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Answer:

208

Step-by-step explanation:

The division result is: Quotient: [tex]3x^2 + 9x^2 - 107x^2[/tex], Remainder: -33 Here's the polynomial division step by step:    [tex]3x^2 + 1 | 9x^4 - 12x^3 + 103x^2 + 2[/tex]

Step 1: Divide the highest degree term of the dividend by the highest degree term of the divisor:

       [tex]3x^2 + 1 | 9x^4 - 12x^3 + 103x^2 + 2[/tex]

                [tex]9x^4 + 3x^2[/tex]

                    ---------------

                            [tex]-12x^3 + 103x^2[/tex]

Step 2: Multiply the divisor by the result from step 1 (3x^2 + 1) and subtract the result from the dividend:

     [tex]3x^2 + 1 | 9x^4 - 12x^3 + 103x^2 + 2\\[/tex]

                    [tex]9x^4 + 3x^2[/tex]

                    ---------------

                           [tex]-12x^3 + 103x^2[/tex]

                            [tex]-12x^3 - 4x^2[/tex]

                            ---------------

                                   [tex]107x^2 + 2[/tex]

Step 3: Divide the highest degree term of the new dividend (107x^2) by the highest degree term of the divisor (3x^2), and perform the division:

       [tex]3x^2 + 1 | 9x^4 - 12x^3 + 103x^2 + 2[/tex]

                    [tex]9x^4 + 3x^2[/tex]

                    ---------------

                            [tex]-12x^3 + 103x^2[/tex]

                            [tex]-12x^3 - 4x^2[/tex]

                            ---------------

                                     [tex]107x^2 + 2 \\ 107x^2 + 35[/tex]

                                     -------------

                                                -33

Since the result (-33) has a lower degree than the divisor (3x^2 + 1), we can't proceed with further division.

So, the division result is:

Quotient: [tex]3x^2 + 9x^2 - 107x^2[/tex]

Remainder: -33

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Correct Question is:

Divide [tex](9x^4 - 12x^3 + 103x^2 + 2)\ by \ (3x^2 + 1)[/tex]

Answer:

The general equation of a slope-intercept form is as below;

[tex]y = mx + c[/tex]

m » slope / gradient

c » y - intercept

x » x - intercept

Since our equation is 5x + 2y = -6, make y the subject:

[tex]5x + 2y = - 6 [/tex]

subtract 5x from either sides:

[tex](5x + 2y) - 5x = - 6 - 5x \\ 2y = - 5x - 6[/tex]

apply the division rule of equality:

[tex] \frac{2y}{2} = \frac{ - 5x}{2} - \frac{6}{2} \\ \\ { \boxed{ \boxed{answer : \: y = - \frac{5}{2} x - 3}}}[/tex]

slope » -5/2

y - intetcept » -3

Answer:

4x _ 8 + 90 = 144

Step-by-step explanation:

you do parentheses then the rest you follow that order and it will all work ot really easy

Answer:

Step-by-step explanation:

[tex]y^2+6y+8x+1=0\\\\y^2+2*3y+9+8x+1-9=0\\(y+3)^2+8x-8=0\\8x=-(y+3)^2+8\\\\x=-\dfrac{(y+3)^2}{8}+1 \\Vertex=(1,-3)[/tex]

The vertex is (1,-3).

To find the the vertex of the parabola.

A symmetrical open plane curve formed by the intersection of a cone with a plane parallel to its side.,

Given that:

[tex]y^{2} +6y+8x+1=0\\\\y^{2} +2*3y+8x+1+9-9=0\\\\(y+3)^{2}+8x-8=0\\\\8x=-(y+3)^{2}+8\\\\x=-\frac{(y+3)^{2}}{8} +1\\\\vertex=(1,-3)\\[/tex]

So, the vertex is (1,-3).

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Answer:

Step-by-step explanation:

n = 7 so it is:

5(7) - 4

= 35 - 4

= 31.

Answer:

Step-by-step explanation:

Those two angles are equal. They are corresponding angles.  In two parallel lines crossed by a transversal. 8 angles are produced. 4 have one value and the other 4 are supplementary to the first four.

These 2 are part of the first group of 4.

So 12x -  8 = 104

12x - 8 + 8 = 104 + 8

12x = 112

x = 9 1/3

Answer:

I think this is if it is right then help me plz this is false ..

Answer:

The choose D. 4¹⁵

I hope I helped you^_^

Answer:

87

Step-by-step explanation:

Mean(or average) = 82

let 'x' be the last test marks

Sum of marks of tests/Number of tests = Mean

(78 + 83 + 80 + x)/4 = 82

241 + x = 82 × 4

241 + x = 328

x = 328 - 241

x = 87

Answer:

550, 575, 596, 602

Answer:

Anything greater or equal to 550 will be rounded to 600

and anything less than 650 will be rounded to 600,  

So the numbers are:-  

550  

575  

596

602

6t=9

Since the top tape diagram has 6 parts and labeled t (The same size as the bottom diagram), we multiply it, so: 6xt= 6t. 9 is the label of the bottom diagram. That means there are the same or equal to each other.

I hope I've helped!

Answer:

4 triangles

Step-by-step explanation:

the number of triangles in a polygon is (the number of sides in the polygon - 2)

The number of triangles inside a polygon with six sides are 4.

Given is that the number of sides in a polygon is 6.

