The motion of the rock thrown from the cliff which goes downwards due to
the gravitational force, is a free fall motion.
- 125 represents; <u>A. The initial height of the rock</u>.
Reasons:
The given function that represents the height of the of the rock in feet <em>x</em> seconds after being thrown is; f(x) = 16·x² + 4·x + 125
At the initial height before being thrown from the cliff, we have;
The time, x = 0
The initial height is therefore;
The initial height f(0) = 16 × (0)² + 4 × (0) + 125 = 125
125 represents <u>A. The initial height of the rock</u>
Learn more about motion under gravity here:
brainly.com/question/7596138
You do 0.621 times 10 which equals your answer 6.21 miles.
1) -5-4i
2) 5+4i
3) -4+5i
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Answer:
55 performances
Step-by-step explanation:
The first equation will be the total cost. The total cost has $88,000 already and then $5,900 is added with each performance. So the equation would be 88,000+5,900x because x will represent the number of performances.
y = 88,000 + 5,900x
The next equation will be how much the performances earn. If they earn $7,500 with each performance then the equation will be 7,500x, with x representing the number of performances
y = 7,500x
Now set the equations equal to each other and solve for x
7,500x = 88,000 + 5,900x
1,600x = 88,000
x = 55
They need to have 55 performances for the cost and the revenue to break even.
Answer:
No <em>real</em> solutions (or has two complex roots)
Step-by-step explanation:
The discriminant, <em>b</em>² - 4<em>ac</em>, is the expression (<u><em>radicand </em></u>) of the quadratic equation:
.
The value of the discriminant determines the <u>nature</u> and the <u>number of solutions</u> given by the quadratic equation.
A discriminant with a negative value (or b² - 4ac < 0 ) means that the quadratic equation has no real solutions or two complex solutions. Quadratic equations with a negative discriminant also have no x-intercepts; thus, its graph will not cross the x-axis.
