The equation would look something like this: 50+60x (x being the number of hours the plumber worked)
Since the price increases by $60 every hour, the constant rate would be $60. The total cost of the bill would be 50+60*6
( $410 )

3 0

4 years ago

Which of the following constants can be added to x2 + 2/3 x to form a perfect square trinomial?

Nimfa-mama [501]

Answer:

Step-by-step explanation:

Next time, please be sure to share the possible answer choices. Also, please use " ^ " to indicate exponentiation: x^2 + (2/3)x.

Let's actually "complete the square" here:

Starting with x^2 + (2/3)x, identify the coefficient of the x term (it is 2/3).

Take half of that, which results in 2/6, or 1/3.

Square this result, obtaining (1/3)^2 = 1/9.

Add to, and then subtract from, this square:

x^2 + (2/3)x + 1/9 - 1/9

Rewrite x^2 + (2/3)x + 1/9 as the square of a binomial:

(x + 1/3)^2 - 1/9

In review: add 1/9 to, and then subtract 1/9 from, x^2 + (2/3)x

8 0

3 years ago

To measure the height of the cloud cover at an airport, a worker shines a spotlight upward at an angle 75° from the horizontal.

DaniilM [7]

The geometry of the problem does not seem well-described here. Assuming the spotlight beam and the observation are in the same vertical plane, there are two possibilities for the height:
.. 446 m . . . . . spotlight is aimed toward observer
.. 772 m . . . . . spotlight is aimed away from observer

See the attachment for the geometry. Choose the answer corresponding to the geometry of the problem.

7 0

3 years ago