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3 years ago

Solve the compound inequality: 3x ≤ 18 AND x + 4 > 2

Mathematics

2 answers:

ehidna [41]3 years ago

5 0

3x ≤ 18

x ≤ 18/3

x≤ 6

x + 4 > 2

x > 2 -4

x > - 2

Then - 2 < x ≤ 6

Answer: <=6

dedylja [7]3 years ago

4 0

There must be a mistake in your question:
If 3 x ≤ 9, then : x ≤ 3 and :
x + 4 > 2
x > 2 - 4
x > - 2
Answer: D)
Solution set : - 2 < x ≤ 3

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Which equation shows a valid step in solving /2x-6+2x+6=0?

AfilCa [17]

An equation which shows a valid step that can be used to solve the given mathematical equation is $(\sqrt[3]{2x - 6})^3 = (-\sqrt[3]{2x + 6})^3$

<h3>What is an equation?</h3>

An equation simply refers to a mathematical expression that can be used to show the relationship existing between two (2) or more numerical quantities.

In this exercise, you're required to show a valid step which can be used to solve the given mathematical equation. Since both equations are having a cube root, the first step is to take the cube of both sides.

Take the cube of both sides, we have:

$\sqrt[3]{2x - 6} + \sqrt[3]{2x + 6} = 0\\\\(\sqrt[3]{2x - 6})^3 + (\sqrt[3]{2x + 6})^3 = 0^3\\\\(\sqrt[3]{2x - 6})^3 = (-\sqrt[3]{2x + 6})^3$

Read more on equations here: brainly.com/question/13170908

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2 years ago

The mean and standard deviation of a normal distribution are 150 and 12 respectively. What percentage of values lie between:

Semenov [28]

Answer:

Step-by-step explanation:

Use a calculator with built-in statistical functions. The function applying here is normcdf(, the "cumulative density function."

(a) The percentage of values lying between 138 and 162 is

norm(138,162, 150, 12), which comes out to 0.683, or 68.3%.

(b) Find norm(126, 174, 150,12): 0.945, or 94.5%

(d) Find norm(162, 174,150,12): 0.136, or 13.6%

8 0

3 years ago

Read 2 more answers

Will mark brainliest, thank, and rate to only chrislaurencelle

storchak [24]

Answer:

Option 3

Step-by-step explanation:

You are multiplying the length by three so it would be 3 times the length

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3 years ago

Solve the system x+3=22 2x-y=2

steposvetlana [31]

Hello from MrBillDoesMath!

Answer:

x = 19, y = 36

Discussion:

x + 3 = 22 (*)

2x - y = 2 (**)

Subtract 3 from both sides of (*)

x + 3 -3 = 22 = 3 = 19 =>

x = 19

Substitute x= 19 in (**)

2(19) - y = 2 =>

38 - y = 2 => (add y to both sides)

38 -y + y = 2 + y =>

38 = 2 + y => (subtract 2 from both sides)

38 -2 = 2 -2 + y =>

36 = y

Regards,

MrB

P.S. I'll be on vacation from Friday, Dec 22 to Jan 2, 2019. Have a Great New Year!

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3 years ago

I need some help with this calculus question

Over [174]

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This tangent passes through the point (0, 5), so its equation is

$y-5=5(x-0)\implies y=5x+5$

The normal line passes through the same point, but is perpendicular to the tangent line, so its slope is the negative reciprocal of the slope of the tangent. So the equation for the normal line is

$y-5=-\dfrac15(x-0)\implies y=5-\dfrac x5$

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3 years ago