Answer:
x=1/4 or x=-1
Step-by-step explanation:
x−
1
x
+3x+3=0
4x2+3x−1
x
=0
Step 1: Multiply both sides by x.
4x2+3x−1=0
(4x−1)(x+1)=0(Factor left side of equation)
4x−1=0 or x+1=0(Set factors equal to 0)
x=
1
4
or x=−1
Check answers. (Plug them in to make sure they work.)
x=
1
4
(Works in original equation)
x=−1(Works in original equation)
Answer:
x=
1
4
or x=−1
Answer:
The expected value of the game is $0.33.
Step-by-step explanation:
There are N = 36 outcomes of rolling two 6-sided fair dice.
The sample for the sum of two numbers to be 7 is:
S = {(1, 6), (2, 5), (3, 4), (4, 3), (5, 2) and (6, 1)}
n (S) = 6
It is provided that there is a 7 to 1 odds against rolling a sum of 6 with the roll of two fair dice.
That is, you win $7 if you succeed and you lose $1 if you fail.
Compute the expected value of the game as follows:
Thus, the expected value of the game is $0.33.
Which statements are true for triangle LNM? Check all that apply.
Answer:
The correct options are 1, 2 and 4.
Step-by-step explanation:
In a triangle, the side which does not make an angle is called opposite side of that angle.
From the given graph it is clear that
Opposite side of ∠L is NM.
Option 1 is correct.
Opposite side of ∠M is NL.
Opposite side of ∠N is ML.
Option 2 is correct.
The side next to an angle is called adjacent side.
Adjacent sides of ∠L is LM and LN.
Adjacent sides of ∠M is LM and MN.
Adjacent sides of ∠N is LN and MN.
In a right angled triangle, the opposite sides of a right angle is called hypotenuse.
Angle M is a right angled, so the side NM is hypotenuse. Option 4 is correct.
Therefore the correct options are 1, 2 and 4.
Answer:
69 users.
Step-by-step explanation:
First, we need to calculate the amount of seconds in one day.
a) Each hour has 60 minutes and each minute has 60 seconds.
Therefore, one hour has (60)(60) = 3600 seconds.
b) Since the day has 24 hours, we are going to multiply the total amount of seconds per hour by 24.
3600 (24) = 86400 seconds per day.
c) Now that we have the amount of seconds per day, we are going to divide the total amount of users added each day by the amount of seconds per day.
6000000/86400 = 69.44 users per second.
Therefore, 69 users are added, on average, each second.
Jack spends $50 each week.
To calculate how much Jack spends each week, we need to find the amount he spends on sweets and magazines and subtract it from his pocket money. First, we calculate the amount Jack spends on magazines. Let's assume his pocket money is $100:
To find the amount Jack saves, we subtract the amount spent on sweets and magazines from his pocket money:
Total spent on sweets and magazines = $15 + $35 = $50
Amount saved each week = Pocket money - Total spent on sweets and magazines = $100 - $50 = $50
Therefore, Jack saves $50 each week.
#SPJ11
Answer:
Option (2)
Step-by-step explanation:
Two points having real and imaginary parts are,
w₁ = 4 + 2i
w₂ = -1 - 3i
By adding these numbers,
w₁ + w₂ = (4 + 2i) + (-1 - 3i)
= (4 - 1) + (2 - 3)i
= 3 - (1)i
Since, coordinates of a number on the graph are (x, y)
Here x = Real part
y = Imaginary part
Therefore, sum of these numbers will be (3, -1).
Option (2) will be the correct graph.
Answer:
B on Edge
Step-by-step explanation:
Got 100% on the test.