9514 1404 393
Answer:
C
Step-by-step explanation:
You can reflect point x across the origin to find is is just above -1. Adding 3 to that value gives a point just above -1+3 = 2. That's where point C is located.
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<em>Algebraic solution</em>
Algebraically, you can set y = -x +3, and solve for x. That gives you ...
x = 3 -y
Using the relation given at the start:
0 < x < 1
0 < 3 -y < 1 . . . . . substitute for x
Adding y gives ...
y < 3 < y+1
We can separate this into two inequalities:
y < 3, and
3 < y+1
2 < y . . . subtract 1
Now, we have ...
2 < y < 3 . . . . . the location of point C
As you can see, it is much easier to use the number line directly to find the desired point.
<span>32.49 = 30
</span><span>4.26 = 5
30 / 5 = 6
answer
6
</span>
Answer:
x=17/3, y=10/3. (17/3, 10/3).
Step-by-step explanation:
4x-5y=6
2x+5y=-28
-----------------
4x-5y=6
-2(2x+5y)=-2(-28)
--------------------------
4x-5y=6
-4x-10y=56
------------------
-15y=-50
15y=50
y=50/15
y=10/3
4x-5(10/3)=6
4x-50/3=6
4x=6+50/3
4x=18/3+50/3
4x=68/3
x=(68/3)/4
x=(68/3)(1/4)=68/12=17/3
Answer:
B. The graph of g(x) is the graph of f(x) horizontally stretched by a factor of 4.
I just did it off of A.P.E.X
Substitution would be a great approach to solving this system, because the first equation defines y as x - 10 and you can thus substitute x - 10 for y in the second equation:
2x + (x - 10) = 4
Then 3x - 10 = 4, and 3x = 14. Solving for x: x = 14/3.
Since y = x-10, subst. 14/3 for x to find y: y = 14/3 - 30/3 = -16/3
The solution is (14/3, -16/3).
