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VLD [36.1K]
3 years ago
11

NEED HELPPPPPPP!!!!!!! PLEASE!!!!!!!!

Mathematics
1 answer:
vagabundo [1.1K]3 years ago
4 0

Firstly, simplife the function -x^3-x^2+4x+4 in the following way:

-x^3-x^2+4x+4=-(x^3+x^2)+4(x+1)=-x^2(x+1)+4(x+1)=(x+1)(4-x^2)=(x+1)(2-x)(2+x)=-(x+2)(x+1)(x-2).

There are three x-intercepts: x=-1; x=2 and x=-2 (therefore, options A and D are incorrect).

Since before brackets is sign "-", you should state that graph starts down on the left (you can check this substituting smaller negative number than -2 into function expression. For example, if x=-10, then f(-10)=-(-10+2)(-10+1)(-10-2)=-(-8)(-9)(-12)>0) and goes up on the right (you can check this substituting greater positive number than 2 into function expression. For example, if x=10, then f(-10)=-(10+2)(10+1)(10-2)=-(12)(11)(8)<0).

Answer: correct choice is B.

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Answer:

Scheduled Variance = $850,000.00

Schedule Performance Index = 1.05

Cost Performance Index = 1.11

Step-by-step explanation:

Note: See the attached excel file for the calculations of Total Actual Cost to Date, Budgeted Cost of Work Scheduled (BCWS), and Budgeted Cost of Work Performed (BCWP).

From the attached excel file, we have:

Total Actual Cost to Date = $15,300,000

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Total BCWP = $17,020,000

Therefore, we have:

Scheduled Variance = Total BCWP - Total BCWS = $17,020,000 - $16,170,000 = $850,000.00

Schedule Performance Index = Total BCWP / Total BCWS = $17,020,000 / $16,170,000 = 1.05

Cost Variance = Total BCWP - Total actual cost to date = $17,020,000 - $15,300,000 = $1,720,000

Cost Performance Index = Total BCWP / Total actual cost to date = $17,020,000 / $15,300,000 = 1.11

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7 0
3 years ago
If y varies directly as x and y-21 when x<br> is 7, find x when y = -5.
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Step-by-step explanation:

Since, y varies directly as x:

\therefore \: y = kx..(1) \\ (k = constant \: of \: proportionality) \\ at \: y = 21 \: and \: x = 7 \\ 21 = k \times 7 \\ k =  \frac{21}{7}  = 3 \\ plugging \: k = 3 \: in \: equation \: (1) \\ y = 3x..(2) \\ plugging \:  \: y =  - 5  \: in \: (2)\\  - 5 = 3x \\ x =  \frac{ - 5}{3}  \\   \:  \:  \:  \:  \:  \: \huge \red{ \boxed{x =  -  \frac{5}{3} }}

6 0
2 years ago
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Answer:

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Step-by-step explanation:

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3 years ago
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Mademuasel [1]

Given:

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To find:

The graph of the given system of inequalities.

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y>-\dfrac{1}{3}x+1

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Table of values for the given equations is:

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   3                             0                              3

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Similarly, plot (0,-3) and (3,3) and connect them by a straight line to get the graph of y=2x-3.

The signs of both inequalities are ">". So, the boundary line is a dotted line and the shaded region or each inequality lie above the boundary line.

Therefore, the graph of the given system of inequalities is shown below.

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Yes because in Mrs. Benson‘s class there are 20 students and in Mrs Tracy’s class there are only 18
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