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seropon [69]
2 years ago
5

Solve the following inequality 4x+15≥x+6

Mathematics
2 answers:
WINSTONCH [101]2 years ago
8 0

Answer:

  • \boxed{\sf{x\geq -3}}

Step-by-step explanation:

The following inequality can be solved by separating the term x from one side.

4x+15≥x+6

<u>First, subtract by 15 from both sides.</u>

4x+15-15≥x+6-15

<u>Solve.</u>

4x≥x-9

<u>Then, you subtract by x from both sides.</u>

4x-x≥x-9-x

<u>Solve</u>.

3x≥-9

<u>Divide by 3 from both sides.</u>

3x/3≥-9/3

<u>Solve.</u>

<u>Divide the numbers from left to right.</u>

-9/3=-3

\Longrightarrow: \boxed{\sf{x\geq -3}}

  • <u>Therefore, the correct answer is x≥-3.</u>

<u></u>

I hope this helps, let me know if you have any questions.

Mariana [72]2 years ago
4 0

Answer:

x ≥ -3

Step-by-step explanation:

To determine the solution to the inequality, we need to isolate the variable and its coefficient on one side of the equation. Furthermore, isolate the variable by dividing the coefficient by both sides of the equation. The inequality obtained after doing these steps is the solution to the inequality.

<u>Given inequality:</u>

  • 4x + 15 ≥ x + 6

As said above, let's isolate "x" and it's coefficient on one side of the equation. This can be done by subtracting "x + 15" to both sides of the equation.

  • ⇒ 4x + 15 - (x + 15) ≥ x + 6 - (x + 15)
  • ⇒ 4x + 15 - x - 15 ≥ x + 6 - x - 15
  • ⇒ 3x ≥ -9

As said above, let's further isolate "x" by dividing the coefficient of "x" to both sides of the equation.

  • ⇒ 3x/3 ≥ -9/3
  • ⇒ x ≥ -3

Therefore, the solution is x ≥ -3.

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<h2>Answer:</h2>

$52.63

<h2>Step-by-step explanation:</h2>

To find 20% of $43.86 we multiply $43.86 by 0.2

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Now add $43.86 and $8.772 to find out how much the family paid altogether.

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In money the smallest place value is cents so we have to round to the hundredths place.

Doing this we get the grand answer of:

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2 years ago
The first four terms of an arithmetic sequence are -11,-5,1,7. what is the equation for an
mr_godi [17]

Answer:

y = 6x - 11

Step-by-step explanation:

An arithmetic sequence is a linear function. This means it steadily increases or decreases through addition/subtraction by a constant amount. Here the sequence grows by adding 6 each time.

-11 + 6 = -5

-5 + 6 = 1

1 + 6 = 7

etc....

Since this is linear, its equation has the form y = mx + b where m is the slope and b is the y-intercept. The slope is m = 6 and b = -11.

y = 6x - 11

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Which of the following ratios is equivalent to the
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Question: The meaning of four consecutive even numbers is 15.
nasty-shy [4]
First, a bit of housekeeping:

<span>The meaning of four consecutive even numbers is 15.  Wouldn't that be "mean," not meaning?  Very different concepts!

The greatest of these numbers is _______ a^1

"a^1" means "a to the first power.  There are no powers in this problem statement.  Perhaps you meant just "a" or "a_1" or a(1).


The least of these numbers is ______a^2.
No powers in this problem statement.  Perhaps you meant a_2 or a(2)


In this problem you have four numbers.  All are even, and there's a spacing of 2 units between each pair of numbers (consecutive even).

The mean, or arithmetic average, of these numbers is (a+b+c+d) / 4, where a, b, c and d represent the four consecutive even numbers.  Here this mean is 15.  The mean is most likely positioned between b anc c.


So here's what we have:  a+b+c+d
                                         ------------- = 15
                                                 4

This is equivalent to a+b+c+d = 60.

Since the numbers a, b, c and d are consecutive even integers, let's try this:

a + (a+2) + (a+4) + (a+6) = 60.    Then 4a+2+4+6=60, or 4a = 48, or a=12.

Then a=12, b=14, c=16 and d=18.  Note how (12+14+16+18) / 4 = 15, which is the given mean.

We could also type, "a(1)=12, a(2)=14, a(3) = 16, and a(4) = 18.


</span>
8 0
3 years ago
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