Answer:
1/36
Step-by-step explanation:
When the coefficient is 1, the function has zeros at -3 and -5, one horizontal unit from the vertex. You want to move the zero to (2, 0), which is 6 units from the vertex. To achieve a horizontal stretch by a factor of 6, the value of x in the function must be replaced by x/6. That would make the coefficient of x^2 be (1/6)^2 = 1/36.
The coefficient of the squared term is 1/36.
sum of triangle angles = 180
so
? = 180 - 36 - 92 = 52° => D
Answer:
The new price of the ball is $20.30.
Step-by-step explanation:
30% of $29 is $8.70.
$29 - $8.70 = $20.30
Hope this helped!
Answer:
36th term
Step-by-step explanation:
The nth term of an arithmetic sequence is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = - 9 and d = - 4 - (- 9) = - 4 + 9 = 5 , then
= - 9 + 5(n - 1) = - 9 + 5n - 5 = 5n - 14
Equate the nth term to 166 and solve for n
5n - 14 = 166 ( add 14 to both sides )
5n = 180 ( divide both sides by 5 )
n = 36