Answer:
24>35+x
Step-by-step explanation:
24-35<x
-11<x
x>-11
Answer:
1/5[8x³ –7x² –21x + 18]
Step-by-step explanation:
Let the polynomial be:
ax³ + bx² + cx + d
Where:
a => is the coefficient of x³
b => is the coefficient of x²
c => is the coefficient of x
d => is the constant term.
From the question given above,
Coefficient of x² (b) = a – 3 ..... (1)
Coefficient of x (c) = 3b ...... (2)
Constant term (d) = 2 + a ..... (3)
Sum of coefficient (a + b + c) = –4
a + b + c = –4
b = a – 3
c = 3b = 3(a – 3)
a + b + c = –4
a + (a – 3) + 3(a – 3) = –4
a + a – 3 + 3a – 9 = –4
Collect like terms
a + a + 3a = –4 + 3 + 9
5a = 8
Divide both side by 5
a = 8/5
Substitute the value of a into equation (1)
b = a – 3
a = 8/5
b = 8/5 – 3
b = (8 – 15)/5
b = –7/5
Substitute the value of b into equation (2)
c = 3b
b = –7/5
c = 3(–7/5)
c = –21/5
Substitute the value of a into equation (3)
d = 2 + a
a = 8/5
d = 2 + 8/5
d = (10 + 8)/5
d = 18/5
SUMMARY:
a = 8/5
b = –7/5
c = –21/5
d = 18/5
Thus, the polynomial:
ax³ + bx² + cx + d
8/5x³ + (–7/5)x² + (–21/5)x + 18/5
8/5x³ –7/5x² –21/5x + 18/5
1/5[8x³ –7x² –21x + 18]
Answer:
19
Step-by-step explanation:
15z-14z=12+7
z=19
Answer: m=2, b=-3
Explanation: rewrite in slope intercept form - y=2x-3. Subtracting is the same as adding therefore it becomes, y=2x+(-3) then using the formula- y=Mx+b identify the slope which is 2 then identify the y-intercept which would be -3.
Hope that helps! Have a good day :)