Answer:
There are 12 possible outcomes.
Step-by-step explanation:
For each of the three sizes of beverages, there are four flavors. So there are 3 * 4, or 12, possible outcomes.
4x + 8y = 20
- 4x + 2y = -30
find y first
in order to find y eliminate x
add the two equations together
4x+-4x+8y+2y= 20+-30
4x-4x+8y+2y= 20-30
10y= -10
divide both sides by 10 to get y by itself
10y/10= -10/10
y= -1
find x by using the substitution method
- 4x + 2y = -30
-4x+2(-1)=-30
-4x-2= -30
move -2 to the other side
sign changes from -2 to +2
-4x-2+2= -30+2
-4x= -28
divide both sides by -4
-4x/-4= -28/-4
x= 7
answer:
(7,-1)
Answer:
The value of x = 109°
angle PQS = 24°
Step-by-step explanation:
24° + 47° + x = 180° { angles on straight line }
=> 71 ° + x = 180°
=> x = 180° - 71°
=> x = 109°
Now,
Angle PQS = 24°
angle PQS = angle QSR { alternative angle }
Write this as -z⁴+3z²=-z²(z²-3). This is a quadratic in z². It could also be called a quadratic quartic.
As a polynomial it is fourth degree.
Answer:
$96.00
Step-by-step explanation:
Perimeter formula, 2w+2l
2(23)+2(25)=96 feet
1$ per foot
96 feet,
so $96