Therefore, the number of triangles inside a polygon with six sides are 4.

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Answer:

x — 4

Step-by-step explanation:

Difference means subtraction, so x — 4 is the expression for your question.

Answer:

Step-by-step explanation:

Given that x = 3 and y = 2 we can figure these out

3x = 3x3 = 9

5y = 5 x 2 = 10

9+10=19

X times y - 1

3x2-1=5

X*+y* =

3x3+2x2 = 13

2x3*-2 =

2x3x3 - 2 = 16

-5x3+9

= -6

2x2-3+5+3*-3x2 =

9

Answer:

-27

Step-by-step explanation:

-3 x -3=9

9 x -3= -27

Answer:

-27

Step-by-step explanation:

Answer:

r = [tex]\frac{1}{4}[/tex]

Step-by-step explanation:

Given the proportional equation

y = rx ← r is the constant of proportion

Divide both sides by x

[tex]\frac{y}{x}[/tex] = r

Use any ordered pair from the table.

Using (8, 2 ) , then

r = [tex]\frac{2}{8}[/tex] = [tex]\frac{1}{4}[/tex]

Answer:

1/4

Step-by-step explanation:

Multiplying the input (x) by (1/4) results in the output.  This is direct proportion, and the constant of proportionality is (1/4).

A major problem with interval lengths that are too small is that it masks the shape of the distribution.

The interval length used in a distribution may be described as the size of the class or the class width. The interval length is usually important when drawing histograms and other related graphs for a grouped distribution.

The most significant effect of using a class interval which is too small is that it masks the actual shape of distribution, Hence preventing it from being distinct.

For best practice, it is essential that the class interval is of moderate width, hence enabling us to have a distribution which isn't maksed nor exaggerated.

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Answer:

Step-by-step explanation:

APE - adding 8 on both sides (first line)

DPE - dividing by 7 on both sides (second line)

Answer:

It is 1.68 so 168%

Step-by-step explanation:

Answer:

Step-by-step explanation:

Between the fourth and tenth there are:

The total number is:

Answer:

ANSWER IS BELOW

Step-by-step explanation:

f

(

x

)

=

−

1

2

x

2

+

3

x

−

1

2

Explanation:

A quadratic function can be written in vertex form as:

f

(

x

)

=

a

(

x

−

h

)

2

+

k

where

(

h

,

k

)

is the vertex and

a

is a constant multiplier.

In our example the vertex

(

h

,

k

)

is

(

3

,

4

)

, so we can write:

f

(

x

)

=

a

(

x

−

3

)

2

+

4

Given that this passes through the point

(

1

,

2

)

, we must have:

2

=

a

(

1

−

3

)

2

+

4

=

4

a

+

4

Subtract

4

from both ends to get:

−

2

=

4

a

Divide both sides by

4

and transpose to find:

a

=

−

1

2

So our quadratic function can be written in vertex form as:

f

(

x

)

=

−

1

2

(

x

−

3

)

2

+

4

We can multiply this out and simplify as follows:

f

(

x

)

=

−

1

2

(

x

−

3

)

2

+

4

f

(

x

)

=

−

1

2

(

x

2

−

6

x

+

9

)

+

4

f

(

x

)

=

−

1

2

x

2

+

3

x

−

9

2

+

4

f

(

x

)

=

−

1

2

x

2

+

3

x

−

1

2

Answer:

The answer depends on x.value

Step-by-step explanation:

I. It's linear equation

          y = mx + b

when y is output, x is input, m is slope and b is addition

   So if x = -1

          y = -4/3(-1) - 2

             = 4/3 - 2

             = (4-6)/3

           y = -2/3

   It will be something like this (-1, -2/3) when -1 is x.value, -2/3 is y.value        

You can given x.value be anything like 0, 1, 2, 3 the graph will be like this

(Picture is only example)

Answer:

How long will it take to hear the rumbling of a volcano located 58km away?

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer 10 inches

To find how many inches will equal 25 miles on the the map use the info they have already given u.

4in=10

8in=20

10in=25

The scale is 2 cm to 12 in so the actual length of the shorter side is 12 in, and the actual side of the longer side is (8/2)×12=48 in. So, the actual area of the ramp is (1/2)×12×48=288 Sq. in.

Scale used to convert the dimensions from drawing to actual is,

2 cm : 12 in

Height of the ramp in a skateboard park = 2 cm

Therefore, actual height 'x' of the ramp will be,

[tex]\frac{2}{12}=\frac{2}{x}[/tex]

x = 12 inches

Since, measure of the base of the ramp = 8 cm

Length of the base 'y' of the actual ramp will be,

[tex]\frac{2}{12}=\frac{8}{y}[/tex]

y = [tex]\frac{8\times 12}{2}[/tex]

y = 48 inches

Area of a triangle = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]

                             = [tex]\frac{1}{2}(48)(2)[/tex]

                             = 48 square inches

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Answer:

- 8x + 3

Step-by-step explanation:

(f + g)(x)

= f(x) + g(x)

= - 5x + 3 + (- 3x)

= - 5x + 3 - 3x ← collect like terms

= - 8x + 3

Answer:

Reflect over the line x = 1

Step-by-step explanation:

ΔA'B'C' is the mirrored of ΔABC

But the reflection is over x = 1, because there is 3 units between the triangle and the line.

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