First, let's factor the equation to make it easier to solve for the intercepts:
f(x) = x² + 12x + 32
f(x) = (x + 8)(x + 4)
To find the x-intercepts of a function, set the y value (f(x)) to 0:
0 = (x + 8)(x + 4)
x = -8, -4
Similarly, to find the y-intercept, set the x values to 0:
f(x) = (0 + 8)(0 + 4)
f(x) = (8)(4)
f(x) = 32
*Note that you can see 32 as the y-intercept in the parabola's original equation
Answer:
The most direct use of a compass in any geometric constructions are to draw arcs of a given size.
Step-by-step explanation:
Answer:
The correct answer is (A).
Step-by-step explanation:
Because the data came from 3 groups in a randomized experiment, the appropriate test is a chi-square test for homogeneity.
Answer 1: 2/5= 6/15 3/15-6/15= -3/15
Answer 2: 7/10= 14/20
1/4= 5/20
difference- 9/20
Answer 3:
2 5/6= 17/6
3 2/5= 17/5
17/6 = 85/30
17/5= 102/30
187/30
Answer 4:
11/2
9/7
77/14
81/14
-4/14
Answer 5:
23/4
35/12
69/12+35/12= 104/12= 26/3
