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gizmo_the_mogwai [7]
2 years ago
15

What is the equation of the graph below? On a coordinate plane, a curve goes through (0, 0). It has a maximum of 1 and a minimum

of negative 1. It goes through one cycle at StartFraction 2 pi Over 3 EndFraction y = sine (StartFraction x Over 3 EndFraction) y = sin(3x) y = sin(0.3x) y = sine (StartFraction 2 x Over 3 EndFraction)
Mathematics
1 answer:
bogdanovich [222]2 years ago
6 0

Answer:

y=cos(x+π)

Step-by-step explanation:

Known that the cosine function has a period of 2π.

Now, the parental function is y = cosx, which has y-intercept at y = 1, and x-intercept at π/2.

Notice that the function showed in the graph attached has y-intercept at y = -1 and x-intercept at π/2. This indicates that the function has been moved leftwards π units.

Therefore, the function that belongs to this graph is

y=cos(x + \pi)

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Clarissa's income puts her in the bottom tax bracket (10%) last year. During the same year, she earned $250 in dividends and $75
Art [367]

Answer:

75 in coupons.

250 in dividends.

profit of 600 - 425 = 175 from her stock investment.  

her total income is 250 + 75 + 175 = 500.  

if all of this is taxed at 10%, then her tax will be 500 * .1 = 50.  

8 0
2 years ago
Rate at which risk of down syndrome is changing is approximated by function r(x) = 0.004641x2 − 0.3012x + 4.9 (20 ≤ x ≤ 45) wher
romanna [79]
The rate of change of the risk of down syndrome (in percentage of births per year) is
r(x) = 0.004641x² - 0.3012x + 4.9,   20≤ x ≤ 45
where
x = maternal age at delivery.

The function giving risk as a percentage of births when maternal age is x is the integral of r(x). That is,
f(x) = 0.001547x³ - 0.1506x² +4.9x + c

When x = 30, f = 0.14%. Therefore
0.001547(30³) - 0.1506(30²) + 4.9(30) + c = 0.14 
41.769 - 135.54 + 147 + c = 0.14
c = -53.089

Answer:
f(x) = 0.001547x³ - 0.1506x² + 4.9x - 53.089,   20 ≤ x ≤ 45

The function is graphed as shown below.

7 0
2 years ago
Mr. Washington is putting his DVDs on a shelf that is 10 2⁄3 inches long. If each DVD is 11⁄20 inches wide, how many DVDs can he
omeli [17]
(10 2/3)/(11/20)

(32/3)/(11/20)

(32/3)*(20/11)

640/33

19 13/33  since DVDs are integer units Mr. Washington can only have 19 DVD's side-by-side.


4 0
2 years ago
Read 2 more answers
A scatterplot consists of (1, 4.0), (2, 3.3), (3, 3.8), (4, 2.6), and (5, 2.7). The line of best fit used to model the data is y
zhenek [66]

Answer:

b

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
In a sale, normal prices are reduced by 13%. The sale price of a DVD recorder is £108.75 Calculate the normal price of the DVD r
kifflom [539]

Answer:

$122.89

Step-by-step explanation:

The two number you have in this equation are 108.75 and 13% (or .13)

first you want to multiply 108.75 to .13

108.75 * .13 = 14.1375

Now, you add 14.1375 to 180.75 and round to the nearest hundredth

180.75+ 14.1375=122.8875

$122.89

5 0
2 years ago
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