There are 59 integer solutions
Such questions are best solved by writing cases and calculating the total number of cases. So beginning with
1) x = -3. The possible combinations are as follows:-
-3 2 13
-3 3 12
-3 4 11
-3 5 10
-3 6 9
-3 7 8
-3 8 7
-3 9 6
-3 10 5
-3 11 4
10 combinations
2) x = -2
-2 2 12
through
-2 11 3
10 combinations
3) x = -1
-1 2 11
through
-1 10 3
9 combinations
4) x = 0
0 2 10
through
0 9 3
8 combinations
as we can see from the pattern at x =1 we get 7 combinations, at x =2 we get 6 combinations, at x=3 we get 5 combinations and at x =4 we get 5 combinations.
Thus total number of combinations 4+5+6+7+8+9+10+10 = 59 integer solution.
Learn more about combinations here :
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Answer:
1/8^4
Step-by-step explanation:
when divinding exponents with the same base, subtract the power. you get 8^-4. since the problem specifies no negative exponents you need to simplify. this give you 1/8^4
9514 1404 393
Answer:
$7.10
Step-by-step explanation:
Nevach's rate can be found by using x=1 in the equation for his pay.
y = 28.5 × 1 = 28.50 . . . . dollars
Carson's hourly rate can be found by dividing dollars by hours:
$214/(10 h) = $21.40/h
Nevach's rate exceeds this by ...
$28.40 -21.40 = $7.10
Nevach earns $7.10 more per hour.
Volume of a triangular prism = base area x height
720 = base area x 5
base area = 720 ÷ 5 = 144 ft²
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Answer: The base area is 144 ft²
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6x-2y=2
-3x+4y=5
2(-3x)+2(4y)=2(5)
-6x+8y=10
6x-2y=2
-6x+8y=10
6y=12
y=2
6x-2(2)=2
6x-4=2
6x=6
x=1
y=2 and x=1
