Solve using long division
(12y^4-5y^2+y+7) ÷ (3y^2-2)
Please show steps at least a little please and thank you sm

Answer:

1. 310.5

2. 360

3. 832

4. 1200

Step-by-step explanation:

Answer:

14.8 inches

Step-by-step explanation:

Given that:

Slant height, l = 16 inches

Radius, r =. 6 inches

Using the relation :

h² + r² = l²

h² + 6² = 16²

h² = 16² - 6²

h² = 256 - 36

h² = 220

h = sqrt(220)

h = 14.832

h = 14.8 inches

Answer:

Step-by-step explanation:

y = -3(x-3)^2 + 4

Answer:

Se fabricaron:

1000 balones de los que cuestan $20

75 balones de los que cuestan $30

50 balones de los que cuestan $40

Step-by-step explanation:

Vamos a definir las variables:

x = número de balones de $100.00 vendidos.

y = número de balones de $120.00 vendidos

z = número de balones de $160,00 vendidos.

Sabemos que se producen 1125 balones, entonces:

x + y + z = 1125

y el costo de producción es $24,250, conociendo el costo de cada balón podemos escribir:

x*$20 + y*$30 + z*$40 = $24,250

Y también sabemos que la ganancia mensual es $92,750

Ganancia es la diferencia entre el dinero total recibido y los costos, entonces:

x*$100 + y*$120 + z*$160 - $24,250 =  $92,750

x*$100 + y*$120 + z*$160 = $92,750 + $24,250

x*$100 + y*$120 + z*$160 = $117,000

Entonces tenemos un sistema de 3 ecuaciones:

x + y + z = 1125

x*$20 + y*$30 + z*$40 = $24,250

x*$100 + y*$120 + z*$160 = $117,000

Para resolver esto debemos comenzar por aislar alguna variable en alguna de las ecuaciones, yo comenzare aislando x en la primera ecuación:

x = 1125 - y - z

Ahora podemos reemplazar esto en las otras dos ecuaciones para obtener:

(1125 - y - z)*$20 + y*$30 + z*$40 = $24,250

(1125 - y - z)*$100 + y*$120 + z*$160 = $117,000

Si simplificamos esto obtenemos:

$22,500 + y*$10 + z*$20 = $24,250

$112,500 + y*$20 + z*$60 =  $117,000

Ahora de vuelta, debemos aislar una variable en una de las ecuaciones, si aislamos y en la primera ecuación obtenemos:

y*$10 = $24,250 - $22,500 -  z*$20

y = ($1,750 - z*$20)/$10

y = 175 - 2*z

Reemplazando esto en la otra ecuación obtenemos:

$112,500 + (175 - 2*z)*$20 + z*$60 =  $117,000

Ahora podemos resolver esto para z.

(175 - 2*z)*$20 + z*$60 =  $117,000 - $112,500

(175 - 2*z)*$20 + z*$60 = $4,500

$3,500 - z*$40 + z*$60 = $4,500

$3,500 + z*$20 = $4,500

z*$20 = $4,500 - $3,500 = $1,000

z = $1,000/$20 = 50

Entonces tenemos 50 balones de los que cuestan $40.

Usando la ecuación y = 175 - 2*z podemos encontrar el valor de y.

y = 175 - 2*50 = 75

Entonces tenemos 75 balones de los que cuestan $30.

Usando la ecuación x = 1125 - y - z podemos encontrar el valor de x.

x = 1125 - 75 - 50 = 1000

tenemos 1000 balones de $20.

Answer:

The answer is 90 degrees.

Step-by-step explanation:

If you want an explination, I'm more than happy to explain.

Answer:x=90

Step-by-step explanation:

90

Answer:

14.444444 but i dont know for sure so wait for someone else to respond

Step-by-step explanation:

Answer:

Y=130/9

Step-by-step explanation:

Answer:

= 3.5 x 10^ -12

Step-by-step explanation:

i hope this helps :)

Answer:

35 * [tex]10^{-13}[/tex]

Step-by-step explanation:

Answer:

Complementary

x = 55

Step-by-step explanation:

Complementary angles add up to 90°, while supplementary angles add up to 180°.

In this situation, the two angles add up to 90° (the little box means that an angle is a 90° angle) So, the angles are complementary.

Now, we can write this equation.

x + x - 20 = 90

Simplify.

2x - 20 = 90

2x = 110

x = 55

Just in case, let's check the answer.

Substitute x = 55 into (x + x - 20 = 90)

55 + 55 - 20 = 90

110 - 20 = 90

90 = 90

This is true, so x = 55 is correct.

