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3 years ago

What is the solution to the equation 1/3(12x-6)=4x-9

1 answer:

n200080 [17]3 years ago

7 0

<h3>Answer:</h3><h3>E. There is no solution</h3><h3 /><h3>Step By Step Explanation:</h3><h3>First, you have to simplify both sides of the equation.</h3><h3>You would end up with 4x - 2 = 4x - 9</h3><h3>Next, you have to subtract 4x from both sides.</h3><h3>Now you would have -2 = -9</h3><h3>And finally, you have to add 2 to both sides.</h3><h3>Now you have 0 = -7</h3><h3>So the answer is E, There is no solution</h3><h3>I hope this helped!</h3>

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If y varies inversely as x, and y = 23 when x<br> 8, find y when x 4.

Virty [35]

Answer:

y = 46

Step-by-step explanation:

Given y varies inversely as x then the equation relating them is

y = $\frac{k}{x}$ ← k is the constant of variation

To find k use the condition y = 23 when x = 8 , then

23 = $\frac{k}{8}$ ( multiply both sides by 8 )

184 = k

y = $\frac{184}{x}$ ← equation of variation

When x = 4 , then

y = $\frac{184}{4}$ = 46

7 0

3 years ago

(30 POINTS AND BRAINLIEST) Show all work to solve 3x^2 + 5x − 2 = 0.

Dahasolnce [82]

Answer:

The answer to your question is: (x + 2)(3x - 1) = 0

x1 = -2

x2 = 1/3

Step-by-step explanation:

3x² + 5x − 2 = 0

Multiply 3 x -2 = -6

Find two numbers that added = +5 and multiply -6

These numbers are +6 and -1

Then:

3x² + 6x -1x − 2 = 0

Factorize 3x (x + 2) - 1(x + 2) = 0

Factorize again (x + 2)(3x - 1) = 0

Finally

x + 2 = 0 3x - 1 = 0

x = -2 x = 1/3

5 0

3 years ago

The length of the minute hand of a clock is

svetlana [45]

Answer:

Therefore,

The length of the path traced by the outer tip of the minute hand in one hour, is 88 inches.

Step-by-step explanation:

Given:

The length of the minute hand of a clock is,

Which is as Radius,

Therefore,

Radius = r = length of the minute hand = 14\ inches

pi = 22/7

To Find:

The length of the path traced by the outer tip of the minute hand in one hour, will be One full rotation, that is

Circumference, C = ?

Solution:

Circumference, is given by,

$Circumference = 2\pi r$

$Circumference = 2\times \dfrac{22}{7}\times 14=88\ inches$

Therefore,

The length of the path traced by the outer tip of the minute hand in one hour, is 88 inches.

7 0

3 years ago

The price of a pedicure decreases by 4.2% from £36 on promotion.

maria [59]

A) 95.8 % of £36 will be the new price

B) The answer to part A as a decimal is £34.488

C) The new price is £34.488

<h3><u>Solution:</u></h3>

Given that the price of a pedicure decreases by 4.2% from £36 on promotion

<em><u>A) What percentage of £36 will the new price be ?</u></em>

Given that £36 is decreased by 4.2 %

New price = 36 – 4.2% of 36

$\begin{array}{l}{\text { New price }=36-\frac{4.2}{100} \times 36} \\\\ {\text { New price }=36-1.512} \\\\ {\text { New price }=34.488}\end{array}$

Now we have to find what percentage of £36 will the new price be

x % of 36 = 34.488

$\frac{x}{100} \times 36 = 34.488\\\\x = \frac{34.488 \times 100}{36} = 95.8 \%$

<em><u>B) Write your answer to part a as a decimal.</u></em>

Now, we have to find the new price in decimal form.

$\begin{array}{l}{95.8 \% \times 36 \rightarrow \frac{95.8}{100} \times 36} \\\\ {\rightarrow 0.958 \times 36=34.488}\end{array}$

<em><u>C) Work out the new price.</u></em>

As we calculated, the new price is £34.488

6 0

3 years ago

Y=-3/2x+15 ........................

lorasvet [3.4K]

What is the question? This is just a function.

8 0

3 years ago