Answer:
x=−1, 3/8
Step-by-step explanation:
Answer:
y = 2x + 1 --> linear
y = -4x + 7 --> non-linear
Not a solution for a linear system.
Step-by-step explanation:
for (a), y = 2x+1, substitute the x and y values. keep in mind, that in a linear pair, (x, y). So, for the first equation you get:
7 = 2x3 + 1. This is correct, because 6 + 1 is 7. Therefore, (a) is linear.
for (b), we have to substitute our values again. You get:
7 = -4x3 + 7, which is
7 = -12+7, which is not true. So, (b) is not linear.
This means that for the linear pair (3, 7), it does not satisfy both equations, which means that it is not a solution for the linear system.
Answer:
x + y = 29
5x + 2y = 100
Step-by-step explanation:
Here, we want to set up equations
There are 29 problems, so adding up the number of individual problem types will give 29
x + y = 29 ••••••(i)
Let us work with points now;
x is worth 5 points, y is worth 2 points
Thus, mathematically;
5x + 2y = 100 ••••••••••(ii)
Answer:
70.01 ft
Step-by-step explanation:
The angle of depression is 40°, which makes the angle formed by the ground and the line to the tower also 40°.
Since the side opposite of the 40° on the bottom is given, then you can use sine to find how far Ranger Bob is, since the line from him to the tower is the hypotenuse.
Let x = the hypotenuse
sin 40 = 45/x
x = 45/sin 40
x ≈ 70.01 (to the nearest hundredth)
1995 = x
1996 = x + 0.62
1997 = x + 0.62 + 0.29
x + x + 0.62 + x + 0.62 + 0.29 = 11.25
3x + 1.53 = 11.25
3x = 11.25 - 1.53
3x = 9.72
x = 9.72 / 3
x = 3.24 <== 1995 = 3.24 million
1996 = 3.24 + 0.62 = 3.86 million <==
1997 = 3.24 + 0.62 + 0.29 = 4.15 million <==