The figure is represented by the inequality y ≥ 5 · x² - 40 · x - 45. (Correct choice: C)
<h3>What inequality represents the figure</h3>
In accordance with the figure, we have an inequation of the form y ≥ f(x). Now we proceed to find the <em>quadratic</em> equation of the parabola:
f(x) = a · (x + 1) · (x - 9)
- 125 = a · (4 + 1) · (4 - 9)
- 125 = a · 5 · (- 5)
- 125 = - 25 · a
a = - 5
f(x) = 5 · (x + 1) · (x - 9)
f(x) = 5 · (x² - 8 · x - 9)
f(x) = 5 · x² - 40 · x - 45
The figure is represented by the inequality y ≥ 5 · x² - 40 · x - 45. (Correct choice: C)
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Solution:
we are given that
A jury pool consists of 50 potential jurors.
Wee have been asked to find the number of ways can a jury of 12 be selected.
As we know from the concept of combination that r person can be selected out of n in ncr ways. where
Now substitute the values we get
Hence the required number of ways is 121399651100
9514 1404 393
Answer:
f^-1(x) = (x +4)/3
Step-by-step explanation:
The inverse function is found by swapping x and y, then solving for y.
y = 3x -4 . . . . . function y = f(x)
x = 3y -4 . . . . . inverse relation
x +4 = 3y . . . . add 4
(x +4)/3 = y . . . divide by 3. This is the inverse function
f^-1(x) = (x +4)/3
Answer is 86.47 cm hope helped
Both are
indicators of the chemical composition of silicate minerals, magmas and rocks.
Mafic is
used for silicate minerals, magmas and rocks that are composed of heavier
elements, like magnesium, iron, calcium and sodium. They are dark and have high
specific gravities.
<span>Opposite to
the this, felsic silicate minerals, magmas and rocks in their composition have
less from these heavy elements. They are composed from silicon, oxygen,
aluminium and potassium, are light in color and have lower specific gravities.</span>
