So you want to solve for x?
It would be nice if this would easily factor:
(-4x + 5)(2x +1) = 0 This will not work!
So you need to use the quadratic formula:
a = -8, b = 4, c = 5
x = (-4 +/-
)/2(-8)
= (-4 +/-
)/-16
= (-4 +
)/-16
= 1/4 -
/4
Answer:
30°,40°
Step-by-step explanation:
let the other angles be 3x and 4x
3x+4x+110=180
7x=180-110=70
x=70/7=10
3x=3×10=30
4x=4×10=40
Answer:
See explanation
Step-by-step explanation:
The scatter plot shows that there is a negative linear trend. That as the distance to the coffee shop increases, whatever the y value represents goes down.
6 below and 6 above
(1,4) (7,1) Coordinates of the two points on the trend line
I can't see what the Y axis represents so can't really explain the prediction but as the distance to the coffee shop increases, whatever the Y axis represents will decrease.
I: y=(1/2)x+5
II: y=(-3/2)x-7
substitution:
fancy word for insert the definition of one variable in one equation into the other
-> isolate a variable, luckily y is isolated (even in both equations) already
-> substitute y of II into I (=copy right side of II and replace y in I with it):
(-3/2)x-7=(1/2)x+5
-3x-14=x+10
-3x-24=x
-24=4x
-6=x
-> insert x back into I (or II):
y=(1/2)x+5
=(1/2)*(-6)+5
=-3+5=2
elimination: subtract one equation from the other to eliminate a variable, again y is already isolated->no extra work required
I-II:
y-y=(1/2)x+5-[(-3/2)x-7]
0=(1/2)x+5+(3/2)x+7
0=(4/2)x+12
-12=2x
-6=x
-> insert x back into I (or II):
y=(1/2)x+5
=(1/2)*(-6)+5
=-3+5=2
