Vasily states that−6(5g−7h+9−10g) can be rewritten as−30g+42h−54
.

Which of these explains whether Vasily is correct?

A
Vasily is not correct. He should have rewritten the original expression as −6(−5g−7h+9)
and then as 30g+42h−54
.
B
Vasily is correct. He can rewrite the original expression as −6(−5g−7h+9)
and then as −30g+42h−54
.
C
Vasily is correct. He can rewrite the original expression as −6(5g−7h+9)
and then as −30g+42h−54
.
D
Vasily is not correct. He should have rewritten the original expression as −6(5g−7h+9)
and then as 30g−42h+54
.

A. Vasily is not correct. He should have rewritten the original expression as −6(−5g−7h+9) and then as 30g+42h−54.

Step-by-step explanation:

Given the expression;

Rearranging the above, we have;

Simplifying, we have;

Multiply, to open the bracket;

Therefore, Vasily should have rewritten the original expression as −6(−5g−7h+9) and then as 30g+42h−54.  

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.