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USPshnik [31]
3 years ago
15

The diagram below shows the line 2x+3y=10 dividing the Cartesian plane into seven regions. The system of inequalities defining r

egion VI is:

Mathematics
1 answer:
xxMikexx [17]3 years ago
3 0

Answer:

x\geq 0

y\leq 0

2x+3y\geq 10

Step-by-step explanation:

we know that

The solution for region VI is the shaded area above the solid line 2x+3y=10  and between the positive values of x and the negative values of y

so

The system of inequalities that represent the region VI is

x\geq 0

y\leq 0

2x+3y\geq 10

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In the problem below, AB, CD, and EF are two-digit numbers, where A, B, C, D, E and F represent distinct digits from 1 to 9. Is
Oksi-84 [34.3K]

Answer:

<em>When both the conditions hold true, F is prime.</em>

Step-by-step explanation:

AB, CD, and EF are two-digit numbers, where A, B, C, D, E and F represent distinct digits from 1 to 9.

  AB

+ CD

--------

  EF

1st condition, B and D are consecutive.

Adding B and D gives us F.

Possible values can be (F being the unit value after adding not considering the carry over):

B + D = F

1+2=3

2+3=5

3+4=7

4+5=9

5+6=1

6+7=3

7+8=5

8+9=7

Here F is not prime (because 9 is not prime).

Now, let us consider the 2nd condition as well.

i.e. C = 8

For the following

  AB

+ CD

--------

  EF

C is 8 then A must be 1 because any value other than 1 for A will make the sum of A and C greater than 9 and there will be a carry which is not the case here.

So, E = 8 + 1 = 9

Now, B  and D are consecutive and can not be 1, 8 or 9.

So, possible values are:

B + D = F

2 + 3 = 5

3 + 4 = 7

Here F is prime.

So, when both the conditions hold true, F is prime.

3 0
3 years ago
Simplify (3^3)(1/9^2 − 6 + 2)
AnnZ [28]

Answer:

27/77

Step-by-step explanation:

I hope this is correct

Have a good Day!

3 0
3 years ago
Factor the expression 1.5x+6
swat32

There is no way to factor this so i would assume the answer is no solution.

7 0
3 years ago
How do I solve these questions? <br> 5(1+9v)<br> 20b+12<br> -9/4r=-9/2
MatroZZZ [7]
5(1+9v) = 5+ 45v
20b+12= 4(5b+3)
And the last one is r=2
Hope this helps!
7 0
3 years ago
This my test question I'm 100 bad at math 2b2+16b+49÷2b+4
krek1111 [17]
2b^2 + 81/2 b + 4 


basically 2b^2 + 16b + 49/2 b + 4 
= (2b^2) + 16b+49/2b) + (4) 
= 2b^2 + 81/2 b + 4 
5 0
3 years ago
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