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3 years ago

Solve and graph -11 + 4u < 1

Mathematics

1 answer:

valkas [14]3 years ago

3 0

Hi there! the answer is...

u < 3

i've attached the graph.

hope this helped! have a good one!

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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.

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

$3x + 5y - 4z = 6000$

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,

$2x - 3y + z = 0$

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

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

Solving the system of equations:

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

2 years ago

Kara incorrectly factored 32x2 + 48x + 18 as shown. Describe her error and correctly factor the expression. 32x2 + 48x + 18 = 2(

aev [14]

Answer:

Kara incorrectly factored 2(16x^2 + 24x + 9) she did not find the correct factors when she factored out. The correct factored expression would be 2(4x+3)^2

Step-by-step explanation:

32x^2 + 48x + 18

2(16x^2 + 24x + 9)

2(16x^2 + 12x) (12x + 9)

2 4x(4x + 3) 3(4x + 3)

2(4x + 3)(4x + 3)

2(4x + 3)^2

3 0

3 years ago

How many sides does a regular polygon have if each exterior angle measures 20?

Masteriza [31]

Answer:

18 sides

Step-by-step explanation:

Each exterior angle of a regular polygon = 20 deg. So the polygon has 360/20 = 18 sides

7 0

3 years ago

A discus is thrown from a height of 3 feet with an initial velocity of 55 ft/s at an angle of 44° with the horizontal. How long

nasty-shy [4]

Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions.
Yes, the 3 feet are important.
You can consider the datum (y=0) at 3' from the ground, and the ground is therefore at -3 feet. 

The vertical initial velocity, vy, is u*sin(θ), so it gives 
vy=55sin(44°)=38.21 approx. 

The (vertical) distance travelled is given by: 
S=vy*t-(1/2)gt² 
where 
S=-3 (ground) 
vy=55sin(44°), and 
g=32.2 ft/s² 
Solve for t. 
I get -0.08 and 2.45 s.

6 0

3 years ago

Can someone help me with N please

oksian1 [2.3K]

Let's assume x Mo's number.

11+x/3=-1
==>x/3=-1-11
==>x/3=-12
==>x=-12*3
==>x=-36

7 0

3 years ago