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3 years ago

Solve for x. 2/x =2/6

1 answer:

7 0

The answer is x = 6.

Here are the steps.

1. Simplify 2/6 to 1/3 ( 2/x = 1/3 ).

2. Multiply both sides by x ( 2 = 1/3x ).

3. Simplify 1/3x to x/3 ( 2 = x/3 ).

4. Multiply both sides by 3 ( 2 * 3 = x ).

5. Simplify 2 * 3 to 6 ( 6 = x ).

Now finally switch it up and the answer is x = 6.

You might be interested in

What’s does 2+2 evaluation to

topjm [15]

Answer:4

Step-by-step explanation:

2+2 = 4

Adding 2 in 2 gives us 4.

4 0

3 years ago

enelope determined the solutions of the quadratic function by completing the square. f(x) = 4x2 + 8x + 1 –1 = 4x2 + 8x –1 = 4(x2

Marat540 [252]

The correct question is
<span>Penelope determined the solutions of the quadratic function by completing the square.
f(x) = 4x² + 8x + 1
–1 = 4x² + 8x
–1 = 4(x² + 2x)
–1 + 1 = 4(x² + 2x + 1)
0 = 4(x + 2)²
0 = (x + 2)²
0 = x + 2
–2 = x
What error did Penelope make in her work?

we have that
</span>f(x) = 4x² + 8x + 1
to find the solutions of the quadratic function
let
f(x)=0
4x² + 8x + 1=0

Group terms that contain the same variable, and move the constant to the opposite side of the equation

(4x² + 8x)=-1

Factor the leading coefficient

4*(x² + 2x)=-1

Complete the square Remember to balance the equation by adding the same constants to each side.

4*(x² + 2x+1)=-1+4 --------> ( added 4 to both sides)

Rewrite as perfect squares

4*(x+1)²=3

(x+1)²=3/4--------> (+/-)[x+1]=√3/2

(+)[x+1]=√3/2---> x1=(√3/2)-1----> x1=(√3-2)/2

(-)[x+1]=√3/2----> x2=(-2-√3)/2

therefore

the answer is

<span>Penelope should have added 4 to both sides instead of adding 1.</span>

6 0

3 years ago

Read 2 more answers

Three sailors were marooned on a deserted island that was also inhabited by a band of monkeys. The sailors worked all day to col

noname [10]

Step-by-step explanation:

x-the initial number of coconuts

x=3y+1

2y=3z+1

2z=3×7+1=>z=11=>y=17=>x=52

7 0

3 years ago

7400 dollars is placed in an account with an annual interest

Anastasy [175]

Answer:

Step-by-step explanation:

We have the following equation for compounding annual interest

AV=PV(1+i)ⁿ

We have

19200=7400(1+.06)ⁿ

Solve for n

divide both sides by 7400

2.594=(1.06)ⁿ

then use the following rule for exponents

$x^y=z\\log_xz=y$

which means that

$log_{1.06}2.594=n$

Solve and get

16.362

which rounds to 17

6 0

3 years ago

Linear equation topic. (Lisa is 5 years younger than his elder brother,Daniel.The product of their ages is 2/3 of their grandmot

alisha [4.7K]

Let Daniel's age be 'x' years , hence, Lisa's age is (x - 5) years. Let Grandma's age be 'y' = 54 years.
Hence,
x(x - 5) = 2/3 × y
x² - 5x = 2 × 54 years / 3
x² - 5x = 36 years
x² - 5x - 36 = 0
∆ = (-5)² - 4(1)(-36) = 25 + 144 = 169
√∆ = √169 = 13
$x\: = \: \frac{ - b \: \frac{ + }{ } \: \sqrt{ {b}^{2} \: - \: 4ac} }{2a}$
x1 = (5+13)/2, x2 = (5-13)/2
x1 = 9, x2 = -4
Since, age can't be negative,
Daniel's age = x = 9 years.

7 0

3 years ago