Each line indicates the amount of a certain object.
We already know that the value of the green line is 15, all that is left to do is find the rest . . .
<u>Values</u>
Red Line: 20
Orange Line: 60
Green Line: 15
turquoise Line: 45
Blue Line: 65
Your welcome :3
Answer:
Step-by-step explanation:
Polynomial f(x) has the following conditions: zeros of -2 (multiplicity 3), 3 (multiplicity 1), and with f(0) = 120.
The first part zeros of -2 means (x+2) and multiplicity 3 means (x+2)^3.
The second part zeros of 3 means (x-3) and multiplicity 1 means (x-3).
The third part f(0) = 120 means substituting x=0 into (x+2)^3*(x-3)*k =120
(0+2)^3*(0-3)*k = 120
-24k = 120
k = -5
Combining all three conditions, f(x)
= -5(x+2)^3*(x-3)
= -5(x^3 + 3*2*x^2 + 3*2*2*x + 2^3)(x-3)
= -5(x^4 + 6x^3 + 12x^2 + 8x - 3x^3 - 18x^2 - 36x - 24)
= -5(x^4 + 3x^3 - 6x^2 - 28x -24)
= -5x^4 - 15x^3 + 30x^2 + 140x + 120
Answer:
6
Step-by-step explanation:
15-8 =7 as LHS is 7 so RHS must also be 7 so at RHS 6+1 =7
A: {<u>1</u>, 2, 3, <u>4</u>, 5, 6, <u>7</u>, 8, 9, 10, <u>11</u>, 12}
<span>B: {-2, -1, <u>1</u>, <u>4</u>, <u>7</u>, <u>11</u>}
</span>A<span> ∩ </span>B = {1, 4, 7, 11}
So the answer is B.
Intersection of two or more sets cointains only common elements.
