When calculating consecutive integers, the smaller number is x and the larger number is (x + 1).
So the equation you can use is x + (x + 1) = 5 + 3(x + 1)
This is because the sum of the consecutive integers are equal to 5 more than 3 times the larger integer.
Now simplify:
x + (x + 1) = 5 + 3(x + 1)
2x + 1 = 5 + 3(x + 1)
2x + 1 = 5 + 3x + 3
2x + 1 = 3x + 8
Now isolate the variable:
2x + 1 = 3x + 8
Subtract 2x from both sides:
1 = x + 8
Subtract 8 from both side:
-7 = x
x = -7
So the smaller number is -7 and the larger number is -6.
Now check your answer:
-7 + (-7 + 1) = 5 + 3(-7 + 1)
-7 + (-6) = 5 + 3(-7 + 1)
-7 + (-6) = 5 + 3(-7 + 1)
-7 - 6 = 5 + 3(-7 + 1)
-13 = 5 + 3(-7 + 1)
-13 = 5 + 3(-6)
-13 = 5 + (-18)
-13 = 5 - 18
-13 = -13
This works!
So the integers are -7 and -6.
Answer:E'F' and EF are equal in length.
-6x - 3
Step-by-step-explanation:
G(x) is the same as saying y =
y = (2)⁻¹ When an exponent is negative it is the same as the inverse of it
y = 1/2¹
y = 1/2
--or--
g(2) = 1/2
Answer:
56-7m
Step-by-step explanation:
l7m–56l m<8
so lets replace m with something smalller then 8, how about 7
so then it would be...
l 7 * 7 - 56 l=
l 49-56 l = l -7 l
but the absulute value of -7 is 7, so how does this help us? well lets see
56-49= 7 this proves that all we have to do is switch the order giving us the solution 56-7m
hope this helped :)
