Answer:
Renee has 9 Chocolate chip cookies and 3 peanut butter cookies.
Step-by-step explanation:
This is a system of equations:
C + p = 12
C = 3P
All you need to do is substitute C for 3P in the first equation.
C + P = 12
3P + P = 12
4P = 12
Divide both sides by 4
4P/4 = 12/4
P = 12/4
P = 3
Now, substitute P for 3 in the first equation.
C + P = 12
C + 3 = 12
Subtract 3 from both sides
C + 3 - 3 = 12 - 3
C = 12 - 3
C = 9
C = 9, P = 3
Answer:
X= 50°
Y= 70°
Z= 30°
BDE= 30°
2BDE= 60°
Step-by-step explanation:
(2x -70 )+z+(2x+20)=180...(sum of angle on a straight line)
2x -70 = BDE... alternate angles
Y + (2x-70)+(50+x-20) = 180...(sum of angles in a triangle)
X-20 = z ... alternate and opposite angles
(2x -70 )+z+(2x-+20)=180
2x-70 + x-20 +2x +20= 180
5x -70= 180
5x = 250
X= 50°
X-20 = z
50-20= z
30° = z
2x -70 = BDE
2(50) -70 = BDE
100-70 = BDE
30°= BDE
Y + (2x-70)+(50+x-20)
Y + 100-70 +50 +50 -20 = 180
Y + 200-90=180
Y= 70°
2BDE = 2*30
2BDE= 60°
The factor theorem states that if (x-a) is a factor of P(x) the P(a) = 0 so we can write, for this polynomial:
2^(4) - 3(2)^3 + A(2)^2 - 6(2) + 14 = 0
16 - 24 + 4A - 12 + 14 = 0
4A = -16+24 + 12 - 14 = 6
A = 6/4 = 1.5
