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alukav5142 [94]
3 years ago
15

Please answer asap What is the value of x in the equation 3(2x + 4) = −6?

Mathematics
1 answer:
nydimaria [60]3 years ago
5 0
First divide 3 both side
Than move 4 to another side
Than divide by 2
\frac{3(2x + 4)}{3}  =  \frac{ - 6}{3 }  \\ 2x + 4 =  - 2 \\ 2x =  - 2 - 4 \\ 2x =  - 6 \\ \frac{2x}{2}  =  \frac{ - 6}{2}  \\ x =  - 3
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In this problem,y = 1/(x2 + c)is a one-parameter family of solutions of the first-order DEy' + 2xy2 = 0.Find a solution of the f
trasher [3.6K]

Differentiate the given solution:

y=\dfrac1{x^2+C}\implies y'=-\dfrac{2x}{(x^2+C)^2}

Substitute y and y' into the ODE:

-\dfrac{2x}{(x^2+C)^2}+2x\left(\dfrac1{x^2+C}\right)^2=0

and it's easy to see the left side indeed reduces to 0.

6 0
2 years ago
A piggy bank is full of dimes and quarters. The total
Talja [164]

She has  27 quarters and 73 dimes.

Write a system of equations.

Let x be the number of quarters, and y be the number of dimes.

x+y=100

0.25x+0.10y=14.05

Solve by substitution:y=100−x

∴0.25x + 0.10(100 - x) = 14.05

0.25x+10−0.10x=14.05

0.15x+10=14.05

0.15x=4.05

x=27

Solve for y now:

y+27=100

y=100−27

y=73

Hence, She has 27 quarters and 73 dimes.

A mathematical equation is a formula that uses the equals sign to represent the equality of two expressions. The meanings of the word equation and its cognates in various languages can vary slightly. For instance, in French, an equation is defined as having one or more variables, whereas, in English, an equation is any well-formed formula that consists of two expressions linked by the equals sign.

Finding the values of the variables that cause the equality to hold true is the first step in solving an equation with variables. The unknown variables are also known as the variables for which the equation must be solved, and the unknown variable values that fulfill the equality are known as the equation's solutions. Equations come in two varieties: identities and conditional equations.

To learn more about account form the given link:

brainly.com/question/10413253

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3 0
1 year ago
The hypotenuse of a right triangle measures 6cm and one of its legs measures 3cm.Find the measure of the other leg. If necessary
belka [17]

Answer:

5.2

Step-by-step explanation:

a^2+b^2=c^2

Where c is the length of hypotenuse

and a, b are lengths of the legs.

Put in 6 for c,

Put in 3 for a and you get 9+b^2=36

Subtract 9 from both sides and get b^2= 27

Then find the square root of both sides to get b, so the answer is the square root of 27.

The cloest square root is 5, then apporixmate the tenths value and see if they work.

Answer: 5.2

8 0
1 year ago
Read 2 more answers
What is 1/1 minus 7/12
Stolb23 [73]
5/12 because 1/1 is a whole, 1, so all you have to do is 1 - 7/12.
5 0
3 years ago
Read 2 more answers
Use the order of operations to find the value of the following expression.
Romashka-Z-Leto [24]
10² - 2 (8) + 11 . Use PEMDAS, which is the order of operation to follow:

P = parenthesis  → 10² - 2x8 +11
E = exponent     → 100 - 2x8 +11
M = Multiplication → 100 -16 +11
D = Division         → NO DIVISION
A = Addition        → 111 -16
S = Subtraction  →  95 (answer 3)

Apply the same logic for the 2nd exercice and you will find 26 (I don't see the 26 in your answer but I am sure it's 26)


7 0
3 years ago
Read 2 more answers
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