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3 years ago

Solve the inequality 6x − 8 > 4x + 26

Mathematics

2 answers:

tino4ka555 [31]3 years ago

4 0

Hi.

Answer:

$\boxed{x>17}\checkmark$

The answer should have positive sign but not negative.

Step-by-step explanation:

First, you add by 8 from both sides.

$6x-8+8>4x+26+8$

Then, simplify.

$6x>4x+34$

Next, you do is subtract by 4x from both sides.

$6x-4x>4x+34-4x$

Simplify.

$2x>34$

Therefore, you divide by 2 from both sides.

$\frac{2x}{2}>\frac{34}{2}$

Finally, you solve and simplify.

$34/2=17$

$x=17\checkmark$

X=17 is the correct answer.

Hope this helps you!

Have a nice day! :)

ohaa [14]3 years ago

4 0

Answer:

The solution for the inequality is x>17

Step-by-step explanation:

Consider the provided inequality.

$6x - 8 > 4x + 26$

Subtract 4x to both the sides.

$6x -4x- 8 > 4x-4x + 26$

$2x- 8 > 26$

Add 8 to the both sides.

$2x- 8+8 > 26+8$

$2x > 34$

Divide both the sides by 2.

$x > 17$

Hence, the solution for the inequality is x>17

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Find 5 consecutive whole numbers if it is known that the sum of the squares of the first 3 numbers is equal to the sum of the sq

lora16 [44]

Let the first number of the five we are looking for equal n.

Because the numbers are consecutive, the next four can be expressed as (n+1), (n+2), (n+3) and (n+4).

Our series of 5 numbers is therefore n,(n+1),(n+2),(n+3),(n+4).

We are told the sum of the squares of the first 3 is equal to the sum of the squares of the last 2 therefore:
n² + (n+1)² + (n+2)² = (n+3)² + (n+4)²

expand all the brackets to give
n² + n² + 2n + 1 + n² + 4n + 4 = n² + 6n + 9 + n² + 8n + 16
3n²+6n+5 = 2n²+14n+25
n²-8n-20=0

factorising this gives us
(n+2)(n-10) = 0 so the solutions are n=10 and n=-2

That means that n,(n+1),(n+2),(n+3),(n+4) could be [-2, -1, 0, 1 and 2] or [10, 11, 12, 13 and 14].

Since the question asks for whole numbers, and negative numbers are not classed as whole numbers, the numbers we want must be 10, 11, 12, 13 and 14.

You can check this on a calculator by doing 10² + 11² + 12² (=365) and 13² + 14² (=365).

3 0

3 years ago

What is 4x(5x-2)=20x-2

Zanzabum

Answer: x = 1.32 and x= 0.076

Step-by-step explanation:

4x(5x-2) = 20x-2

20x^2-8x = 20x-2

20x^2-8x-20x+2=0

20x^2-28x+2=0

Using quadratic equation

x = (-b +or- √(b^2-4ac))/2a

a =20, b=28, c= 2

Substitute into the equation

x= (7+√39)/10. = 1.32

x = (7-√39)/10 = 0.076

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3 years ago

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Reika [66]

Answer:

The 90th percentile of the distribution is 6.512 ml.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

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