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Artist 52 [7]
4 years ago
13

Use the drop-down menus to describe the key aspects of the function f(x) = -x2 – 2x – 1.

Mathematics
2 answers:
Gre4nikov [31]4 years ago
7 0

Answer:

The vertex is the = maximum value.

The function is increasing = when x < –1.

The function is decreasing = when x > –1.

The domain of the function is = all real numbers

The range of the function is = all numbers less than or equal to 0.

sdas [7]4 years ago
6 0

Answer:

1st : Maximum Value

2nd: When x<-1

3rd : x>-1

4th: All real Numbers

5th : All numbers less than or equal to 0

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The prices of commodities X,Y,Z are respectively x, y, z, rupees per unit. Mr. A purchases 4 units of Z and sells 3 units of X a
liubo4ka [24]

Answer:

(x,y,z)=(1477, 1464, 1437)

Step-by-step explanation:

Consider the selling of the units positive earning and the purchasing of the units negative earning.

<h3>Case-1:</h3>
  • Mr. A purchases 4 units of Z and sells 3 units of X and 5 units of Y
  • Mr.A earns Rs6000

So, the equation would be

3x  +  5y - 4z = 6000

<h3>Case-2:</h3>
  • Mr. B purchases 3 units of Y and sells 2 units of X and 1 units of Z
  • Mr B neither lose nor gain meaning he has made 0₹

hence,

2x   - 3y  +  z = 0

<h3>Case-3:</h3>
  • Mr. C purchases 1 units of X and sells 4 units of Y and 6 units of Z
  • Mr.C earns 13000₹

therefore,

- x    + 4y  +  6z = 13000

Thus our system of equations is

\begin{cases}3x  +  5y - 4z = 6000\\2x   - 3y  +  z = 0\\ - x    + 4y  +  6z = 13000\end{cases}

<u>Solving </u><u>the </u><u>system </u><u>of </u><u>equations</u><u>:</u>

we will consider elimination method to solve the system of equations. To do so ,separate the equation in two parts which yields:

\begin{cases}3x  +  5y - 4z = 6000\\2x   - 3y  +  z = 0\end{cases}\\\begin{cases}2x   - 3y  +  z = 0\\ - x    + 4y  +  6z = 13000\end{cases}

Now solve the equation accordingly:

\implies\begin{cases}11x-7y=6000\\-13x+22y=13000\end{cases}

Solving the equation for x and y yields:

\implies\begin{cases}x= \dfrac{223000}{151}\\\\y= \dfrac{221000}{151}\end{cases}

plug in the value of x and y into 2x - 3y + z = 0 and simplify to get z. hence,

\implies z= \dfrac{217000}{151}

Therefore,the prices of commodities X,Y,Z are respectively approximately 1477, 1464, 1437

6 0
3 years ago
Can someone pls help :(
aleksandrvk [35]

Answer:

srry man i suck at civics, but i think it is B?

Step-by-step explanation:

7 0
3 years ago
Divided the following rational expressions<br> t^3-t^2-2t/t-5 divided by t^2-t-2
butalik [34]

t³-t²-2t/t -5 )/(t²-t-2)

(t^4-t^3-7t)/t^3-t^2-2t)

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I hope that's help !

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4 years ago
Alfred made 20 goals in 3.5 minutes.what is alfreds unit rate per goal
Veseljchak [2.6K]
I belive the unit rate per goal is 5.7
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Trevor is training for a race he swims 1/2 lap in 4/5 minute at that race how many minutes does it take for Trevor to swim each
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8/5 minutes. Is the answer
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