Answer:
the answer is f(x) = n*(-2)
ratio is the wrong word to use, it is for contolled variation in probability. a sequence is controlled by what is known as a function - f(x) is the symbol for a function
Step-by-step explanation:
the following number of the previous one in the sequence is derived by the function f(x)=n*(-2)
2 x -2 = -4 (positive x negative = negative)
-4 × -2 = 8 (negative x negative = positive)
8 x -2 = -16 (positive x negative = negative)
so in the sequence, the trend of -,+ double will go on
Answer:
P = 42.84 cm
Step-by-step explanation:
A half-circle is joined to an equilateral triangle with side lengths of 12 units.
We need to find the perimeter of the resulting shape.
The perimeter of the half cirle is πr.
The diameter of the circle is 12. It means radius is 6 units.
An equilateral triangle has 3 equal sides. So, perimeter of the triangle is given by :
P = πr + 12 +12
= 3.14(6) + 24
= 42.84 cm
Hence, the perimeter of the resulting shape is 42.84 cm.
Answer:
<u>c + 8 ≤ -19</u>
Step-by-step explanation:
The number c increased by 6 is less than or equal to -19.
<u>c + 8 ≤ -19</u>
<u></u>
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:
the number is greater than the variable.
Step-by-step explanation:
