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Luden [163]
3 years ago
9

Solve the equation in two different ways. Choose one method of solving in detail 5x+7(x+1) = 5x - 21

Mathematics
1 answer:
frozen [14]3 years ago
6 0

Answer:

METHOD 1:

5x+7(x+1)=5x-21

5x+7x+7=5x-21

12x+7=5x-21

12x-5x=-21-7

7x=-28

x=28/7

x=4

METHOD 2:

5x+7(x+1)=5x-21

5x+7(x+1)=5x-21-5x

7(x+1)=-21

7x+7=-21

7x=-28

x=4

Step-by-step explanation:

METHOD 1:

5x+7(x+1)=5x-21

5x+7x+7=5x-21

12x+7=5x-21

12x-5x=-21-7

7x=-28

x=28/7

x=4

METHOD 2:

5x+7(x+1)=5x-21

5x+7(x+1)=5x-21-5x

7(x+1)=-21

7x+7=-21

7x=-28

x=4

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Talja [164]

Answer:

Four less than an unknown value E) y-4

Quotient of a variable and four B) \frac{z}{4}

Some number to the power of four A) a^4

Four times an unknown value D) 4x

Four more than some number C) b+4

Step-by-step explanation:

Let's analyze each statement separately:

- Four less than an unknown value --> this means that we have to subtract 4 to an unknown value. Calling y the unknown value, it means we have to write

y-4

- Quotient of a variable and four --> this means we have to divide a variable by 4. Calling z the unknown variabl, it means we have to write

\frac{z}{4}

- Some number to the power of four --> this means that we have to write the power of a number, in the form a^m, where m in this case is equal to 4. Calling a the unknown number, it means we have to write

a^4

- Four times an unknown value --> this means that we have to multiply an unknown value by 4. Calling x our unknown values, we have to write

4x

- Four more than some number --> this means we have to add 4 to an unknown number. Calling b the unknown number, it means we have to write

b+4

7 0
3 years ago
Read 2 more answers
What is 3 2/5 x 2 1/3 ?
Hitman42 [59]
3 2/5 x 2 1/3 rewrite

12/5 x 7/3 convert into fractions instead of mixed fraction then multiply straight across

84/15 would be your final answer you might need to reduce it though :) hope i helped
5 0
3 years ago
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Graph the solution to this system of inequalities in the coordinate plane.
Vsevolod [243]

By using Geogebra online graphing calculator, the solution to this system of inequalities are plotted in the image attached below.

<h3>What is an inequality?</h3>

An inequality is a mathematical relation that compares two (2) or more integers and variables in an equation based on any of the following:

  • Less than (<).
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Given the following system of inequalities:

3y > 2x + 12  ⇒ 3y - 2x > 12

2x + y ≤ -5

By using Geogebra online graphing calculator, the solution to this system of inequalities are plotted in the image attached below.

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#SPJ1

3 0
2 years ago
Find the total travel time: Depart 5:30 pm MST Arrive 9:20 pm CST.
laila [671]

Answer: 3 hours and 50 min

Step-by-step explanation:look at each answer

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7 0
3 years ago
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The given two-parameter family is a solution of the indicated differential equation on the interval
mr_godi [17]

Answer:

I do 1 option for you as an example, you need to check the leftover by yourself.

Step-by-step explanation:

for d) y(0) = 0 and y'(pi) =0

y(0) = C_1e^0cos(0)+ C_2 e^0 sin(0) = 0 \longrightarrow C_1 = 0

y(x) ' = C_1e^x cos(x) - C_1e^x sin (x) + C_2e^x sin(x) + C_2e^x cos(x)

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Replace C_1 = 0 we have

y'(\pi) = -C_2e^\pi = 0

if and only if C_2 =0

Hence the given solution does not work.

then, d is NOT the correct answer.

3 0
3 years ago
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