7x - 3= -3 + 7x

Can someone explain

Step-by-step explanation:

Let

{1/(x+2y)} = u -----Eqn(1)

{1/(x-2y)} = v ------Eqn(2)

So, given equation can be rewritten as

⇛6u + 5v = -3 ---Eqn(3)

⇛3u + 7v = -6 -----Eqn(4)

On multiply equation (4) by 2, we get

⇛6u + 14v = -12 -----Eqn(5)

On subtracting equation (3) from equation (5), we get

⇛9v = -9

⇛v = -9/9

⇛v = -1 ----Eqn(6)

Put value of v in equation (3), we get

6u + 5v = -3

⇛6u + 5 * (-1) = -3

⇛6u -5 = -3

⇛6u = -3 + 5

⇛6u = 2

⇛u = 2/6

⇛u = (2÷2)/(6÷2)

⇛u = 1/3 -----Eqn(7)

Now, substituting value of u and v in equation (1) and equation (2), we get

{1/(x+2y)} = 1/3 and {1/(x-2y)} = -1

⇛x + 2y = 3 -----Eqn(8)

⇛x - 2y = -1 -------Eqn(9)

Now, add equation (8) and equation (9) , we get

⇛2x = 2

⇛x = 2/2

On substituting x = 1 in equation (8), we get

x + 2y = 3

⇛ 1 + 2y = 3

⇛2y = 3 - 1

⇛2y = 2

⇛y = 2/2

Therefore, x = 1 and y = 1

Answer: Hence the value of x and y is 1 and 1.

Answer:

x=41 et y=131

Step-by-step explanation:

49+x=90

x=90-49=41

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

y=90+x

y=90+41=131

Answer:

131°

Step-by-step explanation:

take the line with angle 49°

st line angle is 180°

49+90+a = 180 where (a+90=y)

139+a = 180

a = 180-139=. 41°

by opposite angles equal axiom a =x = 41°

y = 131°

The first step in solving the first equation is different from the first step of solving the second equation because,

In the first equation, start by squaring both sides to eliminate the radical, but in the second equation, start by adding 1 to both sides to isolate the radical.

Thus the option B is the correct option.

Algebraic expression are the expression which consist the variables, coefficients of variables and constants.

The algebraic expression are used represent the general problem in the mathematical way to solve them.

Given information-

The first equation given in the problem is,

[tex](x-1)^2=8[/tex]

The above equation can be solve using the algebraic formula of whole square of two number as,

[tex](x-1)^2=8\\x^2+1^2-2x=8\\x^2-2x-8+1=0\\x^2-2x-7=0[/tex]

The first equation can be solved by putting square root both side as,

[tex]\sqrt{(x-1)^2}=\sqrt{8}\\(x-1)=\sqrt{8}\\x=2\sqrt{3}+1[/tex]

The second equation given in the problem is,

[tex]x^2-1^2=8[/tex]

The above equation can be solve using the algebraic formula of difference of the square of two number as,

[tex]x^2-1=8\\x^2=8+1\\x^2=9\\x=\pm3[/tex]

Hence, The first step in solving the first equation is different from the first step of solving the second equation because,

In the first equation, start by squaring both sides to eliminate the radical, but in the second equation, start by adding 1 to both sides to isolate the radical.

Thus the option B is the correct option.

Learn more about the algebraic expression here;

https://brainly.com/question/2164351

Answer:

B.

Step-by-step explanation:

Correct on Edgen. (2022)

Answer:

125/8

is the final answer

Step-by-step explanation:

1.transform the expression

2.calculate

3.(final answer)

Answer:

I Believe the answer is either 3 5/8 or 29/8

Step-by-step explanation:

You have to find the most common denominator which for 1/2 and 1/8 is 8 and then you would do 1/2 1*3 and 2*4 to get 4/8 add them together for 5/8 then would would either add 24/8 to equal the 3 or you would leave the three by itself (depends on what your teacher says for simplification)

As for defining simplification it is solving the problem best you can with the information you are given.

