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son4ous [18]
3 years ago
7

What is the justification for the step taken from line 2 to line 3?

Mathematics
2 answers:
stiv31 [10]3 years ago
3 0

Step-by-step explanation:

3x+9-7x=x+10+x\\-4x+9=2x+10\\-6x+9=10\\

  • In the line 2, only variables were operated with a reduction of similar terms in each side of the equation, giving as result -4x at one side, and 2x at the other side.
  • In the line 3, terms with variables were joined together in one side of the equation, and then, they were operate it, given as result -6X.
brilliants [131]3 years ago
3 0

Answer:

the subtraction property of equality

Step-by-step explanation:

up up up uppity

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Charlie invests £1200 at 3.5% per annum compound interest.
lbvjy [14]

Answer:

<h2>£1,330.46</h2>

Step-by-step explanation:

Using the compound interest formula A = P(1+\frac{r}{n} )^{nt}

A = amount compounded after n years

P = principal (amount invested)

r = rate (in %)

t = time (in years)

n = time used to compound the money

Given P =  £1200., r = 3.5%, t = 3years, n = 1 year(compounded annually)

A = 1200(1+0.035)^{3}\\ A = 1200(1.035)^{3}\\ A = 1200* 1.108717875\\A = 1,330.46

Value of Charlie's investment after 3 years is £1,330.46

6 0
3 years ago
The table shows the height of a plant as it grows. Which equation in point ­slope form gives the plant’s height at any time
vodka [1.7K]

Answer:

Option A is correct.

y-16=8(x-2) is the equation represent the point slope form gives the plant's height at any time.

Step-by-step explanation:

Point slope intercept form: For any two points (x_1, y_1) and  (x_2, y_2) then,

the general form

y-y_1=m(x-x_1) for linear equations;  where m is the slope given by:

m =\frac{y_2-y_1}{x_2-x_1}

Consider any two points from the table;

let A= (2 , 16) and B =(4, 32)

First calculate the slope of the line AB:

m =\frac{y_2-y_1}{x_2-x_1}=\frac{32-16}{4-2}=\frac{16}{2} = 8

Therefore, slope of the line m = 8

Then,

the equation of line is:

y-y_1=m(x-x_1)

Substitute the value of m=8 and (2, 16) above we get;

y-16=8(x-2)

Therefore, the equation in point slope form which gives the plant's height at any time is; y-16=8(x-2) , where x is the time(months) and y is the plant height (cm)


5 0
3 years ago
Read 2 more answers
-2(x+6)+3= -11x+4(x+4)
Katarina [22]
Distribute 
-2(x+6)+3
-2x-12+3
-2x-12+3=-11x+4(x+4)
Distribute 
4(x+4)
4x+16
-2x-12+3=-11x+4x+16
Combine Numbers && Variables 
-2x-9=-7x+16
Add The 7 Over To The -2x 
5x-9=16
Add 9 Over To 16 
5x=25
x=5 
So 5 Is Your Answer

~Hope This Helps :)
Need More Help With Question Just Inbox Me 
Also Rate, Give Thanks, And Mark As Brainiliest. 
Thank You ;) 
3 0
3 years ago
In​ 2009, the national debt of a government was about ​$10.5 trillion. Using 308.0 million as the population for that​ year, abo
Katarina [22]

Answer:

34091 dollars per person

Step-by-step explanation:

In order to answer the question, you have to divide the amount of debt by the amount of population to obtain the amount of dollars per person.

The debt was $10.5 trillion. A trillion is a thousand billion  (1000 multiplied by a billion which is 10^{9} in scientific notation)

1000=10^{3}

One trillion is (10^{3})(10^{9})=10^{12}

The debt is: $ 10.5 x 10^{12}

The population is scientific notation is: 308.0 x 10^{6}

Dividing the amount of debt by the amount of population:

\frac{(10.5)(10^{12})}{(308.0)(10^{6})}=\frac{(10.5)(10^{12-6})}{308.0}=\frac{(10.5)(10^{6})}{308.0}

Simplifying and expressing it in standard notation:

34090.9 dollars per person

Rounding to the nearest dollar:

34091 dollars per person.

4 0
3 years ago
A figure has a vertex at (5, 2). If the figure has line symmetry about the y-axis, what are the coordinates of another vertex of
snow_tiger [21]
The answer will be (-5, 2)
8 0
3 years ago
Read 2 more answers
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