Hi. I was unsure of what exactly you wanted from this equation, so here's a quick analysis:
<em>f(x) = 2(x - 3)^2 - 2</em>
<em></em>
Domain: (-∞, ∞)
Range: (-2, ∞)
X-intercepts: (4, 0), (2, 0)
Y-intercept: (0, 16)
Axis of Symmetry: x = 3
Minimum value (vertex): (3, -2)
Standard form: y = 2x^2 - 12x + 16
Answer:
Step-by-step explanation:
Additive inverse of (5a² - 4a + 3) should be added to make them zero
(5a² - 4a + 3) + (-5a² + 4a - 3)= <u>5a² - 5a² </u> <u>- 4a + 4a</u> <u>+ 3 - 3</u>
= 0
Angular velocity = 300 revolutions per minute
1 revolution = 2π radians.
So, we can write:
Angular velocity = 300 x 2π radians per minute = 600π radians per minute
1 minute = 60 seconds.
So,
Angular velocity = 600π radians per 60 seconds
⇒
Angular velocity = 10π radians per second
Angular velocity = 31.42 radians per second
Thus, rounding of to nearest hundredth, the angular velocity will be 31.42 radians per second.
Answer:
50 increased by 30% is 65
Step-by-step explanation:
'Percent (%)' means 'out of one hundred':
p% = p 'out of one hundred',
p% is read p 'percent',
p% = p/100 = p ÷ 100.
30% = 30/100 = 30 ÷ 100 = 0.3.
100% = 100/100 = 100 ÷ 100 = 1.
Percentage increase = 30% × 50
New value = 50 + Percentage increase
Calculate
New value =
50 + Percentage increase =
50 + (30% × 50) =
50 + 30% × 50 =
(1 + 30%) × 50 =
(100% + 30%) × 50 =
130% × 50 =
130 ÷ 100 × 50 =
130 × 50 ÷ 100 =
6,500 ÷ 100 =
65
Or just find 30% of 50 (15) and add that
Answer: See explanation
Step-by-step explanation:
The number of comedy films will be:
= 6/(6+8+1) × 135
= 6/15 × 135
= 54 comedy films
The number of action films will be:
= 8/(6+8+1) × 135
= 8/15 × 135
= 72 action films
The number of horror films will be:
= 1/(6+8+1) × 135
= 1/15 × 135
= 9 horror films
