f(x) = (x - )² -
the equation of a quadratic in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
given a quadratic in standard form : y = ax² + bx + c ( a ≠ 0 )
then the x- coordinate of the vertex is
= -
f(x) = x² - 11x + 9 is in standard form
with a = 1, b = - 11 and c = 9
= - =
substitute this value into the equation for y- coordinate
y = ()² - 11() + 9
= - + = -
f(x) = (x - )² - ← in vertex form
Answers:
- 26) probability = 1/4
- 27) probability = 0.0588
- 28) probability = 0.157
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Work Shown:
26)
1/2 = probability of an odd number, since half of the numbers are odd
1/2 = probability of tails
(1/2)*(1/2) = 1/4 is the probability of both events happening at the same time
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27)
13/52 = probability of pulling out one club
12/51 = probability of pulling out a second club, assuming the first one is not put back
(13/52)*(12/51) = 156/2652 = 1/17 = 0.0588 is the probability of pulling two clubs in a row (without replacement).
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28)
11/27 = probability first person has blonde hair
10/26 = probability second person has blonde hair (cannot reselect the first person again)
(11/27)*(10/26) = 110/702 = 55/351 = 0.157 is the probability of selecting two people with blonde hair
Y = log x / x
y ` = (( log x )` * x - (x)` * log x) / x²=
= (1/x * x - 1 * log x ) / x² =
= ( 1 - log x ) / x²
y ` = 0;
1 - log x = 0
log x = 1
x = e
The maximum value:
y max = log e / e = 1 / e
Answer:
in figure 1 the value of X is 20° and figure 2 the value of X is 19° and y is 123°
A rhombus is considered a parallelogram since a parallelogram is defined as any figure having four sides with opposite sides parallel. <span>On a basic parallelogram, opposite angles are congruent. Therefore, the correct answer to the given statement above would be TRUE. Hope this answer helps. </span>