Answer:
x = 2 and y = -2
Step-by-step explanation:
a) 5x-4y = 18
b) x+3y = -4
b) x = -3y - 4
a) 5 (-3y - 4) - 4y = 18 (substitution)
a) - 15y - 20 - 4y = 18
a) -19y = 18 + 20
a) y = 38/-19
y = -2
b) x + 3(-2) = -4
b) x - 6 = -4
x = 6-4 = 2
Answer:
x = 11
Step-by-step explanation:
-3x + 4 = -29
step one : subtract 4 from both sides
-3x = -29 - 4
-3x=-33
step two : divide -3 from both sides
-33 ÷ -3 = 11
x = 11
check your work now
-3(11) + 4 = -29
-3 x 11 = -33
-33 + 4 = -29
Step-by-step explanation:
Given the table:
Month f(x) = Number of imports g(x) = Number of exports
January (1) 3 1
February (2) 4 3
March (3) 5 5
April (4) 6 7
From the table, it is clear that:
Number of imports = number of month + 2
so
![f(x) = x + 2](https://tex.z-dn.net/?f=f%28x%29%20%3D%20x%20%2B%202)
also
Number of exports = 2(number of month) + 1
so
![g(x) = 2x - 1](https://tex.z-dn.net/?f=g%28x%29%20%3D%202x%20-%201)
Therefore, number of imports equals the number of month plus one. i.e.
, which is a linear function.
If we compare it with slope-intercept form of the line
![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
Then,
slope = m = 1
y-intercept = 2
Also number of exports equals is also a linear function.
i.e. ![g(x) = 2x - 1](https://tex.z-dn.net/?f=g%28x%29%20%3D%202x%20-%201)
Here,
slope = m = 2
y-intercept = -1
The midpoint is the average of the endpoint coords.
If (x,y) is F, then -6=(-14+x)/2 and 7=(13+y)/2.
<span>-14+x=-12 so x=2, and 14=13+y, so y=1 and F is (2,1).</span>
<span>3.01419753086 or approximately 3
</span>