Choice D is true. It is just another way to write the given function.
To confirm choices A through C, replace x as follows and do the math:
For A, let x = -3. Does it really yield -11?
For B, let x = 0. Does it really yield 5?
For C, let x = 1/2. Does it really yield 4?
Take it from here.
10 - 5x < 6x - 8
We can treat this inequality like a normal algebraic equation.
<em><u>Add 5x to both sides</u></em>
10 < 11x - 8
<em><u>Add 8 to both sides</u></em>
18 < 11x
<em><u>Divide both sides by 11</u></em>
1.64 < x
X is greater than the value 1.64.
Let's plug the number 2 into each value of x to verify.
10 - 5x < 6x - 8
10 - 5*2) < (6 * 2) - 8
10 - 10 < 12 - 8
0 < 4
It's correct.
Now let's plug 1, which is less than 1.64.
10 - 5x < 6x - 8
10 - 5 < 6 - 8
5 < -2
This is not correct, which means that our answer was correct.
Answer:
128
Step-by-step explanation:
Let's start by figuring out the last side of the triangle
we can use the pathagoryous theroem and get
11.9²+x²=16.9²
Solve this and get x=12
Let's now compute the area of the triangle
b*h*.5
12*11.9*.5=71.4
So 71.4 is the area of the triangle
we now need to find the area of the semi circle.
to do this we are going to find the area and then divide it by 2
We know that the length is equal to 12 which means that the radius is 6
so we have
π6²/2
which is 56.55
We add the 71.4+56.55= 127.94 which rounds to 128
<u>Answer:</u>
Probability of getting three jacks =
<u>Step-by-step explanation:</u>
It is given that you deal three cards from a regular deck which contains 52 cards.
We are to find the probability of getting all three Jack cards.
We know that there are a total of 4 jacks in a regular deck of 52 cards.
Therefore, the probability of getting three jacks =