Answer:C

Step-by-step explanation:
First set up as a subtraction problem

Second determine if you need to change the scientific notation

Third subtract

Fourth move decimal to right how many spaces needed for the scientific notation

Fifth add comas and you got your answer!

Hope this helps!:)

Your problem is in purple pen the rest is my science notes.

Answer:

A) T is located on (-5, 2); radius = 9 units

Step-by-step explanation:

eqn of circle= (x-a)^2 + (y-b)^2 = r^2

where (a,b) is centre of circle.

(x+5)^2 = (x - (-5) )^2

(y-2)^2 = (y - (2) )^2

(-5,2)

r^2 =81

r = sqrt of 81

r = 9

Answer:

Step-by-step explanation:

Discount would be: 45 *40 / 100

=18

(D)$18 is the answer

Answer: x = 6

Step-by-step explanation:

Because we are given that the two figures are already similar, we can set up a proportional relationship to determine the value of x. Since the larger rectangle has a width of 21 and the smaller rectangle has a width of 7, those values can be used as the numerators in the proportion. Since the larger rectangle's length is x plus the additional 3 units on the smaller rectangle, x+3 and 3 can be used as the denominators in the proportion.

Next, we set up the proportion as follows:

[tex]\frac{21}{x+3} =\frac{7}{3}[/tex]

Then, you cross multiply to get the equation:

[tex]63=7x+21[/tex]

After solving down algebraically, you get the value of x to be 6.

I hope this helps!

Answer:

X = 35.7 Y=54.3

Step-by-step explanation:

Let the 2 angles be called X and Y were X is the smaller angle

we know that both angles are complementary therefore
X+Y=90

X = Y - 18.6 ( Given )

Y - 18.6 + Y = 90 ( substitution)

2Y = 90 + 18.6

Y = 108.6/2

Y=54.3

X= Y-18.6= 54.3-18.6 = 35.7

Check : X + Y = 35.7+54.3=90

Answer:

-10

Step-by-step explanation:

right on edge 2022

Answer:

(C) 88 years time

Step-by-step explanation:

Since they are asking the next time they will meet in the same position, they are looking for the LCM (Least Common Multiple) of 22 and 8. That will yield 88.

Hope this helps :)

The increase in surface area of the bag is by a factor of 20.

Scaling is the increase or decrease in  the size of an object or figure by a factor k, so as to create an image.

Given that the bag size is increased so as to carry more food, hence:

Scale factor = 40 pounds / 2 pounds = 20

The increase in surface area of the bag is by a factor of 20.

Find out more on scaling at: https://brainly.com/question/25324744

Answer:

B. 2x + 4y

Step-by-step explanation:

If x = 4, and y = 7, let's substitute these values for x and y in the equations!

For A, the equation is 2xy. Substitute the values and you have 2(4)(7) which equals 56. This expression is incorrect since the expression doesn't equal 36.

For B, the equation is 2x + 4y. Substitute and you get the equation

2(4) + 4(7) → 8 + 28 = 36.

36 is your desired value, and you get that with the expression 2x + 4y.

Answer:

A. 56

B. 36

C. 38

D. 34

Step-by-step explanation:

the answer is B

Step-by-step explanation:

Initial value is the y-intercept:

Rate of change is the difference in the charge amount per year:

The equation would be:

Initial value

b=1,200

Rate of change is the difference in the charge amount per year:

m = (1,350 - 1,200) / (8 - 5) = 150 / 3 = 50

The equation would be:

y = 50x + 1200

Answer:

$2.499

Step-by-step explanation:

7.14 × .35 = 2.499

Answer:

13

Step-by-step explanation:

3n+1

Let n= 4

3(4)+1

12+1

13

Answer:

[tex]{ \tt{f(n) = 3n + 1}} [/tex]

» When n is 4, f(n) is f(4);

[tex]{ \tt{f(4) = 3(4) + 1}} \\ { \tt{f(4) = 12 + 1}} \\ { \underline{ \tt{ \: f(4) = 13 \: }}}[/tex]

Answer:

40 mi/h

Step-by-step explanation:

I hope this helps a lot

Answer:

it dropped 20°F

Step-by-step explanation: since its at -2°F, u subtract 18°F to get 0°F. Then you subtract another 2°F to get -2°F. hope this helped. Its pretty simple.

