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3 years ago

Enter the value of x that makes the given equation true 12x = 3

Mathematics

2 answers:

Inga [223]3 years ago

7 0

The value of x that makes the given equation true : $\large{\boxed{\bold{x=\frac{1}{4}}}$

<h3>Further Explanation </h3>

An equation means what is on the left is equal to what is on the right

The equation will be true if we put a value into the variable that makes the equation true.

One variable linear equation is an equation that has a variable and the exponent number is one.

Can be stated in the form:

$\large {\boxed {\bold {ax = b}}$

ax + b = c,

where a, b, and c are constants, x is a variable

There are several ways to solve an equation

Add / Subtract / divide / multiply the same value on both sides
Combine like terms
Factoring
Expanding

In the equation

12x = 3

we can solve with 2 ways :

1. dividing

we divide both sides by 12 to get the value x

12x: 12 = 3:12

$\displaystyle x=\frac{1}{4}$

2. factoring

we move number 3 to the left

12x-3 = 0

factoring :

3 (4x-1) = 0

3≠ 0 ---> no solution

4x-1 = 0

add 1 to both sides

4x-1 + 1 = 0 + 1

4x = 1

divide 4

4x: 4 = 1: 4

$\displaystyle x=\frac{1}{4}$

<h3>Learn more </h3>

the slope-intercept form of the linear equation

brainly.com/question/1945934

a graph of a linear equation

brainly.com/question/1505806

system of linear equations

brainly.com/question/11544167

Keywords : one variable, linear equation ,the value of x, solution, true

anyanavicka [17]3 years ago

4 0

Answer:

Step 1 :

Pulling out like terms :

1.1 Pull out like factors :

12x - 3 = 3 • (4x - 1)

Equation at the end of step 1 :

Step 2 :

Equations which are never true :

2.1 Solve : 3 = 0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation :

2.2 Solve : 4x-1 = 0

Add 1 to both sides of the equation :

4x = 1

Divide both sides of the equation by 4:

x = 1/4 = 0.250

One solution was found :

x = 1/4 = 0.250

Step-by-step explanation:

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HELP ASAP PLEASE.

ValentinkaMS [17]

Answer:

pls give brainlist

Step-by-step explanation:

a. $\frac{50 blocks (L)}{9 blocks(W)\\}$ 50 x 9 = 450. A=450

b. I can scale the unit rate of the area given above and largen the area of the map. Ex. $\frac{7}{3}$ = $\frac{21}{6}$ <---(scaled by 2)

Then we can enlarge it however we want so,

$\frac{21}{6}$ = $\frac{42}{12}$ <--(scaled by 2 once more)

If the statement above is true then we can scale times 4.

$\frac{7}{3}$ = $\frac{42}{12}\\$ <---(scaled by 4)

A= $\frac{42}{12\\}$

all i can give u at the moment , if u go on M a t h w a y it can help

5 0

2 years ago

Read 2 more answers

QUESTION 3 [10 MARKS] A bakery finds that the price they can sell cakes is given by the function p = 580 − 10x where x is the nu

Andru [333]

Answer:

(a)Revenue=580x-10x²,

Marginal Revenue=580-20x

(b)Fixed Cost, =900

Marginal Cost,=300+50x

(c)Profit Function=280x-900-35x²

(d)x=4

Step-by-step explanation:

The price, p = 580 − 10x where x is the number of cakes sold per day.

Total cost function,c = (30+5x)²

(a) Revenue Function

R(x)=x*p(x)=x(580 − 10x)

R(x)=580x-10x²

Marginal Revenue Function

This is the derivative of the revenue function.

If R(x)=580x-10x²,

R'(x)=580-20x

(b)Total cost function,c = (30+5x)²

c=(30+5x)(30+5x)

=900+300x+25x²

Therefore, Fixed Cost, =900

Marginal Cost Function

This is the derivative of the cost function.

If c(x)=900+300x+25x²

Marginal Cost, c'(x)=300+50x

(c)Profit Function

Profit, P(x)=R(x)-C(x)

=(580x-10x²)-(900+300x+25x²)

=580x-10x²-900-300x-25x²

P(x)=280x-900-35x²

(d)To maximize profit, we take the derivative of P(x) in (c) above and solve for its critical point.

Since P(x)=280x-900-35x²

P'(x)=280-70x

Equate the derivative to zero

280-70x=0

280=70x

x=4

The number of cakes that maximizes profit is 4.

5 0

2 years ago

Solve for x <br> 4(2x-1)= 3x-19

Sophie [7]

X=-3
This is the answer

8 0

3 years ago

Read 2 more answers

Find the value of x and y

Natalija [7]

Hello and Good Morning/Afternoon:

<u>Let's take this problem step-by-step</u>:

<u>What does the information want:</u>

value of x
value of y

<u>Let's gather some information</u>:

ΔA'BC' and ΔABC are similar triangles

⇒ Angle B is shared by both triangles

⇒ Angle A' and A are the same, as they are both on parallel

lines, A'C' and AC, and both angles are formed with the

same line AB

⇒ by the <em>Angle-Angle Theorem*</em>, they are similar triangles

<u>If they are similar triangles</u>:

⇒ their side lengths are proportional to each other

let's find x's value

⇒ let's set up a proportion

$\frac{A'B}{AB} =\frac{A'C'}{AC} \\\frac{30}{x+30} =\frac{14}{22} \\14(x+30) = 30*22\\14x + 420 = 660\\14x = 240\\x = 17.143$

let's find y's value

⇒ let's set up a proportion

$\frac{BC'}{BC} =\frac{A'C'}{AC} \\\frac{y}{y+15} =\frac{14}{22} \\22y=14(y+15)\\22y=14y+210\\8y=210\\y=26.25$

<u>Answer:</u>

<u>x= 17.143</u>
<u>y = 26.25</u>

Hope that helps!

#LearnwithBrainly

5 0

1 year ago

Help with this please its pretty easy

Gala2k [10]

Answer:

c=11/36

Step-by-step explanation:

i dont know if that what you want + what is the source of you question?

4 0

3 years ago