( - 6, 0).(2, 0 ) , vertex = ( - 2, - 16)
to find the x-intercepts set f(x) = 0
x² + 4x - 12 = 0
(x + 6)(x - 2) = 0 ( equate each factor to zero and solve for x )
x + 6 = 0 ⇒ x = - 6
x - 2 = 0 ⇒ x = 2
x- intercepts are ( - 6, 0),(2, 0)
given the quadratic in standard form : y = ax² + bx + c
the x-coordinate of the vertex = - ![\frac{b}{2a}](https://tex.z-dn.net/?f=%5Cfrac%7Bb%7D%7B2a%7D)
here a = 1 , b = 4 and c = - 12
x- coordinate of vertex = -
= - 2
substitute this value into the equation for y-coordinate
x = - 2 → y = 4 - 8 - 12 = - 16
vertex = ( - 2, - 16)
Answer:
Step-by-step explanation:
![2 \frac{1}{9} \div 3 \frac{4}{5} \\ \\ = \frac{2 \times 9 + 1}{9} \div \frac{3 \times 5 + 4}{5} \\ \\ = \frac{18 + 1}{9} \div \frac{15 + 4}{5}\\ \\ = \frac{19}{9} \div \frac{19}{5}\\ \\ = \frac{19}{9} \times \frac{5}{19} \\ \\ = \frac{5}{9}](https://tex.z-dn.net/?f=2%20%5Cfrac%7B1%7D%7B9%7D%20%20%5Cdiv%203%20%5Cfrac%7B4%7D%7B5%7D%20%20%5C%5C%20%20%5C%5C%20%20%3D%20%20%5Cfrac%7B2%20%5Ctimes%209%20%2B%201%7D%7B9%7D%20%20%5Cdiv%20%20%5Cfrac%7B3%20%5Ctimes%205%20%2B%204%7D%7B5%7D%20%20%5C%5C%20%20%5C%5C%20%20%3D%20%20%5Cfrac%7B18%20%2B%201%7D%7B9%7D%20%20%5Cdiv%20%20%5Cfrac%7B15%20%2B%204%7D%7B5%7D%5C%5C%20%20%5C%5C%20%20%3D%20%20%5Cfrac%7B19%7D%7B9%7D%20%20%5Cdiv%20%20%5Cfrac%7B19%7D%7B5%7D%5C%5C%20%20%5C%5C%20%20%3D%20%20%5Cfrac%7B19%7D%7B9%7D%20%20%5Ctimes%20%20%5Cfrac%7B5%7D%7B19%7D%20%5C%5C%20%20%5C%5C%20%20%3D%20%20%5Cfrac%7B5%7D%7B9%7D%20)
Mean: Add all the numbers and divide by the amount of numbers.
20 + 0 + 7 + 10 + 11 + 0 + 25 + 15 + 1 = 89
89/9 = 9.889 (rounded)
Mean = 9.889 (rounded)
Median: Reorder from least to greatest, and the middle number is the median.
0, 0, 1, 7, 10, 11, 15, 20, 25
The middle number is 7
Median = 7
Mode: The number that shows up the most.
Mode = 0, which shows up one time more than all the other numbers
Range: Subtract the greatest number with least number
25 - 0 = 25
Range = 25
hope this helps
Answer:
y=2/3x
Step-by-step explanation:
A direct variation equation is y=kx. if k=2/3, then if x was 9,y would be 6.
Answer:
9.4 feet to the nearest tenth.
Step-by-step explanation:
This makes a right triangle so we use Pythagoras:
23^2 = 21^2 + d^2 where d is the required distance.
d^2 = 23^2 - 21^2
d^2 = 88
d = √88 = 9.3808