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4 years ago

What is the solution to:

Mathematics

2 answers:

weeeeeb [17]4 years ago

8 0

Answer:A

Step-by-step explanation:Interval Notation [12, infinity sign]

Ahat [919]4 years ago

4 0

Answer:

$x\geq 12$

Step-by-step explanation:

$-\frac{3}{4} x+2\leq-7$

$-\frac{3}{4}x\leq -7-2$

$-\frac{3}{4} x\leq -9$

$-3x\leq -9*4$

$-3x\leq -36$

$-x\geq -\frac{36}{3}$

$x\geq 12$

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Can anyone help me with this please :( . Don’t answer if you do not know

suter [353]

Answer:

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3 years ago

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Carol's book collection contains 12 mysteries, 8 biographies, and 5 plays.

Ne4ueva [31]

Answer:

8:25

Step-by-step explanation:

Theres 8 biography books and 25 books in total. 8:25

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3 years ago

What is the value marginal product of labor if p = $10, mpl = $25, and apl = 40? multiple choice $400 $10,000 $250 $1,000

ioda

If P=$10, MPL= $25 and APL=$ 40, then the value of marginal product of labor is $250

The marginal product of labor (MPL) is the change in output that results from employing an added unit of labor.

The average product of labor (APL) is the total product of labor divided by the number of units of labor employed.

Here,

P= $10

The marginal product of labor (MPL)= $25

The average product of labor (APL)= $40

The value of marginal product of labor= P × The marginal product of labor (MPL)

The value of marginal product of labor= 10×25=$250

Hence, If P=$10, MPL= $25 and APL=$ 40, then the value of marginal product of labor is $250

Learn more about the value of marginal product of labor here

brainly.com/question/15072173

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2 years ago

The Fiedler family has up to $130,000 to invest. They decide that they want to have at least $40,000 invested in stable bonds yi

gogolik [260]

Answer:

They should invest $40,000 in stable bonds and $60,000 in volatile bonds. Their maximum income is $129,900

Step-by-step explanation:

Let us assume that, they invested x in stable bonds and y in volatile bonds.

The Fiedler family has up to $130,000 to invest.

$x+y\le130000$

They decide that they want to have at least $40,000 invested in stable bonds.

$x\ge40000$

They decide that they want no more than $60,000 should be invested in more volatile bonds.

$y\le60000$

The amount in the stable bond should not exceed the amount in the more volatile bond, so

$x\le y$

As we have to find maximum income from stable bonds yielding 5.5% and volatile bonds yielding 11%, so we have to maximize $1.055x+1.11y$

Here,

Max $1.055x+1.11y$

$x+y\le130000$

$x\le y$

$x\ge40000$

$y\le60000$

Using LPP, plotting the inequalities on graph, we get the feasible region as shown in the attachment.

The solutions to the system are,

$(40000,60000),(40000,40000),(60000,60000)$

Now putting all the solutions in the objective function to find the maximize the function.

$f(40000,60000)=1.055(40000)+1.11(60000)=\$108800$

$f(40000,40000)=1.055(40000)+1.11(40000)=\$86600$

$f(40000,60000)=1.055(40000)+1.11(60000)=\$129900$

8 0

3 years ago

What is the discontinuity of (x^2 + 3x - 4)/(x^2 + x - 12)?

zvonat [6]

The discontinuity occurs when the denominator is equal to zero, as it has "infinite" slope, and thus is not a real value or point.

x^2+x-12

x^2+4x-3x-12

x(x+4)-3(x+4)

(x-3)(x+4)

So discontinuities occur when x=-4 and x=3

4 0

3 years ago

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