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2 years ago

Would appreciate an explanation. PLEASE ANSWER THIS

Mathematics

1 answer:

Radda [10]2 years ago

8 0

c^2 = a^2 + b^2 - 2*ab*Cos(C)

c = 16; a = 17; b = 8 (what you call a and b don't really matter. c does). Substitute.

16^2 = 17^2 + 8^2 - 2*17*8*Cos(C) Add the first 2 on the right.

256 = 289 + 64 - 282*cos(C)

256 = 353 - 282*cos(C) Whatever you do, don't do any more combing on the right side. Subtract 353 from both sides.

-97 = -282 * cos(C ) Divide by 282

0.34397 = cos(C)

cos-1(0.34397) = C ; C = 69.88 degrees.

Do you need more help on this question? All of these are done the same way.

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An online retail company tracked total number of purchases monthly. In June 2007 they were 4,500 purchases and in September 2008

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Complete Question:

An online retail company tracked total number of purchases monthly. In June 2007 they were 4,500 purchases and in September 2008 there were 5,100. The purchases followed a linear model of the form p = S ( t ) = r t + i where p purchases is in 1000's and t is months where January 2007=0

a) What is the constant rate of sales

b) Write out the linear model function with the parameter values `p=S(t)

Answer:

a) Rate of sales, r = 40

b) Linear model function, p = s(t) = 40t + 2100

Step-by-step explanation:

p = S ( t ) = r t + i ......................(1)

Since January 2007 corresponds to t = 0, June 2007 corresponds to t = 6

Purchase, p = S(6) = 4500

Substituting these values into equation (1):

6r + i = 4500......................(2)

September 2008 corresponds to t = 21

Purchase, p = S(21) = 5100

21r + i = 5100......................(3)

Subtracting equation (2) from equation (3):

15r = 600

r = 600/15

r = 40

a) Therefore, rate of sale, r = 40

Substituting the value of r into equation (2)

6(40) + i = 4500

i = 4500 - 2400

i = 2100

b) The linear model function is:

p = s(t) = 40t + 2100

6 0

2 years ago

Which polynomial function could be represented by the graph below?

Svetllana [295]

Note that

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$f(x)=x^3-x^2-6x=x(x^2-x-6)=x(x+2)(x-3)$

The x-intercepts are at points x=-2, x=0, x=3. The graph should be increasing - decreasing - increasing.

$f(x)=-2x^3-2x^2+12x=-2x(x^2+x-6)=-2x(x-2)(x+3)$

The x-intercepts are at points x=-3, x=0, x=2. The graph should be decreasing - increasing - decreasing.

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The x-intercepts are at points x=-2, x=0, x=3. The graph should be decreasing - increasing - decreasing.

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2 years ago

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The <em>correct answer</em> is:

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