Answer:
1. value is 0; x-3 is a factor . . . . . . . . . . . . . .third choice
2. evaluates at x = -1; remainder is -11 . . . . first choice
Step-by-step explanation:
Dividing f(x) by (x -a) gives ...
f(x)/(x -a) = g(x) +r/(x -a) . . . . some quotient and a remainder r
If we multiply this expression by (x -a), we see ...
f(x) = (x -a)g(x) +r
so
f(a) = (a -a)g(a) +r . . . . . evaluate the above equation at x=a
f(a) = 0 +r
f(a) = r . . . . . . . . . a statement of the remainder theorem
If r=0, then x-a is a factor of f(x) = (x-a)g(x).
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1. We have "a" = 3, and f(3) = 0. Therefore (x-3) is a factor.
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2. We have "a" = -1, and f(-1) = -11. Therefore the remainder from division by (x+1) is -11.
Its D because supplementary means equal to 180 so 151+29 is 180 there its D
i. Let t be the line tangent at point J. We know that a tangent line at a point on a circle, is perpendicular to the diameter comprising that certain point. So t is perpendicular to JL
let l be the tangent line through L. Then l is perpendicular to JL ii. So t and l are 2 different lines, both perpendicular to line JL.
2 lines perpendicular to a third line, are parallel to each other, so the tangents t and l are parallel to each other.
Remark. Draw a picture to check the
Answer:
15.625
Step-by-step explanation:
- (2.5)^3 = 2.5 · 2.5 · 2.5
- 2.5 · 2.5 · 2.5 = 6.25 · 2.5
- 6.25 · 2.5 = 15.625
Therefore, (2.5)^3 = 15.625.
Answer:
d) 330
Step-by-step explanation:
The number of ways can a dance instructor send 4 of her 11 students to summer dance program is C(11 , 4)
That is 
ways
by using formula 
now simplification
= 
after cancelling 7! and on simplification
= 
after cancellation we get 330 ways
The number of ways can a dance instructor send 4 of her 11 students to summer dance program is 330
