Answer:
4 3/8
Step-by-step explanation:
divide 35 by 8 which gets you that
Answer: 11 child tickets
Explanation: (look at picture)
Answer:
d. x = -5 or 1
Step-by-step explanation:
x² + 4x - 5 = 0
completing the square means that we find an expression in the form
(x + a)(x+a) = (x+a)²
or
(x - a)(x - a) = (x - a)²
the fact that the middle term is +4x tells us we are looking for
(x + a)²
so,
(x + a)² = x² + 2ax + a²
now let's compare this with what we have :
x² = x²
2ax = 4x
2a = 4
a = 2
that means the full square is
(x + 2)² = x² + 4x + 4
but we have -5 in our original equation.
what do we need to do to change this to +4 ?
we have to add 9.
and to keep the equation true, we need to do this on both sides :
x² + 4x -5 + 9 = 0 + 9
x² + 4x + 4 = 9
(x + 2)² = 9
x + 2 = ±3
x + 2 = +3
x = 1
x + 2 = -3
x = -5
and that gives us answer option d. -5 or 1
Answer:
Step-by-step explanation:
Well, a standard cube number (dice) has numbers from 1 to 6. So the combinations that give 9 or higher, are 3-6, 6-3, 4-5, 5-4, 4-6, 6-4,5-6, 6-5, 5-5, 6-6. We will call this favorable cases (Fc) = 10
Yet, the total number of cases (T) is 6 different number by 6 different combinations (1-1 , 1-2 , 1-3 ..... 6-6), 6 x 6= 36 = T.
So, in order to calculate the probability of an event (10/36), you can use the following formula:
Answer:
![\displaystyle [0, 6]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5B0%2C%206%5D)
Step-by-step explanation:
![\displaystyle 1 = -\frac{1}{2}[10] + b \\ \\ 1 = -5 + b; 6 = b \\ \\ [0, 6]](https://tex.z-dn.net/?f=%5Cdisplaystyle%201%20%3D%20-%5Cfrac%7B1%7D%7B2%7D%5B10%5D%20%2B%20b%20%5C%5C%20%5C%5C%201%20%3D%20-5%20%2B%20b%3B%206%20%3D%20b%20%5C%5C%20%5C%5C%20%5B0%2C%206%5D)
I am joyous to assist you at any time.
