A circle has a radius of 1 cm.

A computer technician keeps track of his earning through tout each months. The technician observes that his earnings are a linea

notka56 [123]

Answer:

Part A : E = 35h + 200

Part B : The per hour charges of the technician is $35/hour.

Step-by-step explanation:

The technician observes that his earnings are a linear function of the number of hours he works during the month. The technician finds that when he works 55 hours during the month, he earns $2,125 and when he works 30 hours, he earns $1,250 .

If we consider the number of hours that he works in a month is h and the amount he earns in dollars is E, then (30,1250) and (55,2125) are the two ordered pairs.

Part A : Therefore, the linear function to model the relationship between the number of hours worked and the money earned will be

$\frac{E - 2125}{2125 - 1250} = \frac{h - 55}{55 - 30}$

⇒ E - 2125 = 35(h - 55)

⇒ E - 2125 = 35h - 1925

⇒ E = 35h + 200

Part B : The equation above is in the slope-intercept form and the slope is 35 which means that the per hour charge of the technician is $35/hour. (Answer)

4 0

3 years ago

Which option best defines parallel lines?

Harlamova29_29 [7]

Parallel lines are coplanar lines (lines that lie on the same plane) and they do not intersect.

It’s important to understand that they remain the same distance apart over their entire lengthy which means they never get closer together of farther away from each other.

7 0

4 years ago

26. Define a relation ∼ ∼ on R 2 R2 by stating that ( a , b ) ∼ ( c , d ) (a,b)∼(c,d) if and only if a 2 + b 2 ≤ c 2 + d 2 . a2+

Tresset [83]

Answer:

~ is reflexive.

~ is asymmetric.

~ is transitive.

Step-by-step explanation:

~ is reflexive:

i.e., to prove $\forall (a, b) \in \mathbb{R}^2$ , $(a, b) R(a, b)$ .