines flying out of the
same airport. Compare the shapes,
centers, and spreads of the two
populations. Which airline's flights
had shorter flight times? (Examples 3 and 4)
:
+
4 5 6 7 8 9
+ Cross Country Airlines
10
1 2 3

Answers

The dot plot that was illustrated simply shows that the airline's flights had shorter flight times is Airjet Express.

What is a dot plot?

It should be noted that a dot plot simply means a plot that is used to display the data values.

In this case, the dot plot that was illustrated simply shows that the airline's flights had shorter flight times is Airjet Express. This was depicted in the data visualization.

Learn more about dot plots on:

https://brainly.com/question/15853311

Anthony is six years older than Juntao. In three years' time, the ratio of Juntao's age to Anthony's age will be 2 : 5. How old is Juntao now?

Answers

he is now 69 years old because i am smarter than you.

What is the vertex of the function below?

Answers

Answer:

lol thts 26

Step-by-step explanation:

what is 1/100 of 2.14

Answers

Answer:

.0214

Step-by-step explanation:

2.14 * .01 = .0214

to check:

.0214 * 100 = 2.14

pls help ASAP first correct answer gets brainleist ​

Answers

Answer:

4.58257569 meters (Could probably get away with rounding it to 4.6 meters)

Step-by-step explanation:

Pythag theorem

a^2 +b^2 =c^2

Insert your numbers

10^2+b^2=11^2

Simplify squares

100+b^2=121

subtract 100 from both sides

b^2=21

sqrt both sides

sqrt(b^2)=sqrt(21)

simplify sqrts to get b

b= 4.58257569

A design for a garden is composed of a triangle and 2 rectangles. Some side lengths of the garden design are shown. 7.5 ft 12.5 ft 7.5 ft 12.5 ft What is the area of the garden in square feet?​

Answers

Answer:

215.625 square feet.

Step-by-step explanation:

The best way to approach this is by finding the area of each shape and then adding them together.

The area of a rectangle is Length · Width. Both rectangles have a length of 12.5 feet and a width of 7.5 feet. 12.5 · 7.5 = 93.75. And since both rectangles have the same dimensions, we can just multiply 93.75 by two to get 187.5 square feet for the rectangles.

The area of a triangle is Base · Height / 2. Since the sides of the triangle are the same as the sides of rectangles, the dimensions of the triangle are 7.5 feet and 7.5 feet.

7.5 · 7.5 / 2 = 28.125 square feet.

187.5 + 28.125 = 215.625 square feet.

Hope this helps! :)

Today only, a table is being sold for 134.40 . This is 32% of its regular price. What was the price yesterday?

Answers

Answer:

$177.41

Step-by-step explanation:

when it says 32% OF , of always means multiply in word problems so we multiple 132% (1.32) times 134.40

$177.41

Answer:

420

Step-by-step explanation:

32% of its original price

32%=134.40

100%=?

cross multiply

100/100 x 134.40 × 100/32

1×134.40×3.125

=420

A box of 15 cookies costs $9dollar sign, 9. What is the cost for 1 cookie?

Answers

Answer:

$1.66 or $1.70 if you round up

Step-by-step explanation:

HELP AGAIN I NEED IT DUE IN 10 MIN

Answers

Answer:

C: 28 inches

Step-by-step explanation:

Perimeter is when you add the length of each sides together.

Answer:

c

Step-by-step explanation: Because to get the perimeter you need to add all the sides of the figure for example 9+9+5+5=28 :]

A circle has (-1, -1) and (-25,-11) as endpoints of a diameter.
Find the center and radius of the circle.
Write the standard equation of the circle.

Answers

well, since we know the diameter points, half-way in between is the center

[tex]~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ (\stackrel{x_1}{-1}~,~\stackrel{y_1}{-1})\qquad (\stackrel{x_2}{-25}~,~\stackrel{y_2}{-11}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ -25 -1}{2}~~~ ,~~~ \cfrac{ -11 -1}{2} \right)\implies \left(\cfrac{-26}{2}~~,~~\cfrac{-12}{2} \right)\implies (-13~~,~~-6)[/tex]

and its radius will be half the length of the diameter

[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-1}~,~\stackrel{y_1}{-1})\qquad (\stackrel{x_2}{-25}~,~\stackrel{y_2}{-11})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{[-25 - (-1)]^2 + [-11 - (-1)]^2}\implies d=\sqrt{(-25+1)^2+(-11+1)^2} \\\\\\ d=\sqrt{(-24)^2+(-10)^2}\implies d=\sqrt{676}\implies d=26~\hfill \stackrel{half~that}{r=13}[/tex]

[tex]\rule{34em}{0.25pt}\\\\ \textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \qquad center~~(\stackrel{-13}{ h},\stackrel{-6}{ k})\qquad \qquad radius=\stackrel{13}{ r} \\\\[-0.35em] ~\dotfill\\\\\ [x-(-13)]^2~~ + ~~[y-(-6)]^2~~ = ~~13^2\implies (x+13)^2~~ + ~~(y+6)^2~~ = ~~169[/tex]

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