Answer:
See explanation
Step-by-step explanation:
A box contains 2 blue cards numbered 1 through 2. Let them be named B1 and B2. This box also contains 3 green cards numbered 1 through 3. Let them be named G1, G2 and G3.
The sample space of picking a blue card followed by a green card is
B1, G1
B1, G2
B1, G3
B2, G1
B2, G2
B2, G3
So, there are 6 different outcomes in this sample space.
Answer:
56
Step-by-step explanation:
We know that radius of a circle is perpendicular to the tangent of the circle at the point of contact.

Answer:
The quotient is x² + 6x +3
Remainder = -1
Step-by-step explanation:
<u><em>Explanation:-</em></u>
Given Polynomial equation
f(x) = x³+5x²−9x−7
By using synthetic division
<em> x = 2 </em> 1 5 -9 -7
<u> 0 1 12 6</u>
<u> 1 6 3 </u><em><u> -1 </u></em><u> </u>
The quotient is x² + 6x +3
Remainder = -1
1. this is a series of squares Formula is an = n^2
2. Arithmetic series with common difference d = -2.
an = a1 + (n-1)d = 3 -2(n-1)
Cant see the rule for Number 3
Answer:
yes
Step-by-step explanation:
There are several ways to go at this.
My first choice is to use a graphing calculator. It shows the function has a zero at x=5, so x-5 is a factor.
Another good choice is to use synthetic division (2nd attachment). If the remainder is zero, then x-5 is a factor. It is and it is.
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You can also evaluate the function at x=5. The remainder theorem tells you that if the value is zero, then x-5 is a factor. Evaluating the polynomial written in Horner form is a lot like synthetic division.
(((x -4)x -15)x +58)x -40 for x=5 is ... (-10·5 +58)5 -40 = 40-40 = 0
The value of h(5) is zero, so x-5 is a factor of h(x).