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3 years ago

Find X 2 (x + 4) = 3 (x - 2)

Mathematics

2 answers:

frez [133]3 years ago

5 0

Just a gentle reminder, everytime if u see bracket,it means a multiply, okey?

labwork [276]3 years ago

3 0

Answer:

Step-by-step explanation:

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

(distribute)

2*x + 2*4 = 3*x + 3 * -2

2x + 8 = 3x + -6

+6 +6 (add 6 on both sides)

2x + 14 = 3x

-2x -2x (subtract 2x on both sides)

14 = x

x is 14, we have found x.

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15. A band expects to have 16 songs on their next

stepladder [879]

Answer:

There will be 13 songs in the final album.

Step-by-step explanation:

i) number of songs expected = 16 songs

ii) the band wrrites 62.5% more

therefore the band writes $16 \times ( 1 + 0.625) = 16 \times 1.625 = 26$ songs

iii) During the editing process 50% of the songs are removed.

Therefore there will be in the final album = $( 1 - 0.5) \times 26 = 0.5 \times 26 = 13$ songs.

8 0

3 years ago

Please answer 5,6,7. With explanation.

Anestetic [448]

First you need to know some rules 2 numbers that are the same with coefficients divided : you differentiate those coeff
and multyplied :you sum up them

12x^8/3x^3= 4x^8-3=4x^5

20^2x=20^x*20^x

m^5*m^-7=m^5-7=m^-2

8 0

3 years ago

Find the following using a calculator. Round to four decimal places. (2 points)

EleoNora [17]

The value of log(0.47) after rounding to 4 decimal place is -0.3279

Option D

Given :

Find the value of log(0.47) using calculator

To find the log value we use the calculator

here we are asked to find out log (0.47) that is the log (decimal)

we cannot find the log value without calculator because we have decimal argument inside log.

Use scientific calculator

Press log first then enter the number 0.47 inside a parenthesis

Press enter , it will show you the log(0.47)

log(0.47) =-0.327902142

Now round the answer to 4 decimal places

We have 0 in the 5th decimal place . so we keep 9 as it is

log(0.47) =-0.3279

Learn more : brainly.com/question/10101390

7 0

2 years ago

How many times 28 go in to 3

Archy [21]

28 divided by 3 is 9.33333333
3 divided by 28 is 0.10714286

4 0

3 years ago

Read 2 more answers

The green triangle is a dilation of the red triangle with a scale factor of s=13 and the center of dilation is at the point (4,2

maxonik [38]

Given:

The red figure dilated with a scale factor of $s=\dfrac{1}{3}$ and the center of dilation is at the point (4,2) to get the green figure.

To find:

The coordinates of C' and A.

Solution:

If a figure is dilated with a scale factor k and the center of dilation is at the point (a,b), then

$(x,y)\to (k(x-a)+a,k(y-b)+b)$

In given problem, the scale factor is $\dfrac{1}{3}$ and the center of dilation is at (4,2).

$(x,y)\to (\dfrac{1}{3}(x-4)+4,\dfrac{1}{3}(y-2)+2)$ ...(i)

Let the vertices of red triangle are A(m,n), B(10,14) and C(-2,11).

Using (i), we get

$C(-2,11)\to C'(\dfrac{1}{3}(-2-4)+4,\dfrac{1}{3}(11-2)+2)$

$C(-2,11)\to C'(\dfrac{1}{3}(-6)+4,\dfrac{1}{3}(9)+2)$

$C(-2,11)\to C'(-2+4,3+2)$

$C(-2,11)\to C'(2,5)$

Therefore, the coordinates of Point C' are C'(2,5).

We assumed that point A is A(m,n).

Using (i), we get

$A(m,n)\to A'(\dfrac{1}{3}(m-4)+4,\dfrac{1}{3}(n-2)+2)$

From the given figure it is clear that the image of point A is (8,4).

$A'(\dfrac{1}{3}(m-4)+4,\dfrac{1}{3}(n-2)+2)=A'(8,4)$

On comparing both sides, we get

$\dfrac{1}{3}(m-4)+4=8$

$\dfrac{1}{3}(m-4)=8-4$

$(m-4)=3(4)$

$m=12+4$

$m=16$

And,

$\dfrac{1}{3}(n-2)+2=4$

$\dfrac{1}{3}(n-2)=4-2$

$(n-2)=3(2)$

$n=6+2$

$n=8$

Therefore, the coordinates of point A are (16,8).

4 0

3 years ago