Answer:
You are right
Step-by-step explanation:
So basically find the absolute maximum of the graph that the function creates, the highest peak is the spot with the greatest y-value, in this case is (60, 1600).
The x-value that creates the greatest y is also the x-value of the vertex for that function of yours (since your function has end behavior of both ends down). To find the x-value of the vertex, get the average of the 2 x-intercepts. So (20+100)/2, which is 60.
Answer:
b =
Step-by-step explanation:
Using the discriminant for nature of roots ( x- intercepts )
If b² - 4ac = 0 then roots are real and equal ( that is only 1 x- intercept )
Given
f(x) = x² - 2bx + b² + 2b - 1
with a = 1, b = - 2b and c = b² + 2b - 1, then
(- 2b)² - 4(b² + 2b - 1) = 0 ← distribute and simplify left side
4b² - 4b² - 8b + 4 = 0
- 8b + 4 = 0 ( subtract 4 from both sides )
- 8b = - 4 ( divide both sides by - 8 )
b =
Answer:
all real numbers less than or equals to 4
Answer:
b. The supplements of congruent angles are congruent
Explanation:
Note that
is a supplement of
and
is a supplement of
.
Since
,
because
the supplement of the congruent angles are congruent.
Answer:
Figure 1: x = 120°
Figure 2: x = 54°
Figure 3: x = 64°
Step-by-step explanation:
Every triangles interior angles will add up to 180°
Figure 1: 30 + 30 + x = 180
60 + x = 180
x = 120
Figure 2: 104 + 22 + x = 180
126 + x = 180
x = 54
Figure 3:
part 1: 154 + z = 180
z = 26
part 2: 90 + 26 + x = 180
116 + x = 180
x = 64