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Alona [7]
3 years ago
12

1. graph the system of inequalities -2x+3y≥ -12 x+y< 3

Mathematics
2 answers:
jolli1 [7]3 years ago
7 0

the answer is y> -2/3+2x/3

Alik [6]3 years ago
6 0

First, convert the equations into slope intercept form.

y=mx+b

Where m is the slope and b is the y intercept.

First equation :

-2x+3y\geq -12 \\ 3y\geq-2x-12\\y\geq-\frac{2}{3}x-4

Second equation :

x+y

So now we graph

y and y\geq-\frac{2}{3}x-4

Since y is less than and not equal to, we shade below the line and the line is dotted.

Since y\geq-\frac{2}{3}x-4 is greater than and equal to, we shade above the line and the line is solid.

And the solutions are anything in the double shaded region.

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Evaluate 30 x 8 step by step
Musya8 [376]

Answer:

30x8

8x0=0

8x3=24

30x8=240

Step-by-step explanation:

8 0
2 years ago
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On the first day of baseball tournament Jessie scored 2 runs. On the second day, 4 runs. On the third day, 6 runs. If this patte
Allushta [10]

Answer:

16 runs.

Step-by-step explanation:

We have been given that on the first day of baseball tournament Jessie scored 2 runs. On the second day, 4 runs. On the third day, 6 runs.

We can see that runs scored by Jessie form an arithmetic sequence, where each successive term is 2 more than the previous term.

Since we know that formula for nth term of an arithmetic sequence is: a_n=a_1+(n-1)d, where,

a_n=\text{nth term of the sequence},

a_1=\text{1st term of the sequence},

n=\text{Number of terms of the sequence},

d=\text{Common difference}.

Since on the first day Jessie scored 2 runs, so a_1=2 and difference between two consecutive terms is 2 (4-2=2), so d will be 2.

Upon substituting our values in arithmetic sequence formula we will get,

a_n=2+(n-1)*2

a_n=2+2n-2

a_n=2n

Therefore, formula for nth term of sequence representing number scored by Jessie on the baseball tournament is a_n=2n.

Let us find the 8th term of sequence by substituting n=8 in our sequence formula.

a_8=2*8

a_8=16

Therefore, Jessie should score 16 runs on the eighth day of baseball tournament.

8 0
3 years ago
If A = {1,20,30..} and B = {4,6} find n(A-B)?​
boyakko [2]

Answer:

If A = {1,20,30..} and B = {4,6} find n(A-B)?

6 0
2 years ago
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First.
velikii [3]

Answer:o

Step-by-step explanation:

3 0
3 years ago
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The circumference of a standard baseball is about 9in. About how many square inches of horsehide are required to cover 100 balls
Marta_Voda [28]
This is the concept of area of solid materials, we are required to calculate the total area of horsehide that is required to cover 100 balls with each having a circumference of 9 in.
The area of hide required will be given by:
area=(area of each ball)*(total number of balls)
area of each ball is given by:
SA=4πr^2
given that the circumference is 9in, we are required to find the radius of the ball
Circumference, c=2πr
thus;
9=2πr
r=9/(2π)
r=1.4 in
Therefore the surface area will be:
SA=4π*1.4^2=24.6 in^2
Therefore the area of horsehide required to cover 100 balls will be:
Area=24.6*100=2,460 in^2.
5 0
3 years ago
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