First you find the probability of each coin turning up tails, then you multiply the two probabilities together:
1/2 x 1/2 = 1/4
Answer:
x = -1 and x = 5
Step-by-step explanation:
<em>What are the solutions of the equation (x – 3)² + 2(x – 3) -8 = 0? Use u substitution to solve.</em>
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(x – 3)² + 2(x – 3) -8 = 0 -------------------------------------------------------(1)
To solve this problem, we will follow the steps below;
let u = x-3
we will replace x-3 by u in the given equation:
(x – 3)² + 2(x – 3) -8 = 0
u² + 2u -8 = 0 ----------------------------------------------------------- --------------(2)
We will now solve the above quadratic equation
find two numbers such that its product gives -8 and its sum gives 2
The two numbers are 4 and -2
That is; 4×-2 = -8 and 4+(-2) = 2
we will replace 2u by (4u -2u) in equation (2)
u² + 2u -8 = 0
u² + 4u - 2u -8 = 0
u(u+4) -2(u+4) = 0
(u+4)(u-2) = 0
Either u + 4 = 0
u = -4
or
u-2 = 0
u = 2
Either u = -4 or u = 2
But u = x-3
x = u +3
when u = -4
x = u + 3
x = -4 + 3
x=-1
when u = 2
x = u + 3
x = 2 + 3
x=5
Therefore, x = -1 and x =5
x
Answer:
y-2=1/2(x-[-1])
Step-by-step explanation:
Point slope form equation is y-
=m(x-
)
Substitute your given information into the equation
He used 7 trays to hold all the marbles with equal number each tray. That means, there will be 16 marbles for each tray. Therefore, the number of marbles he will display on 3 trays would be a total of 48 marbles. Hope this answers the question. Have a nice day.
Answer:
166°
Step-by-step explanation:
Supplementary angles have a sum of 180 degrees
That being said, we can find the measure of the missing angle by subtracting the measure of the given angle by 180
(the giving angle having a measure of 14°)
so missing angle = 180 - 14
180 - 14 = 166
Hence, the measure of the second angle 166°
