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VARVARA [1.3K]
3 years ago
14

Which is the graph of linear inequality 2x-3y<12 ?

Mathematics
2 answers:
LUCKY_DIMON [66]3 years ago
6 0

Answer:

Option C

Step-by-step explanation:

2x-3y<12

First we replace < symbol with = sign

2x-3y= 12

Solve for y

subtract 2x from both sides

-3y= -2x+12

Divide the whole equation by -3

y= \frac{2}{3}x - 4

Now make a table , assume some random number for x and find out y

x            y

-3         -6

0          -4

3           -2

Point to make a line are (-3,-6)  (0,-4)  (3,-2)

WE have < than symbol so we use dotted line for graphing

Now shading

Use test point (0,0)

2x-3y<12

2(0)-3(0)<12

0<12 is True, so we shade the region that contains (0,0)

krok68 [10]3 years ago
5 0
C..............................
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How to reduce a ratio to lowest terms
aleksley [76]

It is usual to represent ratios in their simplest form so that we are not operating with large numbers. Reducing ratios to their simplest form is directly linked to equivalent fractions.

For example: On a farm there are 4 Bulls and 200 Cows. Write this as a ratio in its simplest form.

Bulls <span>: </span>Cows

4 <span>: </span>200

If we halve the number of bulls then we must halve the number of cows so that the relationship between the bulls and cows stays constant. This gives us:

Bulls <span>: </span>Cows

2 <span>: </span>100

Halving again gives us

1 <span>: </span>50

So the ratio of Bulls to Cows equals 1 : 50. The ratio is now represented in its simplest form.

An example where we have 3 quantities.

On the farm there are 24 ducks, 36 geese and 48 hens.

Ratio of ducks <span>: </span>geese <span>: </span>hens

24 <span>: </span>36 <span>: </span>48

Dividing each quantity by 12 gives us

2 <span>: </span>3 : 4

So the ratio of ducks to geese to hens equals 2 : 3 : 4 which is the simplest form since we can find no further common factor.

7 0
3 years ago
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Eduardwww [97]
46.56923077 pizzas. Use a calculator dummy.
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Answer quickly plz im gonna be in trouble<br> :(
Montano1993 [528]

Answer:

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Step-by-step explanation:

7 0
2 years ago
Question is shown below.
Andrei [34K]

ANSWER

D. 4 minutes 40 seconds

EXPLANATION

The given data set showing the number of seconds of each song the playlist is:

283,204,198,229,173,230,168,236,215,204

Let the length of the 11th song be x.

Because he wants the mean to be 3 minutes 40 seconds, which is equal to 220 seconds, we write and solve the following equation for x.

\frac{283 + 204 + 198 + 229 + 173 + 230 + 168 + 236 + 215 + 204 + x}{11}  = 220

\frac{2140 + x}{11}  = 220

2140 + x = 2420

x = 2420 - 2140

x = 280

We convert 280 seconds to minutes.

\frac{280}{60}  = 4 \frac{2}{3}  = 4mins : 40 sec

The correct choice is D

3 0
3 years ago
1. What are the coordinates of the vertex of the graph? Is it a maximum or minimum?
inn [45]

Answer:

Hi there!

The correct answer is: (0,1) maximum

Step-by-step explanation:

vertex: the point where the parabola crosses its axis of symmetry.

when the graph is concave down, maximum

when the graph is concave up, minimum

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