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PtichkaEL [24]
3 years ago
8

Which of the following would best represent a cosine function with an amplitude of 2, a period of pi over 3, and a midline at y

= 1?
f(x) = cos(x − pi over 3) + 2
f(x) = 2 cos(x − pi over 3) + 1
f(x) = −2 cos 6x + 1
f(x) = −cos 6x + 2
Mathematics
2 answers:
hodyreva [135]3 years ago
8 0
F(x) = −2 cos 6x + 1
OleMash [197]3 years ago
3 0
C. f(x) = – 2 cos 6x + 1

Start by determining the amplitude. Since we've deduced the amplitude is 2, the equation can include either a positive or negative 2 (since amplitude measures absolute value).

Next is the period. The equation for period P is P = (2pi)/b. If P is pi/3, then
pi/3 = (2pi)/b. Thus your b value should be 6.

Finally, the midline would be given by + 1 since adding a unit shifts the function upwards. This means that instead of the highest y value being 2 and the lowest -2, instead you'd have values of 3 and -1.
(3 – 1)/2 = 1 (midpoint theory).
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If 2/3 and -3 are the roots of the equation px^2+7x+q=0, find the values of p and q.
weqwewe [10]

Answer:

p = 3

q = -6

Step-by-step explanation:

Work backwards from the roots:

x = \frac{2}{3}

3x = 2

3x - 2 = 0

Other root:

x = -3

x + 3 = 0

Multiply them together:

(3x - 2)(x + 3) = 0

3x² - 9x + 2x - 6 = 0

3x² - 7x - 6 = 0

p = 3

q = -6

4 0
3 years ago
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The equation of line S is y = 8x − 7 .
LenKa [72]

Answer:

y = 8x + 9

Step-by-step explanation:

Parallel lines have the same gradient,

So m = 8

y = 8x + c

When x = -1 ,y = 1

1 = 8(-1) + c

c = 9

y = 8x + 9

6 0
4 years ago
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Using the information above regarding the proportion of agenda-less meetings, choose the correct conclusion for this hypothesis
ruslelena [56]

Answer: There is sufficient evidence to conclude that the proportion of agenda-less meetings is greater than 45%.

Step-by-step explanation:

Given: H_0:p=0.45 \\ H_a:p>0.45

The p-value for this hypothesis test is 0.025.

The level of significance is α=0.05

As p-value< α  ∵0.025< 0.05

[if p-value< α , we reject H_0]

then, we reject the null hypothesis.

i.e. We have sufficient evidence to support the alternative hypothesis.

Hence, the correct statement is : There is sufficient evidence to conclude that the proportion of agenda-less meetings is greater than 45%.

3 0
4 years ago
Plz help ASAP please please
jeyben [28]
It should be figure B

Hope it helps :)
5 0
4 years ago
Pls help i dont know
GenaCL600 [577]

ok, so, it's 12 ft by 17 ft but, because we want to leave a one foot space around the room, we should subtract 1 from each of the mesurments and then multiply those numbers

11 x 16 = 176

8 0
4 years ago
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