Answer:

15

Step-by-step explanation:

2x3x15 equals to 90

The total cost of the stools is $540.

a + b = 32 equation 1

3a + 4a = 108 equation 2

Where:

a = three legged stools

b = four legged stools

In order to determine the required value, take the following steps:

Multiply equation 1 by 3

3a + 3b = 96 equation 3

Subtract equation 3 from equation 2

b = 12

Substitute for b in equation 1

a + 12 = 32

a = 32 - 12

a = 20

20(15) + 20(12) =

240 + 300 = $540

To learn more about simultaneous equations, please check: https://brainly.com/question/25875552

The value should be used for n, the number of periods over which the loan is repaid in 60 periods.

We have to determine

In calculating the monthly payment for a five-year loan, what value should be used for n, the number of periods over which the loan is repaid, as it appears in the following formula?

The value of the monthly payment is given by;

[tex]\rm P=PV\times \dfrac{i}{1-(1+i)^{-n}}[/tex]

Where,

Therefore,

The value should be used for n, the number of periods over which the loan is repaid;

n = 6 years × 12 months/year = 60 months = 60 periods.

Hence, The value should be used for n, the number of periods over which the loan is repaid in 60 periods.

To know more about Monthly payment click the link given below.

https://brainly.com/question/26351994

Answer:

C:60

Step-by-step explanation:

edge 2022

Answer:

5/8

Step-by-step explanation:

So, let's do the first one first.

You want to make the fraction have the same denominator (bottom number). So, in this case, we have 3/8 and 3/4. If we want them to have the same bottom number, we keep 3/8 how it is, and multiply 2/2 by the 3/4 to get 6/8. So, now we have 3/8 + 6/8. 3/8 + 6/8 = 9/8.

Now, we have 1/3 + 1/6. So, we are going to do the same thing, keep the 1/6, and multiply 1/3 by 2/2, so that the bottom number is equal to the other fraction's bottom number. So, 1/3 x 2/2 = 2/6. Now, we have the equation 2/6 + 1/6. 2/6 + 1/6 = 3/6.

Now, we have this final equation: 9/8 - 3/6. So, now we need to find the denominator that both of them can deal with. So, in this case, we can do 24.

9/8 x 3/3 = 27/24

3/6 x 4/4 = 12/24

Now, we subtract:

 27/24

- 12/24

_______

15/24.

Now, we simplify.

15 divided by 3 = 5.

24 divided by 3 = 8

So, 5/8 is our final answer.

Answer:

The Answer is C

Step-by-step explanation:

Answer:

12288

Step-by-step explanation:

In terms of exponential growth and decay, you would start by putting it into the formula, "f(x)=a⋅b^x". You'll put 3 as a and since it's increasing double (or 100%) each month, you'll put b as 2 since you need to add one unit. For ^x, you'll add 12 since there are 12 months in a year. Your completed formula would come out as 3(2)^12 which would come out to 12288.

Answer:

answer below

Step-by-step explanation:

when f(x+7)

moves the vertex to the LEFT not right

so the vertext would be (-5,-7)

when f(-x)

the graph is a reflection in y axis

so the vertex would be (-2,-3)

hope this helps!

Answer:

61

Step-by-step explanation:

160-99 = 61

Answer:

Solution,

160-99=61

Hence, 160 is more than by 61

Step-by-step explanation:

Answer:

the constant of proportionality is 8.5

Step-by-step explanation:

25.50-17.00=8.50

34.00-25.00=8.50

42.50-34.00=8.50

hope this helps

pls rate brainliest

Answer:

14 square units

Step-by-step explanation: