A car costs £15000. Work out the price after a 13% discount.

Answer:

p(x)= 6(x+2)^2 -3

Step-by-step explanation:

Start with equation reworded

6x^2+24x+21

Factor

6(x^2+4x+7/2)

Complete the square

6(X^2 + 4x + 2^2 - 2^2 + 7/2)

Use binomial formula

6((x+2)^2 - 2^2 + 7/2)

Simplify

6((x+2)^2 - 1/2)

Expand

6(X+2)^2 - 3

Answer:

p(x)= 6(x+2)^2 -3

Step-by-step explanation:

Answer:

obtuse

Step-by-step explanation:

The measure of ∠COB is 140° which is greater than 90° but less than 180° so it's an obtuse angle.

Angle COB is 140 degrees, which is Obtuse

Obtuse means between 90 degrees and 180 degrees, exclusive.

========================================================

Explanation:

For each possible answer choice, you'll plug in the given coordinates to see which results in a true equation or not.

If we try choice A, then we plug in x = 2 and y = -1 to get

-5x-9y = -8

-5(2)-9(-1) = -8

-10+9 = -8

-1 = -8 which is false

So (x,y) = (2,-1) is not a solution. We can cross choice A off the list.

You'll find a similar situation happens with choices B and D. They don't work either.

-------

Choice C works because...

-5x-9y = -8

-5(-2)-9(2) = -8 .... replaced x with -2, replaced y with 2

10-18 = -8

-8 = -8

We get a true equation. So (-2,2) has been confirmed to be a solution.

Question:

Which fraction is equivalent to [tex]\frac{2}{6}[/tex]?

- [tex]\frac{3}{7}[/tex] because [tex]\frac{2}{6}= \frac{2 + 1}{6 + 1}[/tex]

- [tex]\frac{3}{9}[/tex] because [tex]\frac{2}{6}= \frac{1}{3}[/tex] and [tex]\frac{1}{3} = \frac{3}{9}[/tex]

- [tex]\frac{3}{12}[/tex] because [tex]\frac{2}{6}= \frac{1}{3}[/tex] and [tex]\frac{1}{3} = \frac{3}{9}[/tex]

- [tex]\frac{3}{8}[/tex] because [tex]\frac{2}{6}= \frac{1}{2} = \frac{2+1}{6+2} = \frac{3}{8}[/tex]

Answer:

- [tex]\frac{3}{9}[/tex] because [tex]\frac{2}{6}= \frac{1}{3}[/tex] and [tex]\frac{1}{3} = \frac{3}{9}[/tex]

Step-by-step explanation:

Two fractions are said to be equal if and only if they give the same value when simplified.

The equivalent of [tex]\frac{2}{6}[/tex] is as explained in the selected option;

First, divide numerator and denominator by 2

[tex]\frac{2/2}{6/2}[/tex]

Then simplify

2/2 = 1 and 6/2 = 3; So;

[tex]\frac{2/2}{6/2} = \frac{1}{3}[/tex]

Multiply numerator and denominator by 3

[tex]\frac{1*3}{3*3} = \frac{3}{9}[/tex]

Hence, [tex]\frac{2}{6}[/tex] is equivalent to [tex]\frac{3}{9}[/tex]

Answer:

B

Step-by-step explanation:

StartFraction 3 Over 9 EndFraction, because StartFraction 2 Over 6 EndFraction = one-third and One-third = StartFraction 3 Over 9 EndFraction

Answer:

x = -0.62 and x = 4.29

These values are approximations !

Step-by-step explanation:

You can not use Factoring to solve this equation. Perhaps you did not use the exact notation as in the original question?

Anyway, to solve it, you can still use the ABC formula.

3x²-11x-6=0

a = 3

b =-11

c = -6

x = [11 + √{121 -4(3 *-6)} ]/ 2*3

x = [11 + √{121 -4(-24)} ]/ 6

x = [11 + √{121 + 96} ]/ 6

x = [11 + √{217} ]/ 6

x = 4.29 This is an approximation !

x = [11 - √{121 -4(3 *-6)} ]/ 2*3

x = [11 - √{121 -4(-24)} ]/ 6

x = [11 - √{121 + 96} ]/ 6

x = [11 - √{217} ]/ 6

x = -0.62 This is an approximation !

extra: see the graph.

Answer:

x = -0.5

Step-by-step explanation:

From your last step:

6.8x + 9.3 = -2.6 - 17x

We have two terms with x in them on different sides of the equation, so we want to bring the 'x terms' over to the same side.

Add 17x to both sides of the equation.

6.8x + 17x + 9.3 = -2.6

Collect like terms

23.8x + 9.3 = -2.6

Subtract 9.3 from both sides

23.8x = -2.6 - 9.3

23.8x = -11.9

Divide both sides by 23.8

x = -0.5

Answer:

The value of [tex]x[/tex]:

[tex]x = 44[/tex]

Step-by-step explanation:

Find the value of [tex]x[/tex]:

[tex]2(x + 10) = 3(x-8)[/tex]

Use Distributive Property:

[tex]2(x + 10) = 3(x-8)[/tex]

[tex]2x +20 = 3x - 24[/tex]

-Subtract both sides by [tex]3x[/tex] and combine both [tex]2x[/tex] and [tex]-3x[/tex] together:

[tex]2x +20 - 3x = 3x - 3x - 24[/tex]

[tex]-x + 20 = -24[/tex]

-Subtract both sides by [tex]20[/tex]:

[tex]-x + 20 - 20 = - 24 - 20[/tex]

[tex]-x = -44[/tex]

Divide both sides by [tex]-1[/tex]:

[tex]\frac{-x}{-1} = \frac{-44}{-1}[/tex]

[tex]x = 44[/tex]

So, the final answer would be [tex]x = 44[/tex].

Answer:

(-5.5, 3.2)

Step-by-step explanation:

According to the question, the data provided in the question is as follows

(x,y) = (x + 4.5 , y -6.2)

Now

(x + 4.5 , y -6.2) = (-1,-3)

Therefore

x + 4.5 = -1

So, the x equals to

= -1 - 4.5

= -5.5

Now

y - 6.2 =  -3

So, the y is

= - 3 + 6.2

= 3.2

hence, the coordinates of point C of x and y is (-5.5, 3.2)

Therefore the third option is correct

Answer:

C

Step-by-step explanation:

Answer:

1947 units^2

Step-by-step explanation:

you can split it up into different sections of rectangles.

the first one is 25x39= 975

The second section is the connector which you do

43-25=18

and you do 39-27=12 and then

you multiple 18x12 which equals 216

and the final section you do 24+12=36

and 36x21=756

and finally you add them all up to equal 1947 units^2

Answer:

D.

Step-by-step explanation:

f(5) = -25 + 40

f(5) = 15

Answer:

The answer is D) 15

Step-by-step explanation:

F(x)= 5x + 40 (substitute -5 for x)

= F(x)= 5(-5)+ 40

= F(x)= -25+40

F(x)= 15            

Answer:

8 x^6

Step-by-step explanation:

4x^3× 2x^3

Multiply the numbers

4*2 = 8

Then the variables

x^3 * x^3 = x^(3+3) = x^6

8 x^6

Answer:

[tex]8x^{6}[/tex] (I am assuming you meant [tex]4x^3*2x^3[/tex]

Step-by-step explanation:

First you multiply the coefficients 4 and 2 which equals 8

Then you multiply the x's and when you multiply variables that are raised to powers you add the powers

so [tex]x^3*x^3 = x^(3+3)[/tex]

Putting this together you get [tex]8x^{6}[/tex]

Answer:

[tex] \frac{x - 4}{x - 7} [/tex]

Step-by-step explanation:

[tex] \frac{ {x}^{2} + 2x - 24 }{ {x}^{2} - x - 42 } \\ \frac{(x + 6) (x - 4)}{(x - 7)(x + 6)} \:the \: term \: will \: be \: simplified (x + 6) \\ and \: we \: will \: be \: left \: with \: \frac{x - 4}{x - 7} [/tex]

Answer:

Step-by-step explanation:

x² + 2x - 24 = x² + 6x  - 4x - 4 * 6

                   = x(x + 6) - 4(x + 6)

                   = (x + 6) (x - 4)

x² - x - 42 = x² -7x + 6x - 6 * 7

                = x(x - 7) + 6(x - 7)

               =  (x - 7) (x + 6)

[tex]\frac{x^{2}+2x-24}{x^{2}-x-42}=\frac{(x + 6)*(x-4)}{(x+6)(x-7)}\\\\\\=\frac{x-4}{x-7}[/tex]

Answer:

36

Step-by-step explanation:

Because the bases are the same we can just subtract the exponents to get us 6² or 36.

Answer:

Trig is SOHCAHTOA i think

Step-by-step explanation:

SOH is sin which is opposite/hypotenuse

CAH is cos which is adjacent/hypotenuse

TOA is tan which is opposite/adjacent

Hope this helps please leave a comment :)

Answer: A line that splits an angle into two equal angles.

Step-by-step explanation:  ("Bisect" means to divide into two equal parts.)

Bisecting angles: A line that splits an angle into two equal angles.

