Answer:
a = 3
b = 2
c = 0
d = -4
Step-by-step explanation:
Form 4 equations and solve simultaneously
28 = a(2)³ + b(2)² + c(2) + d
28 = 8a + 4b + 2c + d (1)
-5 = -a + b - c + d (2)
220 = 64a + 16b + 4c + d (3)
-20 = -8a + 4b - 2c + d (4)
(1) + (4)
28 = 8a + 4b + 2c + d
-20 = -8a + 4b - 2c + d
8 = 8b + 2d
d = 4 - 4b
Equation (2)
c = -a + b + d + 5
c = -a + b + 4 - 4b+ 5
c = -a - 3b + 9
28 = 8a + 4b + 2c + d (1)
28 = 8a + 4b + 2(-a - 3b + 9) + 4 - 4b
28 = 6a - 6b + 22
6a - 6b = 6
a - b = 1
a = b + 1
220 = 64a + 16b + 4c + d (3)
220 = 64(b + 1) + 16b + 4(-b - 1 - 3b + 9) + 4 - 4b
220 = 60b + 100
60b = 120
b = 2
a = 2 + 1
a = 3
c = -3 - 3(2) + 9
c = 0
d = 4 - 4(2)
d = -4
Answer:
7 and -7
Step-by-step explanation:
Answer:X=5/6 Y=8/5
Step-by-step explanation:
-6x +5y=3
+6x
5y=6x+3 (divide each number by 5)
Y=6/5x + 3/5 (Plug that into your x equation)
12x+15 (6/5x + 3/5) =34
(Multiply 15 by the numbers in the brackets you can break it down and do 15•6 divided by 5 )
15•6=90 divided by 5=18x
15•3= 45 divided by 5=9
(Add like variables)
12x+18x=30x
30x+9=34
(Subtract 9 from itself do the same to 34)
9-9= 0
34-9=25
Divide 30 by itself to get x by itself then divide 25 by 30
25 divided by 30= 5/6
X=5/6 (plug that into the y equation)
Y=6/5•5/6+3/5
Multiply 6/5 and 5/6 straight across because this is multiplication you don't need like denominators
6/5•5/6=30/30=1
Y=1+3/5
1/1 + 3/5
Here you need to have like denominators because it is addition so just use 5
5•1=5
5/5+3/5=8/5
Y=8/5
Hey!
so for the first one its 60°, and for the second one its 1/6
Answer:
z=6
Step-by-step explanation:
z/3 + 1/2 = 5/2
Subtract 1/2 from each side
z/3 + 1/2-1/2 = 5/2-1/2
z/3 = 4/2
z/3 =2
Multiply each side by 3
z/3*3 = 2*3
z = 6