Answer:
3rd graph down
Step-by-step explanation:
greens are x and carrots are y in my equations
2x - y >= 3
x + 2y < 4
The first equation is solid and will highlight everything to the right of it because it is a >
the second is dashed and will highlight everything to the left of it because it is a <
the only 2 graphs that show this are 1 and 3
looking at the points you can see that the points for the solid line are both the same so ignore those and go to the dashed lined ones.
on the first graph the points are (0,4)
plugging those into our equation gives us 0 + 2*4 <4
or 8<4 which doesnt make sense making 3 the correct graph
(sorry my answer wasnt posting so i had to start over and make it less detailed, but comment if you need any explanation)
Answer:
2) Equation 1 and Equation 2 have the same number of solutions.
Step-by-step explanation:
The two given equations are
1) 15x + 6 = 41 and 2) 2x + 13 = 28
Solving both equations, we get
Solving (1) : 15x + 6 = 41 ⇒ 15x = 41 - 6 = 35
or, x = 35/15 ⇒ x = 7/3
Solving (2) : 2x + 13 = 28⇒ 2x = 28 - 13 = 15
or, x = 15/2 ⇒ x = 15/2
So, from above solutions we can say that Equation 1 and Equation 2 have the same number of UNIQUE solution.
Answer:
64x⁶ - 216y³
Step-by-step explanation:
The formula for the volume of a cube is
Vol. = l³
For the large cube,
V =(4x²)³
V = 64x⁶
For the small cube,
v =(6y)³
v = 216y³
The difference in volume is
Diff. = 64x⁶ - 216y³
using the conversion factor the speed of the car is 44.74 miles/hr
Answer:
8x²+6x+12xy+9y
Step-by-step explanation:
⇒(-2x - 3y)(-4x - 3)
⇒(-2x × -4x)+(-2x × -3)+(-3y × -4x)+(-3y × -3)
⇒8x²+6x+12xy+9y