Step-by-step explanation:
3x+x=-7-5
4x=-12
x=-12/4
x=-3
We are given with
p2 + 2pq = 0.64
and another formula is
p2 + 2pq + q2 = 1
Substituting
0.64 + q2 = 1
q2 = 1 - 0.64
q2 = 0.36
q = 0.6
Another formula is
p + q = 1
p = 1 - 0.6
p = 0.4
What is asked is 2pq
p2 + 2pq = 0.64
2pq = 0.64 - 0.4^2
2pq = 0.48
There is 48% that has the heterozygous trait.
Answer:
b. 4x^2 + 3x - 6
Step-by-step explanation:
The values of f(x) for the extremes of x are more positive than the value of f(x) for the middle x, so we know the parabola opens upward. That eliminates choice D.
It is probably easiest to evaluate the other expressions to see which one matches the given f(x) values. For the purpose, it is usually easier to use the Horner form of the equation.
a. f(-2) = (3(-2) +4)(-2) -6 = -2(-2) -6 = -2 ≠ 4
b. f(-2) = (4(-2) +3)(-2) -6 = -5(-2) -6 = 4 . . . . matches the given data point
c. Because (b) matches, we know this one will not.
The appropriate choice is B.
Answer:
length = 18 ft
Step-by-step explanation:
Let w = width
L = w+7
Area = l*w
198 = (w+7) (w)
Distribute
198 = w^2 +7w
Subtract 198 from each side
0 = w^2 +7w -198
Factor
What 2 numbers multiply to -198 and add to 7
18* -11 = -198
18+-11 = 7
0=(w+18) (w-11)
Using the zero product property
w+18 =0 w-11=0
w= -18 w=11
We cannot have negative width so w=11
We want the length
l = w+7
l = 11+7 = 18
Answers:
Center = (0, 10)
Radius = 4
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Work Shown:
Rewrite the equation into
(x - 0)^2 + (y - 10)^2 = 4^2
Then note how it is in the form
(x - h)^2 + (y - k)^2 = r^2
We see that the center is (h,k) = (0,10) and the radius is r = 4.
