Answer:
2x + y = 3
y = -2x + 3 <==
-2y = 14 - 6x
y = -14/2 + 6/2x
y = -7 + 3x
y = 3x - 7 <===
Step-by-step explanation:
Answer: C. 
Step-by-step explanation:
If 't' represents the number of hours Joanne tutors and 'r' represents the number of hours she works as a receptionist.
Then the total hours she can work=t+r
Since she can work up to 25 hours.
Thus
If she earns $25 per hour by tuition and $ 12 per hour by working as a receptionist .
Then her total earning =$
Since she must earn $200.
Then .
Therefore, the required system of inequality will be
Answer:
Kathleen determines the four arithmetic means to be −2.8 , 1.4, 5.6, and 9.8.
Step-by-step explanation:
The overall interval is 14 -(-7) = 21 units in length. The four equally-spaced "means" divide the interval into 5 equal parts, each one of which is ...
21/5 = 4.2
The four means are ...
-7 +4.2 = -2.8
-2.8 +4.2 = 1.4
1.4 +4.2 = 5.6
5.6 +4.2 = 9.8
See picture below for a geometric view.
Let x = height of building
We use basic trigonometry to find x.
The tangent function = opposite side of right triangle OVER adjacent side of right triangle.
tan(2°) = x/1
Solve for x.
After multiplying both sides by 1 (here 1 represents 1 mile), we get
tan(2°) = x.
We now use the calculator to find x.
In fact, you can take it from here. Use your calculator.
