Answer:
y = 3x² + 54x + 240
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
here (h, k) = (- 9, - 3), thus
y = a(x + 9)² - 3
To find a substitute either of the roots into the equation
Using (- 8, 0), then
0 = a(- 8 + 9)² - 3
0 = a - 3 ( add 3 to both sides )
a = 3
y = 3(x + 9)² - 3 ← in vertex form
Expand factor and simplify
y = 3(x² + 18x + 81) - 3
= 3x² + 54x + 243 - 3
= 3x² + 54x + 240 ← in standard form
Answer:
D
Step-by-step explanation:
Pythagoras theorem
the square of the hypotenuse= (adjacent) square +(opposite) square
Answer:
27
Step-by-step explanation:
3/1=x/9
cross multiply, or its just a ratio actually. 1:3 is equal to 9:27
Answer:
6.7
Step-by-step explanation:
10% of 30000
10/100 x 30000
0.10 x 30000
=3000
In order to find how long you have to divide 20k with 3k
20000/3000 = 6.66666667
Round it up and you get 6.7
Answer:
0
Step-by-step explanation:
Given :
Mean = 40 ; Standard deviation = 2
P(x < 28)
Obtain the Zscore :
Z = (x - mean) / standard deviation
P(Z < (28 - 40) / 2))
Z = (28 - 40) / 2
Z = - 12 / 2
Z = - 6
P(Z < - 6) = 0.000000
