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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Answer:
answer is cm² ok
Step-by-step explanation:
because it is saying area ,in area we have to put cm2
It should be the third option
Answer:
x = 2.4
Step-by-step explanation:
Simplify.
24 - 4x + 4 = 6x + 2 - 6
Combine like terms (24 + 4 = 28, sorry for the confusion!)
28 - 4x = 6x - 4
Add x and add 4 to both sides.
10x = 32
x = 3.2
The x intercept is where the graph crosses the x axis and this happens whenever y = 0.
To find the x intercept, plug in y = 0 and solve for x
y = (-1/5)x+6
(-1/5)x+6 = y
(-1/5)x+6 = 0
(-1/5)x = -6
-x = 5*(-6)
-x = -30
x = 30
<h3>The x intercept is 30</h3>
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If you plugged x = 30 into y = (-1/5)x+6, then you'd get y = 0
y = (-1/5)x+6
y = (-1/5)(30)+6
y = -6+6
y = 0