3. Simplify the expression (x3 - 5x2 + 7x - 12) = (x – 4) using long division. Show your work.
Answer:

Answer:

43%

Step-by-step explanation:

443.50 divided by 1015 is 0.43 when rounded; 0.43 as a fraction is 43%. So therefore, the answer is 43%.

Answer:

y=2x+2

Step-by-step explanation:

The slope of the function is going up by 2 every time.

Answer:

they are already matched

Step-by-step explanation:

Answer: (x^7)/(x^4) = x^3, x^(-3) = 1/(x^3), x^0 = 1, (x^4)/(x^3) = x

Step-by-step explanation:

Dividing two exponents with the same base can be simplified by subtracting the exponents. Thus (x^7)/(x^4) is the same as x^(7-4), or x^3.

A negative exponent is the same as the reciprocal of the positive exponent. x^-3 is the same as 1/(x^3).

Anything with an exponent of 0 is equal to 1.

Again, when dividing two exponents, if they have the same base, you can just subtract the exponents. (x^4)/(x^3) = x^(4-3) = x^1 = x.

Answer:

x = − 8

Step-by-step explanation:

Factor then solve to find the complex solutions.

Answer:

The 2nd one

Step-by-step explanation:

The trend line properly describes the data relationship in the scatterplot is plot A.

A trend line is also known as a line of best fit, and it is used to illustrate the behaviour of a set of data to assess if it is in a given pattern. So, a trend line is an analytical technique that is frequently used in conjunction with a scatter plot to determine whether or not there is a relationship between two variables.

As, per the plots.

The scatter plot A have the points distributed symmetrically on the both side of line.

Also, straights lines are negatively correlated with scatter points.

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Answer:

[tex]f'( x ) = \frac{f(b) - f(a)}{b - a} \\ = \frac{f(6) -f(a)}{6 - 1} \\ 3\leqslant \frac{f(6) - 10}{5} \\ 15\leqslant f(6) - 10 \\ f(6) \geqslant 15 + 10 \\ f(6) \geqslant 25[/tex]

Answer:

25

Step-by-step explanation:

Our "best" case is when [tex]f'(x) = 3[/tex] everywhere - if it changes it means [tex]f(x)[/tex] will grow faster. But if [tex]f'(x)[/tex] is constant, it means [tex]f(x)[/tex] is the straight line [tex] y-10 = 3 (x-1) [tex], which passes through the point (6, 25)

Answer:

7.75J

Step-by-step explanation:

kinectic energy formula = 1/2mv²

m mass

v velocity

1/2 x 62 x 0.5² = 7.75

A woman is walking at a rate of 0.5m/s. Her mass is 62 kg. The woman's kinetic energy in joules:

K.E. = 7.75 kgm²/s²

What is Kinetic Energy?

The energy an object has as a result of motion is known as kinetic energy in physics. It is described as the effort required to move a mass-determined body from rest to the indicated velocity. The body holds onto the kinetic energy it acquired during its acceleration until its speed changes.

Given,

Mass = 62kg

Velocity = 0.5m/s

The formula for Kinetic Energy is :

K.E. = 1/2 m v².

K.E. = 1/2 (62)(0.5)²

K.E. = 1/2 (62)(0.25)

K.E. = 1/2 (15.5)

K.E. = 15.5/2

K.E. = 7.75 kgm²/s²

or

K.E. = 7.75 joules

Hence, he woman's kinetic energy in joules, K.E. = 7.75 kgm²/s²

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Answer:

The machine can drill 50 holes in 25 minutes!

Explanation:  

6 by 4 is 24, which in this context will be 24 minutes. Therefore, multiply 12 by 4 to get the sum of 48. Then, to find the remaining 1 minute, divide 12 by 6 to get 2 which is the amount of holes per minute. Add 2 to 48 and that is your answer!  

Answer:

1450

Step-by-step explanation:

Any number times 10 goes up one value.

ones become tens, and tens become hundreds etc..

87x10=870

And a number times 100 goes up two values.

23.5x100= 2350

hope this helped ;)

Step-by-step explanation:

you don't have a calculator ? with that you would have gotten the answer immediately.

so you had to write the question in here, need to wait for an answer, ...

but actually, this is very easy to solve even without a calculator, as this is how our decimal numbers work : based on powers of 10.

multiplying by 100 moves the decimal point 2 positions to the right (and fill up with zeros where necessary) :

14.5 × 100 = 1450

a multiplication by 10 moves the decimal point 1 position to the right.

a multiplication with 1000 3 positions to the right. and so on.

a division by 100 moves the decimal point 2 positions to the left (and fill up with zeros where necessary). and so on.

Answer:

Simplify the expression.

−

729

Step-by-step explanation:

your wlecome

Answer:

65

Step-by-step explanation:

a. since we add 2 to each term in this sequence, the difference between one term and the next is a constant. therefore, it's an arithmetic sequence

b.  in this case, a = 7 and d =2

the equation would be a30 = 7 + (30-1)2

solving this gives us 65

9514 1404 393

Answer:

  a) see attached for the drawings

  b) p = 8n -4

  c) a(n) = 4n(n -3) +13  for n > 1; a(1) = 1

  d) none

Step-by-step explanation:

a) The overall dimensions of the next two stages of the pattern will be 7×7 and 9×9. Excluding the 4 "ears", the central squares are 5×5 and 7×7. The drawings are shown in the attachment.

