Answer:
b = 1, c = -1 and d = 4
Step-by-step explanation:
To solve this question the rule of multiplicity of a polynomial is to be followed.
If the multiplicity of a polynomial is even at a point, graph of the polynomial will touch the x-axis.
If the multiplicity of the polynomial is odd, graph will cross the x-axis at that point.
From the graph of function 'f',
f(x) = (x - b)(x - c)²(x - d)³
Since, graph of the function 'f' crosses x-axis at x = 1 and x = 4, multiplicity will be odd and touches the x-axis at x = -1 multiplicity will be even.
So the function will be,
f(x) = (x - 1)[x - (-1)]²(x - 4)³
Therefore, b = 1, c = -1 and d = 4 will be the answer.
Answer:
D
Step-by-step explanation:
each one can be multiplied by 4 to get the cost
Answer: x = 5
Explanation:
2(5x + 2) = 54
10x + 4 = 54
10x = 54 - 4
10x = 50
x = 50/10
x = 5
Therefore, x = 5
Answer:
The other acute angle = 33 1/3°
Step-by-step explanation:
Hard to read the angle measure.
one acute angle = 56 2/3° x = the second acute angle
Find the other acute angles.
The two acute angles sum in a right triangle = 90°
56 2/3° + x° = 90°
x = 90 - 56 2/3
x = 89 3/3° - 56 2/3°
x = 33 1/3°