Answer: A Collecting data

Step-by-step explanation:

just did the quiz

Answer:

Step-by-step explanation:

In order to know the two factors we are to multiply together to get the trinomial function 5x² + 8x – 4, we need to factorize the quadratic function given. On factorizing;

[tex]= 5x^{2} +8x-4\\= (5x^{2} +10x)-(2x-4)\\\\factoring\ out\ the\ common\ term\\= 5x(x+2)-2(x+2)\\= (5x-2)(x+2)\\[/tex]

The factors that can be multiplied together are (5x – 2) and  (x + 2)

Answer:

The Answer On Edge Is C.) and E.), Have Fun Dreamers!

Step-by-step explanation:

Step-by-step explanation:

1 (b) ( boy, boy), (boy,girl), ( girl,boy ), ( girl, girl )

(c) 4

(d) 2/4 = 1/2

(e) 1/4

2 (a) (1,head), (1,tail), (2,head), (2,tail), (3,head), (3,tail), (4,head), (4,tail)

(b) (A,1) (A,2), (A,3), (B,1), (B,2), (B,3), (C,1), (C,2),

(C,3)

Answer:

6^10

Step-by-step explanation:

2+11=13

13-3=10

Answer:

x =1

Step-by-step explanation:

7x + 10= 18x -1 ==> 7x - 18x = -1 -10 ==> -11x = -11 ==>x = 1

7x+10=18x-1

+1. +1

7x+11=18x

-7x. -7x

11=11x

Divide it all by 11

1=x

X=1

Answer: A line has one dimension because it is made up of a figure with no thiknes that extends infinitely in both directions.

Step-by-step explanation:

A line is a one-dimensional figure, it has no thickness.

For reference,  point is zero dimesional, a plane is twodimensional.

Then the correct answer would be:

A line has one dimension because it is made up of a figure with no thiknes that extends infinitely in both directions.

Answer:

y = 8

Step-by-step explanation:

y= [tex]\frac{1}{3} x[/tex] + 6

[tex]x[/tex] = -6

y=([tex]\frac{1}{3}[/tex] x 6) + 6

y= 2+6 = 8

Answer:   [tex]\left[\begin{array}{ccc}11&13&3\\1&9&17\\15&5&7\end{array}\right][/tex]

Step-by-step explanation:

A magic cube is something like:

[tex]\left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right][/tex]

Where the numbers that we must use are:

1, 3, 5, 7, 9, 11, 13, 15, 17

If we take the addition of those 9 numbers, we get 81.

Now, we divide it by 3 (the number of numbers in each row or column) and get:

81/3 = 27

so the sum in each row, column and diagonal must be 27.

1 + 9 + 17 = 27

13 + 11 + 3 = 27

5 + 7 + 15 = 27

9 + 13 + 5 = 27

You can keep playing with this, and then start forming our number cube, some of the hints tat we can use is that the median of the group is 9, so it must be in the middle of the cuve, and the extremes, 1 and 17, must be in the same column or row as 9.

so we start with:

[tex]\left[\begin{array}{ccc}x&x&x\\1&9&17\\x&x&x\end{array}\right][/tex]

and start to fill the empty spaces, now we can use that

1 + 11 + 15 = 27 and get:

[tex]\left[\begin{array}{ccc}11&x&x\\1&9&17\\15&x&x\end{array}\right][/tex]

now for the diagonals:

11 + 9 + 7 = 27

15 + 9 + 3 = 27

[tex]\left[\begin{array}{ccc}11&x&3\\1&9&17\\15&x&7\end{array}\right][/tex]

and for the last one:

11 + 3 + 13 = 27

15 + 7 + 5 = 27

[tex]\left[\begin{array}{ccc}11&13&3\\1&9&17\\15&5&7\end{array}\right][/tex]

Answer:

[tex]\frac{130}{n}[/tex]

Step-by-step explanation:

Each friend would get [tex]\frac{130}{n}[/tex] sand dollars.

As they would get an equal proportion based on the population size.

Answer:

Dirección y magnitud

Espero que esto ayude.

Answer:

Dirección y magnitud

Step-by-step explanation:

Answer

[tex]\sqrt[6]{2}[/tex]

Step-by-step explanation:

[tex]\sqrt{2} = \sqrt[6]{8}[/tex]

[tex]\sqrt[3]{2} = \sqrt[6]{4}[/tex]

Answer: 10.2

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

5×2=10

10-15x-20

-10-15x

5(-2-3x), or -5(x+4)(x-1) solve it and find your answer

Answer:

1/3

Step-by-step explanation:

If you add all the n's, it would make 3n=1.  Divide both sides by 3 and get n=1/3

Answer:

0.333 or 1/3

Step-by-step explanation:

0.333*3=1