Answer:
A. 34,689.370
b.35,000.00
Step-by-step explanation:
You can solve this system of the equations with graphical method or algebra method.
I solve this system with Gaus algorithm
first we divide second equation with number 3 and get x+10y=12
Than subtract first equation from second and get 5y=6 => y=6/5
now we replace y in the first equation and get x+5*(6/5)=6 =>x+6=6
=> x=0 (x,y)=(0,6/5)
Conclusion is that we have one intersection point between this two graphs.
Good luck!!!
1. 3t + 2b = 16....multiply by -3
5t + 3b = 25...multiply by 2
----------------
-9t - 6b = -48 (result of multiplying by -3)
10t + 6b = 50 (result of multiplying by 2)
---------------- add
t = 2
3t + 2b = 16
3(2) + 2b = 16
2b = 10
b = 5
so tacos (t) cost $ 2 and burritos (b) cost $ 5
===================
d + q = 75......d = 75 - q
0.10d + 0.25q = 10.95
0.10(75 - q) + 0.25q = 10.95
7.50 - 0.10q + 0.25q = 10.95
0.15q = 3.45
q = 23....so there are 23 quarters
=====================
x = 2 point shots, y = 3 point shots
x + y = 24.....multiply by -2
2x + 3y = 54
----------------
-2x - 2y = -48 (result of multiplying by -2)
2x + 3y = 54
----------------add
y = 6.......so there was 6 three point shots
x + y = 24
x + 6 = 24
x = 18......and 18 two point shots
======================
5.50g + 5 = 2.50g + 17
5.50g - 2.50g = 17 - 5
3g = 12
g = 4......they will cost the same with 4 game rentals
less then 4 rentals, use Fun Guys....more then 4, use Game Bank
=======================
(2,5)(4,9)
slope = (9 - 5) / (4 - 2) = 4/2 = 2
y = mx + b
slope(m) = 2
(2,5)...x = 2 and y = 5
now sub and find b, the y int
5 = 2(2) + b
5 = 4 + b
5 - 4 = b
1 = b
so ur equation is : y = 2x + 1 (line A)
(0,5)(3,8)
slope = (8 - 5) / (3 - 0) = 3/3 = 1
y = mx + b
slope(m) = 1
(0,5)...x = 0 and y = 5
now sub
5 = 1(0) + b
5 = b
so ur equation is : y = x + 5 (line B)
y = 2x + 1
y = x + 5
2x + 1 = x + 5
2x - x = 5 - 1
x = 4
y = 2x + 1
y = 2(4) + 1
y = 8 + 1
y = 9
so they will meet at (4,9)
=====================
sorry..not 100% sure about the bonus
Answer:
- Line XY contains ray OX and ray OY
- Line XY contains segment YX
- Ray YX exists in the diagram
Step-by-step explanation:
A ray can be named by any pair of points on an infinite line. Point O, X, and Y on the same line can be used to name rays OX, OY, XY, YX, OY, and XO. The first point named is the end point of the ray. The ray goes through the other point and continues indefinitely.
BA can be the name of a line segment, but not a ray. The line shown does not extend from point B beyond point A.
Any segment can be named by its end points in either order.
So, we have ...
- Line XY contains ray OX and ray OY
- Line XY contains segment YX
- Ray YX exists in the diagram
