Answer:
b. x² + 8x + 12 =
1. use the factoring X (see attachment)
2. 6 x 2 = 12; 6 + 2 = 12
3. (x + 6)(x + 2) = 0
4. x = -6, -2
c. x² + 13x + 12 =
1. 12 x 1 = 12; 12 + 1 = 13
2. (x + 12)(x + 1) = 0
3. x = -12, -1
c. x² + x - 12 =
1. 4 · (-3) = -12; 4 - 3 = 1
2. (x +4)(x - 3) = 0
3. x = -4, 3
f. x² + 15x + 36 =
1. 12 x 3 = 36; 12 + 3 = 15
2. (x + 12)(x + 3) = 0
3. x = -12, -3
hope this helps :)
Answer:
(1 cm)cos3πt
Step-by-step explanation:
Since the piston starts at its maximal height and returns to its maximal height three times evert 2 seconds, it is modelled by a cosine functions, since a cosine function starts at its maximum point. So, its height h = Acos2πft
where A = amplitude of the oscillation and f = frequency of oscillation and t = time of propagation of oscillation.
Now, since the piston rises in such a way that it returns to the maximal height three times every two seconds, its frequency, f = number of oscillations/time taken for oscillation where number of oscillations = 3 and time taken for oscillations = 2 s
So, f = 3/2 s =1.5 /s = 1.5 Hz
Also, since the the piston moves between 3 cm and 5 cm, the distance between its maximum displacement(crest) of 5 cm and minimum displacement(trough) of 3 cm is H = 5 cm - 3 cm = 2 cm. So its amplitude, A = H/2 = 2 cm/2 = 1 cm
h = Acos2πft
= (1 cm)cos2π(1.5Hz)t
= (1 cm)cos3πt
66% divided by 365 days is the answer i think
Answer:
765.45 grams
Step-by-step explanation:
Using the hint that they gave us, we would do 27 * 28.35.
That would equate to 765.45 grams.
The answers to the questions on how she would use the colored chips are given here:
- writing a new article 6 yellow chips
- designing a computer presentation 10 red chips
<h3>How to solve for the values</h3>
For the first percentage
20 / 100 = x/20
= 20 * 20 = 100x
400 = 100x
divide through by 100
x = 400/100
x = 4
For the second percentage
30/100 = x/20
600 = 100x
x = 600/100
x = 6
For the last
50/100 = x/20
1000 = 100x
x = 10
The proof is that 6 + 4 + 10 still gives us 20
Read more on percentages here: brainly.com/question/24877689
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