I hope this helps! Feel free to ask any questions!

Answer:

d

Step-by-step explanation:

Answer:

C. About 3.6 units is = to the length of AB

Answer:

-28.84

Step-by-step explanation:

-6π - 10

-6(3.14) - 10

-18.84 - 10

-28.84

Answer:

− 28.85

Step-by-step explanation:

Answer:

All you have to do is use the Triangle Inequality Theorem, which states that the sum of two side lengths of a triangle is always greater than the third side. If this is true for all three combinations of added side lengths, then you will have a triangle.

Answer:

a)  a   = - ( 5 + b ) / 9

b) no remainder

Step-by-step explanation:

A) ( ax^3 + bx -6 ) / ( x + 3 )

Remainder = 9

determine the value of a

we will use the result of  if ( x + a ) divides polynomial g(x) the remainder is g(a)

therefore given that ( x + 3 ) divides f(x) = ax^3 + bx - 6

=  f( -3 ) = 9

= a(- 27 ) - 3b - 6 = 9

= -27a  = 9 + 6 + 3b

therefore the term 'a' = - ( 15 / 27   + 3b / 27 )

                                    = - ( 5/9 + b/9 )

                                 a   = - ( 5 + b ) / 9

b) Find the remainder when (2x^3 - bx^2 + 2ax - 4 ) is divided by (x-2 )

given that ( x -2 ) divides f(x) = 2x^3 - bx^2 + 2ax - 4

also given a =  - ( 5 + b ) / 9  from previous polynomial above

= f(2) = ?

= 2(8) -4b + 4a - 4

= 16 - 4b + 4 ( - ( 5 + b ) / 9 ) - 4

= 16 - 4b + (( -20 - 4b ) / 9) - 4

= 16 - 4b - ( 20 - 4b ) / 9)  - 4

= 16 - ( 32b - 20 ) / 9)  - 4  = ?

therefore the remainder 'b' =  ( -108 + 20 ) / 32  = - 2 3/4

since the remainder is negative there is no remainder then

Answer:

your answer will be option A.

The function is continuous.

Step-by-step explanation:

hope it helps you

have a great day!!!

Answer:

i've just been looking at different answers and I am 75% sure its

"The function is increasing over its entire domain"

Step-by-step explanation:

Answer:

8m = d

Step-by-step explanation:

Answer:

36 feet long

Step-by-step explanation:

When you get the question it should look like this: 6/2.5   X/15.

Your gonna have to cross multiply 6 and 15 the keep 2.5 and X like this: 2.5x

After that, it should look like this: 2.5x=90, Now your gonna wanna divide 90 and 2.5 which you will get 36.

X= 36 ft long.

Hoped this helped!

Answer:

63

Step-by-step explanation:

120-57=63

Answer:

73

Step-by-step explanation:

Answer:

y - 8 = 4(x - 2)

Step-by-step explanation:

Note that as we increase any x value by 1, the corresponding y value increases by 4.  Thus, the slope is 4.

Using the slope-intercept formula, we get:

y - 8 = 4(x - 2)

Check:  If x = 5, does this formula result in y = 20?

y = 8 + 4(x - 2) with x = 5 comes out to y = 8 + 4(3)  =  8 + 12 = 20.  YES

Answer: 90 degrees

Step-by-step explanation:

Answer:

-1.5

Step-by-step explanation:

Answer:

1. 12

2. 15

3. 16

4. 12

5. 21.333 ...

6. 29

7. 13

8. 11

9. 14

10. 24

6. (Assuming..) 68 / 4 = 17

Step-by-step explanation:

These are a lot so I will not be doing a explanation if you do not need it.

Hope this helps :)

Answer:

tomatoes in a plant in flip flop for sure

Answer:

360 learners

Step-by-step explanation:

One way to solve these types of problems is that you could set up a proportion

learners/teachers = learners/teachers

Let x = no. of learners to enrol

30/1 = x/12

12(30) = x

x = 360 learners

Answer:

all of the above

Step-by-step explanation:

according to your question

Answer:

[tex] 6\sqrt{10} + 19[/tex]

Step-by-step explanation:

Please mark as brainliest

Answer:

C) 12.75

Step-by-step explanation:

4x=51

x=51/4

x=12.75

Answer:

C,D,A,B

Step-by-step explanation:

C - $24.74

D - $25.93

A - $26.92

B - $26.98

Answer:

Step-by-step explanation:

It's rational because it doesn't have a continuous decimal. -51/2 is -25.5

Answer:

I believe it is ration since a rational number is any interger, fraction, or repeating decimal.

Step-by-step explanation: