Y=mx+b
where m is the slope and b is the y intercept
Answer:
Step-by-step explanation:
The vertex form of a quadratic function is f(x) = a(x – h)2 + k, where a, h, and k are constants. of the parabola is at (h, k).
Answer:
(a) 350
(b) 175
(c) 21
(d) 196
Step-by-step explanation:
Number of females = 7
Number of males = 5
Total ways of selecting r items from n items is

(a)
Total ways of selecting 3 females and 2 males.




(b)
Total ways of selecting 4 females and 1 male.



(c)
Total ways of selecting 5 females.



(d)
Total ways of selecting at least 4 females.
Total ways = 4 females + 5 females


First we will compute the h+k and then multiply the result by 2.
To add polynomials, we add terms whose variables are alike, for example:
we add the coefficients of x^2 together, the coefficients of x together and so on.
Therefore:
h + k = x^2 + 1 + x - 2 = x^2+x-1
Now, we will multiply this answer by 2 to get the final answer:
2(h+k) = 2(x^2+x-1) = 2x^2 + 2x -2
Step-by-step explanation:
part A:
ABCD is transformed to obtain figure A′B′C′D′:
1) by reflection over x-axis, obtain the image :
A(-4,-4) B(-2,-2) C(-2, 1) D(-4, -1)
2) by translation T (7 0), obtain the image :
A'(3,-4) B'(5,-2) C'(5, 1) D'(3, -1)
part B:
the two figures are congruent.
the figures that transformed by reflection either or translation will obtain the images with the same shape and size (congruent)