Answer:
x=(3/5) + (3√6)i/10, and x =(3/5) - (3√6)i/10
Step-by-step explanation:
Use the quadratic formula for ax² +bx +c=0
x= [-b±√(b²-4ac)]/2a
For, -10x² +12x -9 = 0
x= [-12 ±√(12²-4(-10)(-9)] /2(-10)
x= [-12 ±√(144-360)] /-20
x= [-12 ±√(144-360)] /-20
x= (-12 ±i√216) /-20
x= (-12 ±i6√6) /-20
so one solution will be
x= (-12 +i6√6) /-20
= (3/5) - (3√6)i/10
the second solution will be
x= (-12 - i6√6) /-20
= (3/5) + (3√6)i/10
Answer:
A = 1500
3 years = $18,644.48
30 years = $132,032.78
Step-by-step explanation:
Answer: a
Step-by-step explanation:
The angular velocity is 16 radians per second
<u>Solution:</u>
The angular velocity of point is given by formula:
Where,
w is the angular velocity in radians
v is the linear velocity
r is the radius
Given that diameter of wheel is 10 feet
Thus radius is 5 feet
A point on the rim of a wheel moves with a velocity of 80 feet per second
Linear velocity = v = 80 feet per second
Therefore, angular velocity is given as:
Thus angular velocity is 16 radians per second
Answer:
[-6, 8]
Step-by-step explanation:
Domain: set of all possible <u>input</u> values (x-values)
Range: set of all possible <u>output</u> values (y-values)
The <u>closed circles</u> on the <u>endpoints</u> of the curve mean that those points are <u>included</u> in the interval.
From inspection of the graph, the smallest y-value is -6 and greatest y-value is 8.
To express this in <u>interval notation</u> write the beginning and ending numbers of the interval inside <u>square brackets</u> as the end values are <u>included</u>.
(If the circles were open, and therefore the end values should not be included, use curved brackets).
Therefore the range of the given graph is: [-6, 8]