Adiya’s method is not correct. To form a perfect square trinomial, the constant must be isolated on one side of the equation. Also, the coefficient of the term with an exponent of 1 on the variable is used to find the constant in the perfect square trinomial. Adiya should first get the 20x term on the same side of the equation as x2. Then she would divide 20 by 2, square it, and add 100 to both sides.
Answer:
The correct option is c.
Step-by-step explanation:
The percentage probability distribution is:
Size (X) Percentage
2 39.9
3 24.4
4 20.1
5 10.8
6 3.3
7 1.5
Total 100.0
Compute the probability that the size of the family is 4 or more as follows:
P (X ≥ 4) = P (X = 4) + P (X = 5) + P (X = 6) + P (X = 7)
= 0.201 + 0.108 + 0.033 + 0.015
= 0.357
Thus, the probability that the size of the family is 4 or more is 0.357.
The correct option is c.
B.
For all 3 to work together, they can paint 1 room per hour.
C.
John can paint a room at 1/4 of a room per hour.
Rick can paint a room at 1/5 of a room per hour.
Together they can paint a room at a rate of 9/20 of rooms per hour.
D.
1 = 1/4j + 1/5r + 11/20m (john, rick, molli)
E.
The least common denominator is 20
F.
1 = 1/4(0) + 1/5(0) + 11/20x
1 = 0 + 0 + 11/20x
1 = 11/20x
x = 1/(11/20)
x = 1 9/11
It will take Molli 1 hour and 49 minutes (60 x 9/11) to paint the room alone.
Answer:
x=2
Step-by-step explanation:
log_x(y)+log_x(z)=log_x(yz), so logb(x-1) + logb(x+2)=logb((x-1)(x+2)). next subtract logb(8-2x) from both sides to get logb((x-1)(x+2))-logb(8-2x)=0. log_x(y) - log_x(z) = log_x(y/z). so now we have logb((x-1)(x+2)/(8-2x)). now you can put it into exponential form: (x-1)(x+2)/(8-2x)=b^0=1 now just solve for x:
(x-1)(x+2)= 8-2x, x^2 + x -2 = 8-2x, x^2 + 3x -10 = 0, (x+5)(x-2)=0 x=-5, x=2. plug both into the original equation to check which one is correct, since log_x(y) can't have a negative y, x=-5 doesnt work
Answer:
w = 99
Step-by-step explanation:
45 = w - 54
99 = w
<em>good luck, i hope this helps :)</em>
