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3 years ago

Write the solution to the given inequality in interval notation.

Mathematics

2 answers:

wlad13 [49]3 years ago

7 0

<h2>Answer:</h2>

The solution to the given inequality in interval notation is:

[-3,∞)

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

The solution of the given inequality is the set of all the possible x values.

By looking at the graph which is a number line such that the shaded region is to the right of -3 and the arrow of solution goes to infinity and also there is a closed circle at -3.

This means that -3 is included in the solution set.

This means that the solution is all the real values which are greater than or equal to -3.

i.e. The solution is: x ≥ -3

i.e. [-3,∞)

brilliants [131]3 years ago

6 0

[-3, infinity)
It is greater than or equal to -3 and goes on to infinity

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6. Salary Raise. A Union negotiates for a cost-of-living raise of 3.4%. What is the raise for a union

Marizza181 [45]

Answer:

<h2>New salary= $43,800.24</h2>

Step-by-step explanation:

Step one:

Given data

the initial salary is = $42,360

the raise in percentage is =3.4%

To know the raise we need to calculate what the amount of 3.4% of $42,360 is

Step two:

=(3.4/100)*42,360

=0.034*42360

=1440.24

therefore thr raise is $1440.24

Step three:

the new salary is given as

new salary= old salary+ raise

New salary= $42,360+$1440.24

New salary= $43,800.24

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3 years ago

Let m = 6x +5.<br> Which equation is equivalent to (6x + 5)^2 – 10 = -18x – 15 in terms of m?

aev [14]

Answer: m² + 3m - 10 = 0

Step-by-step explanation:

From the expression, considering

6x + 5 = m

The original expression

( 6x + 5 )² - 10 = -18 - 15

Factorize the right hand expression,

-18 - 15 = -3( 6x - 15 )

Since m = 6x + 5 , we now substitute for m in that expression

m² - 10 = -3m

Now re arrange the equation in the form,

ax² - bx + c = 0

Now back to the equation,

m² + 3m - 10 = 0,

So the equivalent equation will be

m² + 3m - 10 = 0

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3 years ago

Becky accepted a job as an inventory manager after being offered an $800 signing bonus. If she makes $23 an hour, which equation

dusya [7]

Y = 23x + 800 (Apex)

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3 years ago

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