Answer:

is the required polynomial with degree 3 and p ( 7 ) = 0
Step-by-step explanation:
Given:
p ( 7 ) = 0
To Find:
p ( x ) = ?
Solution:
Given p ( 7 ) = 0 that means substituting 7 in the polynomial function will get the value of the polynomial as 0.
Therefore zero's of the polynomial is seven i.e 7
Degree : Highest raise to power in the polynomial is the degree of the polynomial
We have the identity,

Take a = x
b = 7
Substitute in the identity we get

Which is the required Polynomial function in degree 3 and if we substitute 7 in the polynomial function will get the value of the polynomial function zero.
p ( 7 ) = 7³ - 21×7² + 147×7 - 7³
p ( 7 ) = 0

Answer:
25.64 in^2
Explanation:
<span><span>60360</span>⋅π<span>r2</span></span>, where <span>r=7</span>
<span>=<span>16</span>⋅3.14⋅<span>72</span>=<span>16</span>⋅3.14⋅49=25.64</span> in^2
Answer: 35 gold beads and 15 non-gold beads
Step-by-step explanation:
70% of 50
.70×50 = 35
50 - 35 = 15
Answer:
y = 4
x = -6
Step-by-step explanation:
multiply first equation by 3
3×(5x+4y)= -14 ➡ 15x + 12y = -42
multiply second equation by -5
-5×(3x+6y)= 6➡ -15x -30y = -30
now add both equations up
15x +12y -15x -30y = -42 -30 (15x will eliminate -15x)
-18y = -72
y = 4 use this to find value of x
3x + 6×4 = 6 ➡ ex = -18 ➡ x = -6
Well, for number 15, this is what I came up with, I hope it is what your teacher is looking for:
So it starts out with 3 butterflies, and it doubles every minute:
3x2 = 6 That is for the first minute
6x2 = 12 That is for the second minute
12x2 = 24 That is for the third minute
24x2 = 48 That is for the fourth minute
So, It asks for using the power of 2 in your answer, that is what I came up with for part A.
For part B I would say something like this:
X represents the number of butterflies left.
The equation, using the information above would be this:
48-7 = X
Then simplify, which would leave you with 41 butterflies.
I hope this helps! :)