Answer:
42
Step-by-step explanation:
Answer:
x < 2
Step-by-step explanation:
We're going to solve this just like we would an equation, but with just one little twist. First, let's add 1/3 to both sides.
5/6x - 1/3 > 1 1/3
5/6x > 1 2/3
First, let's turn 1 2/3 into an improper fraction to make it easier to work with. Multiply the big number by the denominator, then add the numerator.
1 x 3 + 2 = 5
1 2/3 = 5/3
Now, multiply 5/3 by 2/2 to get 6 as the denominator. This works because 2/2 simplifies to 1 and therefore does not change the value of the fraction.
5 x 2 = 10
3 x 2 = 6
5/3 = 10/6
Now divide both sides by 5/6. Because they both have the same denominator, we can cancel the denominator out and just divide 5x/5 and 10/5.
5/6x > 10/6
5x > 10
x > 2
Wait! We don't have the correct answer just yet. Whenever you divide an inequality, you have to flip the inequality sign.
x < 2
Now <em>there's</em> our final answer.
Answer:
Inverse of y = 
= 
.
Step-by-step explanation:
Given : f(x) = y = 100 - x²
To find : Find inverse.
Solution : We have given that :
f(x) = y = 100 - x²
Step1) : Replace every x with a y and replace every y with an x .
x = 100 - y².
Step 2): Solve for y
On subtracting 100 from both sides
x - 100 = -y²
On multiplying both side by -1
100 -x = y²
Taking square root both sides and switching sides
y = ± 
.
Step3 ) : Replace y with .
= ± .
Therefore, inverse of y = = ± .
Answer:
Missing side length = 54
Step-by-step explanation:
If both the triangles given in the picture are similar their corresponding sides will be proportional.
By applying this rule in the given similar triangles,
Therefore, missing side length = 
= 
= 
= 
= 
Okay, here we go.
With simpler decimals, this is a bit easier so I'll explain that first to make sure you get the basic idea.
Let's say you had a decimal for .75 and wanted to create the fraction mathematically. To do this you would:
First divide the decimal by 1 so .75/1
Then multiply be a multiple of 10 that eliminates the decimal so in this case 100
so you now have 75/100
When you simplify that fraction by dividing by 25, you of course get 3/4
Now on to your more complicated question:
Let's assign a variable to your repeating decimal so:
x=.1515151515
Now, let's identify the repeating digits, here they are .15
Move one set of the repeating digits in front of the decimal so now we get:
100x=15.1515151515
Now you have two equations, they are:
x=.1515151515
100x=15.1515151515
Combine the equations into one equation:
100x-x=15.1515151515-.1515151515
99x=15
15/99
simplify and you get 5/33
