Answer:
1. x =0; x = -7
2. x = -3; x = 10
3. x = -5; x = -4
Step-by-step explanation:
(1). 6x² + 42x = 0
6x (x + 7) = 0
6x = 0. OR. x + 7 = 0
x = 0/6. x = 0 - 7
x = 0. x = -7
x = 0
x = -7
(2). x² - 7x - 30 = 0
The factors here are (3, -10)
x² - 10x + 3x - 30 = 0
x ( x - 10) + 3 ( x - 10) = 0
(x + 3) ( x - 10) = 0
x + 3 = 0 OR. x - 10 = 0
x = 0-3. x = 0 + 10
x = -3. x = 10
x = -3
x = 10
(3). x² + 9x + 20 = 0
The factors are ( 4, 5)
x² + 4x + 5x + 20 = 0
x ( x + 4) + 5 ( x + 4) = 0
(x + 5) (x + 4) = 0
x + 5 = 0 . OR. x + 4 = 0
x = 0-5. x = 0 - 4
x = -5. x = -4
x = -5
x = -4
Given:
y-intercept of the graph: (0, 90)
zeros: 5 and 9
The equation that models the function based on the zeros given, is either
y = 90 (x-5) (x-9)
or
y= 2(x-5)(x-9)
try solving for the y-intercept of each function,
y = 90 (0-5) (0-9)
y = 4050
(0, 4050)
y = 2(0-5) (0-9)
y = 90
(0, 90)
therefore, the equation that models the function is y = 2(x-5)(x-9)
1. in picture 1
2. in picture 2
Hope this helps :T
Also I am not so shure about 2, but I am 98% shure 1 is right.
Isabelle has a leash for her dog in the backyard. The leash is attached to a post which allows thedog to travel in a circle around the post. The leash is 3 feet long. How much of the yard can thedog reach while on the leash?
Answer:
A statistical question is one that can be answered by collecting data and where there will be variability in that data. This is different from a question that anticipates a deterministic answer.
Step-by-step explanation:
