3x-y=6, in order to be able to graph this you would have to change the equation to y=, so you need to subtract 3x from that side making it -y=-3x+6, now you need to y positive, so divide both sides by -1, thus making the equation look like y=3x-6, now if you can't plug this into a calculator to see what it would look like then you need to know what y=mx+b means. y is the equation you want to graph obviously, m = the slope, so our slope in this case would be -3, and b = our y intercept, so it would be (0,-6), so plot (0,-6) and use the slope to plot the rest of the points, some other points in this line should include (2,0), (-1,-9) and (4,6), just to name a few. Hope this helps.
Answer: -1, 1, 3, 5
Step-by-step explanation:
F(n)= 2n-3
F(1)=2(1)-3= -1
F(2)=2(2)-3= 1
F(3)=2(3)-3= 3
F(4)=2(4)-3=5
Answer:
The area of the pyramid’s base is 36 in².
The pyramid has 4 lateral faces.
The surface area of each lateral face is 27 in².
Step-by-step explanation:
"<u>Lateral</u>" means side, so the lateral faces are <u>triangles</u>.
The <u>base</u> is the bottom, which is a <u>square</u>.
To calculate the <u>area of the base</u>, use the formula for area of a square.
To calculate the <u>area of a lateral face</u>, find the area of a triangle.
In a pyramid, the number of lateral faces is the same as the number of sides in the base. <u>The square base as 4 sides, so there are 4 lateral faces</u>.
Answer:
Disagree
On weeks when Joseph works extra 2/3 hours more than Phil, Phil and Joseph can earn the same amount of money
Step-by-step explanation:
The given expression for the hourly earnings of Regina, Phil and Joseph are as follows;
Regina: 6.50·h + 16
Phil: 3·(2.5·H + 5)
Joseph: 7.50·h + 10
The number of hours worked = h
The hourly earnings for Phil equated to the hourly earnings of Joseph gives;
3·(2.5·H + 5) = 7.50·h + 10
Simplifying we get;
3 × 2.5·h + 3 × 5 = 7.50·h + 10
7.5·h + 15 = 7.50·h + 10
Which gives
15 = 10 + 5 = 10 which is not correct.
Therefore, when both Phil and Joseph works the same number of hours, in the week, Phil will earn 5 units more Joseph
However, we have that, where Joseph works extra 5/7.5 or 2/3 hours more than Phil, every week, they will earn the same amount of money every week.
Therefore, it is possible for Phil and Joseph to earn the same amount of money when Joseph works extra 2/3 hours more than Phil which gives;
On weeks when Joseph works extra 2/3 hours more than Phil, Phil and Joseph can earn the same amount of money.
Answer:
See explanation
Step-by-step explanation:
1. Factor the function 
2. The zeros (or the solutions of the equation f(x)=0) are x=3 and x=5. So? points (3,0) and (5,0) are the points on the graph that are the solutions of the equation.
3. Find the vertex:
Thus, the coordinates of the vertex are (4,2) and the axis of symmetry is the vertical line that passes trough the vertex: x=4.
