Answer:
It is the odd number 1009
Step-by-step explanation:
Notice that this problem involves the addition of a number "1" per consecutive pair (a number minus the integer that immediately precedes it), so it adds "1" (one) every couple of consecutive numbers.
2018 - 2017 = 1
2016 - 2015 = 1
...
4- 3 = 1
2 - 1 = 1
That means it is the addition of 2018/2 = 1009 numbers "1". This clearly results on the number 1009, which is an odd number.
Answer:
function b
Step-by-step explanation:
When its asking for which function has a greater rate of change its asking for which slope has a greater value
the slope is calculated by change in y over change in x
for function a, as y goes up 2 x goes up 1
so the slope ( rate of change) is 2/1
for function b is y goes up 3 x goes up 1
so the slope (rate of change) is 3/1
3/1 is greater than 2/1 so function b has a greater rate of change
Answer:
p = 1.5 and q = 9
Step-by-step explanation:
Expand the right side then compare the coefficients of like terms on both sides, that is
4(x + p)² - q ← expand (x + p)² using FOIL
= 4(x² + 2px + p²) - q ← distribute parenthesis
= 4x² + 8px + 4p² - q
Comparing coefficients of like terms on both sides
8p = 12 ( coefficients of x- terms ) ← divide both sides by 8
p = 1.5
4p² - q = 0 ( constant terms ), that is
4(1.5)² - q = 0
9 - q = 0 ( subtract 9 from both sides )
- q = - 9 ( multiply both sides by - 1 )
q = 9
Answer:
Answer:
Step-by-step explanation:
Give letters, as in the attached image.
The triangles ABE and CDE are similars (AAA). In particular 
