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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-7+3/6+6=-4/12= -1/4
y+3= -1/4(x+6)
y+3= -1/4x-3/2
y=-1/4x-9/2
Answer:
the base length is 8 units
Step-by-step explanation:
You can use pythagorean theorem to solve this
Answer:
h = -8.5
Step-by-step explanation:
10.35+2.3h=-9.2
Subtract 10.35 from each side
10.35-10.35+2.3h=-9.2-10.35
2.3 h =-19.55
Divide each side by 2.3
2.3h/ 2.3 = -19.55/2.3
h =-8.5
Answer:
Its 7.333333333333333333 (3 forever)
First you isolate y onto one side of the equation
y/9= 44/54 --> y = 9 x 44/54
Multiply the right side of the equation
9 x 44/54 = 396/54
Now divide to get the whole answer
396/54 = 7.3333333333 (3 forever)
y = 7.333333