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lozanna [386]
3 years ago
7

Solve 2(b − 3) ≥ 3(3 − b) and describe the graph of the solution. Show all your work.

Mathematics
1 answer:
solong [7]3 years ago
4 0

Answer:

\large\boxed{b\geq3\to b\in[3,\ \infty)}

Step-by-step explanation:

2(b-3)\geq3(3-b)\qquad\text{use the distributive property:}\ a(b+c)=ab+ac\\\\(2)(b)+(2)(-3)\geq(3)(3)+(3)(-b)\\\\2b-6\geq9-3b\qquad\text{add 6 to both sides}\\\\2b-6+6\geq9+6-3b\\\\2b\geq15-3b\qquad\text{add}\ 3b\ \text{to both sides}\\\\2b+3b\geq15-3b+3b\\\\5b\geq15\qquad\text{divide both sides by 5}\\\\\dfrac{5b}{5}\geq\dfrac{15}{5}\\\\b\geq3

,\ \geq-\text{line to the right}\\-\text{o}\text{pen circle}\\\leq,\ \geq-\text{closed circle}

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6. Geographic Trends Janice has been offered
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The annual income of Janice when she accepts new job in Chicago be after paying rent, transportation, and food is, $409190.

<h3>What is the total cost?</h3>

Total cost or the final cost is the summation of all the cost spend while buying any good or taking any service.

Janice has been offered a job in Chicago where her current salary of $30,000 will increase by 20 percent. Thus, his new salary is,

S=\dfrac{100+20}{100}\times30000\\S=36000

He gets 6000 thousand extra after increment. Her annual income is,

S=36000\times12\\S=432000

Before accepting the position, Janice wants to understand her potential cost of living.

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Thus, the annual income of Janice when she accepts new job in Chicago be after paying rent, transportation, and food is, $409190.

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8 0
2 years ago
11y - |x|; if x = -10 and y = 2
bonufazy [111]

Answer:

- 8

Step-by-step explanation:

x = - 10

y = 2

I x I

= I - 10 I

= 10

y - I x I

= 2 - 10

= - 8

7 0
3 years ago
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Answer:

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Step-by-step explanation:

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A polynomial of degree 1 is a linear polynomial.

A polynomial of degree 2 is a quadratic polynomial.

A polynomial of degree 3 is a cubic polynomial.

In this case the exponent with the maximum value in the polynomial is 3.

Hence the degree of the polynomial h(x) is 3.

Hence the given polynomial is a cubic polynomial.

7 0
3 years ago
What is the unit rate for 644.8 ft in 31 s?<br><br><br> Enter your answer, as a decimal, in the box
pychu [463]
That would be 644.8 / 31 = 20.8 feet / second
7 0
3 years ago
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