Answer:
Option B). x = -9, -2 and 8.
Step-by-step explanation:
The given function is f(x) = x³ + 3x² -70x - 144 and f(-9) = 0, f(-2) = 0, f(8) = 0
We have to find the solutions to the equation x³+ 3x² = 70x + 144
Now we rewrite the function in the equation form as
x³ + 3x² - 70x - 144 = 0
x³ + 3x² = 70x + 144
we know for the values of x = -9, -2, and 8 value of the function is 0. So when we rewrite the function in the form of an equation, -9, -2 and 8 will be the zero factors of the equation.
So solutions of the equation are x = -9, -2 and x = 8.
In this sequence, the rule is +7.
-9 + 7 = -2
-2 + 7 = 5
5 + 7 = 12
So, to find the 24th term we can continue adding 7 until we reach the 24th term.
12 + 7 = 19
19 + 7 = 26
26 + 7 = 33
33 + 7 = 40
40 + 7 = 47
47 + 7 = 54
54 + 7 = 61
61 + 7 = 68
68 + 7 = 75
75 + 7 = 82
82 + 7 = 89
89 + 7 = 96
96 + 7 = 103
103 + 7 = 110
110 + 7 = 117
117 + 7 = 124
124 + 7 = 131
131 + 7 = 138
138 + 7 = 145
145 + 7 = 152
The 24th term in the sequence is 152.
Answer:
B, C, and E
Step-by-step explanation:
6(x+4)+35
B) 6x+ 6(4)+ 35 (They just distributed the 6 to the x but left the 4 undistributed)
C) 35+6(x+4) (If addition or subtraction, moving the numbers won't change the sum/difference)
E) 6(4+x)+35 (If addition or subtraction, moving the numbers won't change the sum/difference)
Answer:
standard form is Ax + By = C where A, B and C are all integers.
y=5/3x-6/8 First, multiply by LCD 24:
24y = 40x -18
40x - 24y = 18
Division by 2 is recommended (this is because 6/8 should have been reduced to 24, making LCD just 12):
20x - 12y = 9
Step-by-step explanation: