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Vika [28.1K]
2 years ago
8

I need help with this problem

Mathematics
1 answer:
MrMuchimi2 years ago
3 0

Answer:

sorry i can't see it properly I am very sorry

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Which graph represents the solution set of the system of inequalities? {y&lt;−3x−2y<br> y≤x−2
irina1246 [14]

Answer:

Option 1

Step-by-step explanation:

In each inequality we have the equation of a line.

The first step in solving this problem is to identify each line in the figures.

To do this, we willient your cut points.

y = x-2

We do y = 0

0 = x-2

x = 2. This line cuts the x-axis at x = 2.

Now we do x = 0

y = -2.

This line cuts the y-axis in y = -2.

Now we can identify this line in the figure.

The inequality is:

y≤x - 2

Then the region that represents this inequality are all the points below the line y = x-2 and also those that belong to the line.

Try for example the point (0, -4) that is below this line.

-4≤0-2

-4≤-2. The inequality is met.

We do the same for the other line:

y<-3x - 2

y = -3x-2.

The cut points are:

2 = -3x

x = -2 / 3

y = -2

Locate in the graphs the line that meets these characteristics.

The region understood by this inequality are all points below the line

y = -3x-2 and which, in turn, are below the line y = x-2.

Once again, the point (-4.0) complies with both inequalities.

Identify these characteristics in the options, and you will see that the correct option is the first

4 0
3 years ago
Read 2 more answers
If T is the midpoint of SU find the values of x, ST and SU.
Nitella [24]

Answer:  The required values are

x = 12 units, ST = 60 units and SU = 120 units.

Step-by-step explanation:  Given that T is the midpoint of SU, where

ST = 5x  and  TU = 3x + 24.

We are to find the values of x, ST and SU.

Since T is the midpoint of SU, so we get

ST=TU\\\\\Rightarrow 5x=3x+24\\\\\Rightarrow 5x-3x=24\\\\\Rightarrow 2x=24\\\\\Rightarrow x=\dfrac{24}{2}\\\\\Rightarrow x=12.

So, the value of x is 12.

Therefore,

ST=5\times12=60

and

SU=5x+3x+24=8x+24=8\times12+24=96+24=120.

Thus, the required values are

x = 12 units, ST = 60 units and SU = 120 units.

8 0
3 years ago
Read 2 more answers
Find the area and the circumference of the circle. Round your answers to the nearest hundredth.
Alik [6]

Answer:

area = 200.96  \: {units}^{2}  \\ circumfrence = 50.24 \: units

Step-by-step explanation:

The formula to find the area and circumference of a circle is:

area = \pi {r}^{2}  \\ circumfrence = 2\pi \: r

<em>*</em><em>no</em><em>te that pi is 3.14*</em><em> </em>Therefore the area is:

formula = \pi {r}^{2}  \\ 3.14 \times  {8}^{2}  =  \\ 3.14 \times 64 = 200.96

Therefore the circumference is:

formula = \: 2\pi \: r \\ (2)(3.14)(8) =  \\ 3.14 \times 16 = 50.24

3 0
2 years ago
I’m a bit confused here
alekssr [168]
Y= -x and y= -1/x
Are one-one
y= -x, inverse x= -y
Identify function
hence, inverse of y= -x in y= -x
similarly in the case of y= -1/x
so option (D) I and II, only
7 0
2 years ago
I need an equation for this problem: A small golf club manufacturer is concerned about their monthly costs. The shop has fixed c
Eduardwww [97]
100 = number of sets of clubs manufactured per month
S = sell-price for a set of clubs

Expenses per month = 23,250 + 145(100)  = 37,750

Revenue per month = 100 S

Break-even when Expenses = Revenue

<u>100 S = 37,750</u>

One question:  How did you solve it without an equation ?
6 0
3 years ago
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