An ordered pair is written like this, ( x, y ). In this case x = 0 and y = -3. On a graph the vertical line is the y-axis and the horizontal line is the x-axis. The origin is point ( 0, 0 ). To the left of the origin on the x-axis is the negative number line and to the right is the positive number line. On the y-axis, south of the origin is the negative number line and north is the positive number line. When you plot a point on a graph you do x first, so if x equals 1, you would move one right, -1, one left. IF y were to equal 2 then from the place where you are on the x-axis, 1, you would move two up, -2, two down. In this case x = 0 so you would stay at the origin, and y = -3 so you would move 3 down. So ( 0, -3 ) would lie negative y-axis. The answer is D.

3 0

2 years ago

Consider the fibonacci sequence below, which is the first term in the sequence to exceed 120?

gizmo_the_mogwai [7]

Answer:

144

Step-by-step explanation:

The sequence is:

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765, 10946

so you can see the first term larger than 120 is the 144.

3 0

2 years ago

A stadium has 45,000 seats. Seats sell for $28 in Section A, $24 in Section B, and $20 in Section C. If section C held 300 fewer

White raven [17]

Answer:

Let's define the variables:

A = number of seats in section A.

B = number of seats in section B.

C = number of seats in section C.

We have the equations:

A + B + C = 45,000.

C - 300 = B/2

A*$28 + B*$24 + C*$20 = $1,139,200

This is a system of equations, the first step to solve this is to isolate one variable in one of the equations, and then replace it in the others.

I will isolate C in the second equation:

C = B/2 + 300.

Now let's replace this in the other two equations:

A + B + B/2 + 300 = 45,000

A*$28 + B*$24 + (B/2 + 300)*$20 = $1,139,200

Let's simplify these equations:

A + B*(3/2) = 44,700

A*$28 + B*$34 + $6,000 = $1,139,200

Now let's isolate A in the first equation:

A = 44,700 - B*(3/2)

Let's replace this in the other equation:

(44,700 - B*(3/2))*$28 + B*$34 + $6,000 = $1,139,200

Now let's solve this for B.

-B*$8 + $1,252,200 = $1,139,200

-B*$8 = $1,139,200 - $1,252,200 = -$113,000

B = $113,000/8 = 14,125

Now we can replace that in the equations:

A = 44,700 - B*(3/2) = 44,700 - 14,125*(3/2) = 23,512.5, that we should round up to 23,513.

And C = B/2 + 300 = 7362.5

As we rounded the previous one up, we should round this one down to 7362.

3 0

2 years ago

In a swimming competition, Grace jumped from the height of 22 meters. The following table represents the height f (t), in meters

exis [7]

For this case we have the following variables:

t: time in seconds.

f (t): height as a function of time.

By the time Grace reaches the pool, the height is equal to zero.

We have the following table:

Time (t) (in seconds) Height f(t) (in meters)

1 25

2 20

3 15

4 0

We observe that the height is equal to zero after 4 seconds.

Equivalently:

$f (4) = 0$

Answer:

the following represents the x-intercept of f(t):

Grace reaches the swimming pool after 4 seconds

8 0

3 years ago

A cube has a volume of 125 cubic inches. What is the length of each edge? Enter your answer in the box. _____in​

A cube has a volume of 125 cubic inches. What is the length of each edge? Enter your answer in the box. _____in