__

b) The sequence of perimeter values is ...

  4, 12, 20, 28, 36, ...

This is an arithmetic sequence with a common difference of 8. A suitable formula for the perimeter p of stage n is ...

  p = 8n -4

__

c) The sequence of area values is ...

  1, 5, 13, 29, 53, ...

The first differences are ...

  4, 8, 16, 24, ...

and the second differences are ...

  4, 8, 8, ...

At no level are the differences "common", so this sequence cannot be described by a polynomial function. After the first one, the second differences are common, so the sequence after the first term can be described by a quadratic function.

The function describing the sequence must be defined in two parts:

  [tex]a(n)=\begin{cases}1&\text{ for $n = 1$}\\4n(n-3)+13&\text{ for $n>1$}\end{cases}[/tex]

__

d) Because the function must be piecewise defined, the area sequence is not any of the types of sequences listed. After the first term, it is a quadratic sequence.

_____

Additional comment

The leading coefficient of the quadratic formula for the area sequence is half the second difference. When 4n² is subtracted from the sequence of areas, the remaining arithmetic sequence has a common difference of -12. In order to bring the total of these quadratic and arithmetic sequences up to the correct area value, 13 must be added. This formula would give a(1) = a(2) = 5, which is not the correct value for a(1). Hence, that must be defined separately.

Answer:

subtraction to addition algebraic expression.

Step-by-step explanation:

Answer:

$18.74

Step-by-step explanation:

To find the sale price:

22 * 0.2 = 4.4

22 - 4.4 = 17.6

or, you can just multiply by 0.8, so you wont need to subtract later

22 * 0.8 = 17.6

Then, you need to find the tax amount:

17.6 * 6.5 = 1.144

17.6 + 1.144 = 18.744

Round

18.74

Answer:

  (x, y) = (7, 4)

Step-by-step explanation:

I find a graphing calculator to give a solution quickly and easily.

  (x, y) = (7, 4)

__

Here, we can solve the first equation for x, then substitute into the second.

  x = 23 -4y

  -2(23 -4y) +3y = -2 . . . . . substitute for x

  -46 +8y +3y = -2 . . . . . eliminate parentheses

  11y = 44 . . . . . . . . . . . collect terms

  y = 4 . . . . . . . . . . . . divide by the coefficient of y

  x = 23 -4·4 = 7 . . . . use the expression for x to find x

  (x, y) = (7, 4)

Answer:

Option 2: A=1, B=3, C=4

Step-by-step explanation:

Answer:

Step-by-step explanation:

The base is made of a square that is 2 meters by 2 meters.

Base = 4 m^2

The height of the water is 60 cm

60 cm// 100 cm/meter = 0.6 meters

Volume = Base * height

Base = 4m^2

height = 0.6 m

Volume = 4 * 0.6 = 2.4 m^3

Answer:

O [tex]8 * 10^2[/tex]

Step-by-step explanation:

Hope it helps

Peace out

^^ ^-^ :) ;) ~-~

Answer:

If you are asking for the whole number of game it is 40

Step-by-step explanation:

Answer:

20 pesos lang

Step-by-step explanation:

kami 5 pesos per ticket kayo 12 dollar

Answer:

[tex]3(x - 2) (x^2 + 3x + 6)\\[/tex]

Step-by-step explanation:

Firstly, divide all parts of the equation by 3:

[tex]3x^3 + 3x^2-36[/tex]

[tex]3(x^3 + x^2-12)[/tex]

Now focus on the equation:

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

We know that the equation can be factored using x so we know that (x +- unknown) is the factor. We need to find the easiest way to factor this, lets find the factors of 12:

1 12

2 6

3 4

1 and 12 won't work so let's try 2 and 6, initially start as a negative 2:

[tex]\frac{ x^3 + x^2 - 12}{x - 2}[/tex] = [tex]x^2 + 3x + 6[/tex]

We can confirm this is simplified by multiplying together:

[tex](x - 2) (x^2 + 3x + 6)[/tex]

[tex]x* x^2 = x^3\\x * 3x = 3x^2\\x * 6 = 6x\\-2 * x^2 = -2x^2\\-2 * 3x = 6x\\-2 * 6 = -12[/tex]

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

Meaning it is simplified.

Now, put the equations together:

[tex]3(x - 2) (x^2 + 3x + 6)\\[/tex]

Hope this helps!

Answer:

The answer is 8

Step-by-step explanation:

-8/3 divided by -1x2 / 3x2

-8/3 divded by -1/3

-8/3 x 3 / 3 x -1 = -8/-1 =  8 x -1 + 0 / -1

= 8

So your answer is 8

Please mark Brainliest I answered First

Answer:

subset of {A, B, C} = { }, {A}, {B}, {C}, {A,B}, {B,C},{C,A}

Hope that my answer is helpful to you

Answer:

30× 60 ( 3×2= 6 + tens= 60 )= minimum- 180 fery

Answer:

How old are you

Step-by-step explanation:

Answer:

x=3

Step-by-step explanation:

y = mx + b

m = (y2 - y1)/(x2 - x1)

m = (8+4)/(3-3) = 12/0 = UD

x = 3

Answer:

0

Step-by-step explanation:

Slope = Δy/Δx

Slope = 10-10/4-1

Slope = 0/3

Slope = 0

It is a Horizontal Line

-Chetan K