Please someone help Im confused

Which equation has (2, -1) as a solution?

brilliants [131]

(x,y) is a solution to an eqn when y = mx + c

A. 2(2)-1 = 3 <>-1

B. 2+3 = 5<>-1

C. 2-3 = -1 = y

so C has (2,-1) as a solution

7 0

4 years ago

Write an equivalent expression for 3 (1-7)

Radda [10]

3 (1-7) = 3*1+3*-7
I really just used the distributive property for this.

6 0

3 years ago

1A research firm finds that the average number of customers that are in Somerset Mall on a

SpyIntel [72]

Answer: C(t) = -475.5*cos(t*pi/6) + 475.5

Step-by-step explanation:

We know that we have a sinusoidal relation, with a minimum at 9:00 am and at 9:00 pm.

If we define the 9:00 am as our t = 0, we have that the maximum, at 3:00pm, is at t = 6 hours.

and the other minimum, at 9:00pm, is at t = 12 hours.

Then we need to find a trigonometric function that has the minimum at t = 0, we can do this as:

-Cos(c*t)

when t = 0

-cos(0) = - 1

then we have a function:

C(t) = -A*cos(c*t) + B

where A, c and B are constants.

We know that at t = 0 we have 0 customers, and that at t = 6h we have 875 customers, that is the maximum.

then:

C(0) = 0 = -A + B

this means that A = B, then our function is:

C(0) = -A*cos(c*t) + A.

now, at t = 6h we have a maximum, this means that -A*cos(c*6h) = A

then:

C(6h) = A + A = 875

2A = 875

A = 875/2 = 437.5

and we also have that, if -cos(c*6) = 1

then cos(c*6) = -1

and we know that cos(pi) = -1

then c*6 = pi

c = pi/6

Then our function is

C(t) = -475.5*cos(t*pi/6) + 475.5

8 0

3 years ago

Identify the horizontal asymptote of f(x) = quantity 2 x minus 1 over quantity x squared minus 7 x plus 3.

Rina8888 [55]

We must recall that a horizontal asymptote is the value/s of y that the given function approaches to but never reaches. To find this in a rational function, we compare the expressions with highest degree in the numerator and denominator. There are three possible outcome when this happens.

1. if the highest degree (highest exponent) in the numerator is bigger than that of the denominator, then there won't be any horizontal asymptote.

2. if the highest degree in the denominator is bigger, then the horizontal symptote would be y = 0.

3. if they have the same highest degree, then we just get the quotient of their coefficient.

Now, going back to our function, we have

$f(x) = \frac{2x - 1}{x^{2} - 7x + 3}$

From this we can see that the highest degree in the numerator is 1 (from 2x) and 2 (from x²) for the denominator. Clearly, it shows that its denominator has a higher degree. And from our discussion, we can conclude that the horizontal asymptote would be y = 0.

Answer: y = 0

3 0

4 years ago

Please help me out and explain it to me

Grace [21]

Answer:

Answer is option d 14+18i

Step-by-step explanation:

$given \: expression \: is \\ (5 + 12i) - (9 {i}^{2} - 6i) \: \: \: where \: i = \sqrt{ - 1} \: \: \\ = 5 + 12i - 9 {i }^{2} + 6i \\ = 18i + 5 - 9( - 1) \\ 18i + 5 + 9 \\ = 18i + 14$

HAVE A NICE DAY!

THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION. 

6 0

3 years ago